Diego scores 9 point less than Andre in the basketball game. Noah scores twice as many points as Diego. if Noah

Answer:

The speed of the car is 42 mph.

Step-by-step explanation:

Speed = distance / time. 84 / 2 = 42

Answer:

The answer is b or d, but most likely d.

Answer:

B. 13,809 = 3,000+10,000+9+800

Step-by-step explanation:

13,809 = 10,000 + 3000 + 800 + 9

Answer:

The price for one hat was $5 and the price for one scarf was $4

Step-by-step explanation:

Let

x ----> the price for one scarf in dollars

y ----> the price for one hat in dollars

we know that

Dakota bought 2 scarves and 1 hat for $13

so

[tex]2x+y=13[/tex] ----> equation A

Kristina bought 1 scarf and two hats for $14

so

[tex]x+2y=14[/tex] ----> equation B

Solve the system by elimination

Multiply by -2 both sides equation B

[tex]-2(x+2y)=-2(14)[/tex]

[tex]-2x-4y=-28[/tex] ----> equation C

Adds equation A and equation C

[tex]2x+y=13\\-2x-4y=-28\\---------\\y-4y=13-28\\-3y=-15\\y=5[/tex]

Find the value of x

substitute the value of y in any equation

equation B

[tex]x+2(5)=14\\x=14-10\\x=4[/tex]

therefore

The price for one hat was $5 and the price for one scarf was $4

Answer:

Traveling east 5miles/hour can be represented as; traveling 45 degrees from south at 5 miles per hour .

Traveling west 5miles/hour can be represented as;

Traveling 45 degrees from south towards the north

The second part is on the attached file

Step-by-step explanation:

You will declare variables before you start solving the questions

Answer:

Step-by Traveling east 5miles/hour can be represented as; traveling 45 degrees from south at 5 miles per hour .

Traveling west 5miles/hour can be represented as;

Traveling 45 degrees from south towards the north

The second part is on the attached filey-step explanation:

Answer:

The equation is [tex]y=-3x-5[/tex]

Step-by-step explanation:

We are given;

Assuming the question requires we determine the equation of a line perpendicular to the given line and passing through the point given.

Step 1: Determine the slope of the given line

To determine the slope from an equation requires we write the equation in the form, y = mx + c, where m will be the gradient.

In this case;

[tex]3y = x - 4\\ y = \frac{1}{3}x-\frac{4}{3}[/tex]

Therefore, the slope is [tex]\frac{1}{3}[/tex]

Step 3: Determine the slope of the line in question

We know that the product of the slope of two perpendicular line is -1

That is;

m₁ × m₂=-1

Thus;

1/3 × m₂ -1

Hence; m₂ = -3

Step 3: Determine the equation of the line in question;

We have its slope, m₂ = -3

A point (-2, 1)

Taking another point (x,y)

Thus;

[tex]\frac{y-1}{x--2}=-3\\y-1 =-3(x+2)\\y-1 = -3x-6\\y=-3x-5[/tex]

Therefore, the required equation is [tex]y=-3x-5[/tex]

The equation of the line perpendicular to the line and passing through the point is y = -3x - 5

Given the equation 3y = x - 4

Find the slope of the line

y = 1/3 x - 4/3

The slope of the line is 1/3 and the slope of the line perpendicular is -3

Substitute the point (-2, 1) and the slope into equation

y - y1 = m(x-x1)

y - 1 = -3(x+2)
y - 1 = -3x - 6
y = -3x - 5

Hence the equation of the line perpendicular to the line and passing through the point is y = -3x - 5

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Answer:

The correct answer is A. 1.5w² + 5w + 4

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Height of the portrait = 1.5 times its width in inches

Frame = 2 inches all along its perimeter

2.  What is an expression for the area of  the framed portrait in terms of w?

Let's recall that the area of a rectangle is length or height * width.

A = height * width

Now, we can replace in terms of w:

A = 1.5w * w

But we need to add the 2 inches of the frame, this way:

A = (1.5w + 2) * (w + 2)

A = 1.5w² + 2w + 3w + 4

A = 1.5w² + 5w + 4

The correct answer is A. 1.5w² + 5w + 4

Final answer:

The expression for the area of the framed portrait in terms of w is 1.5w^2 + 8w + 8.

Explanation:

To find the expression for the area of the framed portrait, we need to consider the dimensions of both the portrait and the frame. Let's assume the width of the portrait is w inches. According to the given information, the height of the portrait without the frame is 1.5 times the width, so the height is 1.5w inches.

