Answer:
so x=5y

reciprocal of x=1/x then

sum of reciprocals means 1/x+1/y=2/5

subsitute x=5y for x in 1/x+1/y=2/5 and get

1/5y+1/y=2/5

multiply 1/y by 5/5 to make it 5/5y so you can add since the denomenators (bottom number) are the same

1/5y+5/5y=2/5

6/5y=2/5

multiply both sides by 5y

6=2y

divide both sides by 2

3=y

put this into x=5y so

x=5(3)

x=15

y=3

reciprocal of x=1/x then

sum of reciprocals means 1/x+1/y=2/5

subsitute x=5y for x in 1/x+1/y=2/5 and get

1/5y+1/y=2/5

multiply 1/y by 5/5 to make it 5/5y so you can add since the denomenators (bottom number) are the same

1/5y+5/5y=2/5

6/5y=2/5

multiply both sides by 5y

6=2y

divide both sides by 2

3=y

put this into x=5y so

x=5(3)

x=15

y=3

An artist wants to make alabaster pyramids using a block of alabaster with a volume of 576 cubic inches. She plans to make each pyramid with a square base area of 3 square inches and a height of 4 inches. At most, how many pyramids can the artist make from the block of alabaster?

What is the result of subtracting the second equation from the first? -2x+y = 0-7x+3y = 2

A penny a nickel a dime and a quarter are tossed. what is the probability of obtaining four tailsfour tails on the tosses?

In a right triangle, the measure of one acute angle is 26°. What is the measure of the other acute angle?

A guitar factory has a cost of production C(x) = 100x + 56000 , where is the number of guitars produced . If the company needs to break even after 150 units sold, at what price should they sell each guitar ? Use the variable p to represent the price Round up to the nearest dollar .

What is the result of subtracting the second equation from the first? -2x+y = 0-7x+3y = 2

A penny a nickel a dime and a quarter are tossed. what is the probability of obtaining four tailsfour tails on the tosses?

In a right triangle, the measure of one acute angle is 26°. What is the measure of the other acute angle?

A guitar factory has a cost of production C(x) = 100x + 56000 , where is the number of guitars produced . If the company needs to break even after 150 units sold, at what price should they sell each guitar ? Use the variable p to represent the price Round up to the nearest dollar .

x(x - 6) = 4(x + 6)

x(x) - x(6) = 4(x) + 4(6)

x² - 6x = 4x + 24

__ - 4x - 4x __

x² - 10x = 24

x² - 10x - 24 = 24 - 24

x² - 10x - 24 = 0

x =__-(-10) +/- √((-10) - 4(1)(-24))__

2(1)

x =__10 +/- √(100 + 96)__

2

x =__10 +/- √(196)__

2

x = __10 +/- 14__

2

x = 5 __+__ 7

x = 5 + 7 U x = 5 - 7

x = 12 x = -2

The values of x in the equation is either equal to 12 or -2.

x(x) - x(6) = 4(x) + 4(6)

x² - 6x = 4x + 24

x² - 10x = 24

x² - 10x - 24 = 24 - 24

x² - 10x - 24 = 0

x =

2(1)

x =

2

x =

x = 12 x = -2

The values of x in the equation is either equal to 12 or -2.

The answer is halogen

excuse the other person saying u need a bigger brain, u don’t

excuse the other person saying u need a bigger brain, u don’t

This is your answer. Thank!

D;

supplementary angles sum up to 180°, so let's say we have two angles, **a** and **b**, **a + b = 180**, but we know that **a** is __twice the measure of her partner__, so **a = 2b**.

We know the first place after decimal is tenths

The second place after decimal is hundredths

The third place after decimal is the thousandths place

So for 0.056

0 is at the tenths place

5 is at the hundredths place

and 6 is at the thousandths place

Expanding 22.056 we get

22.056 = 20 + 2 + 0.05 + 0.006

OR

22.056 =

20.000 + 2.000 + .050 +.006

How many girls are there?

total children = 420

boys = 45% of 420 = 189 boys

Girls = (100-45)% = 55% of 420 = 231 boys

boys = 45% of 420 = 189 boys

Girls = (100-45)% = 55% of 420 = 231 boys