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11111nata11111 [884]
3 years ago
8

Jamaica is considering buying either a car which goes 25 miles on 1 gallon of gas, or a truck that goes 10 miles on a gallon of

gas. If gasoline costs $2.50 per gallon and Jamaica drives 1000 miles per month, how much less would it cost to drive the car each month than it would to drive the truck?
Mathematics
1 answer:
Ipatiy [6.2K]3 years ago
5 0

Answer: if he drives the car each month, he would spend $150 lesser than when he drives the truck.

Step-by-step explanation:

The car goes 25 miles on 1 gallon of gas. Jamaica drives 1000 miles per month, it means that the number of gallons of gas that he would use in a month is

1000/25 = 40 gallons of gas

If gasoline costs $2.50 per gallon and Jamaica chooses to buy a car, the cost of gas per month would be

2.5 × 40 = $100

The truck goes 10 miles on 1 gallon of gas. Jamaica drives 1000 miles per month, it means that the number of gallons of gas that he would use in a month is

1000/10 = 100 gallons of gas

If gasoline costs $2.50 per gallon and Jamaica chooses to buy a truck, the cost of gas per month would be

2.5 × 100 = $250

The difference between both costs is

250 - 100 = $150

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4 0
3 years ago
Convert the following equation into slope intercept form. 3x + 21y = 21 Stars
RideAnS [48]

Answer:

y = -(1/7)x + 1

Step-by-step explanation:

3x + 21y = 21 \\ 21y = 21 - 3x \\ y =  \frac{21 - 3x}{21}  \\ y = 1 -  \frac{1}{7} x \\ y =  -  \frac{1}{7} x + 1

6 0
3 years ago
Please help me with this
Drupady [299]
The answer is d   9,891


3 0
3 years ago
Pls help i really really need help on this. We just learned this but i can't remember it.
bulgar [2K]

Answer:

114 cm²

Step-by-step explanation:

Area of shaded region

= area of circle -area of square

\boxed{area \: of \: circle = \pi {r}^{2} }

Given that radius= 10cm, r= 10cm.

\boxed{area \: of \: square = side \:  \times side}

Let the length of a side of the square be x cm.

Applying Pythagoras Theorem,

10² +10²= x²

100 +100= x²

x²= 200

x =   \sqrt{200}

Area of square

= x²

= 200cm²

Area of shaded region

= 3.14(10²) -200

= 3.14(100) -200

= 314 -200

= 114 cm²

8 0
3 years ago
Find the sum of the geometric series 40 + 40(1.005) + 40(1.005)^2 + ⋯ + 40(1.005)^11.
KiRa [710]

Answer:

The sum is 493.4

Step-by-step explanation:

In order to find the value of the sum, you have to apply the geometric series formula, which is:

\sum_{i=1}^{n} ar^{i-1} = \frac{a(1-r^{n})}{1-r}

where i is the starting point, n is the number of terms, a is the first term and r is the common ratio.

The finite geometric series converges to the expression in the right side of the equation. Therefore, you don't need to calculate all the terms. You can use the expression directly.

In this case:

a=40

b= 1.005

n=12 (because the first term is 40 and the last term is 40(1.005)^11 )

Replacing in the formula:

\frac{a(1-r^{n})}{1-r} = \frac{40(1-1.005^{12})}{1-1.005}

Solving it:

The sum is 493.4

4 0
3 years ago
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