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rjkz [21]
3 years ago
9

Carlos is a member of a gym. He pays a monthly fee plus a per- visit fee. The equation y = 3x + 10 represents the monthly amount

Carlos pays for x visits.
if Carlos pays $85 in the last month how many times did he visit the gym?
Mathematics
1 answer:
IrinaK [193]3 years ago
7 0

Answer:

25 times

Step-by-step explanation:

To find how many times he visited, plug in 85 as y and solve for x:

y = 3x + 10

85 = 3x + 10

75 = 3x

25 = x

So, Carlos visited the gym 25 times

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Divya wants to rent a car to drive for the weekend. The rental company has a special that allows her to rent it for $200 for the
adelina 88 [10]

Answer:

200 + 0.07m \leq 230

A maximum of \approx 428 miles is the distance what Divya can travel.

Step-by-step explanation:

Given that:

Rent to be paid for the car in the weekend = $200

Charges to be paid per mile = $0.07

Total money available  with Divya = $230

To find:

The inequality as per her limitations and solution to the problem.

Solution:

Let the number of miles for which Divya can drive = m miles

Charges for one mile = $0.07

Charges for m miles = $0.07m

Total charges for renting and m miles = Rental charges + Operational charges

Total charges for renting and m miles = $200 + $0.07m

These are charges must be lesser than equal to the amount of money available with Divya.

Therefore, we can write:

200 + 0.07m \leq 230

Subtracting 200 from both the sides:

0.07m \leq 30

Dividing both sides with 0.07:

m \leq \dfrac{30}{0.07}\\m\leq 428.6

Therefore, a maximum of \approx 428 miles is the distance what Divya can travel.

8 0
3 years ago
I need help I will give you 10 points
KIM [24]

Answer:

k = - 2

Step-by-step explanation:

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Since both the lines are parallel, so slopes of lines g(x) and f(x) would be same.

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g(x) = - 1x + 2 [y = g(x)]

g(x) = - x + 2

Equation of line f(x)

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f(x) = - 1x + 4 [y = g(x)]

f(x) = - x + 4

It is given that:

g(x) = f(x) + k

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