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trapecia [35]
3 years ago
12

A stick 111 inches long is broken into two pieces, so that one piece is twice as long as the other. How long are the two pieces?

Mathematics
2 answers:
oksian1 [2.3K]3 years ago
8 0

<u>Answer</u>:

The length of the short part is 37 inches, and the length of the other part is 74 inches.

<u>Step-by-step explanation:</u>

Given:

Total length of the stick =  111 inches.

One piece is twice as long as the other.

To Find:

Length of the two pieces=?

Solution:

Let the length of one piece be n,

Then the other piece will be 2n.

Now, total length of stick = n + 2n

=>111 inches = 2n + n

=>111 = 3n

=>n =\frac{111}{3}

So, length of short path is 37 inches,

Then length of other part is

=> 2(n)

=>2(37)

=> 74 inches.

Hence, the length of the short part is 37 inches, and the length of the other part is 74 inches.

Makovka662 [10]3 years ago
3 0
Let’s say that the other one is described as X. So if one piece is twice as long as the other one, it’ll be 2x.

2x + X =111
3x = 111
3x divided by 3= 111 divided by 3
X= 37

So 2x = 2(37) = 74
X = 37

74
+ 37
————
111
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vitfil [10]

Answer:

5(m + 5) (m - 8)

Step-by-step explanation:

5m2- 15m- 200

Start by pulling 5 out.

5(m^2 - 3m - 40)

We consider all factors of 40  

1    40

2   20

4    10

5     8

Based on the middle term we know that 5   and 8 are our best option.

5(m     5) (m     8)

We know the signs have to be one + and one -  because a - * - = + and + * + = +

Since 5 - 8 would give us -3 we know that our answer is

5(m + 5) (m - 8)

3 0
3 years ago
A manufacturer of bolts has a​ quality-control policy that requires it to destroy any bolts that are more than 4 standard deviat
Doss [256]

Answer:

more than 15.40 cm and less than  14.60 cm

Step-by-step explanation:

A manufacturer of bolts has a quality control policy that requires it destroy any bolts that are more than 4 standard deviations from the mean.

mean length= 15 cm

standard deviation= 0.10 cm

4 standard deviation from mean= 15±(4×0.10)

therefore, bolts of length more than 15+0.4, and less than 15-0.4 will be destroyed

= 15.40 cm and 14.60 cm

4 0
3 years ago
HELP ME PLEASE!!!!!
katen-ka-za [31]

Answer: d≤69

Step-by-step explanation:

You would plug in all the values for d into the inequality

40(81) + 240 ≤ 3000

40(81) + 240 = 3000

3240+240=3000

3480=3000 false

40(75) + 240 ≤ 3000

40(75) + 240 = 3000

3000+240=3000

3240=3000 false

40(69) + 240 ≤ 3000

40(69) + 240 = 3000

2760+240=3000

3000=3000 true

You don't need to try the last one because you already found this one!

6 0
2 years ago
the radius of a cylindrical water tank is 6.5ft, and its height is 16ft what is the volume of the tank?​
dimulka [17.4K]

Answer:

Volume of cylindrical tank is 2122.64 cubed feet.

Step-by-step explanation:

It is given that:

Radius of cylindrical tank = 6.5 feet

Height of tank = 16 feet

Volume of tank = πr²h

Putting the values in the formula

Volume = 3.24 * (6.5)² * 16

Volume = 3.14 * 42.45 * 16

Volume = 2122.64 cubed feet.

Therefore,

Volume of cylindrical tank is 2122.64 cubed feet.

4 0
2 years ago
Diagonals of parallelograms<br><br> Solve for x
Lunna [17]

Diagonals bisect each other

\\ \bull\tt\longmapsto 2x+10=3x

\\ \bull\tt\longmapsto 3x-2x=10

\\ \bull\tt\longmapsto x=10

Option B

3 0
3 years ago
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