To calculate the dimensions of the framed portrait, we need to add 2 inches to the width and height for the frame. The width of the framed portrait is w + 2 inches, and the height is 1.5w + 2 inches.

The area of the framed portrait is equal to the product of its width and height. Therefore, the expression for the area, in terms of w, is (w + 2) * (1.5w + 2). When we simplify this expression, we get 1.5w2 + 8w + 8.

Answer:

2170 kg

Step-by-step explanation:

since there are 7 days in a week first you calculate the days

930 plus 930 equals 1860 which can feed a pair of elephants for 6 days

then since in one day it takes 310 kg then add 1860 plus 310

and then you get 2170

so, you need 2170 kg of food to feed a pair of elephants in a week

Answer:

84 Inches

Step-by-step explanation:

so 12 inches are in 1 foot. 12 x 7+84

Answer: 84 in

Step-by-step explanation: since there are 12 inches in a foot multiple 12 by the number of feet.

Answer: it’s D

Step-by-step explanation:

I completed it

The relation set - {(9, 1), (6,2), (3, 3), (6,4), (9,5)}

does not represent the function.

An expression in mathematics defines a relationship between one variable (the independent variable, x)  and another variable (the dependent variable, y). For example -

f(x) = 4x + 6

Given are the set of ordered pairs as given in the question.

It can be clearly seen that the relation set -

{(9, 1), (6,2), (3, 3), (6,4), (9,5)}

does not represent the function as for x = 6, there are two possible values of [y] given, which is not possible.

Therefore, the relation set - {(9, 1), (6,2), (3, 3), (6,4), (9,5)}

does not represent the function.

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Answer:

3

Step-by-step explanation:

Answer: 3

Step-by-step explanation:

15 divided by 5 is 3. Which means that 15/5 is 3.

The value of sin(a)cos(a) = 0.32

Step-by-step explanation:

Step 1: Given details are sin(a) - cos(a) = 0.6

Step 2: Square the given equation on both sides.

⇒ (sin(a) - cos(a))² = (0.6)²

⇒ sin²a + cos²a - 2 sin(a)cos(a) = 0.36

⇒ 1 - 2 sin(a)cos(a) = 0.36 since sin²a + cos²a=1

⇒ - 2 sin(a)cos(a) = - 0.64

⇒ 2 sin(a)cos(a) = 0.64

⇒ sin(a)cos(a) = 0.32

Answer:

-2x - 10 = -2(x + 5)

Step-by-step explanation:

-2x - 10 is already simplified, but in order to understand the solution, we need to simplify -2(x + 5) in order to show that it is an equivalent expression:

-2(x + 5) = -2x - 2(5)

Further simplify:

-2x - 10

This proves that -2x - 10 = -2(x + 5) is an equivalent expression.

After adding his phone/internet/cable, electric bill, and health insurance premium costs, Chester spends $696 on bills each month. With monthly earnings of $2800, he therefore should have around $2104 left over after paying these bills.

To figure out how much money Chester will have left after paying his bills, you first have to add up all his bills. So, he pays on average $120 for his phone/internet/cable service, $277 for his electric bill, and $299 for his health insurance premium.

To add these together: 120 + 277 + 299 = $696. This is the total amount Chester pays for his bills each month.

Now, subtract this total from Chester's monthly earnings. So, Chester earns $2800 per month, and his bills total $696. So, 2800 - 696 = $2104. Therefore, Chester will have around $2104 left each month after paying these bills.

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Answer:

plug -3 as x to find f(-3)

Step-by-step explanation:

Answer:

Step-by-step explanation:

The imaginary number has form:

a + bi

a - real part

bi - imaginary part

i - imaginary unit (i = √-1)

We have the number 9.

9 is a real part

An imaginary part is equal 0.

Therefore the imaginary part of number 9 is 0i.

Answer:

Mean for Bakery A because the data is symmetric; median for Bakery B because the data is not symmetric, as can be observed from the stem and leaf frequency plot.

Step-by-step explanation:

CALCULATIONS FOR BAKERY A

Considering the data for Bakery A

45 52 51 48 57 30 55 46

Calculating Mean for Bakery A

[tex]Mean=\frac{Sum\:of\:terms}{Number\:of\:terms}[/tex]

Sum of terms = 45 + 52 + 51 + 48 + 57 + 30 + 55 + 46 = 384

Number of terms = 8

As

[tex]Mean=\frac{Sum\:of\:terms}{Number\:of\:terms}[/tex]

[tex]Mean=\frac{302}{8}[/tex]

[tex]Mean=48[/tex]

Calculating Median for Bakery A

As the median is the middle number in a sorted list of numbers. So, to find the median, we need to place the numbers in value order and find the middle number.

