What is the answer to this equation- 3(4x-1)+7=10+8

Mathematics

2 answers:

kakasveta [241]4 years ago

8 0

Answer:

12x

Step-by-step explanation:

weqwewe [10]4 years ago

4 0

Answer:

11/6 in fraction form or 1.83 in decimal form

Step-by-step explanation:

distribute...

3(4x-1)= 12x-3

put back together...

12x-3+7=10+8

simplify...

12x-4=18

add four to both sides (remember we are trying to isolate x)

12x=22

divide both sides by 12 to isolate x

x=11/6 in fraction form or approximately 1.83 in decimal form.

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Micah places a mirror on the ground 24 feet from the base of a tree. He walks

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The height of tree is 8 feet

<h3><u>Solution:</u></h3>

Given, Micah places a mirror on the ground 24 feet from the base of a tree

At that point, Micah's eyes are 6 feet above the ground

And he is 9 feet from the image in the mirror.

To find : height of tree = ?

Let "n" be the height of tree

From the question, we can see there is a directly proportional relationship between heights and distances.

Proportional relationships are relationships between two variables where their ratios are equivalent.

$\frac{\text { height of micah eyes above ground }}{\text { distance of micah from mirror }}=\frac{\text { height of tree above the ground }}{\text { distance of tree from mirror }}$

$\begin{array}{l}{\frac{6 \text { feet }}{9 \text { feet }}=\frac{n \text { feet }}{24 \text { feet }}} \\\\ {\frac{6}{9}=\frac{n}{24}} \\\\ {\text { n }=\frac{1}{3} \times 24} \\\\ {\text { n }=8}\end{array}$