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ValentinkaMS [17]
3 years ago
13

A ribbon is 12 3/8 feet long.Into how many 3/4-foot pieces can it be cut?

Mathematics
1 answer:
seraphim [82]3 years ago
6 0
12 3/8 ÷ 3/4

change the mixed fraction to improper....

99         3
__  ÷     __
8             4

now change the sign to a multiplication sign and flip 3/4.

99   4       396
__× __=  _____
8       3       24

396/24..... that changes to 16 22/24. Simplify it and it will be 16 11/12.
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In woodshop class, you must cut several pieces of wood to within 3/16 inch of the teacher's specifications. Let (s-x) represent
PIT_PIT [208]

Answer:

  (a) |s - x| ≤ 3/16

  (b) 4 15/16 ≤ x ≤ 5 5/16

Step-by-step explanation:

(a) The absolute value of the difference from spec must be no greater than than the allowed tolerance:

  |s - x| ≤ 3/16

__

(b) Put 5 1/8 for s in the above equation and solve.

  |5 1/8 - x| ≤ 3/16

  -3/16 ≤ 5 1/8 -x ≤ 3/16

  3/16 ≥ x -5 1/8 ≥ -3/16 . . . . multiply by -1 to get positive x

  5 5/16 ≥ x ≥ 4 15/16 . . . . . . add 5 1/8

Pieces may be between 4 15/16 and 5 5/16 inches in length.

4 0
2 years ago
Lin runs 5 laps around a track in 6 minutes.
Paladinen [302]

Answer:

25.2

Step-by-step explanation:

6/5 is 1.2, so it takes 1.2 minutes to run one lap.

This means 21 x 1.2 = the minutes it takes to run 21 laps around the track.

Therefore it takes 25.2 minutes to run around the track 21 times.

3 0
2 years ago
Which expression is equivalent to r to the 9th over r to the 3rd
alisha [4.7K]

Answer:

r^{6}

Step-by-step explanation:

To make this a bit easier to see, we'll expand that expression.

R to the 9th is just r times itself 9 times. R to the third is r times itself 3 times.

(excuse my bad formatting)

<u>The expression:</u>

<u>r • r • r • r • r • r • r • r • r • 1</u>

             r • r • r • 1

Remember, anything and everything has a coefficient or denominator of 1.

So, we can cancel 3 r's from the numerator and denominator.

<u>r • r • r • r • r • r • 1</u>

             1

Simplify....

\frac{1r^{6}}{1}

That just equals r^{6}.

3 0
2 years ago
A sphere with center A is shown. Which represents a tangent?<br> | WE
lana [24]

Answer:

<h2>The segment FE is a tangent of the sphere.</h2>

Step-by-step explanation:

Obseve the sphere in the image attached.

Notice that point A is the center of the sphere. GD is the diameter, which means AG and AD are radius.

On the other hand, remember that a tangent is a line that intersects the figure at only one point, otherwise, it would be a secant.

Therefore, segment BC is a secant and segment FE is tangent.

So, the right answer is segment FE.

4 0
2 years ago
5/8x - 11/2 = 3/4 <br> what does the x equal ?
Verizon [17]

Answer:

x=10

Step-by-step explanation:

5/8x - 11/2 = 3/4

Multiply each side by 8 to clear the fractions

8(5/8x - 11/2 = 3/4)

5x - 44 = 6

Add 44 to each side

5x-44+4= 6+4

5x= 50

Divide by 5

5x/5 = 50/5

x =10

6 0
2 years ago
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