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notka56 [123]
3 years ago
9

Tom and his friend are driving to Tameka is taking the same 432-mile round trip as Tom to Louisville, but renting a car at a spe

cial rate of $99.99 with unlimited miles. If her car gets 35 mpg and cost of gasoline is $2.79, what will the rental, including gas, cost her?
Mathematics
1 answer:
Akimi4 [234]3 years ago
6 0

Answer: The correct answer is $ 134.42 for the gas and the rental.

Step-by-step explanation: The trip is 432 miles and Tameka's car gets 35 miles to the gallon. So we have to figure out how many gallons we would use for the entire trip by dividing 432 by 35= 12.34 gallons of gas.

We know gas is $2.79 a gallon so we multiply 2.79 (cost per gallon) x 12.34 ( our total gallons used) =$34.43 in gasoline.

The rental costs $99.99 so we add that cost and the cost of the gas $34.43= $134.42 the total cost of the rental and the gas.

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Solve the two step equations
disa [49]

Hello!

1) -3x - 4 = 23

-3x = 23 + 4

-3x = 27

x = 27 : (-3)

x = -9

2) x/2 - 12 = -4

x - 24 = -8

x = -8 + 24

x = 16

3) 6a + (-1) = 10

6a - 1 = 10

6a = 10 + 1

6a = 11

a = 11 : 6

a = 11/6

4) -(x + 2) = 12

x + 2 = -12

x = -12 - 2

x = -14

5) 7a + 12 = 10

7a = 10 - 12

7a = -2

a = -2 : 7

a = -2/7

6) -4(a + 2) = 12

a + 2 = -3

a = -3 - 2

a = -5

Good luck! :)

7 0
3 years ago
G(x)=-2x-9 what is g(-7)
matrenka [14]

Answer:

g(-7)=5

Step-by-step explanation:

-2(-7)-9

14-9=5

6 0
3 years ago
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Write an equation in point-slope form of the line that passes through the two given points. Use the first point to write the equ
a_sh-v [17]
Answer:
(-1,6)
Explanation:
use (y1-y2), (x1-x2)
5 0
2 years ago
An opera singer teaches singing classes to teens. She teaches 96 teens in all. One-third of her
STatiana [176]

Answer:

32

Step-by-step explanation:

1/3x96= 31.999

4 0
2 years ago
Read 2 more answers
A map has a scale of 1:5000000000 .
erastova [34]

Considering the definition of scale, you obtain:

  • the real length of the road is 500,000 km.
  • the real area of the farm is 300 hectares.

<h3>Definition of map</h3>

A map is the conventional graphical representation of a portion of the earth or another celestial body that shows the size and position of elements of the landscape according to the selected scale and projection. That is, a map is a representation of a place, at a size smaller than the actual size.

<h3>Definition of scale</h3>

The scale of a cartographic representation, or map scale (m), is the relationship of similarity between the real dimensions of the geographical space represented and those of its image on the map. In general, it is also defined as the ratio of the lengths of a linear element in the plane and its representation on the terrestrial reference surface.

That is, the scale of the map is defined as the proportionality relationship that exists between a distance measured on the ground and its corresponding measurement on the map.

<h3>Real length of the road</h3>

A map has a scale of 1:5000000000. This indicates that 1 unit on the map is equivalent to 5,000,000,000 in reality.

You know that the road on the map is 10 cm or 0.0001 km long (knowing that 1 km= 100,000 cm).

Then you can apply the following rule of three: if by definition of scale 1 km on the map is equivalent to 5,000,000,000 km in reality, 0.0001 km on the map is equivalent to how much distance in reality?

real length of the road=\frac{0.0001 kmx 5,000,000,000 km }{1 km}

<u><em>real length of the road= 500,000 km</em></u>

Finally, the real length of the road is 500,000 km.

<h3>Real area of the farm</h3>

You know that the area of a farm of the map is 6 cm square, 0.0006 m sr 0.00000006 hectares (knowing that 1 cm square= 0.0001 m square and 10,000 m square= 1 hectare).

Then you can apply the following rule of three: if by definition of scale 1 hectare on the map is equivalent to 5,000,000,000 hectares in reality, 0.00000006 hectares on the map is equivalent to how much area in reality?

real area of the farm=\frac{0.00000006 hectaresx 5,000,000,000 hectares }{1 hectare}

<u><em>real area of the farm= 300 hectares</em></u>

Finally, the real area of the farm is 300 hectares.

<h3>Summary</h3>

In summary, you get:

  • the real length of the road is 500,000 km.
  • the real area of the farm is 300 hectares.

Learn more about scale:

brainly.com/question/15394385

brainly.com/question/27928319

brainly.com/question/11001778

brainly.com/question/23134978

#SPJ1

7 0
1 year ago
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