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vredina [299]
3 years ago
10

You are considering renting a car from two different rental companies. Proxy car rental company charges. $0.32 per mile plus an

$18 surcharge. YourPal rental company charges $0.36 per mile plus a $12 surcharge.
For what distance is the price the same for both companies?
Mathematics
1 answer:
mash [69]3 years ago
6 0
Let y = total charge for a car rental and x = miles driven
Proxy car equation: y = 0.32x + 18
YourPal equation: y = 0.36x + 12

Set equations right sides equal to each other... meaning their cost, y, are equal
0.32x + 18 = 0.36x + 12
18 = 0.04x + 12  (subtract 0.32x from both sides of the equation)
6 = 0.04x            (subtract 12 from both sides of the equation)
150 = x               (divide both sides of the equation by 0.04)
ANSWER: 150 miles
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xenn [34]

Answer:

\frac{1}{2} x +x = 2 (x-4)

Step-by-step explanation:

Suppose number is x

Following equation can be written from question statement

\frac{1}{2} x +x = 2 (x-4)

Simplifying it further

\frac{3}{2} x = 2x-8

\frac{3}{2} x -2x=-8

\frac{3x-4x}{2}= -8

-x= -16\\x=16

7 0
2 years ago
In Haley's favorite video game, players stack blocks to create buildings. Haley builds a fort shaped like a cube. Haley's fort h
Mama L [17]

Answer:

729 cubic meters

Step-by-step explanation:

Volume of cube is given by side^3

where side is length of the side

Given in the problem

side is 9 meters as length, width, and height of fort is 9 meters and it is in cube shape .

Thus,

volume of cube = 9^3 = 9*9*9 = 729

Thus, volume of Haley's fort is 729 cubic meters.

3 0
3 years ago
10
Mrrafil [7]

Answer:

£510

Step-by-step explanation:

Simple interest = (principal × rate × time) / 100

Principal = £1700

Rate = 10%

Time = 3 years

Simple interest = (principal × rate × time) / 100

= (1700 × 10 × 3) / 100

= 51,000/100

= 510

Simple interest = £510

7 0
3 years ago
Given: AE ≅ CE ; DE ≅ BE Prove: ABCD is a parallelogram. Parallelogram A B C D is shown. Diagonals are drawn from point A to poi
nikklg [1K]

Answer:

The proof is below

Step-by-step explanation:

Given a parallelogram ABCD. Diagonals AC and BD intersect at E. We have to prove that AE is congruent to CE and BE is congruent to DE i.e diagonals of a parallelogram bisect each other.

In ΔACD and ΔBEC

AD=BC              (∵Opposite sides of a parallelogram are equal)

∠DAC=∠BCE       (∵Alternate angles)

∠ADC=∠CBE        (∵Alternate angles)

By ASA rule, ΔACD≅ΔBEC

By CPCT(Corresponding Parts of Congruent triangles)

AE=EC and DE=EB

Hence, AE is conruent to CE and BE is congruent to DE

6 0
2 years ago
A garden table and a bench cost 649 combined. The garden table costs 51 less than the bench. What is the cost of the bench?
dalvyx [7]

Answer:

598

Step-by-step explanation:

garden table 51

the bench?

51+598

6 0
2 years ago
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