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AysviL [449]
3 years ago
6

A crew of highway workers paved 2/15 mile in 20 minutes. If they work at the same rate, what portion of a mile will they pave in

one hour
Mathematics
2 answers:
Roman55 [17]3 years ago
6 0
Since they work at a pace of 2/15, or .133, you would multiply that by 3, because there are three sections of 20 in a hour.that would be 6/15, which can be simplified to 2/5.
USPshnik [31]3 years ago
5 0
2 didved 15 times 2 see what you get that your anwers\

You might be interested in
Find the surface area of the cylinder to the nearest whole number. The figure is not drawn to
Anettt [7]

Answer:

correct option is 2187

Total surface area is  2,185.44  square inches.

lateral surface area is  640.56 square inches

Step-by-step explanation:

Given

radius of cylinder = 12 inches

height of cylinder = 17 inches

we will us value of pi as 3.14

surface area for cylinder consist of two part

1. lateral surface area which is gven by 2\pi rl

where r is radius of cylinder and l is height of cylinder

Thus, lateral surface area for given cylinder is

2\pi rl\\ =>2* 3.14*12*17\\=> 1281.12

Thus,  lateral surface area for given cylinder is  1281.12 square inches.

_________________________________

second part of surface area is area of two base (upper and lower) of cylinder.

area of base is given by area of circle \pi r^2

area \ of  \base = \pi r^2 = 3.14*12^2\\=>area \ of  \base =  3.14*144 = 452.16

This, area of base is for one base of cylinder

since there are 2 base

area of both base will be = 2* area of one base

                                      = 2*452.16 = 904.32.

Thus, area of base is 904.32 sq. in.

_______________________________________

Total surface area of cylinder = area of two base+ lateral surface area of cylinder = 1281.12 square inches + 904.32 square inches

                  = 2,185.44  square inches.

Thus, total surface area is  2,185.44  square inches.

lateral surface area is  640.56 square inches

but option which is closest to calculated value is  2187.

Thus, correct option is 2187

___________________________________________

Note: this problem can be directly solved using formula

total surface area for cylinder = 2\pi r^2 + 2\pi rl

5 0
3 years ago
Solve each system of equations by writing a new system that eliminates one of the variables.
Rufina [12.5K]

Answer:

x=33\\y=-41

Step-by-step explanation:

Let:

2x+y=25\hspace{5}(1)\\and\\4x+3y=9\hspace{5}(2)

We need to eliminate one of the variables, so let's use elimination method. First multiply (1) by 2

2*(1)\equiv\hspace{5}4x+2y=50

Now subtract (2) from 2*(1) in order to eliminate x:

2*(1)-(2)\\4x-4x+2y-3y=50-9\\-y=41

Solving for y:

Multiplying both sides by -1  

y=-41

Finally, replacing the value of y in (1)

2x-41=25

Solving for x:

add 41 to both sides:

2x=66

Multiply both sides by 1/2:

x=\frac{66}{2} =33

3 0
3 years ago
Rhonda had $300 to buy supplies for the animal shelter. She bought 8 bags of dog food and 11 leashes. Each bag of food cost $25.
Readme [11.4K]

Answer:

47.33

Step-by-step explanation:

Hey there! I'm happy to help!

We have 8 bags of dog food and each costs $25.19

8(25.19)=201.52

And we have 11 leashes each costing $4.65.

11(4.65)=51.15

We add these totals up.

201.52+51.15=252.67

We subtract this from 300 to see how much is left.

300-252.67=47.33

Rhonda had $47.33 left after her purchases.

Have a wonderful day! :D

3 0
3 years ago
One angle in a triangle has a measure of 87 degrees. What can you conclude about the other two angles?
Dominik [7]

Answer:

the sum of the other two angle is 93

Step-by-step explanation:

180-87=93

6 0
3 years ago
(0.3d-1.5)/3 1/3=0.84:7/15
Anika [276]

Answer:

  d = 25

Step-by-step explanation:

Perhaps you want to solve for d:

  (0.3d -1.5)/(3 1/3) = 0.84/(7/15)

Change the division by a fraction to multiplication by its inverse.

  (0.3d -1.5)·(3/10) = (0.84)·(15/7)

  0.09d -0.45 = 1.8 . . . . . . . . . . . . simplify

  d - 5 = 20 . . . . . . . . . . . . . . . . . . divide by 0.09

 d = 25 . . . . . . . . . . . . . . . . . . . . . add 5

_____

Grouping symbols help show what is being divided by what. Especially where mixed numbers are involved, parentheses help show that the number 3 1/3 is not supposed to be interpreted as the product of 3 and 1/3.

4 0
3 years ago
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