A 24 ounce mocha beverage with whipped cream has 25% of the calories allowed on a 2000 per day diet. What percentage of a 2500 calorie per day diet would this same drink constitute?

Answers

Answer 1

Answer:

the answer is 20 percent

Answer 2

Answer:

the answer would be c) 20‰

Step-by-step explanation:


Related Questions

You make $750 and 24% is taken out for taxes.
How much are the taxes?

Answers

If you have a calculator, you can do the following;

750 x 24 \ 100 which equals $180.
The taxes are 180 because 24% of 750 is 180

5 more than the product of 23 and the number n

Answers

Answer:

5+(23xN)

I think this is right. Sorry if I'm wrong.

5+x (23+n) this is way wrong probably

Evaluate the expression: 5 + 3 × (5 - 2) 2

16
32
36
72

Answers

Final answer:

Using the order of operations (PEMDAS), the expression 5 + 3 × (5 - 2) 2 evaluates to 32.

Explanation:

The expression to be evaluated is 5 + 3 × (5 - 2) 2. In mathematics you should always follow the order of operations, often remembered by the acronym PEMDAS which stands for: Parentheses, Exponents (i.e. Powers and Square Roots, etc.), Multiplication and Division, Addition and Subtraction. So in this case you should first evaluate the expression inside the parentheses (5 - 2), which equals 3. Then, 3 is squared to get 9 and is multiplied by 3 to get 27. Finally we add 5 to get a final answer of 32.

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Sabrina is catering a friend's party. A pan of chicken will feed 28 guests and a tray
of Turkey wraps will feed 42 guests. In total, the pans of food must feed at least 428
guests.

Part A: Write an inequality to represent the situation.

Part B: If she prepares 7 pans of chicken, what is the minimum number of trays of turkey wraps she must prepare for the party? Why?

Answers

Answer:

A : 428 ≤ 28x+42y B : 5.5238 trays

Step-by-step explanation:

X stands for # of pans of chicken and y stands for # of pans of wraps. Multiply 28 by 7 pans to get 196. then subtract the total guests by 196 to get 232. then divide that by how many a turkey wrap tray feeds so you get 5.5238

Final answer:

To ensure at least 428 guests are fed, using the given food pan capacities, Sabrina must prepare at least 6 trays of turkey wraps if she already plans on preparing 7 pans of chicken, according to the inequality 28x + 42y ≥ 428.

Explanation:

To solve this problem, we need to approach it in two parts. Let's tackle each part systematically.

Part A: Writing the Inequality

Let's let x represent the number of pans of chicken and y represent the number of trays of turkey wraps. Given that a pan of chicken feeds 28 guests and a tray of turkey wraps feeds 42 guests, and we need to feed at least 428 guests, we can write the following inequality:

28x + 42y ≥ 428

Part B: Finding the Minimum Number of Turkey Wraps Required

Given Sabrina prepares 7 pans of chicken, we need to find the minimum number of turkey wraps required. Substituting x = 7 into our inequality gives us:

28(7) + 42y ≥ 428

Solving for y gives:

196 + 42y ≥ 428

42y ≥ 232

y ≥ 5.5238

Since Sabrina cannot prepare a fraction of a tray, she must prepare at least 6 trays of turkey wraps to meet the minimum requirement, ensuring she has enough food to feed at least 428 guests.

During a day on winter the temperature in the morning was -45°f in the afternoon was -44°f and at night time was -25°f . Find the difference in degrees of the night and moring temperatures

Answers

Answer:

Since it was -45°F in the morning and -25°F in the night, you'd find the absolute value of those numbers.

Absolute value(definition)-

The distance from the zero

So the absolute values would be...

-45 to 45

and

-25 to 25

Then you would subtract 25 from 45, which of course, would result with 20.

20 degrees is your answer.

Have a good day~

Joe walks over on a treadmill at constant rate the equation below describes the relationship between t the time he walks in hours and d the distance he walks in miles d=4t

Answers

The graph in option A (refer attachment) represents the relationship between the amount of time Joe walks and the distance he walks

Step-by-step explanation:

Given scenario is "Joe walks over on a treadmill at constant rate"

The equation which describes the relationship between' t' the time he walks in hours and ;d' the distance he walks in miles

                             d = 4 t

Now, we have to find the graph which indicates correctly about the relationship between the amount of time Joe walks and the distance he walks. Refer attachment to find the graph.

