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spayn [35]
3 years ago
10

Why does the quotient of 8 ÷ 1 not change when we add a place value in the dividend and the divisor to make 80 ÷ 10?

Mathematics
1 answer:
Alex Ar [27]3 years ago
4 0

Answer:

Basically this is because division can be thought of as how many times does the divisor have to be multiplied in order to produce the dividend.

So you would need to multiply 1 8 times in order to produce the dividend,

Similarly, 10 goes into 80 8 times. The zeros are simply cancelled out in the division.

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A sphere has a diameter of 4(x + 3) centimeters and a surface area of 7847 square
faust18 [17]

Answer:

4

Step-by-step explanation:

6 0
3 years ago
Find the coordinates of the midpoint of the segment with the given endpoints.
aleksandr82 [10.1K]
The coordinates of the midpoint of AB is (4.5, -1.5)

We can find this by taking the average of each coordinate. The average of the x's (2 and 7) is 4.5, while the average of the y's (-4 and 1) is -1.5.

The coordinates of the midpoint of CD is (-5.5, 1)

We can find this by taking the average of the coordinates as we did in the first one. The average of the x's (-3 and -8) is -5.5, while the average of the y's (-2 and 4) is 1. 
6 0
3 years ago
Help help please!!
andrey2020 [161]

Answer:

1). y = -7/5x - 4

2). y = 1/5x - 5

Step-by-step explanation:

In this question, we have to write the slope-intercept form of the given information.

Slope intercept form is: y = mx + b

Our "m" value is our slope and our "b" value is our y-intercept.

With that knowledge, we can plug in our given information to the slope-intercept equation:

1) slope = -7/5, y-intercept = -4

Plug -7/5 to "m" and -4 to "b"

y = -7/5x - 4

2) slope = 1/5, y-intercept = -5

Plug 1/5 to "m" and -5 to "b"

y = 1/5x - 5

6 0
3 years ago
Michael jogs at 3 miles per hour and Jack runs at 4.5 miles per hour. If Michael starts at 2:00 pm and Jack starts on the same c
tresset_1 [31]

Answer:

It will take Jack 40 minutes to cover the same distance which Micheal covers in 60 minutes. Both will meet at 3 miles distance at 3 pm.

Step-by-step explanation:

Micheal  runs 3 miles in one hour or 60 minutes.

In one minute he runs 3/60= 1/20  or 0.05miles.

Jack runs 4.5 miles in one hour or 60 minutes.

In one minute he runs 4.5/60= 45/600= 9/120= 3/40  or 0.075 miles.

So Jack is 0.075/0.05 = 1.5 times faster than Micheal.

or Micheal is 1.5 times slower than Jack.

Jack starts from 2:20 pm and at 3 pm he will run 0.075(40 minutes)= 3miles

Micheal start at 2:00 pm and at 3 pm he will run 0.05(60 minutes)= 3 miles

So at 3 pm both will have covered equal distance= 3miles.

It will take Jack 40 minutes to cover the same distance which Micheal covers in 60 minutes. Both will meet at 3 miles distance at 3 pm.

3 0
3 years ago
Find the length of the third side. If necessary, round to the nearest<br> tenth.
koban [17]

Answer:

7.5

Step-by-step explanation:

Using pythagoras theorem

Sqrt(9^2-5^2)=7.483

6 0
3 years ago
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