Answer:
<h2> Amount in liters is 47.9 liters</h2>
Step-by-step explanation:
The Question is incomplete, it does not provide the measurements or options to choose from, but we can estimate the answer
Step one:
Given data
Taryn Bought 12.6gallons of gasoline
1 gallon of gasoline is 3.8 liters
We want to convert from gallons to liters
Step two:
----if 1 gallon has 3.8 liters
then 12.6 gallons will have x liters
cross multiply we have
x= 12.6*3.8
x=47.88 liters
Hence the estimated amount in liters is 47.9 liters
Answer:
- Solution of equation ( x ) = <u>7</u>
Step-by-step explanation:
In this question we have given with an equation that is <u>4</u><u> </u><u>(</u><u> </u><u>5</u><u>x</u><u> </u><u>-</u><u> </u><u>2</u><u> </u><u>)</u><u> </u><u>=</u><u> </u><u>2</u><u> </u><u>(</u><u> </u><u>9</u><u>x</u><u> </u><u>+</u><u> </u><u>3 </u><u>)</u><u>.</u> And we are asked to solve this equation that means we have to find the value of <u>x</u><u>.</u><u> </u>
<u>Solution</u><u> </u><u>:</u><u> </u><u>-</u>
<u>
</u>
<u>Step </u><u>1</u><u> </u><u>:</u> Removing parenthesis :

<u>Step </u><u>2</u><u> </u><u>:</u> Adding 8 from both sides :

On further calculations we get :

<u>Step </u><u>3 </u><u>:</u> Subtracting 18 from both sides :

On further calculations we get :

<u>Step </u><u>4</u><u> </u><u>:</u> Dividing with 2 on both sides :

On further calculations we get :

- <u>Therefore</u><u>,</u><u> </u><u>solution</u><u> </u><u>of </u><u>this </u><u>equation</u><u> </u><u>is </u><u>7</u><u> </u><u>or </u><u>we </u><u>can </u><u>say </u><u>that </u><u>value </u><u>of </u><u>this </u><u>equation</u><u> </u><u>is </u><u>7</u><u> </u><u>.</u>
<u>Verifying</u><u> </u><u>:</u><u> </u><u>-</u>
We are verifying our answer by substituting value of x in given equation. So ,
- 4 ( 5x - 2 ) = 2 ( 9x + 3 )
- 4 [ 5 ( 7 ) - 2 ] = 2 [ 9 ( 7 ) + 3 ]
- 4 ( 35 - 2 ) = 2 ( 63 + 3 )
<u>Therefore</u><u>,</u><u> </u><u>our </u><u>value</u><u> for</u><u> x</u><u> is</u><u> </u><u>correct </u><u>.</u>
<h2>
<u>#</u><u>K</u><u>e</u><u>e</u><u>p</u><u> </u><u>Learning</u></h2>
NO. The mirror will not fit in a space that is 15 inches by 16 inches
<em><u>Solution:</u></em>
Given that area of mirror is 225 square inches

Converting the above mixed fraction we get,

Let us find the length of mirror
The area of mirror is given as:
area of mirror = length x width
Substituting the given values,

Thus length of mirror is 16.36 inches
<em><u>Will the mirror fit in a space that is 15 inches by 16 inches?</u></em>
NO. The mirror will not fit in a space that is 15 inches by 16 inches
Because length of mirror is 16.36 inches whereas the given space is 15 inches long
16.36 > 15 so the length of mirror will not fit inside the space
Also width of mirror is
inches which is less than the given space whose width is 16 inches
13.75 < 16 so the width of mirror will not fit inside the space