As the data for Bakery A is

45 52 51 48 57 30 55 46

Ordering the data from least to greatest, we get:

30   45   46   48   51  52   55   57  

As you can see, we do not have just one middle number but we have a pair of middle numbers, so the median is the average of these two numbers:

[tex]Median=\frac{\left(48+51\right)}{2}=\frac{99}{2}=49.5[/tex]

Getting a Plot and Leaf Plot for Bakery A

Data for Bakery A in ascending order

30   45   46   48   51  52   55   57  

STEM                    LEAF

3                               0

4                               5   6   8

5                               1    2   5   7

CALCULATIONS FOR BAKERY B

Considering the data for Bakery B

48 42 11 45 57 10 43 46

Calculating Median for Bakery B

[tex]Mean=\frac{Sum\:of\:terms}{Number\:of\:terms}[/tex]

Sum of terms = 48 + 42 + 11 + 45 + 57 + 10 + 43 + 46 = 302

Number of terms = 8

[tex]Mean=\frac{302}{8}=37.75[/tex]

Calculating Median for Bakery B

[tex]Median=\frac{\left(43+45\right)}{2}=44[/tex]

Getting a Plot and Leaf Plot for Bakery B

Data for Bakery B in ascending order

10   11   42   43   45   46   48   57  

STEM                    LEAF

1                               0   1

2                              

3                              

4                              2   3   5   6   8

5                              7

So, from the above observation, we can conclude that Mean for Bakery A because the data is symmetric; median for Bakery B because the data is not symmetric, as can be observed from the stem and leaf frequency plot.

Keywords: symmetric distribution, mean, media

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Answer:

Mean for Bakery A because the data is symmetric; median for Bakery B because the data is not symmetric, as can be observed from the stem and leaf frequency plot.

The angle measure of m∠ACB (x°) is 39°.

Step-by-step explanation:

Let us name the joining points as ABC and ABC forms triangle with extended lines. (refer the image)

We have to find the value of m∠ACB = x°.

the given data,

m∠A=68°.

m∠B =107°.

To find m∠CAB,

Let us consider that AB is a line traversed by a line C intersecting at A. (refer diagram)

Using the theorem of corresponding angles theorem, when a line intersects another line, then the angles opposite each other is equal to each other.

m∠A=m∠CAB.

m∠CAB  =68°.

To find m∠ABC,

Let us consider AB is a line.(refer diagram)

Using the straight line proof, the total of angles in a straight line is 180°.

Thus m∠ABC+m∠B=180°.

m∠ABC+107°=180°.

m∠ABC=180°-107°.

m∠ABC=73°.

Finally we have to find the value of x° that is m∠ACB.

Using the interior angles proof,  the sum of interior angles of triangle is 180°.

⇒m∠ABC+m∠CAB+m∠ACB=180°.

73°+68°+m∠ACB=180°.

141°+m∠ACB=180°..

m∠ACB=180°-141°.

m∠ACB=39°.

Thus the angle measure of m∠ACB (x°) is 39°.

Answer: 0.25

Step-by-step explanation:

Answer:

Step-by-step explanation:

That would be:

24 miles       3

------------- = ------ with no units of measurement

32 miles        4

Answer:

x = (2/5); y = (-2/5)

Step-by-step explanation:

x + y = 0

13x + 8y = 2

Multiply so the "x" variables are opposite with the same absolute value.

(-13) x + y = 0 (-13) ⇒ -13x - 13y = 0

(1) 13x + 8y = 2 (1)  ⇒  13x + 8y = 2

Add the two equations.

(13x - 13x) + (8y - 13y) = (2 - 0)

-5y = 2

Divide both sides by -5

y = [tex]-\frac{2}{5}[/tex]

Plug the value of "y" into either equations.

x + [tex](-\frac{2}{5})[/tex] = 0

Add [tex]\frac{2}{5}[/tex] to both sides.

x = [tex]\frac{2}{5}[/tex]

The solution is 2 and -7.

To find two numbers that multiply to -14 and add to -5, we can set up a system of equations based on the properties of multiplication and addition of numbers with different signs.

Let x and y be the two numbers we are looking for, with the following conditions:

x * y = -14 (Multiplication condition)

x + y = -5 (Addition condition)

Using the addition rules, we know that if we have two numbers with opposite signs, the sign of the larger (absolute value) number will dictate the sign of the result. Similarly, the multiplication rules tell us that two numbers with different signs will give a product with a negative sign.

