Joe gave 1⁄4 of his total candies to his classmates. Then he gave 4/6 of what he had left to his brother when he went home. He then realized that he didn’t give any to his sister, so he gave 25% of the remaining candies to her. After all this, he realized he only had 21 candies left. How many candies did he have in the beginning

Answers

Answer 1

Answer:

112 candies

Step-by-step explanation:

Start from the end.

Joe gave 25% of the remaining candies to his sister and has 21 candies left. Then

[tex]21 \ candies - 75\%\\ \\x \ candies - 25\%[/tex]

Write a proportion:

[tex]\dfrac{21}{x}=\dfrac{75}{25}\\ \\75x=21\cdot 25\\ \\x=\dfrac{21}{3}=7[/tex]

Joe gave 7 candies to his sister, so before this he had 21 + 7 = 28 candies.

He gave 4/6 of what he had left to his brother when he went home, so 2/6 of all his candies left ot him. Hence,

[tex]28\ candies - \dfrac{2}{6}\\ \\x\ candies - \dfrac{4}{6}[/tex]

Write a proportion:

[tex]\dfrac{28}{x}=\dfrac{\frac{2}{6}}{\frac{4}{6}}\\ \\\dfrac{28}{x}=\dfrac{1}{2}\\ \\x=28\cdot 2=56[/tex]

Joe gave 56 candies to his brother, so Joe had 28 + 56 = 84 candies when he went home.

Joe gave 1/4 of his total candies to his classmates, so 3/4 of his candies left to him. So,

[tex]x\ candies - \dfrac{1}{4}\\ \\84\ candies - \dfrac{3}{4}[/tex]

Write a proportion:

[tex]\dfrac{x}{84}=\dfrac{\frac{1}{4}}{\frac{3}{4}}\\ \\\dfrac{x}{84}=\dfrac{1}{3}\\ \\3x=84\\ \\x=28[/tex]

Therefore, initially, Joe had 28 + 84 = 112 candies.


Related Questions

On the distant plant, Mathology, a sports area covers 7400 yodels2. How many square deckles would this be if 1 deckle = 75.9 yodels?

Answers

Answer:

It would be 97.50 square deckles.

Step-by-step explanation:

Given:

On the distant plant, Mathology, a sports area covers 7400 yodels².

1 deckle = 75.9 yodels.

Now, to get the square deckles.

As given, 1 deckle = 75.9 yodels.

So, to get the square deckles by using conversion factor:

75.9 yodels = 1 deckle.

7400 yodels² = [tex]7400\div 75.9[/tex]

                       = [tex]97.50\ deckels ^2.[/tex]

Therefore, it would be 97.50 square deckles.

The area is approximately 1.286 deckles².

To convert the area from square yodels to square deckles, we need to use the given conversion factor: 1 deckle = 75.9 yodels.

First, we'll find out how many yodels one square deckle is by squaring the conversion factor.

1. Calculate the area of one square deckle in yodels: (75.9 yodels)² = 5752.81 yodels².

2. Convert the given area of the sports area from yodels² to deckles²: 7400 yodels² ÷ 5752.81 yodels²/deckle² ≈ 1.286 deckles².

Therefore, the sports area covering 7400 yodels² is approximately 1.286 square deckles.

I really don't get it can you give me the answer then explain why it is that one please ​

Answers

Answer:

[tex]\frac{100}{9}[/tex] is the answer.

Step-by-step explanation:

Well the first thing we would do is simplify all the exponents first inside the parenthesis. So 2^-3 is equal to 1/8. To solve negative exponents you would just divide the number instead of multiply, so 2 divided by 2 divided by 2 is equal to ⅛ or .125

Next would be to do the 2^-9. This would equal 1/512

Now would be to simplify 5^0. Anything to the power of 0 is always one. So now we simplify all the products meaning 7*5*2 and 7*3.  

Now we would simplify both fractions.

The picture are pretty much self explanatory. If you have any questions feel free to ask in the comments - Mark

Also when you have the chance please mark me brainliest.

