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lawyer [7]
3 years ago
7

Jon’s car gets 35.5 miles per gallon in town he used 0.3 gallon to drive to a meeting in town how many miles did John drive

Mathematics
1 answer:
natta225 [31]3 years ago
4 0

Answer:

Step-by-step explanation:

Set this up as a ratio, since it's easiest to solve it this way.  Put your miles on the top of the ratio and gallons on the bottom:

\frac{m}{g} :\frac{35.5}{1}

This ratio says that Jon gets 35.5 miles per 1 gallon of gas.  We can use that ratio now, along with another, to solve for the number of miles he drove if he used .3 gallons of gas:

\frac{m}{g} :\frac{35.5}{1} =\frac{x}{.3}

Cross multiply to solve:

1x = 35.5(.3) so

x = 10.65 miles

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Answer:

The given lines are perpendicular.

Step-by-step explanation:

In the question, two lines are given as line 1 passes through (1,7) and (5,5). Whereas, line 2 passes through (-1,-3) and (1,1).

It is required to find the slope of given lines and figure out whether they are perpendicular, parallel or neither.

To solve this question, first find the slope of both lines. Check if their product is equal to -1, then they are perpendicular. If the slopes are equal the lines are parallel.

Step 1 of 2

Find the slope of first line.

$$\begin{aligned}m_{1} &=\frac{5-7}{5-1} \\m_{1} &=\frac{-2}{4} \\m_{1} &=-\frac{1}{2}\end{aligned}$$

Step 2 of 2

Find the slope of first line.

$$\begin{aligned}&m_{2}=\frac{1-(-3)}{1-(-1)} \\&m_{2}=\frac{4}{2} \\&m_{2}=2\end{aligned}$$

And

$$\begin{aligned}&m_{1} m_{2}=-\frac{1}{2}(2) \\&m_{1} m_{2}=-1\end{aligned}$$

Since, both slopes are reciprocal of each other.

Therefore, the lines are perpendicular.

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340 over 8 as a unit rate
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If f (x) = 5 x minus 25 and g (x) = one-fifth x + 5, which expression could be used to verify g(x) is the inverse of f(x)?
Vinil7 [7]

Answer:

The expression used to represent g(x) as inverse of f(x) is \frac{1}{5}(5x-25)+5

Option B is correct.

Step-by-step explanation:

We are given:

f(x)= 5x-25\\g(x)=\frac{1}{5}x+5

We need to find the expression that could be used to verify g(x) is the inverse of f(x).

We know that g(f(x))=x is inverse of function

So placing value of f(x) in g(x)

g(f(x))=\frac{1}{5}(5x-25)+5

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Option B is correct.

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