According to the given equation,

when t = 1 s so 'd' would would be 4 miles

when t = 2 s so 'd' would would be 8 miles

The above shows the plotting points in graph (t,d) = (1,4) (2,8). Hence, concluded that graph in option A (refer attachment) would be the right answer.

Because, others are not satisfying the equation d = 4 t

graph in option B shows the plotted points (t,d) = (4,1) (8,2)

graph in option C shows the plotted points (t,d) = (4,4) (8,8)

graph in option D shows the plotted points (t,d) = (4,4) (4,8)

Point D (9, -8) is reflected to D' (9, 8)

Answers

Answer:

Is a reflection across the x-axis

Step-by-step explanation:

The complete question is

Point D (9,-8) is  reflected to D' (9,8). Is it on the x axis or y axis?

we know that

The rule of the reflection of a point across the x-axis is

(x,y)-----> (x,-y)

the x-coordinate remains the same, but the y-coordinate is transformed into its opposite

In this problem we have

D (9, -8) ------> D' (9, 8)

The y-coordinate is transformed into its opposite

therefore

Is a reflection across the x-axis

Which of the following is a graph of y = x2?

Answers

The only option that is a graph of the function y = x² is: Second Graph

How to find the graph of the Quadratic Function?

The general formula for a quadratic function is:

y = ax² + bx + c

Where a ≠ 0

We are given the quadratic function as:

y = x²

When x = -2, we have:

y = (-2)² = 4

When x = -1, we have:

y = (-1)² = 1

When x = 0, we have:

y = (0)² = 0

When x = 1, we have:

y = (1)² = 1

When x = 2, we have:

y = (2)² = 4

Looking at the graphs, the only one with these coordinate values is Graph 2

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How would you solve ((-x^2)-(12x^3)-8)^2

Answers

Answer:

[tex]\left(\left(-x^2\right)-\left(12x^3\right)-8\right)^2:\quad 144x^6+24x^5+x^4+192x^3+16x^2+64[/tex]

Step-by-step explanation:

Considering the expression

[tex]\left(\left(-x^2\right)-\left(12x^3\right)-8\right)^2[/tex]

Solving the expression

[tex]\left(\left(-x^2\right)-\left(12x^3\right)-8\right)^2[/tex]

[tex]\mathrm{Remove\:parentheses}:\quad \left(a\right)=a[/tex]

[tex]\left(-x^2-12x^3-8\right)^2[/tex]

As

[tex]\left(-x^2-12x^3-8\right)^2=\left(-x^2-12x^3-8\right)\left(-x^2-12x^3-8\right)[/tex]

So

[tex]\left(-12x^3-x^2-8\right)\left(-12x^3-x^2-8\right)[/tex]

[tex]\mathrm{Expand}\:\left(-x^2-12x^3-8\right)\left(-x^2-12x^3-8\right):\quad 24x^5+144x^6+192x^3+x^4+16x^2+64[/tex]

i.e.

[tex]\left(-x^2\right)\left(-x^2\right)+\left(-x^2\right)\left(-12x^3\right)+\left(-x^2\right)\left(-8\right)+\left(-12x^3\right)\left(-x^2\right)+\left(-12x^3\right)\left(-12x^3\right)+\left(-12x^3\right)\left(-8\right)+\left(-8\right)\left(-x^2\right)+\left(-8\right)\left(-12x^3\right)+\left(-8\right)\left(-8\right)[/tex]

[tex]\mathrm{Apply\:minus-plus\:rules}[/tex]

[tex]\left(-a\right)\left(-b\right)=ab[/tex]

[tex]x^2x^2+12x^3x^2+8x^2+12x^3x^2+12\cdot \:12x^3x^3+12\cdot \:8x^3+8x^2+8\cdot \:12x^3+8\cdot \:8[/tex]

[tex]\mathrm{Group\:like\:terms}[/tex]

[tex]12x^3x^2+12x^3x^2+12\cdot \:12x^3x^3+12\cdot \:8x^3+8\cdot \:12x^3+x^2x^2+8x^2+8x^2+8\cdot \:8[/tex]

[tex]\mathrm{Add\:similar\:elements:}\:8x^2+8x^2=16x^2[/tex]

[tex]12x^3x^2+12x^3x^2+12\cdot \:12x^3x^3+12\cdot \:8x^3+8\cdot \:12x^3+x^2x^2+16x^2+8\cdot \:8[/tex]