Answer:

e (i said this so the other dude could be mark brainlist)

Step-by-step explanation:

Pls help me with this!

Answers

Step-by-step explanation:

5-in 5-in five interest answer

You earned a 75% on a test. You answered 24 questions correctly.How many questions were on the test?

Answers

Answer: 32questions

Step-by-step explanation:let the total number of test = x

Therefore: 24/x * 100 = 75

x = 24*100 / 75

= 32questions

List the next four multiples of the fraction 3/5​

Answers

Answer:

6/10,9/15,12/20,15/25

Step-by-step explanation:

YOU PROBABLY CAN'T ANSWER THIS :/
Using the exponential function 2x + 3, what is the average rate of change between the values 1 ≤ x ≤ 5?

explain your answer step by step

Answers

Rate of change of the function: 60

Step-by-step explanation:

The exponential function in this problem is

[tex]f(x)=2^{x+3}[/tex]

The rate of change of a function between a certain interval [tex]x_1 \leq x \leq x_2[/tex] is given by

[tex]r=\frac{f(x_2)-f(x_1)}{x_2-x_1}[/tex]

where

[tex]f(x_1)[/tex] is the value of the function calculated in [tex]x_1[/tex]

[tex]f(x_2)[/tex] is the value of the function calculated in [tex]x_2[/tex]

In this problem, the interval is

[tex]1\leq x \leq 5[/tex]

So we have:

[tex]f(x_1)=f(1)=2^{1+3}=2^4=16[/tex]

and

[tex]f(x_2)=f(5)=2^{5+3}=256[/tex]

Therefore, the rate of change is:

[tex]r=\frac{256-16}{5-1}=60[/tex]

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If 5 worksites take 31.5 hours to prepare, how long will it take to prepare 13 worksites

(Answer to be in hours pls)​

Answers

Answer:

81.9 hours.

Step-by-step explanation:

5 work sites take   31.5 hours to prepare, so

1   work sites take   31.5 / 5 hours to prepare, and

13  work sites take .  (31.5  * 13) / 5  hours to prepare

=  409.5 / 5

=  81.9 hours.

31.5%5=6.3
6.3*13= 81.0

Can anyone help with my math problems because I need help and you need to be quick. I will mark brainliest.

Answers

What are the math problems?

If m (x) = StartFraction x + 5 Over x minus 1 EndFraction and n(x) = x – 3, which function has the same domain as (m circle n) (x)?

Answers

Question:

If m (x) = StartFraction x + 5 Over x minus 1 EndFraction and n(x) = x – 3, which function has the same domain as (m circle n) (x)?

h (x) = StartFraction x + 5 Over 11 EndFraction

h (x) = StartFraction 11 Over x minus 1 EndFraction

h (x) = StartFraction 11 Over x minus 4 EndFraction

h (x) = StartFraction 11 Over x minus 3 EndFraction

Answer:

Option C: [tex]h(x)=\frac{11}{x-4}[/tex] has the same domain as [tex]$(m \circ n)(x)$[/tex]

Explanation:

It is given that [tex]m(x)=\frac{x+5}{x-1}[/tex] and [tex]n(x)=x-3[/tex]

Let us find the domain of [tex]$(m \circ n)(x)$[/tex]

[tex]$\begin{aligned}(m \circ n)(x) &=m(n(x))\\&=m(x-3) \\ &=\frac{(x-3)+5}{(x-3)-1} \\ &=\frac{x+2}{x-4} \end{aligned}$[/tex]

Now, let us equate the denominator equal to zero to determine the domain.

[tex]$x-4=0$[/tex]

     [tex]x=4[/tex]

Thus, the function becomes undefined at the point [tex]x=4[/tex]

Hence, the domain of [tex]$(m \circ n)(x)$[/tex] is [tex]$(-\infty, 4) \cup(4, \infty)$[/tex]

Now, we shall find the function which has the same domain as [tex]$(m \circ n)(x)$[/tex]

Option A: [tex]h(x)=\frac{x+5}{11}[/tex]

The function h(x) has the domain of set of all real numbers [tex]$-\infty<x<\infty$[/tex]

Thus, the interval [tex](-\infty,\infty)[/tex] is not the same domain as [tex]$(-\infty, 4) \cup(4, \infty)$[/tex]

Hence, Option A is not the correct answer.

