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Allisa [31]
2 years ago
5

a car gets 27 miles per gallon in the city and 35 miles per gallon on the highway. what range of miles can the car travel on 3 g

allons of gas​

Mathematics
1 answer:
Verdich [7]2 years ago
7 0
The answer is 81 < < 105

Explanation: Since the car gets 27 mpg in the city and gets 35 mpg on the highway, you can set it up in the inequality 27 < < 35 and this represents the range a car can drive for 1 gallon, so to find the range for 3 gallons, you multiply this inequality by 3.

27(3)<<35(3)
27(3)=81
35(3)=105

Then you can insert the numbers into the inequality to get 81<<105.
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What is the solution to the following equation?
Pachacha [2.7K]

Answer:

x = 4

Step-by-step explanation:

8x - 9 = 6x - 1

Bring variables to the left side, whereas numbers to the right.

8x - 6x = - 1 + 9

2x = 8

x = 8 / 2

x = 4

3 0
3 years ago
Give the following equations determine if the lines are parallel perpendicular or neither
GaryK [48]

In order to determine whether the equations are parallel, perpendicular, or neither, let's simply each equation into a slope-intercept form or basically, solve for y.

Let's start with the first equation.

\frac{6x-5y}{2}=x+1

Cross multiply both sides of the equation.

6x-5y=2(x+1)6x-5y=2x+2

Subtract 6x on both sides of the equation.

6x-5y-6x=2x+2-6x-5y=-4x+2

Divide both sides of the equation by -5.

-\frac{5y}{-5}=\frac{-4x}{-5}+\frac{2}{-5}y=\frac{4}{5}x-\frac{2}{5}

Therefore, the slope of the first equation is 4/5.

Let's now simplify the second equation.

-4y-x=4x+5

Add x on both sides of the equation.

-4y-x+x=4x+5+x-4y=5x+5

Divide both sides of the equation by -4.

\frac{-4y}{-4}=\frac{5x}{-4}+\frac{5}{-4}y=-\frac{5}{4}x-\frac{5}{4}

Therefore, the slope of the second equation is -5/4.

Since the slope of each equation is the negative reciprocal of each other, then the graph of the two equations is perpendicular to each other.

5 0
1 year ago
Y= -x^2+2x+1 <br>i need help understanding​
Eddi Din [679]

Answer:

Does not factor; domain = -∞<x<∞, range = f(x) ≤ 2.

Step-by-step explanation:

Assuming your end goal is to factor the polynomial

y=-x^{2} +2x+1

If we use the guess and check method we can see that there is no way to factor this polynomial.

However, if you are looking for a domain and range we can graph it on a graphing calculator. Just by looking at the graph, we can see that the domain is all real numbers, or -∞<x<∞, and the range is f(x) ≤ 2.

I hope this helped!

7 0
3 years ago
One month before the election, a poll of 630 randomly selected voters showed 54% planning to vote for a certain candidate. a wee
VikaD [51]

54% of 630 = 0.54 * 630 or approximately <u>340</u> of the 630 were planning to vote for the candidate.

51% of 1010 = 0.51 * 1010 or approximately <u>515</u> of the 1010 were planning to vote for the candidate.

This means that the voter support for this candidate increased.

7 0
3 years ago
<img src="https://tex.z-dn.net/?f=6%20-%205x%20%2B%206%20%3D%204" id="TexFormula1" title="6 - 5x + 6 = 4" alt="6 - 5x + 6 = 4" a
Elanso [62]

\bf 6-5x+6=4\implies -5x+12=4\implies \stackrel{\textit{adding 5x to both sides}}{12=4+5x}\\\\\\\stackrel{\textit{subtracting 4 to both}}{8=5x}\implies \cfrac{8}{5}=x\implies 1\frac{3}{5}=x

5 0
3 years ago
Read 2 more answers
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