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Tcecarenko [31]
3 years ago
5

The Thompson family is buying a car that can travel 70 miles on two gallons of gas. Assume that the distance traveled in miles y

varies directly with the amount of gas used x. This can be represented by y=35x. Graph the equation on the coordinate plane. How many miles does the car per gallon of gas?

Mathematics
1 answer:
artcher [175]3 years ago
6 0
70/2 = 35

The car gets 35 miles per gallons.

You can also find that out by looking at the slope of the equation. y = 35x. 35 is the slope here.

For your graph, plot the points:
(0,0)
(1,35)
(2,70)
(3,105)
(4,140)
(5,175)
(6,210)
(7,245)
(8,280)

And then draw a line through the points.

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2 years ago
Read 2 more answers
a geometric series where the first term is -12, the last term is -972, and each term after the first is triple the previous term
Luba_88 [7]

Answer:

the geometric series is a(n) = -12(3)^(n-1)

Step-by-step explanation:

"Triple" denotes multiplication by 3.  Thus, the common factor here is 3.

The general formula for a geometric series is a(n) = a(1)(r)^(n-1), where a(1) is the first term, r is the common ratio.

Here, we have a(n)= (-12)(3)^(n-1) = -972.

We need to solve this for n, which represents the last term.

The first step towards solving for n is to divide both sides by -12:

3^(n-1) = 81

To solve for n-1, rewrite 81 as 3^4.  Then we have:

3^(n-1) = 3^4, implying that (n-1) = 4 and that n = 5.

Then we know that it is the 5th term that equals -972.

In summary, the geometric series is a(n) = -12(3)^(n-1).

8 0
3 years ago
-5g - 2 + 5g + 6g -g
e-lub [12.9K]
Answer : -2 +5G
Hopefully this is right

4 0
2 years ago
Find the value expression <br> -6+15+15
ElenaW [278]

Answer:

24

Step-by-step explanation:

7 0
3 years ago
Please help me i cant get this i. honestly just need someone to give the answers for this lesson
Likurg_2 [28]
Area of the triangle = (1/2)*base* height = (1/2)*3*6 = 9 sm²
We have 4 triangles like this one ,
so area of 4 triangles  = 9*4 = 36 cm².
Area of the square = 3*3 = 9 cm²

Surface area here means area all triangles  + area of the square =36 +9 =
= 45 cm ²

Answer is 45 cm².

7 0
2 years ago
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