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Phoenix [80]
2 years ago
6

Solve the following proportion by cross multiplying: x / 8 = 28 / 32

Mathematics
2 answers:
AveGali [126]2 years ago
6 0
Since it is an equality that means the left side of the equation (x/8) has to be equal to the right side of the equation (28/32). One way you can solve for x is to isolate it. Since it’s an equality like we said you have to do to the left side the same that you would do to the right side to isolate x. So if I multiply by 8 on the left I need to also multiply by 8 on the right. So 8* (x/8) becomes just x since 8x/8 becomes 8/8 * x which is 1 *x. On the right side we do 8 *(28/32) which becomes 28 * 8/32 which becomes 7. So x = 7.
vova2212 [387]2 years ago
4 0

Answer:  x = 7

Step-by-step explanation:

\frac{x}{8} =\frac{28}{32}

We cross multiply, and we get:

32x = 8(28)

32x = 224

    x = 7

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Which equation best represents the line of best fit for the scatterplot?
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<u>Step 1:  Combine</u>

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What is the solution to the equation below? Round your answer to two decimal places? (apex) 5+8*In x=15.8
Sliva [168]

Option A : $x=3.86$ is the solution of the equation.

Explanation:

The equation is $5+8 \ln x=15.8$

To determine the value of x, let us simplify the equation.

Subtracting 5 from both sides of the equation, we have,

$5+\ 8  \ ln \ x-5=15.8-5$

Simplifying, we get,

8 \ ln \ x= 10.8

Now , dividing both sides of the equation by 8, we get,

$\ ln \ x=1.35$

Using the logarithmic definition that if $\log _{a}(b)=c$ then $b=a^{c}$

Thus, rewriting the above expression $\ ln \ x=1.35$ using the logarithmic definition, we have,

$\ln \ x =1.35$ ⇒ $x=e^{1.35}$

Substituting the value of e^{1.35}$=3.85742... , we get,

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Rounding off the answer to two decimal places, we get,

$x=3.86$

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Therefore, Option A is the correct answer.

8 0
3 years ago
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