Option B: [tex]h(x)=\frac{11}{x-1}[/tex]

Equating the denominator equal to zero, the function becomes undefined at the point [tex]x=1[/tex]

Thus, the function h(x) has the domain of [tex]$(-\infty,-1) \cup(-1, \infty)$[/tex] is not the same domain as [tex]$(-\infty, 4) \cup(4, \infty)$[/tex]

Hence, Option B is not the correct answer.

Option C: [tex]h(x)=\frac{11}{x-4}[/tex]

Equating the denominator equal to zero, the function becomes undefined at the point [tex]x=4[/tex]

Thus, the function h(x) has the domain of [tex]$(-\infty, 4) \cup(4, \infty)$[/tex] is the same domain as [tex]$(-\infty, 4) \cup(4, \infty)$[/tex]

Hence, Option C is the correct answer.

Option D: [tex]h(x)=\frac{11}{x-3}[/tex]

Equating the denominator equal to zero, the function becomes undefined at the point [tex]x=3[/tex]

Thus, the function h(x) has the domain of [tex]$(-\infty,3) \cup(3, \infty)$[/tex] is not the same domain as [tex]$(-\infty, 4) \cup(4, \infty)$[/tex]

Hence, Option D is not the correct answer.

Answer:

It’s C

Step-by-step explanation:

Molly is saving money to buy a new bike that costs $189. He has save $99 so far. He plans on saving $10 each week. Write and solve an equations to determine after how many weeks Molly will have enough money to buy the bike.

Answers

Answer: Molly will have to save $10 each week for 9 weeks to get $189.

Step-by-step explanation:

Start at $99, count $10 every week until you get $189. Your answer is 9 weeks.

Find the area of the shape shown below.

Answers

Answer:

936

Step-by-step explanation:

1 x 12 x 13 x 6= 936

Here is some evidence

Answer:36

Step-by-step explanation: L•w/2 = A for triangular

a rectangle has a perimeter of 204 feet. Its length is six feet longer that twice its width. find the dimensions

Answers

Answer:

The length of the rectangle is 70 cm

The width of the rectangle is 32 cm

Step-by-step explanation:

Given:

perimeter of the rectangle  =   204 feet

Its length is six feet longer that twice its width

To Find:

The  dimensions of the rectangle = ?

Solution:

Let the width of the rectangle be x

Then its length  is six feet longer that twice its width.

That is length  = 6 + 2x

Now we know that the perimeter of the rectangle is

perimeter =  2(length + width)

204 = 2(6+2x+x)

204 = 2(6+3x)

204 = 12 +6x

204 - 12 = 6x

192 =  6x

x =[tex]\frac{192}{6}[/tex]

x = 32

Thus the width is 32 cm

Its length is  

=6 + 2x

=6 + 2(32)

=6 + 64

= 70 cm

In a certain school 75% of the students in first year chemistry have had algebra if there are 300 students in first year chemistry how many of them have had algebra?

Answers

Answer:

225

Step-by-step explanation:

Total number of students =300

75% have had algebra

Number of students that have had algebra will be

= 75%/100% x 300

= 0.75 x 300

= 225

So, 225 of the 300 students have had algebra

Answer:225 students

There are 2 simple ways to get the answer.

Solve the equation 11x + 7 = 73?

Answers

Answer:

6

Step-by-step explanation:

answer: x=6 || 11x=66

9. What is the area of the largest square?
A=2
A=36units2
A=64units2

Answers

Answer:

If you mean Area=2 and Area=36units times 2 and Area=64units times 2, then the answer is that A = 64units times 2 would be the largest square.

