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3 years ago

a 290 inch pipe is cut into two pieces one piece is four times the length of the other find the links of the two pieces

Mathematics

2 answers:

dmitriy555 [2]3 years ago

7 0

290=x+4x
290=5x
x=290/5
x=58 inch (the shortest piece)

290-58=232 inch (the longest piece)

Rainbow [258]3 years ago

4 0

I would set an equation up like this, where two pieces, one being 4 times as long as the other, are 290 inches together.

4x + x = 290

Now, simplify and solve:

5x = 290

x = 58

Now that we have x, we know the length of the smaller piece. The other piece, however, is 4x.

4x = 4(58) = 232

The lengths of the pieces are 58 and 232.

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The length of a rectangle is 5 more than the width. Find the length and width of a rectangle if the area of the rectangle is 36

harkovskaia [24]

Answer:

width = 4 in

length = 9 in

Step-by-step explanation:

To solve this problem, write an expression for the length and use the area of a rectangle formula.

The formula for area of a triangle is A = lw

"A" is the area.

"l" is the length.

"w" is the width.

"The length of a rectangle is 5 more than the width". It is represented in an expression:

l = w + 5 The width plus 5 is the length.

We also know the area is 36 in². Using information we know, replace variables in the formula for area of a rectangle.

Substitute l = w + 5 and A = 36

A = lw

36 = (w + 5)w Expand by multiplying w by the terms in the brackets.

36 = w² + 5w Since the equation is quadratic, make it equate to 0.

36 - 36 = w² + 5w - 36 Subtract 36 from both sides

0 = w² + 5w - 36 Factor this. Use group factoring, which is when you replace the middle term (5w) with two terms that add to make 5w, and multiply to get the last term (-36).

0 = w² + 9w - 4w - 36 9w times -4w is -36. They also add to get 5w.

0 = (w² + 9w) + (-4w - 36) Group the factors

0 = w(w + 9) + -4(w + 9) Take out the common factor in each group.

0 = w(w + 9) + -4(w + 9) Take out the new common factor binomial w+9

0 = (w + 9) (w - 4) Fully factored equation.

w + 9 = 0 w - 4 = 0 Set each binomial to equal 0.

w = -9 w = 4 Chose what makes sense to be the width.

The width cannot be a negative number, so the width is 4.

Since we know the width, we can find the length because the length is 5 more than the width.

l = w + 5

l = 4 + 5

l = 9 Length of the rectangle

Don't forget to include the units, inches.

Therefore the length is 9 inches and the width is 4 inches.

8 0

3 years ago

D=-0.5t + 7<br>I REALLY NEED HELP ASAP I WILL MARK BRAINLIEST TYTY

serg [7]

Answer:

7.5t

Step-by-step explanation:

6 0

2 years ago

Kelly and Greta are asked to write an equation for the scenario below. "One person was able to plant 4 trees in the same amount

Alina [70]

Answer:

$y=\dfrac{1}{4}x$

Kelly is correct.

Step-by-step explanation:

One person is able to plant 4 trees

Let x be the number of people

y be the number of trees

The situation is represented by

$1x=4y\\\Rightarrow y=\dfrac{1}{4}x$

5 people are able to plant 20 trees

$5x=5(4y)\\\Rightarrow 5x=20y\\\Rightarrow y=\dfrac{5x}{20}\\\Rightarrow y=\dfrac{1}{4}x$

So, the situation is represented by $y=\dfrac{1}{4}x$

Hence, Kelly is correct.

6 0

3 years ago

Read 2 more answers

Please help me out here, I’ve been reposting the same questions and have not seen people not answer mine. :( just please i will

anastassius [24]

Answer:

There are infinite solutions because they are the same equation

2D + 1G = 12

and

4D + 2G = 24 (divide by 2) 2D + G = 12

2D + 1G = 12 is the same as 2D + 1G = 12

3 0

3 years ago

Read 2 more answers

10 more than the quotient of a number and 8 is at least 12. - how would I write this in a "algebraic expression"?

Sonja [21]

X - the number
the quotient of the number and 8 = x/8
10 more than the quotient of the number and 8 = (x/8)+10
10 more than the quotient of the number and 8 is at least 12 = (x/8)+10≥12

$\frac{x}{8}+10 \geq 12$

4 0

3 years ago