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Olegator [25]
3 years ago
13

To bike rental companies have different pricing systems company a charges a flat fee of four dollars +2 dollars per mile Company

B does not charge a flat fee but charges $2.80 per mile driven at what distance do both companies charge the same amount
Mathematics
1 answer:
lukranit [14]3 years ago
5 0

Answer: the charge would be the same after 5 miles

Step-by-step explanation:

Let x represent the distance at which both companies charge the same amount.

company A charges a flat fee of four dollars plus 2 dollars per mile. It means that the total charge for x miles would be

4 + 2x

Company B does not charge a flat fee but charges $2.80 per mile driven. It means that the total charge for x miles would be 2.8x.

For the charge to be the same, the number of miles would be

2.8x = 4 + 2x

2.8x - 2x = 4

0.8x = 4

x = 4/0.8

x = 5

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a certain triangle has a perimeter of 3067 mi. the shortest side measures 71 mi less than the middle side and the longest side m
UkoKoshka [18]

Answer:

The measure of the shortest side is 851 miles

Step-by-step explanation:

Let

x ----> the measure of the shortest side

y ---> the measure of the middle side

z ---> the measure of the longest side

we know that

The perimeter of triangle is equal to

P=x+y+z

P=3,067\ mi

so

3,067=x+y+z ----> equation A

the shortest side measures 71 mi less than the middle side

so

x=y-71 ----> equation B

the longest side measures 372 mi more the the middle side

so

z=y+372 ----> equation C

substitute equation B and equation C in equation A

3,067=(y-71)+y+(y+372)

solve for y

3,067=3y+301\\3y=2,766\\y=922

Find the value of x

x=y-71\\x=922-71\\x=851

therefore

The measure of the shortest side is 851 miles

6 0
3 years ago
Triangle DEF contains two congruent acute angles. The sum of the measures of the two congruent acute angles is greater than 90 d
lana66690 [7]
B. <span>She is correct. The remaining angle of the triangle measures less than 90 degrees.</span>
8 0
3 years ago
Read 2 more answers
4(2x - 5) + 15 = 11 Write the steps you will use to solve the equation and explain each step.
vagabundo [1.1K]
First, multiply 4*2x-4*-5= 8x-20.
Second, add 15 to 8x-20
Third, that would equal 8x-20+15=11 
Fourth, 15+-20= -5 
Fifth, 8x-5=11
Sixth, add +5 to -5 and +5 to 11= 8x=16 
Last, do 8x/8x and 16/8x 
The answer is x=2
6 0
3 years ago
Read 2 more answers
TWENTY TWO POINTS
serious [3.7K]

the outputs are 5 1 -2 2

{ -2,1,2,5}

Choice D

4 0
3 years ago
A plane can fly 520 miles in the same time as it takes a car to go 200 miles. If the car travels 80 mph slower than the plane, f
telo118 [61]

Answer: the speed of the plane is 130 mph

Step-by-step explanation:

Let x represent the speed of the plane. If the car travels 80 mph slower than the plane, then the speed of the car would be (x - 80) mph.

Time = Distance/speed

plane can fly 520 miles in the same time as it takes a car to go 200 miles. This means that the time it takes the plane to fly 520 miles is

520/x

Also, the time it takes the car to drive 200 miles is

200/(x - 80)

Since the time is the same, it means that

520/x = 200/(x - 80)

Cross multiplying, it becomes

520(x - 80) = 200 × x

520x - 41600 = 200x

520x - 200x = 41600

320x = 41600

x = 41600/320

x = 130 mph

8 0
4 years ago
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