Applying these principles, we can guess that one number is positive and the other negative since their product is -14. We also know that the number with the greater absolute value must be negative since their sum is -5. We can begin by listing pairs of factors of 14 (since the product is -14) keeping the sign in mind:

1 and -14

-1 and 14

2 and -7

-2 and 7

From this list, the pair that adds up to -5 is 2 and -7. Hence, the two numbers are 2 and -7.

Final answer:

To find how much money Ethan gave to Dakota, we need to set up and solve an equation based on the given conditions, include the initial difference of $8, the 1/4 transfer of funds, and the resulting 5:2 ratio of their money.

Explanation:

Ethan had $8 more than Dakota. When he gave 1/4 of his money to Dakota, the ratio of Ethan's money to Dakota's became 5:2. To solve this, let's assume Dakota originally had D dollars and Ethan had D + 8 dollars. After giving away 1/4 of his money to Dakota, Ethan would have 3/4 of D + 8, and Dakota would have D plus 1/4 of D + 8.

The new ratio of Ethan's money to Dakota's money is 5/2, leading us to the equation 3/4(D + 8) / (D + 1/4(D + 8)) = 5/2. Solving this equation will not only give us the initial amounts of money each person had but also allow us to calculate the exact amount Ethan gave to Dakota, which is the 1/4 of Ethan's original money.

Answer:

[tex]x=29[/tex]

Step-by-step explanation:

Given equation :

[tex]\frac{(7+2x)}{5} =13[/tex]

Making the terms of 'x' to one side and constants to the other.

                   [tex](7+2x)=13*5[/tex]

                       [tex]7+2x=65[/tex]

                            [tex]2x=65-7[/tex]

                              [tex]2x=58[/tex]

                                [tex]x=\frac{58}{2}[/tex]

                                  [tex]x=29[/tex]

So, the value of 'x' is 29.

Answer:

x = 29

Explanation:

7 + 2x / 5 = 13

Multiply both sides by 5

7 + 2x / 5 = 13 · (5) = (13) · (5)

7 + 2x = 65

Simplify both sides of the equation

2x + 7 = 65

Subtract 7 from both sides

2x + 7 − 7 = 65 − 7

2x = 58

Divide both sides by 2

2x / 2 = 58 / 2

x = 29

Answer:

i think the answer is c but im not sure

Step-by-step explanation:

Answer:

x=15

Step-by-step explanation:

x+3=18

x+3-3=18-3

x+0=15

x=15

Answer:

T. T = 2q

Step-by-step explanation:

20t : q

40t : 2q

You just times the values

[tex]13\frac{1}{6}-3\frac{4}{5}=(13*6+1)/6-(3*5+4)/5=79/6-19/5=(395-114)/30=\\ \\=281/30=9\frac{11}{30}[/tex]

Hey there! Since my last answer got reported and deleted because I messed it up, here is a second answer for you!

Answer:

Exact form : 281/30

Decimal form : 9.36 (please a line over the six to represent that the six is repeating itself. It will look like this...9.3666666666...)

Mixed Number form : 9 11/30

Step-by-step explanation: Convert the mixed number to improper fractions, then find the LCD (Least Common Denomintor) and then combine.

Hope this helps you out.

Answer:

length of the prism = 244 - (width x height) / width + height)

Step-by-step explanation:

Let length be a and width be b and height be c

2 (a * b) + 2 (b* c) + 2 (a * c) = 488

2ab+ 2bc + 2ac = 488

ab + bc + ac = 244

ab + ac = 244 - ac

a (b + c) = 244-ac

a = 244-bc / b + c

Therefore the length of the prism = 244 - (width x height) / width + height)

Answer:

teh answer is 14

Step-by-step explanation:

use teh equation for surface are

A=2(lw+hl+wh)

plug in the values

488=2(6*8+6*x+x*8)

to get x=14

which is the length

THIS IS CORRECT CAUSE I HAD TO DO IT FOR CLASS AND I GOT IT RIGHT BTW. :)

Final answer:

The expression 3 (4x-2) is not equivalent to 12x-2, as it simplifies to 12x-6, not 12x-2.

Explanation:

The expression 3 (4x-2) is not equivalent to 12x-2 because when we distribute the 3 across the terms inside the parenthesis of the first expression, we get 12x-6, not 12x-2.

To show this step-by-step:

Multiply 3 by 4x to get 12x.

Multiply 3 by -2 to get -6.

Combine these to get 12x-6.

As a result, 3 (4x-2) simplifies to 12x-6, and this is not equal to 12x-2 unless we are considering a special case where x equals to a value that makes -6 equal to -2, which generally isn't the case.

Answer:

A and D and E is the answer.

Step-by-step explanation: