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GuDViN [60]
3 years ago
8

Over the weekend , Rachel and Morgan drove to Chicago to go shopping . Now theyre preparing to go home . Morgan needs gas for he

r jeep, which gets 21 miles per gallon for gas mileage . When she stops at the gas station, she already has 8 gallons of gas in her tank . She buys more gas for $1.75 per gallon. If Morgan spends $23 on gas , what is the total distance the girls could travel ? Round, if necessary, to the nearest tenth .
Mathematics
1 answer:
ycow [4]3 years ago
8 0
<span>You first have to take $23 and divide that by $1.75 to see how many gallons she got put in her jeep. Then after that you want to add that to that 8 gallons to get your total gallons. Now you want to take how ever many gallons there is and multiply that by 21. $23 / $1.75 = 13.14..... 13.14 + 8 = 21.14 21.14 * 21 = 443.94 443.94 = 444 miles So they girls could travel 444 miles. Hope this helped :)</span>
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There are a total of 100 balloons. If the ratio of yellow balloons to blue balloons is 8 to 12, how many of them are yellow
Ivanshal [37]
If you have 8 yellow balloons for every 12 blue balloons, then if you have 20 balloons in total, 8 out of 20 of those balloons will be yellow. Then you can set up this ratio:

\frac{8yellow}{20total} = \frac{Xyellow}{100total}

Then, you can use either cross multiplication or multiply the numerator and denominator by the same number to help solve for x. Personally, I prefer cross multiplication, so that's what I'll show you here:

\frac{8yellow}{20total} = \frac{Xyellow}{100total} \\ 8yellow*100total=20total*Xyellow

Finally, solve for x:

8yellow*100total=20total*Xyellow \\ 8*100=20*x \\ 800=20x \\ 800/20=20x/20 \\ x=40yellow

If you had 100 balloons, you will have 40 yellow balloons.

Hope this helps!!
6 0
3 years ago
The function f(x) = (x - 4)(x - 2) is shown.
agasfer [191]

Answer:

all real numbers greater than or equal to -1

Step-by-step explanation:

In order to solve this problem we need to know the vertex and the direction its pointing.

First we expand,

x^2-6x+8

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-(-6)/2(1) = 3

Now we plug 3 in the equation to get the y value,

(3)^2 - 6(3) + 8 = 9 - 18 + 8 = -1

The vertex is (3,-1)

We know the graph points up because x^2 is positive

The vertex is the lowest point, so we now know that -1 is the starting range and if the graph is pointing up, that means all values greater than -1.

This leads to our answer all real numbers greater than or equal to -1.

6 0
4 years ago
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Step-by-step explanation:

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3 0
3 years ago
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34kurt

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6 0
3 years ago
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Ronch [10]

Answer:

slope = 2

Step-by-step explanation:

Calculate the slope m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 8) and (x₂, y₂ ) = (- 4, 0)

m = \frac{0-8}{-4-0} = \frac{-8}{-4} = 2

6 0
3 years ago
Read 2 more answers
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