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3 years ago

Marco paid $22.62 for 7.8 gallons of gas. What is the price of 1 gallon of gas

Mathematics

2 answers:

zaharov [31]3 years ago

7 0

Answer:

$2.90

Step-by-step explanation:

22.62/7.8=2.90

matrenka [14]3 years ago

5 0

The price of one gallon is $2.90

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PLEASE HELP ASAP!!!!

lina2011 [118]

<h3>Answer:</h3>

System

p + m = 10
0.8m = 0.4·10

Solution

p = m = 5 — 5 lb peanuts and 5 lb mixture

<h3>Step-by-step explanation:</h3>

(a) Generally, the equations of interest are one that models the total amount of mixture, and one that models the amount of one of the constituents (or the ratio of constituents). Here, there are two constituents and we are given the desired ratio, so three different equations are possible describing the constituents of the mix.

For the total amount of mix:

... p + m = 10

For the quantity of peanuts in the mix:

... p + 0.2m = 0.6·10

For the quantity of almonds in the mix:

... 0.8m = 0.4·10

For the ratio of peanuts to almonds:

... (p +0.2m)/(0.8m) = 0.60/0.40

Any two (2) of these four (4) equations will serve as a system of equations that can be used to solve for the desired quantities. I like the third one because it is a "one-step" equation.

So, your system of equations could be ...

p + m = 10
0.8m = 0.4·10

___

(b) Dividing the second equation by 0.8 gives

... m = 5

Using the first equation to find p, we have ...

... p + 5 = 10

... p = 5

5 lb of peanuts and 5 lb of mixture are required.

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Multiplying or dividing two related quantities by the same number is called; what?

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Jet001 [13]

When you first look at thius graph, you should notice two things immedietly.

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2. the y-intercept is -2 because that's where it is on the y-axis.

Now, you have been given two points, (2, 1) and (0, -2). You can put these two points into the slope formula, which is: m = $\frac{y2 - y1}{x2 - x1}$ $\frac{(-2) - 1}{0 - 2}$ = $\frac{3}{2}$ = 3/2.

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