MATHEMATICS
MIDDLE SCHOOL

Answer: 1\10 of 400,000 is 10 times as much as 40,000

40,000 times 10 = 400,000 therefore its 1\10 of 400,000

40,000 times 10 = 400,000 therefore its 1\10 of 400,000

HIGH SCHOOL

Solve using elimination 5x-9y=-43 3x+8y=68

The answer is 4, 7.

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MIDDLE SCHOOL

The cost C (in dollars) of making a square window with a side length of n inches is represented by C=n25+175. A window costs $355. What is the length (in feet) of the window?

Answer:

Length of window = 3/5 feet

Step-by-step explanation:

Cost of making one window (C) = $ 355

Cost of making a square window with length n inch is C = n(25) + 175

C = 25n + 175

By substituting the value of C and n in above equation:

355 = 25n + 175

25n = 355 - 175

25n = 180

n = 180/25

n = 36/5

Length of a square window in inches = 36/5

Length of a square window in feet = (∵ 1 inch = 1/12 feet)

Answer:

This is the answer...

Step-by-step explanation:

These are the steps.

Since an expert answered I'll just give myself some free points.

I also think he means the 2 is an exponent.

HIGH SCHOOL

Using the expansion for the binomial: ( x^3 − y^4 )^9 :The coefficient for the 6th term is

Answer:

-126

Step-by-step explanation:

For the binomial expression the coefficient of term is given by .

We have to find the coefficient of 6th term in the binomial expansion of

.

Hence n=9 and r=5

The coefficient of 6th term =

=

= -126

HIGH SCHOOL

Write the statement in if-then form. The trash is picked up on Monday.

a. If the trash is picked up, then it is Monday.

b. If the trash is picked up on Monday, then there is a garbage truck.

c. If it is Monday, then the trash is picked up.

d. If it is not Monday, then the trash is not picked up.

I believe the answer is A because its the only one that makes the most sense.

HIGH SCHOOL

6 is 24% of a number, what is 40% of the same number? A. 8

B. 10

C. 15

D. 20

E.25

SHOW ALL WORK

Answer:

B. 10

Step-by-step explanation:

6 = .24 * x

Solve for x

Divide each side by .24

6/.24 = x

25 =x

Now find 40% of 25

25*.4 = 10

HIGH SCHOOL

Answer 2 questions pls 1)x is how many percent less then 5x?

2)What is 1/6 of 9/2 of 8/5?

1. 20% since 5x = 100%

2. Simplify the following:

1/6×9/2×8/5

1/6×9/2×8/5 = (9×8)/(6×2×5):

(9×8)/(6×2×5)

The gcd of 9 and 6 is 3, so (9×8)/(6×2×5) = ((3×3) 8)/((3×2) 2×5) = 3/3×(3×8)/(2×2×5) = (3×8)/(2×2×5):

(3×8)/(2×2×5)

8/2 = (2×4)/2 = 4:

(3×4)/(2×5)

4/2 = (2×2)/2 = 2:

(3×2)/5

3×2 = 6:

Answer: 6/5

2. Simplify the following:

1/6×9/2×8/5

1/6×9/2×8/5 = (9×8)/(6×2×5):

(9×8)/(6×2×5)

The gcd of 9 and 6 is 3, so (9×8)/(6×2×5) = ((3×3) 8)/((3×2) 2×5) = 3/3×(3×8)/(2×2×5) = (3×8)/(2×2×5):

(3×8)/(2×2×5)

8/2 = (2×4)/2 = 4:

(3×4)/(2×5)

4/2 = (2×2)/2 = 2:

(3×2)/5

3×2 = 6:

Answer: 6/5

COLLEGE

A survey study is to be made to estimate the proportion of residents of a certain suburb who favor the construction of a public park near the suburb. The survey will ask at least 30 residents about their opinion regarding the construction. How large a sample is needed if one wishes to be at least 95% confident that the estimate is within 0.04 of the true proportion of residents favoring the construction of the public park?

Answer: 601

Step-by-step explanation:

When the prior estimate of population proportion is not given , the formula we apply to find sample size :

, where z* = critical z-value

E=Margin of error

Given : Margin of error = 0.04

Confidence level = 95%

We know that , according to the z-table , the critical value for 95% confidence interval = z*= 1.960

Then, the required sample size :

Hence, the required minimum sample size = 601

MIDDLE SCHOOL

HURRY PLEASE Solve the following system by the substitution method. Show your work.

{2x−7y=12

−x+3.5y=−6

Answer:

Step-by-step explanation:

Considering the system of the equations

Divide both sides by 2

MIDDLE SCHOOL

The volume of the cylinder with a hight of 1.5 cm and the diameter of 2 cm.

Answer:

4.71 ish centimeters

Step-by-step explanation:

The equation for a cylinder is , where h is the height and r is the radius. So plugging in the numbers you have Pi * (1)^2 *1.5.

4.71 centimeters is the answer