[tex]\mathrm{Add\:similar\:elements:}\:12x^3x^2+12x^3x^2=24x^3x^2[/tex]

[tex]24x^3x^2+12\cdot \:12x^3x^3+12\cdot \:8x^3+8\cdot \:12x^3+x^2x^2+16x^2+8\cdot \:8[/tex]

[tex]\mathrm{Add\:similar\:elements:}\:12\cdot \:8x^3+8\cdot \:12x^3=2\cdot \:8\cdot \:12x^3[/tex]

[tex]24x^3x^2+12\cdot \:12x^3x^3+2\cdot \:8\cdot \:12x^3+x^2x^2+16x^2+8\cdot \:8[/tex]

As

[tex]24x^3x^2=24x^5[/tex]

[tex]12\cdot \:12x^3x^3=144x^6[/tex]

[tex]2\cdot \:8\cdot \:12x^3=192x^3[/tex]

[tex]x^2x^2=x^4[/tex]

[tex]8\cdot \:8=64[/tex]

So

[tex]24x^5+144x^6+192x^3+x^4+16x^2+64[/tex]

[tex]\mathrm{Rewrite\:in\:standard\:form}[/tex]

[tex]144x^6+24x^5+x^4+192x^3+16x^2+64[/tex]

Therefore,

[tex]\left(\left(-x^2\right)-\left(12x^3\right)-8\right)^2:\quad 144x^6+24x^5+x^4+192x^3+16x^2+64[/tex]

Keywords: expression

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A cargo container 9‘ x 12‘ x 7.5‘ is to be given a coat of paint on all surfaces inside and out. If 1 L of paint covers 30 ft.², how many 3 L tins of paint are required.

Answers

Answer: 18

Step-by-step explanation: 9 x 12 x 7.5 = 810

since it is inside out 810 x 2 = 1620

1620 divided by 90 = 18

Hope this helps

what does orgin means in math terms

Answers

Answer:

  The point from which measurements are made. The point where all coordinate values are zero.

Step-by-step explanation:

In the Newtonian/Euclidean universe, the laws of geometry and physics are the same everywhere. Hence, in order to tell one place from another, we define a point of origin from which all coordinates are measured. Then, every point in space can be named in terms of its coordinates relative to the origin.

A silversmith combined pure silver that cost $33.48 per ounce with 51 oz of a silver alloy that cost $24.35 per ounce. How many ounces of pure silver were used to make an alloy of silver costing $27.87 per ounce?

Answers

Answer:

$38.31

Step-by-step explanation:

Given:

Pure silver that cost $33.48 per ounce used to form $24.35 alloy/ounce.

Question asked:

How many ounces of pure silver were used to make an alloy of silver costing $27.87 per ounce?

Solution:

At cost $24.35/ounce, pure silver is mixed = $33.48

At cost $1/ounce, pure silver is mixed = [tex]\frac{33.48}{24.35}[/tex]

At cost $27.87/ounce, pure silver is mixed = [tex]\frac{33.48}{24.35}[/tex][tex]\times 27.87 = \frac{933.08}{24.35} = 38.31[/tex]

Thus, $38.31 ounces of pure silver were used to make an alloy of silver costing $27.87 per ounce.

In a bag there are 2 red, 3 yellow, 4 green, and 6 blue marbles. What is the probability of P (blue)?

Answers

Answer:

6/15

Step-by-step explanation:

First we are going to need to add the total number of marbles.

2+3+4+6=15

So the denominator will be 15.

It asks us to find the probability of blue marbles so we put how many blue marbles there is inside of the bag.

There are  six blue marbles.

So the probability is 6/15.

Or you could write it 6:15

Or percentage but that's no fun..

Final answer:

The probability of drawing a blue marble from a bag containing 2 red, 3 yellow, 4 green, and 6 blue marbles is 2/5, or 40%.

Explanation:

Calculating the Probability of Choosing Blue Marbles

The question asks about the probability of choosing a blue marble from a bag containing various colored marbles. With 2 red, 3 yellow, 4 green, and 6 blue marbles, the total number of marbles in the bag is 2 + 3 + 4 + 6 = 15. To find the probability of choosing a blue marble (P(blue)), we need to divide the number of blue marbles by the total number of marbles in the bag: P(blue) = Number of blue marbles / Total number of marbles = 6/15.

