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3 years ago

14

sarah has aa collection of marbles. she notices that if she borrows 4 marbles from a friend then she can arrange the marbles in

rows of 13 each. what is the remainder when she divides her original number of marbles by 13?

1 answer:

HACTEHA [7]3 years ago

3 0

It would be 13-4/13

So, the remainder would be 9

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sandi has 2 1/3 cases of car oil in her garage. a full case contains 12 quarts. how many quarts of oil does sandi have?

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3 years ago

5^(2x-1)+5^(x+1)=250<br> how do you solve?<br> thank you

zepelin [54]

Answer:

<em>x = 2</em>

Step-by-step explanation:

<u>Exponential Equations</u>

Solve:

$5^{2x-1}+5^{x+1}=250$

Separate each exponential:

$5^{2x}5^{-1}+5^{x}5^{1}=250$

Operating:

$\displaystyle \frac{5^{2x}}{5}+5^{x}5=250$

Multiplying by 5:

$5^{2x}+25\cdot5^x=1250$

Rearranging:

$5^{2x}+25\cdot5^x-1250=0$

Recall that:

$5^{2x}=(5^{x})^2$

$(5^{x})^2+25\cdot5^x-1250=0$

Calling

$y=5^{x}:$

$y^2+25y-1250=0$

Factoring:

$(y-25)(y+50)=0$

There are two possible solutions:

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3 years ago

What is the value of x in the equation. 8 x - 2 y= 48 when y =4

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$\qquad$ ❄️ $\boxed{\bf x = 7}\\\\$

We are given –

$\qquad$ $\twoheadrightarrow\bf 8x -2 y =48$

And also value of y's given. So, just put the value of y in the given equation.

___________________________________

$\qquad$ $\purple{\twoheadrightarrow\bf 8x -2 y =48}$

$\qquad$ $\twoheadrightarrow\sf 8x - \underbrace{2 \times 4} =48$

$\qquad$ $\twoheadrightarrow\sf 8x - 8 =48$

$\qquad$ $\twoheadrightarrow\sf 8x = 48 +8$

$\qquad$ $\twoheadrightarrow\sf 8x = 56$

$\qquad$ $\twoheadrightarrow\sf x =\cancel{\dfrac{56}{8}}$

$\qquad$ $\purple{\twoheadrightarrow\bf x= 7}$

Henceforth, value of x is 7.

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2 years ago

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