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andreev551 [17]
3 years ago
15

Bob and sarah need to paint a fence. bob can paint the fence in 4 hours and sarah can paint the fence in 2.5 hours. if they work

together, how long will it take them to paint the fence?
Mathematics
1 answer:
zysi [14]3 years ago
7 0
If Bob can paint the fence in 4 hours, then in 1 hour he gets 1/4 of the fence painted.  If Sarah can paint the fence in 2.5 hours, then she gets 2/5 of the fence painted in one hour (1/2.5 = 2/5).  We add those amounts together and set them equal to 1/x, x being the the total time it will take them to paint the whole fence.  1/4 + 2/5 = 1/x.  Find a common denominator first, then add the left side together.  5/20 + 8/20 = 1/x.  13/20 = 1/x.  Cross-multiply to get 13x = 20 and x = 1.54 hours, just a bit over an hour and a half.
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Shuan rides his bike at a speed of 19 mph how far in miles is shuan travel in 25 minutes
irga5000 [103]

Answer:

7.92 miles   (aprox.)

Step-by-step explanation:

1 hour = 60 minutes

19mph = 19miles/hour = 19miles/60 minutes

Proportions:

19 miles ⇔ 60 minutes

W miles  ⇔ 25 minutes

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An escalator lifts people to the second floor of a building, 28 ft
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Answer:

  56 ft

Step-by-step explanation:

The geometry can be modeled by a right triangle with an unknown hypotenuse, and a side opposite the 30° angle that is 28 ft.

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  hypotenuse = (28 ft)/sin(30°) = 56 ft

The length of the escalator is 56 feet.

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3 years ago
A phone store employee earns a salary of $450 per week plus 10% comission on her weekly sales. A) What function rule models the
Gelneren [198K]

Answer:

A) E(w)=450+0.10w

B) $1200

Step-by-step explanation:

Let w represent employee's weekly sales and E(w) be total weekly earnings.

We have been given that a phone store employee earns a salary of $450 per week plus 10% commission on her weekly sales.

A) The total weekly earnings of employee would be weekly salary plus 10% of weekly sales.

10% of weekly sales, w, would be \frac{10}{100}*w=0.10w

E(w)=450+0.10w

Therefore, the function E(w)=450+0.10w models the employee's weekly earnings.

B) To find the weekly sales in the week, when employee earned $570, we will substitute E(w)=570 in our formula and solve for w as:

570=450+0.10w

570-450=450-450+0.10w

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0.10w=120

\frac{0.10w}{0.10}=\frac{120}{0.10}

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Therefore, the amount of employee's weekly sales was $1200.

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Answer:

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