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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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an angles measure is 6 degrees more than 3 times the measure of its complwment. find the measure of the angles.
irina1246 [14]

Answer:

The angles are 22.5 and 67.5.

Step-by-step explanation:

A complement is the angle that when added to the given angle gives 90 degrees.

Therefore, the angle x is 3 times larger than its complement.

This means that x is 3/4 of 90 degrees and complement is 1/4 of 90 degrees.

Therefore, the angles are 22.5 and 67.5.

3 0
2 years ago
What is the solution of x+8/5x-1>0?
DerKrebs [107]

Answer:

x<-8 or x>1/5

Step-by-step explanation:

\frac{x+8}{5x-1} >0

First we replace > symbol by = sign

\frac{x+8}{5x-1} =0

To solve for x we multiply 5x-1 on both sides

x+8 =0

x=-8

5x-1=0 solve for x

x= 1/5

WE got two values x=-8  and x= 1/5

Now we make a number line and check with each interval

x<-8,  -8<x<1/5,  x>1/5

Pick x= -9 and check with the given inequality

\frac{-9+8}{5(-9)-1} >0

1/46 >0 is true, so x<-8 satisfies our inequality

Pick x= 0 and check with the given inequality

\frac{0+8}{5(0)-1} >0

-8 >0 is false , -8<x<1/5 does not satifies our inequality

Pick x= 2 and check with the given inequality

\frac{2+8}{5(2)-1} >0

10/9>0 is true , x>1/5  satisfies our inequality

3 0
3 years ago
Read 2 more answers
How much is 109 divided by 5?
butalik [34]
There's more than one way to do this problem.

Try this:  Mult. both 109 and 5 by 2, obtaining 218 and 10.

What is 218 div. by 10?  Do this in your head.
6 0
3 years ago
What is the area of this tile 4in 1in
nikitadnepr [17]

Answer:

4 in

Step-by-step explanation:

bc

area is inside you have to multiply

4 times 1 is 4

4 0
3 years ago
Need help on this asap!! Also Thank you in advance!!
sattari [20]

Answer:

31.96 centimeter is the answer

5 0
2 years ago
Read 2 more answers
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