Step-by-step explanation:

The larger the area, the larger the square. The first square has an area of 2. The second square has an area of 72, and the third square has an area of 128, so the third square is the biggest.

Simplify : a) [tex]\sqrt{x} 0.49x^1^8[/tex] when x<0

Simplify : b) [tex]15\sqrt{x} 0.16c^1^2[/tex] x can be anything

Answers

(a) The simplified expression is [tex]\[-0.49 \cdot |x|^{18.5} \cdot i\][/tex]. (b) The simplified expression remains [tex]\[15\sqrt{x} + 0.16c^{12}\][/tex].

Let's simplify the given expressions step-by-step.

a) Simplify [tex]\(\sqrt{x} \cdot 0.49x^{18}\) for \(x < 0\)[/tex]

Since [tex]\(x < 0\), \(x\)[/tex] is negative. This affects the interpretation of [tex]\(\sqrt{x}\)[/tex] in the real numbers because the square root of a negative number is not real. However, if we consider complex numbers, we need to include the imaginary unit [tex]\(i\).[/tex]

Given:

[tex]\[\sqrt{x} \cdot 0.49x^{18}\][/tex]

First, let's express [tex]\(\sqrt{x}\)[/tex] in terms of the imaginary unit:

[tex]\[\sqrt{x} = \sqrt{|x|} \cdot i\][/tex]

Next, rewrite \(x^{18}\):

[tex]\[x^{18} = (x^2)^9 \\= |x|^{18} \cdot (-1)^9 \\= -|x|^{18}\][/tex]

Thus, the expression becomes:

[tex]\[\sqrt{|x|} \cdot i \cdot 0.49 \cdot -|x|^{18}\][/tex]

Simplify the coefficients and combine terms:

[tex]\[0.49 \cdot -1 = -0.49\\\sqrt{|x|} \cdot |x|^{18} = |x|^{\frac{1}{2}} \cdot |x|^{18} = |x|^{18.5}\][/tex]

Therefore, the simplified expression is:

[tex]\[-0.49 \cdot |x|^{18.5} \cdot i\][/tex]

b) Simplify [tex]\(15\sqrt{x} + 0.16c^{12}\)[/tex]

Here, [tex]\(x\) and \(c\)[/tex] can be anything.

Given:

[tex]\[15\sqrt{x} + 0.16c^{12}\][/tex]

There are no common factors to combine these terms, so the expression is already simplified. The terms involve different variables and exponents, and cannot be further simplified together.

So the simplified expression remains [tex]\[15\sqrt{x} + 0.16c^{12}\][/tex]

a) The simplified expression is [tex]\[-0.49 \cdot |x|^{18.5} \cdot i\].[/tex]

b) The expression remains as usual given in the question:

[tex]\[15\sqrt{x} + 0.16c^{12}\][/tex]

What is the solution to the system of equations below?
y=3x-4 and Y =-2x-9

A(-2, -5)
B(-2,-3)
C(2,-3)
D(2,-13)

Answers

C(2,-3)

That is your answer

Thank you for choosing brainly

My answer might be wrong

If f(1) = 7 and f(n) = f(n − 1) – 4 then find the value of f(6).

Answers

Answer:

- 13

Step-by-step explanation:

f(1) = 7

f(n) = f(n − 1) – 4

f(₂) = f(1) – 4 = 7 - 4 = 3

f(₃) = f(₂) – 4 = 3 - 4 = -1

f(₄) = f(3) – 4 = (-1) - 4 = - 5

f(₅) = f(₄) – 4 = (- 5) - 4 = - 9

f(₆) = f(₅) – 4 = (- 9) - 4 =  - 13

Final answer:

The value of f(6) is -13, calculated based on the provided recursive formula where each term is four less than the previous.

