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ANEK [815]
4 years ago
7

Two bike rental companies have different pricing systems. Company a charges a flat fee of $4 plus $2 per mile. Company b does no

t charge a flat fee but charges $2.80 per mile driven. At what distance do both companies charge the same amount?
Mathematics
1 answer:
EastWind [94]4 years ago
3 0

Answer:it will the take 5 mitutes

Step-by-step explanation:

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

Let y represent the cost of x miles when using company A.

Let z represent the cost of x miles when using company B.

Company A charges a flat fee of $4 plus $2 per mile. It means that

y = 4 + 2x

Company b does not charge a flat fee but charges $2.80 per mile driven. This means that

z = 2.8x

To determine the distance before both plans will be be the same, we would equate both equations. It becomes.

4 + 2x = 2.8x

2.8x - 2x = 4

0.8x = 4

x = 4/0.8 = 5

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A store has a 25\%25% off sale on coats. With this discount, the price of one coat is \$34.50$34.50. What is the original price
timama [110]

Answer:

$46

Step-by-step explanation:

A percent is a portion of 100. If  we receive 25% off then we pay 75% of the price. 100%-25%=75%. $34.50 is 75% of the original price. We find the new price through a proportion. A proportion is an equation where two ratios or fractions are equal. The ratios or fractions compare like quantities. For example, we will compare percent over percent to an equal ratio of $ to $.

\frac{75}{100} =\frac{34.50}{y}

I can now cross-multiply by multiplying numerator and denominator from each ratio.

75y=100(34.50)\\75y=3450

I now solve for y by dividing by 75.

\frac{75y}{75} =\frac{3450}{75} \\y= 46....

The original price was $46.


5 0
4 years ago
∠ABC and ∠DBC are complementary angles. If ∠ABC=6x+13 and ∠DBC=4x−3 what is the value of x?
Natalka [10]

Answer:

x = 8

Step-by-step explanation:

Complimentary angles are angles that add up to 90 degrees. If ABC and DBC are complimentary, then when added together, it equals 90 degrees.

ABC + DBC = 90

6x+13+4x−3 = 90

10x+10 = 90

10x = 80

x = 8

6 0
3 years ago
Which shows the numbers 1/10,0.9,3/10 in order from least to greatest
jonny [76]
1/10, 3/10, 0.9
Hope this Helps
6 0
3 years ago
Read 2 more answers
PLEASE PLEASE HELP! If ABC is congruent to DEF by side side side triangle congruence, then angle B is congruent to angle E by wh
anygoal [31]
I believe your answer would be D.) because the triangles were already proven to be congruent
6 0
4 years ago
X| 25 | 35 | 45 | 55 |
Yanka [14]
A graphing calculator can do a linear regression on these points very easily. The y-intercept is 107.

_____
If you want to do this by hand, you can use the 2-point form of the equation for a line, then evaluate for x=0.
.. y = (100 -102)/(35 -25)*(x -25) +102
.. y =-2/10*(0 -25) +102
.. y = 107

6 0
3 years ago
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