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torisob [31]
3 years ago
7

A Gasoline pump delivers 4 2/5 gallons of gas per minute. How many minutes will it take to fill a gas tank that holds 16 and 1/2

gallons
Mathematics
1 answer:
skelet666 [1.2K]3 years ago
5 0

First lets put these numbers into improper fractions. 4 2/5 becomes 22/5 becomes we multiple the 4 by the denominator,5, and add to the dividend.

We do the same process with 16 1/2 and get 33/2.

We then need to set these equations so that they have the same base. In these case a common factor is 10.

We multiple our first equation by 2 and get 44/10, and then we multiple our second equation by 5 and get 165/10.


We then setup the equation (44/10)*x=165/10

We can multiple each side out by 10, leaving us 44x=165

Divide each side by 44, which leaves us with x=165/4

When you simiplify the problem we are left with x and our answer.


When done correctly you will find that it takes 3 3/4 minutes to fill a tank that holds 16 1/2 gallons.

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nlexa [21]

$ PS = \frac{4}{3} x

Solution:

Given PRQ is a triangle.

ST is a line parallel to RQ.

$PT = x, \ PQ = 3x,  \ SR=\frac{8}{3}x

TQ=PQ-PT

TQ=3x -x=2x

<u>Triangle proportionality theorem,</u>

<em>If a line parallel to one side of a triangle intersects the other two sides, then it divides the two sides proportionally.</em>

$\frac{PS}{SR} =\frac{PT}{TQ}

$\frac{PS}{\frac{8}{3} x} =\frac{x}{2x}

Do cross multiplication, we get

$ PS \times 2x=x \times \frac{8}{3} x

Divide by 2x on both sides, we get

$ PS = \frac{4}{3} x

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3 years ago
Patrick left an $8 tip on a $50 restaurant bill. What percent tip is that?
Gnoma [55]
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3 years ago
Inequalities for Y&gt;x+1
Alina [70]

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Step-by-step explanation:

6 0
3 years ago
Find sin s, sin r , cos s , and cos r
kupik [55]

Hi there! For this question, you need to know the ratio of sine and cosine.

  • sinA = opposite/hypotenuse
  • cosA = adjacent/hypotenuse

Define A = angle

opposite and adjacent side changes only if we focus on another angle.

From the picture, if we focus on angle S, the opposite would be 36. But if we focus on angle R (flip to make RT as base), see that the opposite would be 14.

Answer

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  • cosS = 14/42 = 1/3
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The bold one is simplest form while the non-bold is non-simplest.

Questions can be asked through comment.

Hope this helps, and Happy Learning ! :)

6 0
3 years ago
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Murrr4er [49]

Answer:

D.

Step-by-step explanation:

This is a perimeter question. All you have to do is add up all 4 sides together. In that case, it will be 2(3.5x - 7) + 2(x + 0.4). And we have our final answer!

7 0
4 years ago
Read 2 more answers
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