Explanation:

We are given that f(1) = 7, and the recursive equation for n is f(n) = f(n − 1) – 4. Since the equation shows that each next term is four less than the previous one, we can calculate the following iterations:

f(2) = f(2-1) - 4 = f(1) - 4 = 7 - 4 = 3f(3) = f(3-1) - 4 = f(2) - 4 = 3 - 4 = -1f(4) = f(4-1) - 4 = f(3) - 4 = -1 - 4 = -5f(5) = f(5-1) - 4 = f(4) - 4 = -5 - 4 = -9f(6) = f(6-1) - 4 = f(5) - 4 = -9 - 4 = -13

So, the value of f(6) is -13.

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If 3/7 of Z is 42, what is 5/7 of Z?

Answers

Answer:

x = 70

Step-by-step explanation:

First to make the equation easy, divide 42 by 3 to get what 1/7 of Z equals.

42 / 3 = 14

Now to get 5/7 of Z, just multiply 14 by 5.

14 x 5 = 70

x = 70

Hope this helped.

Answer:

70

Step-by-step explanation:

convert the decimal & solve for Z.

(3/7)Z = 42

(0.4286)Z = 42

Z = 98

Now,

(5/7)Z = ?

putting the value of Z

(0.714) (98) = 70

Suppose a basketball player typically makes one-third of his foul shots. Which simulation could be used to generate frequencies and determine the probability that the player will make his next two foul shots?

Answers

Answer:

D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Roll two fair dice, when a 1 or 2 is rolled for both dice simultaneously it is recorded as both foul shots being made. This process is repeated for 50 trials.

The probability of a 1 or 2 from a roll of a die is

2

6

or

1

3

which equals the probability of the player making a single foul shot. Therefore, the compound event of two foul shots being made is equal to a 1 or 2 being rolled on both dice simultaneously, (

1

3

)(

1

3

) =

1

9

.

3=3/4(b-8)
Please help me thank you!

Answers

So you need to isolate/get "b" by itself in the equation:

[tex]3=\frac{3}{4}(b-8)[/tex]       Distribute/multiply 3/4 into (b - 8)

[tex]3=(\frac{3}{4}(b))+(\frac{3}{4}(-8))[/tex]

[tex]3=(\frac{3}{4} b)+(-6)[/tex]           Don't know which goes into the parentheses....think the one above makes more sense...maybe....sorry

[tex]3=\frac{3}{4} b-6[/tex]           Add 6 on both sides

[tex]9=\frac{3}{4} b[/tex]        Multiply the reciprocal of 3/4 to get rid of the fraction and get b by itself, which would be 4/3  [basically flipping the fraction or switching the numerator and the denominator]

[tex]\frac{36}{3} =b[/tex]            Simplify the fraction

12 = b

Which of the following numbers is irrational?
Select all that apply.
2.3
n
8/9
1.5

Answers

Answer:

N

Step-by-step explanation:

N is the correct answer

Simplify the expression. 7y+3x+3-2y+6

What is the coefficient of y

What is the constant

Answers

The coefficient is 5
And the constant is 9

Answer:

Step-by-step explanation: combine like terms 7y minus 2y is 5y then combine 3 plus 6 which is 9 then u get 3x+5y+9

Two cars start from towns 805 miles apart and travel toward each other. They meet after 7 hours. Find the speed of each car if one travels 15 mph faster than the other.

Answers

Answer:

One car was going 50 mph and the other was going 65 mph.

Step-by-step explanation:

Write the Contrapositive of the statement Below.⬇

If you have, 400$, then you can afford a new laptop computer.​

Answers

Answer:

If you can't afford a new laptop computer, then you haven't got 400$.

Step-by-step explanation:

The contrapositive is:

If A implies B then not B implies not A.

A bag contains five white balls and five black balls. Your goal is to draw two black balls.

a) You draw two balls at random. What is the probability that they are both black?

b) You draw two balls at random. Once you have drawn two balls, you put back any white balls, and redraw so that you again have two drawn balls. What is the probability that you now have two black balls? (Include the probability that you chose two black balls on the first draw.)

Answers

Final answer:

The probability of drawing two black balls from a bag containing 5 white and 5 black balls is 2/9 (approximately 0.22) if you do not replace balls after drawing them, and 1 if you replace any white balls that are drawn.

