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Olin [163]
3 years ago
11

Heather can complete two problems in ten minutes, and when she started she had three problems done. joel can complete three prob

lems in fifteen minutes, and when he started he had two problems done. if you include the number of problems that were complete when they started, when will they have completed between 30 and 50 problems? which inequality would you use to solve this problem, if x stands for the number of hours that have passed?
a.30 ≤ 24x + 5 ≤ 50
b.30 ≤ 5x + 5 ≤ 50
c.30 < 24x + 5 < 50
d.30 < 10x + 5 < 50
Mathematics
1 answer:
zzz [600]3 years ago
5 0
 heather can do 2 problems in 10 minutes....60 minutes in an hr
2/10 = x / 60...2 problems to 10 min = x problems to 60 min
10x = 120
x = 120/10
x = 12....so she can do 12 problems in 1 hr

Joel can complete 3 problems in 15 minutes...
3/15 = x / 60
15x = 180
x = 180/15
x = 12....so he can do 12 problems in 1 hr

so 24 problems can be done in 1 hr

Heather started with 3 problems done and Joel started with 2 problems done....added = 5 problems already done

and it is asking between 30 and 50 hrs.....so there is no equal sign in ur problem

ur answer is : 30 < 24x + 5 < 50 <==




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L is between M and N. If NL = 5x, LM = 3x, and NL = 15, find x.
Leona [35]

Answer:

x = 5

Step-by-step explanation:

Given that,

NL = 5x, LM = 3x, and NL = 15

L is between M and N.

To find,

The value of x.

Solution,

It is mentioned that, L is between M and N. So,

LM = LN

Put all the values,

3x = 15

⇒ x = 5

So, the value of x is equal to 5.

Reference,

brainly.com/question/19871240

6 0
3 years ago
An oil tank has to be drained for maintenance. The tank is shaped like a cylinder that is 3ft long with a diameter of 2.2 ft . S
Contact [7]

4 minutes 34 seconds will takes to empty the tank, if the starts completely full and oil drained at a rate of 2.5 ft^{3} per minute.

Step-by-step explanation:

              The given is,

                         Tank is shaped like a cylinder that is 3 ft long with a diameter of 2.2 ft.

                          Oil drained at a rate of 2.5 ft^{3} per minute.

Step:1

       Time taken to dry the oil tank is,

                           T   = \frac{Volume of oil}{Oil drain rate}  ....................................(1)

Step:2

      Volume of the oil is,

                           V = \pi  r^{2} h.................................................(2)

      Where, r - Radius of Cylinder

                             r = \frac{d}{2}

                             r = \frac{2.2}{2}

                             r = 1.1 ft

      From eqn (1),

                        V =  \pi × 1.1^{2} × 3

                           = 11.40398 ft^{3}

Step:3

     From equation (1)

                           = \frac{11.40398}{2.5}

                           = 4.56

                           = 4.56 minutes

                      T  = 4 minutes 34 seconds

Result:

      Time taken to dry the oil tank is 4 minutes 34 seconds, if a cylinder is 3 ft long with a diameter of 2.2 ft and oil is drained at a rate of 2.5ft^3 per minute.

4 0
3 years ago
Can someone help please it will help
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7 0
3 years ago
B - 1/4 = 3 1/2 find the variable and explain how to got the answer please thanks
Art [367]

Answer:

b - 1/4 = 3 1/2

Step-by-step explanation:

b - 1/4 = 3 1/2

b - 1/4 = (3 + 1/2)

4b = 15

b = 15/

4

= 3.75

6 0
3 years ago
A cube has a surface area of 216 inches squared. What is the area of one face of the cube?
lesya [120]

Answer:

6 inches

step-by-step explanation:

A=6a^2=6x6^2=216

5 0
3 years ago
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