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Travka [436]
2 years ago
15

A 56-foot piece of siding is cut into three pieces so that the second piece is twice as long as the first piece and the third pi

ece is four times as long as the first plece. If x
represents the length of the first plece, find the lengths of all three pieces.
The length of the first piece of siding is
long, the length of the second piece is
long, and the length of the third piece is
long.
Mathematics
1 answer:
ELEN [110]2 years ago
5 0

The lengths of the first, second and third piece are respectively 8 ft, 16 ft and 32 ft

<h3>How to solve Algebra word Problems?</h3>

Let the length of the first piece be x.

Let the length of the second piece be 2x

Let the length of the thrid piece be 4x

Since the total length of the piece is 56 ft, then we can say that;

x + 2x + 4x = 56

7x = 56

x = 56/7

x = 8 ft

Thus, length of first piece = 8 ft

Length of second piece = 2 * 8 = 16 ft

Length of third piece = 4 * 8 = 32 ft

Thus, the lengths of the first, second and third piece are respectively 8 ft, 16 ft and 32 ft

Read more about Algebra Word Problems at; brainly.com/question/13818690

#SPJ1

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ivolga24 [154]

Answer:

Step-by-step explanation:

If she only has $8, she can't spend more than that.  In other words, she can spend ≤$8.

If each ticket is $1.50 per ticket, the inequality that represents how many tickets she can buy if x represents the number of tickets, is

1.5x ≤ 8

6 0
3 years ago
A certain new type of business succeeds 60% of the time. Suppose that 3 such businesses open (where they do not compete with eac
ella [17]

Answer:

0.216

Step-by-step explanation:

Given that a certain new type of business succeeds 60% of the time.

3 such businesses   are tested for success.

Since these three businesses open (where they do not compete with each other, so it is reasonable to believe that their relative successes would be independent). we can say X no of successful businesses is Binomial

with p = 0.6 and n =3

Required probability

=The probability that all 3 businesses succeed is:

= P(X=3)\\= 0.6^3\\= 0.216

8 0
3 years ago
Can someone please help me find the value of x
Nadya [2.5K]

Answer:

its approximately 55 cos you subtract 13 from 92

Step-by-step explanation:

8 0
3 years ago
13+x+195=13(x+15)...
LUCKY_DIMON [66]
First, let's expand the right side.  Now our equation is

13+x+195=13x+195

Now, we gather all the terms with x in it on the left side, and the numbers without x on the right.  We get:

-12x=-13

And then we can make this

12x=13

We divide both sides by 12 to get x on its own, so x = 13/12 or 1.08
6 0
3 years ago
Read 2 more answers
a woman 1.65. tall stood 50m away from the foot of a tower,and observe that the angle of elevation of the top of the tower to be
ElenaW [278]

\sf\huge\underline{\star Solution:-}

\rightarrowLet the women's height be AE and distance between the women and tower be AC.

Also let the height of tower be BC.

\rightarrowNow, clearly it is forming a triangle.

So, in triangle ABC,

\rightarrow\sf{Tan50° \:= \: \frac{BC}{AC}}

\rightarrow\sf{1.19 \:= \: \frac{BC}{50}}

\rightarrow\sf{1.19 ×50\:= \: BC}

\rightarrow\sf{59.5m\:= \: BC}

\rightarrowHence, BC = 59.5m

So, BD(total height of the tower)\sf{ = \:BC+CD}

\sf{= \:59.5+1.65}

\sf{=\: 61.15m}

Therefore, total height of the tower =\sf\purple{ 61.15m.}

________________________________

Hope it helps you:)

5 0
2 years ago
Read 2 more answers
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