After simplifying, we get P(blue) = 2/5. Therefore, the probability of drawing a blue marble from the bag is 2/5, which can also be expressed as 0.4 or 40%.

How do you couculate Pi? So I can continue to find the number by hand. I’m trying to beet my classmates in who can get highest but I don’t know how to find the numbers.

Answers

You can hit the pi button on your calculator or find websites will all the pi numbers.

The formula to change F to C is F equal 9/5 C + 32. If the temperature is 21.5 C what is it in F?

Answers

Answer:

F=70.7

Step-by-step explanation:

This is a simple substitution problem.

The formula to change Fahrenheit to Celsius is [tex]F=\frac{9}{5}\left(C\right)+32[/tex].They give you C, so substitute it into the problem, which would give you [tex]F=\frac{9}{5}\left(21.5\right)+32[/tex].Simplify the right side of the equation by multiplying [tex]\frac{9}{5}[/tex] by 21.5.Now, add 32 to 38.7, which should have been your answer to the previous step.You should now have F= 70.7 as your answer.

The resulting temperature in Fahrenheit is 70.7°F.

To convert a temperature from Celsius (°C) to Fahrenheit (°F), you can use the formula:

F = (9/5)C + 32

Given that the temperature is 21.5°C, we can substitute this value into the formula:

Multiply the Celsius temperature by 9: 9 * 21.5 = 193.5

Divide the result by 5: 193.5 / 5 = 38.7

Add 32 to the quotient: 38.7 + 32 = 70.7

Therefore, the temperature in Fahrenheit is 70.7°F.

Graph ​ g(x)=4cos(2x)−2 ​. Use 3.14 for π .

Answers

Answer:

The graph is shown attached.

Step-by-step explanation:

i) The graph is shown attached

ii) The values shown are for the points with black dots.

If Charles rides 4 miles in 20 minutes on his bike, which ratio shows the number of miles per minute he can ride
A
24:1

B
1:4

C
4:24

D
1:5

Answers

I believe I would be c but I could be wrong

Answer:

D

Step-by-step explanation:

Do you guys know what y=2x is ?

Answers

Answer:

Graph the line using the slope and y-intercept, or two points.

Slope:  

2

y-intercept:  0 x  y 0 0 1 2

Step-by-step explanation:

What two decimals give you a product close to 5.5?

Answers

Product of 4.21 and 1.31 gives 5.5

Product of 3.21 and 1.72 gives 5.5

Solution:

Given that,

We have to find two decimals that gives a product close to 5.5

So, when the two decimals are added, the product must be close to 5.5

Let us consider the following two decimals

4.21 and 1.31

Let us multiply 4.21 and 1.31 and check if their product is close to 5.5

[tex]4.21 \times 1.31 = 5.5151 \approx 5.5[/tex]

Thus, product of 4.21 and 1.31 gives a product close to 5.5

Similarly, consider two decimals 3.21 and 1.72

Let us multiply 3.21 and 1.72 and check if their product is close to 5.5

[tex]3.21 \times 1.72 = 5.5212 \approx 5.5[/tex]

Thus product of 3.21 and 1.72 gives 5.5

Which measure is most appropriate to describe the center of the data in the stem-and-leaf plot below?

pounds of food collected

0 l 5 6
1 l 0 2 3 3 4
2 l 1 9
3 l
4 l 2
5 l 1

Answers

The appropriate measure of central tendency for the data in the stem and leaf plot, which is skewed to the right is the median

What is the median of a dataset?; The median of a dataset is the value located at the center of the dataset when the data are arranged in increasing order of magnitude.

The data in the stem and leaf plot can be presented as follows;

5, 6, 10, 12, 13, 13, 14, 21, 29, 42, 51

The number of data points are 11, therefore, the median is the 6th term, which is the number 13

The mode of the data is 13

The mean of the data is; (5+6+10+12+13+13+14+21+29+42+51)/11 ≈ 19.64

The mean is larger than the median, which indicates that the data values are skewed to the right

The appropriate measure of the center of the data whereby some of the values are much larger than the median and a few values, hence the data is skewed is the median

For the stem-and-leaf plot of pounds of food collected, the most appropriate measure of center is the median, providing a robust representation of the central tendency of the data.

