A video game system and several games are sold for $616. The cost of the games is 3 times as much as the cost of the system. Find the cost of the system and the cost of the games.
Cost of the video game system s

Answer:

A = pi 9/16  cm^2

Step-by-step explanation:

The circumference is 3/2 pi

The circumference is given by

C = 2 * pi *r

3/2 pi = 2 * pi *r

Divide each side by 2 *pi

3/2 pi / 2 pi  = 2 pi r /2pi

3/4 cm = r

Now we can find the area

A = pi r^2

A = pi ( 3/4) ^2

A = pi 9/16  cm^2

Answer:

d) 9/16π cm²

Step-by-step explanation:

Circumference = 3/2π cm

diameter = 3/2 cm

radius = 3/2 ÷ 2 = 3/4 cm

area = π(3/4)² = 9/16 π cm²

Answer:

112

Step-by-step explanation:

x - 90 = 22

add (solve for x)

x = 112

Answer:

0 < 0.05, which means that we reject the null hypothesis, meaning that the air pressure of the balls is different of the target value of 7.9.

Step-by-step explanation:

The air pressure of a particular ball has a target value of 7.9 PSI.

This means that the null hypothesis is:

[tex]H_{0}: \mu = 7.9[/tex]

The alternate hypothesis is:

[tex]H_{a}: \mu \neq 7.9[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

The hypothesis tested means that [tex]\mu = 7.9[/tex]

Suppose the basketballs have a normal distribution with a standard deviation of 0.20 PSI.

This means that [tex]\sigma = 0.2[/tex]

When a shipment of basketballs arrive, the consumer takes a sample of 21 from the shipment and measures their PSI to see if it meets the target value, and finds the mean to be 7.3 PSI.

This means that [tex]X = 7.3, n = 21[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{7.3 - 7.9}{\frac{0.2}{\sqrt{21}}}[/tex]

[tex]z = -13.74[/tex]

pvalue:

We are testing that the mean pressure is different than the target value of 7.9, and since the test statistic is negative, the pvalue is 2 multiplied by the pvalue of z = -13.74, which we find looking at the z-table.

[tex]z = -13.74[/tex] has a pvalue of 0.

2*0 = 0

0 < 0.05, which means that we reject the null hypothesis, meaning that the air pressure of the balls is different of the target value of 7.9.

Answer: 29 lbs

Step-by-step explanation: If you do 48 times 3 you will get 144 and if you do 144 divided by 16 you will get 9 and if you do 9 plus 20 you will get 29 lbs in total.

The required pounds of cat food Mr. Kramer get in all is 9.

given that,

First, he gets a 20-pound bag of dry cat food.
Then, he finds a good deal on 3-ounce cans of wet cat food,
so he buys 48 of them.
It is to determine how many pounds of cat food Mr. Kramer get in all.

In mathematics, it deals with numbers of operations according to the statements.

In a can, there are 3 ounces of wet cat food.
1 can = 3 ounce
multiplying both sides by 48
48 can = 3 * 48 ounce
48 can = 144 ounce
1 pound = 16 ounce
1/16 pound = 1 ounce
multiplying both sides by 144 on both sides
144 / 16 pound = 144 ounce
9 pound = 144 ounce

Thus, the required pounds of cat food Mr. Kramer gets in all is 9.

Learn more about arithmetic here:

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Answer:

I believe you need to add 38 and 14 together to get answer of 52 years old.

Answer:

2/3

Step-by-step explanation:

So out of the 2 pies there would be 16 pieces

Answer:

there is 16 pieces

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Answer:

Window :D

Step-by-step explanation:

Okay but it's 2 I gotchu bro

Answer:

x=6,1,5 is your answer look it once

it's a prism that is good question it's a prism ok a prism

Answer:

A prism.  A pyramid would look a little different, and flat too.

Hope that helps!

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

triple the answer

Step-by-step explanation:

.1×250=25

.3×250= 75

25×3=75

Answer:

question is???

Step-by-step explanation:

Answer:

Step-by-step explanation:

20 times pop. of Panama = 20×(4×10⁶) = 80×10⁶ = 8×10⁷

Population of Thailand = 7×10⁷ < 8×10⁷

pop of Thailand is less than 20 times pop of Panama.

Answer:

12, 45, 1.8, -9, 18

Step-by-step explanation:

up up down down left right left right  b a start

9514 1404 393

Answer:

  y = 8√3

Step-by-step explanation:

In the 30°-60°-90° "special" triangle, the ratio of sides lengths is ...

  1 : √3 : 2 = 8 : y : hypotenuse

In order for these ratios to be equal, we must have ...

  y = 8√3

__

If you want to solve this using your trig skills, you recognize that ...

  Tan = Opposite/Adjacent

  tan(30°) = 8/y

  y = 8/tan(30°) . . . . where tan(30°) = 1/√3

  y = 8√3

Answer:

A linear equation can be written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

If we want to have a slope equal to -2, then our line will be something like:

y = -2*x + b

Now, we also want this line to pass through the point (3, -4)

This means that when x = 3, we must have y = -4

Then:

-4 = -2*(3) + b

-4 = -6 + b

-4 + 6 = b

2 = b

Then our line is:

y = -2*x + 2

Now, the second part says that:

If this line  contains the points (2,8) and (5.b), find a and b.​

This is incorrectly written because this line clearly does not contain the point (2, 8), so i guess the actual problem is something like:

If this line  contains the points (a,8) and (5.b), find a and b.​

If the line contains the point (a, 8), this means that when y = 8, we must have x = a.

Then:

8 = -2*a + 2

8 - 2 = -2*a

6 = -2*a

6/-2 = -3 = a

a = -3

Similar reasoing for the other point, if the line contains the point (5, b), this means that when x = 5, we have y = b.

Then:

b = -2*5 + 2 = -10 + 2

b = -8

Answer:

Try this

Step-by-step explanation:

So what you have to do is turn 65% into a decimal. 65% as a decimal is 0.65.

Then what you want to do is divide 5.00 and 0.65 and see what you get.

Answer:

Step-by-step explanation:

If you use the Puythagorean Theorem, you know that 3^2+3.75^2=X^2 (with X being the hypotenuse)

Then, you simplify and add. you should get 23.0625=X^2

After that you √ (square root) both of them and you get 4.80234318=X

Answer:

B

Step-by-step explanation:

Add 8 to half the difference of 6 and 2, then subtract 1. Therefore, the option B is the correct answer.

PEMDAS is an acronym used to mention the order of operations to be followed while solving expressions having multiple operations. PEMDAS stands for P- Parentheses, E- Exponents, M- Multiplication, D- Division, A- Addition, and S- Subtraction.

The given expression is 8+ 1/2×(6-2)-1

= 8+1/2×4-1

= 8+2-1

= 10-1

= 9

Therefore, the option B is the correct answer.

Learn more about the PEDMAS rule here:

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Answer:

Where's the rest of this question??

9514 1404 393

Answer:

Step-by-step explanation:

Let c represent the number of colored shirts sold. Then c-14 is the number of white shirts sold. The total revenue is ...

  10.50c +9.95(c -14) = 310.60

  20.45c -139.30 = 310.60 . . . . . . simplify

  20.45c = 449.90 . . . . . . . . . . add 139.30

  c = 22 . . . . . . . . . . . . . . . . . divide by 20.45

  c-14 = 8

22 colored shirts and 8 white shirts were sold.

Answer:

i think it would be negative. -1/8