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Sonbull [250]
2 years ago
9

libon's new car can travel 45 miles on 1 gallon of of gas. at this rate how far can the car travel on 7 gallons

Mathematics
1 answer:
Setler [38]2 years ago
4 0

Answer:

315

Step-by-step explanation:

If one gallon of gas can give you 45 miles, than multiple 45 ( the miles ) times 7 (the gallons of gas) and you will have your answer :)

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Using a directrix of y = −3 and a focus of (2, 1), what quadratic function is created?
Lelechka [254]

Answer:

  y=\dfrac{1}{8}(x-2)^2-1

Step-by-step explanation:

The distance between the focus and the directrix is the vertical distance from the point to the line:

  1 -(-3) = 4

The vertex is half that distance between the point and the line, so is at x=2 and ...

  y = (-3 +1)/2 = -1

The vertical scale factor of the quadratic is 1/(4p) where p is the distance from vertex to focus. Here, that distance is 2, so the equation in vertex form is ...

  y = (1/(4·2))(x -2)² -1

  y = (1/8)(x -2)² -1

_____

<em>Check</em>

Any point on the parabola is equidistant from the focus and directrix. This is easily checked at the vertex, which is halfway between focus and directrix, and at the points having the same y-value as the focus. Those two points are (-2, 1) and (6, 1), both of which are 4 units from the focus and 4 units from the directrix.

5 0
2 years ago
How many 1/3 lb bags of trail mix can josh make from 5/6 lb of trail mix?
PSYCHO15rus [73]

the large bag is 5/6 lb, the smaller bags will be 1/3 lb, so it should be 5/6 ÷ 1/3

\bf \cfrac{5}{6}\div \cfrac{1}{3}\implies \cfrac{5}{\underset{2}{~~\begin{matrix} 6 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}}\cdot \cfrac{~~\begin{matrix} 3 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}{1}\implies \cfrac{5}{2}\implies 2\frac{1}{2}

5 0
3 years ago
Read 2 more answers
87g of sugar is needed to make 10 cakes. How much sugar is needed for 7 cakes?
nataly862011 [7]
87g divided by 10 = 8.7
8.7 times 7 = 60.9
60.9g of sugar is needed to make 7 cakes
Hope this helps! Feel free to thanks me, rate me 5/5 and make me brainliest!!!
7 0
3 years ago
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The data in the table compares x, the number of pages in a chapter, to y, the amount of time, in minutes, spent reading. The fun
ololo11 [35]
21
18=0.86x - 0.09     Put 18 as the y value and solve for x
18.09=0.86x           Add 0.09 on both sides.
21.03=x                  Then divide on both sides by 086

7 0
3 years ago
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Carol had a previous balance of $557.83 in her checking account. She deposited checks
g100num [7]

Answer:

x^2-4/7x-12/49=0

x= 6/7 and -2/7

Step-by-step explanation:

6 0
3 years ago
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