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Butoxors [25]
3 years ago
9

emily drives home from work in 30 minutes driving 60 miles per hour. If Emily need to get home 10 minutes earlier, how fast does

drive?
Mathematics
1 answer:
AlladinOne [14]3 years ago
8 0

The correct answer is 90 miles per hour

Explanation:

The first step to know how fast Emily needs to drive to get 10 minutes earlier is to determine the distance from her work to her home. This can be calculated by using the information provided (speed and time). The process is shown below:

speed = distance ÷ time

distance = speed x time

distance = 60 miles per hour x 0.5 (30 minutes represent 0.5 hours)

distance= 30 miles

Now, using the same formula let's calculate the speed for 20 minutes (30 minutes - 10 minutes earlier = 20 minutes)

speed = distance ÷ time

speed = 30 miles ÷ 0.333 (20 minutes represents 0.333 hours as 20 minutes is 1/3 of an hour)

speed= 90 miles per hour

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A company prices its tornado insurance using the following assumptions:
ziro4ka [17]

Answer:

.441320612

or

44.132%

Step-by-step explanation:

This is binomial

fewer than 3 is equal to p(0)+p(1)+p(2)

p(0)={19\choose0}*.15^0*(1-.15)^{19}=.045599448\\p(1)={19\choose1}*.15^1*(1-.15)^{18}=.152892268\\p(2)={19\choose2}*.15^2*(1-.15)^{17}=.242828896\\p(0)+p(1)+p(2)=.441320612

8 0
3 years ago
Helena wants to paint a box in the shape of a cube with sides that are 18 inches long. what is the surface area that Helena will
yan [13]

Answer:

1944 Inches Squared

Step-by-step explanation:

Surface area Formula for a Cube:

A = 6a^2

The "edge", which is also the side, is 18 inches.

a = 18

Solve the formula.

A= 6a^2 = 6(18)^2 = 6 * 18^2\\18^2 = 324\\324 * 6 = 1944\\A=1944

The cube's surface area should be 1944 square inches.

5 0
3 years ago
Someone help please:
frozen [14]

Answer:

The sharing cone holds about 9 times more popcorn than the skinny cone.

Step-by-step explanation:

Cone volume:

V = \frac{\pi r^{2}h}{3}

r is the radius and h is the inches.

Skinny-size cone:

Radius is r, height h. So

V_{sk} = \frac{\pi r^{2}h}{3}

Sharing size:

Radius is now 3r. So

V_{sh} = \frac{\pi (3r)^{2}h}{3} = \frac{9\pi r^{2}h}{3} = 3\pi r^{2}h

How many times more popcorn?

r = \frac{V_{sh}}{V_{sk}} = \frac{3\pi r^{2}h}{\frac{\pi r^{2}h}{3}} = \frac{3*3\pi r^{2}h}{\pi r^{2}h} = 9

The sharing cone holds about 9 times more popcorn than the skinny cone.

6 0
3 years ago
Please answer this is so urgent
kolezko [41]
The answer is 4565 / 63


Sorry this might be to late...
8 0
3 years ago
7x+2y=19<br> 7x+8y=13<br> Please solve it by Simultaneous method
elixir [45]

Answer:

y=-1

x=3

Step-by-step explanation:

7x+2y=19-----(1)

7x+8y=13------(2)

(1)-(2)

(7x+2y)-(7x+8y)=19-13

7x+2y-7x-8y=6

+2y-8y=6

-6y=6

y=-1

by substitute in (1)

7x+2*(-1)=19

7x-2=19

7x=19+2

7x=21

x=21/3

x=3

4 0
3 years ago
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