MATHEMATICS HIGH SCHOOL

12.5,-10,-7.5,x;the mean is 11.5

Answers

Answer 1

Answer:

Answer:

Hi!

The correct answer is x = 51.

Step-by-step explanation:

By definition the mean formula is:

$mean = (x_1 + x_2 + x_3 + ... + x_n)/(n)$

where x are the samples of the data set and n the numbers of elements in the set.

In this case:

n = 4
mean = 11.5

Replacing the data on the general formula:

$11.5 = (12.5 - 10 - 7.5 + x)/(4)$

Solving the equation step by step,

$4 * 11.5 = -5 + x}$

$46 = -5 + x}$

$51 = x}$

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Which is bigger 20% of 300 or 1/4 of 200

Answers

to find 20% of 300, multiply .2 x 300 = 60
60 is 20% of 300

1/4 = 25%
to find 25% of 200, multiply .25 x 200 = 50
50 is 1/4 of 200

20% of 300 is more than 1/4 of 200

(20/100) *300 = (2/1)*30= 60(1/4) * 200= 200/4 = 50

Martha is buying a house for $107,820. She is making 15 percent down payment and financing the remainder at 6.5 percent for 25 years. How much is she financing?$96,138
$625.95
$91,647
$583.45

Answers

Answer:

$91,647

Step-by-step explanation:

To determine the amount that Martha is financing, you have to calculate the amount of the down payment that is a sum that she will give upfront:

$107,820 → 100%

x ← 15%

x=($107,820*15%)/100%= $16,173

Then, yoou have to subtract this amount from the price of the house:

$107,820-$16,173= $91,647

According to this, the answer is that she is financing $91,647.

Given:
Total price : 107,820
down payment 15% of the total price.
financing the remainder at 6.5% for 25 years.

How much is she financing? She will finance 85% of the total price.

107,820 * 15% = 16,173
107,820 - 16,173 = 91,647

or
107,820 * (100-15)% = 107,820 * 85% = 91,647

8. What is the solution to the system? y = 1/2x, 2x + 3y = 28A) (2, 3)
B) (8, 4)
C) (7, 3.5)
D) (2, 14)

Answers

$y=(1)/(2)x \n2x+3y=28 \n \n\hbox{substitute } (1)/(2)x \hbox{ for y in the second equation:} \n2x+3 ((1)/(2)x)=28 \n2x+(3)/(2)x=28 \ \ \ \ \ |* 2 \n4x+3x=56 \n7x=56 \ \ \ \ \ \ \ \ \ \ \ \ |/ 7 \nx=8 \n \ny=(1)/(2)x=(1)/(2) * 8=4 \n \n\boxed{(x,y)=(8,4)} \Leftarrow \hbox{answer B}$

A sheet of cardboard measures 9 feet by 6 feet. Gina makes the entire sheet of cardboard into a closed box that is a perfect cube. What is the surface area of the box?

Answers

I'd call this a trick question ... at least one that's trying hard to distract you.

It makes no difference what shape Gina decided to construct with her cardboard.
Whether it was a cube, a sphere, a pyramid, or a crumpled up ball of cardboard.
As long as she used "... the entire sheet of cardboard ...", the surface area stays
the same as it was when it was just a flat sheet.

(9-feet x 6-feet) = 54 square feet

Find the slope of the line graphed below.