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lutik1710 [3]
2 years ago
14

A 40-inch board is to be cut into three pieces so that the second piece is 3 times as long as the first piece and the third piec

e is 4 times as long as the first piece. If x
represents the length of the first piece, find the lengths of all three pieces.
What is the length of the first piece?
What is the length of the second piece?
What is the length of the third piece?
Mathematics
1 answer:
tiny-mole [99]2 years ago
8 0

Answer:

The first piece is 5 inches long, while the second is 15 inches and the third one is 20 inches.

Step-by-step explanation:

To determine the length of the 3 pieces, knowing that the total of the board is 40 inches, and that the second measures 3 times more than the first and the third measures 4 times more than the first, the following equation must be performed:

X + 3X + 4X = 40

8X = 40

X = 40/8

X = 5

Therefore, the first piece is 5 inches long, while the second is 15 inches and the third 20 inches.

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The volume of a prism with side lengths measured in millimeters is 20. How could this measurement be written? Check all that app
Katyanochek1 [597]

The unit measurement of the a volume in mm is mm³(millimetres cube.)

<h3>How to find volume ?</h3>

Volume is is defined as the space occupied within the boundaries. The objects are usually solid objects.

The volume of a 3 dimensional figure is the product of the base area and the height.

Therefore, the units of volume is measured in cubic units.

The volume of a prism with side lengths measured in millimetres is 20.

Therefore, the measurement can be represented as follows:

20 mm³

learn more on volume here: brainly.com/question/16310824

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2 years ago
Doune Punowing:
nataly862011 [7]

The length of pathway is 10 inches on map.

Step-by-step explanation:

Given,

Total distance = 350 miles

According to map,

1 inch = 35 miles

Let, x be the number of inches on map.

Therefore, using proportion;

Inch : mile :: inch : mile

1:35::x:350\\

Product of mean = Product of extreme

35*x=350*1\\35x=350\\

Dividing both sides by 35;

\frac{35x}{35}=\frac{350}{35}\\x=10

The length of pathway is 10 inches on map.

Keywords: Ratio, proportion

Learn more about proportions at:

  • brainly.com/question/5282516
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8 0
3 years ago
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Nonamiya [84]

Answer:

1.  1 < 8

2. 7 > -17

3. n-6 (N could be 7)

4. -4 x 3= -12

5. -5/5= -1 since the sign means greater than or equal to, that could be right.)

6. 3>Z (1) - 1

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2 years ago
Line l is a perpendicular bisector of line segment A C. It intersects line segment A C at point B. Line l also contains points D
N76 [4]

Answer:

First one is DC

Second one is AB.

Step-by-step explanation:

Just did them on edge.

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3 years ago
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Answer:

the order pairs show us how many feet the hot air balloon rises in a certain amount of seconds

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