Explanation:

This question relates to the concept of probability in mathematics. The total number of balls in your bag is 10 (5 white balls and 5 black balls). If you want to draw two black balls, the probability will change based on the conditions of the question.

a) For the first draw, there are 5 black balls out of a total of 10 balls, so the probability is 5/10 or 0.5. If a black ball is drawn in the first draw, there are now 9 total balls and 4 of them are black, so the probability for the second black ball is 4/9. For both balls to be black, multiply the individual probabilities: (5/10) * (4/9) = 20/90 = 2/9 approximately equal to 0.22.

b) If you draw two balls and put back any white balls, then redraw until you have two balls, you are essentially ensuring that white balls are not counted. In this case, every draw will either be a black ball or a redraw with a white ball, so the probability is essentially 1 that you will eventually draw a black ball. Therefore, the probability of drawing two black balls using this method is (1/1) * (1/1) = 1.

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What is the area of the following circle?

the diameter is 10.

Answers

Answer: The area of the circle with a diameter of 10 cm is 78.5 cm2.

Answer: 78.5 units²

Step-by-step explanation: To find the area of a circle, start with the formula for the area of a circle.

Area = πr²

Notice that here, we're given the diameter instead of the radius. It's important to understand that the radius is equal to half of the diameter so the radius of this circle will be equal to half of 10 or 5.

So plugging into the formula, we have (π)(5)².

A common mistake is to plug 10 into the formula but remember that we must plug in the radius and not the diameter.

Multiplying, (5)² is equal to 5 x 5 or 25 so we have 25π.

So the area of the circle is 25π.

Now, remember that π is approximately equal to 22/7 or 3.14 so we can estimate the area of the circle by plugging in 3.14 for π.

So we have (25)(3.14) which is equal to 78.5 units².

Since there were no labels, I just add units to the end.

So the area of the circle is approximately equal to 78.5 units².

ZX is the perpendicular bisector of wY, and YZ = 13.75. Find wz.

Answers

13.75 + 13.75 = 27.5
27.5 / 2 = 13.75
wz = 13.75

The required values are WZ = 13.75 and YZ = 27.

What is a perpendicular bisector?

A perpendicular bisector is defined as a line that divides an angle into two equal angles. Draw the given angle first, then cut it in half, and then draw the angle's bisector.

As per question 1,

We have been given that ZX is the perpendicular bisector of WY

YZ = 13.75

13.75 + 13.75 = 27.5

27.5 / 2 = 13.75

WZ = 13.75

As per question 2,

We have been given that ZX is the perpendicular bisector of WY

WZ = 4n - 13 and YZ = n + 17

To find YZ

According to the property of the perpendicular bisector,

WZ = YZ

4n - 13 = n + 17

4n - n = 17 + 13

3n = 30

n = 30/3

n = 10

Substitute the value of n = 10 in YZ = n + 17

So, YZ = 10 + 17 = 27

Thus, the required values are WZ = 13.75 and YZ = 27.

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convert the rate 175 miles per 5 gallons to feet per quart.​

Answers

Answer: 46200 feet per quart.

Step-by-step explanation:

We know that 1 gallon = 4 quarts

1 mile = 5280 feet

Therefore , 5 gallons = 5 x 4 quarts

= 20 quarts                 (i)

175 miles = 175 x  5280 feet

i.e. 175 miles  = 924000 feet                    (ii)

Now , 175 miles per 5 gallons = [tex]\dfrac{\text{ 175 miles }}{\text{5 gallons}}[/tex]

[tex]=\dfrac{ 924000 \text{ feet}}{\text{20 quarts}}[/tex]    [From (i)and (ii)]

[tex]\dfrac{46200\text{ feet }}{1\text{ quart}}\\\\=46200\text{ feet per quart}[/tex]

Hence, 175 miles per 5 gallons = 46200 feet per quart.

Answer:

175 miles per 5 gallons = 46200 feet per quart.

Please answerrrr I need it desperately and please EXPLAIN how.!!