In the given stem-and-leaf plot depicting the pounds of food collected, the most appropriate measure to describe the center of the data is the median.

The median is the middle value in a dataset when it is ordered from least to greatest. In this case, the stem-and-leaf plot already presents the data in ascending order within each stem. To find the median, we look for the middle value. Since the data is arranged systematically, we can identify the median as the value that separates the lower half from the upper half of the dataset.

Looking at the stems and their corresponding leaves, the median is the value in the middle of the dataset, which is the 3 in the second stem. The median is less sensitive to extreme values or outliers than the mean, making it a robust measure of central tendency.

In contrast, the mean (average) might be influenced by extreme values, the interquartile range focuses on the spread of the middle 50% of the data, and the range considers the difference between the maximum and minimum values.

The question probable may be:

Which measure is most appropriate to describe the center of the data in the stem-and-leaf plot below?

A stem and leaf plot showing the pounds of food collected is shown.

Stem    Leaf

0           5    6

1            0    2   3   3   4

2            1    9

3

4            2

5            1

interquartile range

median

mean

range

What is 17 equals 5y - 3

Answers

Answer:

4

Step-by-step explanation:

5y-3=17

5y=17+3

5y=20

y=20/5

y=4

The graph of the quadratic function y = ax^2 + bx + c is given.
Find a + b + c.

Answers

Answer:

[tex]\frac{145}{24}\approx 6[/tex]***

Answers may vary depending on the person reading the graph.

It is hard to tell what they think crosses nicely.

For example, I decided that the graph crossed nicely at the following points:

[tex](0,3)[/tex]

[tex](2,8)[/tex]

[tex](6,5)[/tex]

Step-by-step explanation:

I see that the graph crosses at [tex](0,3)[/tex],[tex](2,8)[/tex], and [tex](6,5)[/tex].

The equation [tex]y=ax^2+bx+c[/tex] tells us the [tex]y[/tex]-intercept is [tex]c[/tex] since when [tex]x=0[/tex] we have [tex]y=a(0)^2+b(0)+c=0+0+c=c[/tex].

The [tex]y[/tex]-intercept for our graph is [tex]3[/tex]. Therefore, [tex]c=3[/tex].

So far we have the equation:

[tex]y=ax^2+bx+3[/tex].

Let's enter the other points creating a system of linear equations to solve:

[tex]8=a(2)^2+b(2)+3[/tex]

[tex]5=a(6)^2+b(6)+3[/tex]

Let's simplify:

[tex]8=4a+2b+3[/tex]

[tex]5=36a+6b+3[/tex]

Let's subtract 3 on both sides:

[tex]5=4a+2b[/tex]

[tex]2=36a+6b[/tex]

I choose to solve the system by elimination.

Let's multiply the top equation by -3:

[tex]-15=-12a-6b[/tex]

[tex]2=36a+6b[/tex]

Now adding the equations results in:

[tex]-13=24a[/tex]

Divide both sides by 24:

[tex]\frac{-13}{24}=a[/tex]

Now using one of the equations we can find [tex]b[/tex]:

[tex]5=4a+2b[/tex] with [tex]a=\frac{-13}{24}[/tex]

[tex]5=4\frac{-13}{24}+2b[/tex]

[tex]5=\frac{-13}{6}+2b[/tex]

Add 13/6 on both sides:

[tex]5+\frac{13}{6}=2b[/tex]

[tex]\frac{30+13}{6}=2b[/tex]

[tex]\frac{43}{6}=2b[/tex]

Divide both sides by 2:

[tex]\frac{43}{2(6)}=b[/tex]

[tex]\frac{43}{12}=b[/tex]

So we have the equation:

[tex]y=\frac{-13}{24}x^2+\frac{43}{12}+3[/tex]

Let's evaluate [tex]a+b+c[/tex] now:

[tex]\frac{-13}{24}+\frac{43}{12}+3[/tex]

[tex]\frac{-13+86+72}{24}[/tex]

[tex]\frac{73+72}{24}[/tex]

[tex]\frac{145}{24}[/tex]

Maria has an 8-sided die that is numbered from 1 to 8. She rolls the die 96 times. About how many times can she expect to roll an 8?

Answers

Answer:

12

Step-by-step explanation:

Final answer:

Maria can expect to roll an 8 around 12 times after rolling her eight-sided die 96 times, as calculated by multiplying the probability of rolling an 8 (⅓) by the number of rolls (96).

