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Step2247 [10]
2 years ago
5

A board is 48 in long. It must be divided into 4 pieces of equal length, and each cut will cause a waste of 3/16 in. How long wi

ll each piece be after the cuts are made?
Mathematics
1 answer:
NISA [10]2 years ago
7 0

Answer:

12 pieces

Step-by-step explanation:

Total length of the board = 48 in

It must be divided into 4 pieces of equal length

This means, there will be 3 cut to have 4 pieces

Each cut will cause a waste of 3/16 in.

Total waste = 3 cut × 3/16 in

= (3*3)/16

= 9/16 in

Length of board remaining = Total length of the board - Total waste

= 48 - 9/16

= (768-9)/16

= 759/16 in

How long will each piece be after the cuts are made?

Length of each piece after the cut = Length of board remaining / 4

= 759/16 ÷ 4

= 759/16 × 1/4

= 759/64

= 11.859375

Approximately 12 pieces to the nearest whole number

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Simplify each expression.
lutik1710 [3]

Answer:

1. 80

2. 18.9

3. 7

4. 146

5. 2

6. 4

Step-by-step explanation:

1. 6+4=10

10×8=80

2. 3.6×4.5= 16.2

16.2+2.7= 18.9

3. 3+2=5

5×2= 10

17-10=7

4. 4×3=12^2

12×12=144

144+2= 146

5. 3+2=5

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6. 5×2= 10

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3 years ago
Write an equation for the proportional relationship shown in the table.
VladimirAG [237]

9514 1404 393

Answer:

  y = 38x

Step-by-step explanation:

The constant of proportionality (k) is the value of y when x=1. The table shows that to be 38. Then the equation is ...

  y = kx

  y = 38x

3 0
3 years ago
A recipe that makes 20 cookies calls for 2 cups of chocolate chips and 1 cup of chopped nuts. How many cups of chocolate chips a
dangina [55]

Answer:

8 cups of chocolate chips and 4 cups of chopped nuts

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Can you conclude from the figure that ABC is similar to DEF? Explain.​
pishuonlain [190]

Answer:

Yes, we can conclude that Triangle ABC is similar to triangle DEF because the measures of the 3 angles of both triangles are congruent.

Step-by-step explanation:

We have the measure of 2 angles from both triangles, and we know that triangles have 180°, so we can solve for the measure of the third angle for both triangles.

Triangle ABC:

Measure of angle A= 60°

Measure of angle C= 40°

Measure of angle B = 180°- (measure of angle A + measure of angle C) = 180° - (60° + 40°) = 80°

Triangle DEF

Measure of angle E= 80°

Measure of angle F= 40°

Measure of angle D= 180° - (measure of angle E + measure of angle F) = 180° - (80° + 40°) = 60°

The measures of the angles in Triangle ABC are: 60°, 40°, and 80°.

The measures of the angles in Triangle DEF are: 60°, 40°, and 80°.

Since the measure of 3 angles of the two triangles are the same, we know that the two triangles are similar.

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3. Ally has a piece of string that is 6 yards 2 feet long. How many inches of string does she have?​
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240 inches will be the correct answer.
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