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yan [13]
3 years ago
9

A contract calls for the buyer to pay $165,000 for a house and one acre of land, plus $5,000 for each additional acre of land. T

he total acreage of the property is 4.3 acres. What is the total amount paid for the house and the land?
Mathematics
1 answer:
GaryK [48]3 years ago
6 0

Answer: $181,500

Step-by-step explanation:

If amount paid for house and one acre of land = 165,000

Then, additional acre of land is 4.3 acres- 1 acre of land purchased with the house = 3.3 acres of land

If additional acre goes for 5,000 per acre

1 acre = 5,000

3.3 acres = 5,000 x 3.3 = $16,500

Total amount paid for the land and the land

= cost of house and land + cost of additional 3.3 acres of land

= 165,000 + 16,500

= $181,500

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Rent-Me Rent-A-Car charges $25.00 per day plus $0.14 per mile to rent an economy car. Better Deal Rental Car charges $23.00 per
zalisa [80]

Answer:

The number of miles at which a car rented from either company cost the same amount is <u>50 miles</u>.

Step-by-step explanation:

Let x represents the number of miles at which a car rented from either company cost the same amount. Therefore, we can have the following equation:

RC = 25 + 0.14x ....................... (1)

BC = 23 + 0.18x ...................... (2)

Where;

RC = Total cost of Rent-Me Rent-A-Car

BC = Total cost of Better Deal Rental Car

The the cost of the two companies equal where RC = BC. Therefore, we equate equations (1) and (2) and solve for x as follows:

25 + 0.14x = 23 + 0.18x

25 - 23 = 0.18x - 0.14x

2 = 0.04x

x = 2 / 0.04

x = 50

Therefore, the number of miles at which a car rented from either company cost the same amount is <u>50 miles</u>.

<u>Note:</u>

This can be confirmed for equations (1) and (2) individually by substituting for x = 50 as follows:

For equation (1):

RC = 25 + 0.14(50)

RC = 25 + 7

RC = 32

For equation (2):

BC = 23 + 0.18(50)

BC = 23 + 9

BC = 32

Therefore, RC = BC = 32 confirms the answer.

3 0
3 years ago
How do you reduce 75/100?
Anestetic [448]
Find the greatest common factor and then divide each number by it. 

in this case the gcf for 75 and 100 is 25.

75 divided by 25 = 3
100 divided by 25 = 4

so 75/100 simplified = 3/4
4 0
3 years ago
Read 2 more answers
Please Help!
Bingel [31]
The tank is NOT filled with 8314.5 L of a liquid. I guess you meant <span>The tank is completely filled with 8314.5 grams of liquid." </span>
<span>(8314.5 g) / (230 L) = 36.15 g/L . Hope this helps!</span>
3 0
3 years ago
A student said thst the distance between (-5,7) and (3,7) is 2 units<br>is the student correct?
Usimov [2.4K]

No.


The distance is |-5 -3| = 8 units. (Y-coordinates are the same, so the distance is measured entirely in the x-direction. Distance is non-negative.)

3 0
3 years ago
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mr Goodwill [35]
Let 11x + 15y + 23 = 0 be equation (1)
And 7x - 2y - 20 = 0 be equation (2)

Multiply equation (1) by 2:
22x + 30y + 46 = 0

Multiply equation (2) by 15:
105x - 30y - 300 = 0

Add equations (1) and (2):
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x = 254/127
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Substitute x = 2 in equation (1) to find y:
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Therefore, x = 2 and y = -3.
7 0
3 years ago
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