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3 years ago

Solve the following equations for x 3/4=3/8x-3/2

Mathematics

1 answer:

4vir4ik [10]3 years ago

7 0

Answer:

x = 6

Step-by-step explanation:

Given

$\frac{3}{4}$ = $\frac{3}{8}$ x - $\frac{3}{2}$

Multiply through by 8 ( the LCM of 2, 4, 8 ) to clear the fractions

6 = 3x - 12 ( add 12 to both sides )

18 = 3x ( divide both sides by 3 )

6 = x , that is x = 6

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Step-by-step explanation:

Y-48=12(x-4)

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3 years ago

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3 years ago

f(x) = 500(1.05)x What was the average rate of change of the value of Sophia's investment from the second year to the fourth yea

hjlf

$\bf slope = {{ m}}= \cfrac{rise}{run} \implies 
\cfrac{{{ f(x_2)}}-{{ f(x_1)}}}{{{ x_2}}-{{ x_1}}}\impliedby 
\begin{array}{llll}
average\ rate\\
of\ change
\end{array}\\\\
-------------------------------\\\\
f(x)=500(1.05)^x \qquad 
\begin{cases}
x_1=2\\
x_2=4
\end{cases}\implies \cfrac{f(4)-f(2)}{4-2}
\\\\\\
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6 0

3 years ago

If Zach has 4 times as many dimes as quarters and they have a combined value of 455 cents, how many of each coins does he have?

aliya0001 [1]

<u>ANSWER: </u>

Zach has 28 dimes and 7 quarters.

<u>SOLUTION: </u>

Given, Zach has 4 times as many dimes as quarters

And they have a combined value of 455 cents,

We need to find how many of each coins does he have?

Let, the number of dimes be x and number of quarters be y.

Then, x = 4y → (1)

Total combined value = 455 cents

x(value of one dime) + y(value of one quarter) = 455 cents

x(10 cents) + x(25 cents) = 455 cents

10x + 25y = 455 → (2)

Now, substitute (1) in (2)

10(4y) + 25y = 455

40x + 25y = 455

65y = 455

y = 7

substitute y value in (1)

x = 4(7) = 28

Hence, zach has 28 dimes and 7 quarters.

4 0

3 years ago