Explanation:

The student is asking about the expected number of times a specific outcome will occur when rolling an eight-sided die multiple times. In Maria's case, she is rolling the die 96 times and wants to know how many times she can expect to roll an 8.

To calculate this, we'll use the principle of theoretical probability, which states that the expected frequency for any event is the product of the total number of trials and the probability of the event occurring in a single trial. Since the die is fair and has eight sides, the probability of rolling an 8 on any given throw is ⅓ (or 1 out of 8).

Calculate the probability of rolling an 8: P(8) = ⅓.Multiply this probability by the total number of rolls: Expected frequency = P(8) × 96 throws = ⅓ × 96.Perform the calculation: Expected frequency = 12.

Therefore, Maria can expect to roll an 8 about 12 times in 96 rolls of the die.

The price of a television was reduced from $250 to $200. By what percentage was the price of the television reduced? (F 20%) (G 25%) (H 80%) (J 50%)

Answers

the answer is (F 20%)
250 • 0.20 = 50
-
250 - 50 = 200
-
Therefore the answer is F. 20%

Emily has 6 cans of pain. She uses 3 5/8 cans. How many cans she have left

Answers

She has 2 3/8 cans of paint left .

Answer: the answer is 2.375 and as a mixed fraction is 2 3/8

Step-by-step explanation: first you subtract 3 5/8 from 6 so 6-3= 3 and in order to get the 3/8 you have to make one more number divisible by 1 which in this case was

Over 8 so then you do 8/8 which gives you a whole then you subtract the 5-8/8 which is 3/8 plus the 2 you had left

HELP ME ASAP PWEASE
my friend can't figure it out nor can I

Answers

Answer:

The width of the roof is 12

Step-by-step explanation:

Divide the figure as shown in the attachment.

Recall that slope is rise over run.

Then the slope of the roof in terms of x is

[tex] \frac{8}{x} [/tex]

But we were given in the question that the slope is 2/3.

This implies that:

[tex] \frac{8}{x} = \frac{2}{3} [/tex]

Cross multiply to get:

[tex]2x = 3 \times 8[/tex]

[tex]2x = 24[/tex]

[tex]x = 12[/tex]

What is 5/5 multiplied by nine

Answers

Answer:

9

Step-by-step explanation:

5/5 = 1

1 x 9 = 9

Answer:

9

Step-by-step explanation:

What is the converse of the following statement?
If you study in front of the television, then you do not
score well on exams.
F. If you do not study in front of the television, then you
score well on exams.
G. If you score well on exams, then you do not study in
front of the television.
H. If you do not score well on exams, then you study in
front of the television.
J. If you study in front of the television, then you score
well on exams.

Answers

Final answer:

The converse of the given statement switches the hypothesis and conclusion, leading to 'If you do not score well on exams, then you study in front of the television', which corresponds to option H.

Explanation:

The question asks for the converse of a given statement, which is a key concept in logical reasoning and mathematics. The original statement is If you study in front of the television, then you do not score well on exams. To find the converse, you switch the hypothesis and conclusion of the statement. Therefore, the converse is: If you do not score well on exams, then you study in front of the television. This means the correct answer is option H.

If you don't score well on exams, then you study in front of the television.

To find the converse of a conditional statement, we simply switch the hypothesis and the conclusion.

The original statement is: "If you study in front of the television, then you do not score well on exams."

The converse of this statement would be: "If you do not score well on exams, then you study in front of the television."

So, the correct answer is: "If you do not score well on exams, then you study in front of the television."

How do you solve 44 ÷ 0.5

Answers

Answer:

88

Step-by-step explanation:

44 / 0.5 = 44*2 = 88

Answer:

Step-by-step explanation:

0.5 is the same as 5/10 which reduces to 1/2. Half of 44 is 22! The answer is 22!

