admin admin
At Martina's auto shop, it takes her 15 minutes to do an oil change and

At Martina's auto shop, it takes her 15 minutes to do an oil change and 18 minutes to do a tire change. Let x be the number of oil changes she does. Let y be the number of tire changes she does. Using the values and variables given, write an inequality describing how many oil changes and tire changes Martina can do in at most 3 hours ( 180 minutes).

2 months ago

Solution 1

Guest Guest #893
2 months ago
Hello!

You want to know how much she can do in 180 minutes

She can do an oil change in 15 minutes

She can do a tire change in 18 minutes

Based on this information you can make the inequality

15x + 18y \leq 180

The answer is 15x + 18y \leq 180

Hope this helps!

Solution 2

Guest Guest #894
2 months ago
15x + 18y ≤ 180 

It's at most 180 minutes so left side is 'less than or equal to 180'.

📚 Related Questions

Question
A survey of 1,000 people was done by New York Times. 80% of the people did not know the name of their representative in Congress. How many of the 1,000 people knew the name of the Congressman?
Solution 1
The answer is 20% of the 1000 people, as 100%-80%+20%. 1000 times 0.2 equals 200 people that knew the name.
Question
What is the exact area of a circle having the diameter of 6in A:9 pie B: 36pie C: 6 pi D: 3pie
Solution 1
Area of circle = pi r^2
r = 6/2 = 3
so
A = pi (3)^2 = 9pi

answer
A. 9 pi
Question
A pie takes 2/3 of an hour to bake if a pie is put into the oven at 7:30 at what time does it need to be taken out.
Solution 1
Convert hour to minutes:
2/3 hours = 2/3 x 60 = 40 mins

                   30 mins                    10 mins
   |-----------------------------|--------------------------------|
7.30                             8.00                               8.10

Answer: 8:10

Solution 2
You would have to take the pie out at 8:10, because 2/3 of an hour is 40 minutes. To make the addition of time easier break it up into bits, like for here you could say, 7:30 plus 30 minutes out of the 40 is 8:00 then you could just add the extra ten minutes afterwords!
Hope this helps, have a good day!

Question
A rectangular pentagon has an apothem of
Solution 1
3.2m and an area of 37.2 m2.
Hope this helped a little.
Question
Simplify (2x + 3)(x – 4) = ?
Solution 1
Solutions

1) Equation
⇒ (2x+3)(x−4)

⇒(2x+3)(x+−4)
⇒(2x)(x)+(2x)(−4)+(3)(x)+(3)(−4)
⇒2  x^{2}  −8x+3x−12
⇒2  x^{2}  −5x−12

Answer - 2  x^{2}  −5x−12

Question
How much does your employer pay into the Social Security system on your behalf? A - 4.2 percent B - 8.4 percent C - 6.2 percent D - 12.4 percent
Solution 1
Workers pay an average of 6.2 percent which is 127,000 a year. But employers pay a matching amount for a combined contribution of 12.4 percent of earnings.

Meaning you are either getting 6.2 percent for being a WORKER.
or getting 12.4 percent for being a EMPLOYER.

In this question you are looking for employer so the answer is 12.4
 
Solution 2

Answer:

In this question you are looking for employer so the answer is 12.4

Question
Find the fifth term of the arithmetic sequence in which t1 = 3 and tn = tn-1 + 4. A) 5 B) 7 C) 19 D) 23 2) Find the tenth term of the arithmetic sequence in which t1 = 2 and t4 = -10. A) -10 B) -34 C) -38 D) -106 3) Find the fifth term of the geometric sequence in which t1 = 3 and tn = 2tn-1. A) 5 B) 6 C) 48 D) 96
Solution 1
We know that

Part a) Find the fifth term of the arithmetic sequence in which t1 = 3 and tn = tn-1 + 4
t1=3
t2=t1+4----> 3+4-----> 7
t3=t2+4-----> 7+4----> 11
t4=t3+4-----> 11+4---> 15
t5=t4+4-----> 15+4---> 19

the answer Part a) is 19

Part b) Find the tenth term of the arithmetic sequence in which t1 = 2 and t4 = -10

we know that 
tn=t1+(n-1)*d-----> d=[tn-t1]/(n-1)
t1=2
t4=-10
n=4
find the value of d
d=[-10-2]/(4-1)-----> d=-12/3----> d=-4
find the tenth term (t10)
t10=t1+(10-1)*(-4)----> t10=2+9*(-4)----> t10=-34

the answer Part b) is -34

Part c) Find the fifth term of the geometric sequence in which t1 = 3 and tn = 2tn-1
t1=3
t2=2*t1----> 2*3----> 6
t3=2*t2----> 2*6----> 12
t4=2*t3-----> 2*12---> 24
t2=2*t4----> 2*24----> 48

the answer Part c) is 48
Question
You pick a card at random. Without putting the first card back, you pick a second card at random. [1] [2] [3] What is P(3, greater than 2)? Write your answer as a percentage.
Solution 1
Probability of first getting a  3 = 4/52 = 1/13
The p(getting >2)  =   probability of getting  one of the remaining 3's or 40 other cards ( Im taking the aces to be low value)  = 43/51

Required probability = 1/13 * 43/51 =  43/663

If aces are counted high it will be 1/13 *  47/51 =   47/531

=  
Question
Kristin decides to spend at most $50 for a birthday dinner at a restaurant, including a 15% tip., Write an inequality in one variable to represent this situation. What is the most that her meal can cost before a tip?
Solution 1
Let
x------------> a birthday dinner at a restaurant, including a 15% tip.

we know that

Kristin decides to spend at most $50
so
x <= $50

the answer part a) is
x <= 50

Part b) What is the most that her meal can cost before a tip?

the tip is 15%
so
cost after tip=1.15*cost before a tip
cost before a tip=cost after tip/1.15
50/1.15-------> $43.48

the answer part b) is 
$43.48
Question
What is compound interest? A - the interest earned on the principal of an investment B - the interest earned on both the principal and interest of an investment or savings account C - the interest earned on a mutual fund D - the interest earned on a loan
Solution 1
That would be B .  The interest  is earned on the principal and interest earned previously.
Solution 2

The correct answer is

The interest  is earned on the principal and interest earned previously

:)

📂 Subjects

Mathematics 2647929
History 842281
English 748681
Biology 586256
Social Studies 406852
Chemistry 368373
Business 348603
Physics 324927
Health 199835
Spanish 130075
Geography 112100
Computers and Technology 106146
Arts 77164
Advanced Placement (AP) 23675
World Languages 23213
French 22589
Engineering 19607
Law 17108
Medicine 13966
SAT 10987
German 3389

🔢 Grades

High School 3423409
Middle School 2092250
College 1518097