Answers

Answer:

B

Step-by-step explanation:

The opposite of negative one half is the one half and the opposite of 5/2 is -5/2, or -2.5

Check the picture below.

Other Questions
A lock has two buttons: a "0" button and a "1" button.To open a door you need to push the buttons according to a preset 8-bit sequence. How many sequences are there? Suppose you press an arbitrary 8-bit sequence; what is the probability that the door opens? If the first try does not succeed in opening the door, you try another number; what is the probability of success? Write your question here (Keep it simple and clear to get the best answer)what is the dimensions of angular velocity what ordered pair is a solution for y-4=7(x-6) Which of the following is an advantage to using internal databases for information? A. Internal information is accurate and complete. B. Internal information is in a form that is useful for making marketing decisions. C. They can be accessed quickly and cheaply. D. Internal information sources are easy to manage. E. The information stored in internal databases is always current. WHICH IS NOT A PROPERTY OF GOLD?A. COMMONB. MELLABLEC. GOOD REFLECTOR OF HEATD. GOOD CONDUCTOR OF ELETRICITY What is the product of 1/232 Customers arrive at a grocery store at an average of 2.1 per minute. Assume that the number of arrivals in a minute follows the Poisson distribution. Provide answers to the following to 3 decimal places. What is the probability that exactly two customers arrive in a minute? Find the probability that more than three customers arrive in a two-minute period. What is the probability that at least seven customers arrive in three minutes, given that exactly two arrive in the first minute? in which of the following pairs of states was the African American populationgreater than the white population? What concentration of SO 2 3 SO32 is in equilibrium with Ag 2 SO 3 ( s ) Ag2SO3(s) and 7.10 10 3 7.10103 M Ag + Ag+? Harry is driving on the interstate highway for the first time since he obtained his license. He is nervous and wants to get off the interstate but cannot do so; his heart and pulse are racing. In this scenario, Harry's physiological responses can be best attributed to his _____ nervous system. a. sympathetic b. parasympathetic c. somatic d. central The theoretical probability of choosing a red grape from abag of grapes is 2/9. There are 8 red grapes in the bag. Howmany grapes are in the bag? Mario says that the expression 4+3n has four terms: 4, 3, n, and 2. Is he correct? explain._______________________________________________________________________________________________________________________________________ Martha is looking to move to a new city to raise her two young children. School quality and crime rates are her two biggest concerns that she will evaluate before deciding on which city to move to. Her employment is flexible in that she works from home. Thus, she is able to work from anywhere in the country calls many police departments around the country, seeking information about their crime statistics. One particular police department recommends that she look at the published reports developed by the FBI, which compared cities and crime statistics per 100,000 residences. What report should she look at? a. ATF b. UCR c. NCVS d. DRS-II Chris has a job as a sales representative for a pharmaceutical company. The company offers both quarterly and annual bonuses based on performance. The company also has a profit-sharing plan for its employees. This demonstrates Fayol's principle of __________.a. subordination of individual interests to the common interest.b. equity.c. remuneration of personnel.d. esprit de corps.e. initiative. Fixed Costs,or overhead,are expenses that are the same no matter how much product you sell. Identify the fixed costs for your cafe, estimate the monthly amount for each, and calculate the monthly total. Which word has a negative connotation ? A.thin,b.skinny c. Slim d.slender The United States often uses sanctions to ___ a country.A.) create an exception onB.) impose a penalty onC.) discourage trade withD.) step into a conflict with Which statement describes the congruent triangles?Triangles W Z X and Z Y X. Sides W Z and X Y are congruent, sides Z Y and W X are congruent, and sides Z X are congruent.Triangle W X Z is congruent to triangle Y Z XTriangle W X Z is congruent to triangle Y X ZTriangle W X Z is congruent to triangle X Y ZTriangle W X Z is congruent to triangle Z Y X Children and teenagers act more impulsively than adults partially because their ________ are not fully developed. True or falsePeople have a relationship with money as they do with each other.A. TrueB. False