How to solve in elimination
x=2y+1
-8x+2y=6

Answers

Answer:

look at the picture shown

Other Questions
Diseases I and II are prevalent among people in a certain population. It is assumed that 10% of the population will contract disease I sometimes during their lifetime, 15% will contract disease II eventually, and 3% will contract both diseases. Find the probability that a randomly chosen person from this population will contract at least one disease in his/her lifetime. Also, Find the conditional probability that a randomly selected person from this population will contract both diseases, given that he or she has contracted at least one disease in his/her lifetime. Steps to solve 4.3x+19.35=8.11+4.0x A class of third graders is told that the assistant principal will be visiting their class to confirm their teacher's reports of bad behavior. When the principal visits, the students behave perfectly. This is an example of ________.a. The Authority Effectb. The Regressive Effectc. The Hawthorne Effectd. The Cognizant Effect A financing project is acceptable if its IRR is:A. exactly equal to its net present value (NPV).B. exactly equal to zero.C. greater than the discount rate.D. less than the discount rate.E. negative. 5. Find the midpoint of AB given A(-7, 4) and B(3,-4). Although estimates vary, it is suggested that 80% or more of the job openings that exist are in the hidden job market. What is the difference between the published job market and the hidden job market? A family on vacation drove the first 200 miles in 4 hours and the second 200 miles in 5 hours. Which expression below gives their average speed for the entire trip?A.200+2004+5B.(2004+2005)2C.2004+2005D.4004+4005 Finding it so directly on the threshold of our narrative, which is now about to issue from that inauspicious portal, we could hardly do otherwise than pluck one of its flowers and present it to the reader. What is the meaning of the word "inauspicious"? A.unremarkable, B. forgettable unintelligent, C.not educated unimpressive, D.poorly built unfavorable, E.boding ill Draw a mechanism for chlorination of 1,1,1-trichloroethane to produce 1,1,1,2-tetrachloroethane. Do not use abbreviations in your answer. At the North campus of a performing arts school 30% of students are music majors at the South campus 80% of the students are music majors the campuses are merged into one East campus if 45% of the 1000 students at the East campus our music majors, how many students did the north and south campuses have before the merger?At the North campus of a performing arts school 30% of students are music majors at the South campus 80% of the students are music majors the campuses are merged into one East campus if 45% of the 1000 students at the East campus are music majors, how many students did the north and south campuses have before the merger Heres an easy question... What's 2+2+6+7+9???Whoever answers it first gets 76pts!!!! :) Solve sin theta + 1 = cos2 theta on the interval An economist at the University of Alaska at Anchorage has been asked to explain why the price of Alaskan crude oil has fallen recently. In order to develop a model, the professor should take which steps?a. Identify the problem, develop a model based on simplifying assumptions and test the model to formulate a conclusion.b. Gather data on crude oil prices and seemingly unrelated variables to look for associations, then formulate a hypothesis based on those unexpected associations.c. Ask people in Alaska why they are not purchasing oil.d. None of these. The oil industry is controlled by a cartel; therefore price changes in the industry cannot be explained using economic theories. please help me with this giving lots of points Drag the central argument Paine presents andits two claims to complete the chart.lished inneexpressArgumentClaimsThomas The sum of two numbers is 60. If twice the smaller number is subtracted from the large number, the result is 9. Find the two numbers Computers A and B implement the same ISA. Computer A has a clock cycle time of 200 ps and an effective CPI of 1.5 for some program and computer B has a clock cycle time of 250 ps and an effective CPI of 1.7 for the same program. Which computer is faster and by how much? What happens during a phase change from a solid to a liquid?1.The particles the solid vibrate faster and faster. After a while, they stop all motion.2.The particles of the solid vibrate slower and slower. After a while, they stop moving.3.The particles of the solid vibrate faster and faster. After a while, they can start to move around.4.The particles of the solid vibrate slower and slower. After a while, they can start to move around. On January 2, 20X2, Piranha Company acquired 70 percent of Salmon Corporation's common stock for $420,000 cash. At the acquisition date, the book values and fair values of Salmon' assets and liabilities were equal, and the fair value of the noncontrolling interest was equal to 30 percent of the total book value of Salmon. The stockholders' equity accounts of the two companies at the acquisition date are as follows: Piranh Salmon Common Stock ($10 par value) $600,000 $350,000 Additional Paid-In Capital 450,000 50,000 Retained Earnings 250,000 200,000 Total Stockholders Equity $1,300,000 $600,000 Noncontrolling interest was assigned income of $15,000 in Piranh consolidated income statement for 20X2. Based on the preceding information, what amount will be assigned to noncontrolling interest on January 2, 20X2, in the consolidated balance sheet? What was a part of the Aztec civilization?A. Using trees for shelter and clothing.B. Building towns with mud bricks houses.C. Trading for goods brought from far away.D. Living in shelters that could be moved easily.