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2 years ago

(Use the Distributive Property to find an equivalent expression) 2(3x-7y) = ?

Mathematics

1 answer:

IRINA_888 [86]2 years ago

6 0

Answer:

(7y-3x)2

Step-by-step explanation:

It's the same thing but backwards

I hope this helps

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A student has a 2% salt water solution and a 7% salt water solution. To best imitate salt water at a local beach, he needs 1 lit

FromTheMoon [43]

Let

x-------> the amount of $2\%$ solution

y--------> the amount of $7\%$ solution

we know that

$2\%=0.02\\7\%=0.07\\3.5\%=0.035$

$x+y=1$

$y=1-x$ -------> equation A

$0.02x+0.07y=0.035$ -------> equation B

substitute equation A in equation B

$0.02x+0.07(1-x)=0.035$

$0.02x+0.07-0.07x=0.035$

$0.05x=0.035$

$x=0.7\ liters$

find the value of y

$y=1-x$

$y=1-0.7=0.3\ liters$

therefore

The student need $0.7\ liters$ of $2\%$ solution and $0.3\ liters$ of $7\%$ solution

<u>the answer is</u>

A) The percent values were written incorrectly in the equation

B) The amount of 7% solution should be written as 1 – x, not x – 1.

8 0

3 years ago

Read 2 more answers

Pyramid A is a square pyramid with a base side length of 18 inches and a height of 9 inches. Pyramid B has a volume of 3,136 cub

seraphim [82]

Answer:

322.63%

Step-by-step explanation:

Volume of square pyramid = 1/3a²h

a = base side length ; h = height

Volume of pyramid A :

a = 18 ; h = 9

V = 1/3*18²*9

V = 18² * 3

V = 972 in³

Volume of pyramid B = 3136 in³

Volume of pyramid B / Volume of pyramid A

(3136 / 972) * 100% = 322.63%

8 2

3 years ago

Read 2 more answers

Shortern this expression pls

pogonyaev

Answer:

$c =\frac{8}{3}$

Step-by-step explanation:

Given

$c = \sqrt{\frac{4 + \sqrt 7}{4 - \sqrt 7}} + \sqrt{\frac{4 - \sqrt 7}{4 + \sqrt 7}}$

Required

Shorten

We have:

$c = \sqrt{\frac{4 + \sqrt 7}{4 - \sqrt 7}} + \sqrt{\frac{4 - \sqrt 7}{4 + \sqrt 7}}$

Rationalize

$c = \sqrt{\frac{4 + \sqrt 7}{4 - \sqrt 7} * \frac{4 + \sqrt 7}{4 + \sqrt 7}} + \sqrt{\frac{4 - \sqrt 7}{4 + \sqrt 7}*\frac{4 - \sqrt 7}{4 - \sqrt 7}}$

Expand

$c = \sqrt{\frac{(4 + \sqrt 7)^2}{4^2 - (\sqrt 7)^2}} + \sqrt{\frac{(4 - \sqrt 7)^2}{4^2 - (\sqrt 7)^2}$

$c = \sqrt{\frac{(4 + \sqrt 7)^2}{16 - 7}} + \sqrt{\frac{(4 - \sqrt 7)^2}{16 - 7}$

$c = \sqrt{\frac{(4 + \sqrt 7)^2}{9}} + \sqrt{\frac{(4 - \sqrt 7)^2}{9}$

Take positive square roots

$c =\frac{4 + \sqrt 7}{3} + \frac{4 - \sqrt 7}{3}$

Take LCM

$c =\frac{4 + \sqrt 7 + 4 - \sqrt 7}{3}$

Collect like terms

$c =\frac{4 + 4+ \sqrt 7 - \sqrt 7}{3}$

$c =\frac{8}{3}$

4 0

3 years ago

Jenica has $4.50 in dimes and quarters. She has 1 more than three as many quarters as dimes. How many quarters does she have?

Zielflug [23.3K]

Answer:

Laura has $4.50 in dimes and quarters she has 3 more dimes than quarters How many quarters does she have

She has 3 more dimes than quarters. How many quarters does she have? Laura has 15 dimes and 12 quarters.

Step-by-step explanation:

4 0

3 years ago

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Sasha invests $200 at 5% after 6 months

Umnica [9.8K]

5% of 200 is 10, after six months, so total of $60? not sure though.

8 0

3 years ago