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2 years ago

I’m doing homework and i don’t know how to find x

Mathematics

1 answer:

Sladkaya [172]2 years ago

8 0

Answer:

x=15

Step-by-step explanation:

(x+10)=(4x-35) Set them equal to each other

x+10=4x-35

-x +35| -x+35 subtract x from both sides and add 35 to both sides

45=3x

----------- divide by 3, which will give you the answer

3 3

15=x

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Which of the options represents the resulting equation after an equivalent expression for y is substituted into the second equat

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Answer:

Correct choice is D

Step-by-step explanation:

Given the system of two equations:

$\left\{\begin{array}{l}4x+y=8\\6x-9y=12\end{array}\right..$

Fro mthe first equation

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Substitute into the second equation $8-4x$ instead of y:

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Answer:

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Step-by-step explanation:

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3 years ago

Can someone answer this for me?

Sophie [7]

Answer:

D 26

Step-by-step explanation:

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4 years ago

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Prove divisibility 45^45·15^15 by 75^30

Anuta_ua [19.1K]

Answer:

$3^{75}$

Step-by-step explanation:

We are asked to divide our given fraction: $\frac{45^{45}*15^{15}}{75^{30}}$ .

We will simplify our division problem using rules of exponents.

Using product rule of exponents $(a*b)^n=a^n*b^n$ we can write:

$45^{45}=(3*15)^{45}=3^{45}*15^{45}$

$75^{30}=(5*15)^{30}=5^{30}*15^{30}$

Substituting these values in our division problem we will get,

$\frac{3^{45}*15^{45}*15^{15}}{5^{30}*15^{30}}$

Using power rule of exponents $a^m*a^n=a^{m+n}$ we will get,

$\frac{3^{45}*15^{45+15}}{5^{30}*15^{30}}$

$\frac{3^{45}*15^{60}}{5^{30}*15^{30}}$

Using quotient rule of exponent $\frac{a^m}{a^n}=a^{m-n}$ we will get,

$\frac{3^{45}*15^{60-30}}{5^{30}}$

$\frac{3^{45}*15^{30}}{5^{30}}$

Using product rule of exponents $(a*b)^n=a^n*b^n$ we will get,

$\frac{3^{45}*(3*5)^{30}}{5^{30}}$

$\frac{3^{45}*3^{30}*5^{30}}{5^{30}}$

Upon canceling out $5^{30}$ we will get,

$3^{45}*3^{30}$

Using power rule of exponents $a^m*a^n=a^{m+n}$ we will get,

$3^{45+30}$

$3^{75}$

Therefore, our resulting quotient will be $3^{75}$ .

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