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3 years ago

11

The length of a rectangular carpet is 4 feet greater than twice its width. If the area is 48 square feet, find the carpet’s leng

th and width.

1 answer:

Sonbull [250]3 years ago

5 0

l = 2w + 4

l * w = 48

We can substitute l with its value:

2w + 4 * w = 48

2w^2 + 4w - 48 = 0

2(w^2 + 2w - 24) = 0

2(w+6)(w-4) = 0

w = {4, -6}

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At a picnic there were 3 times as many adults as children and twice as many women as men. If there was a total of x men, women,

Dennis_Churaev [7]

Answer:

$\dfrac{x}{4}$

C is correct.

Step-by-step explanation:

At a picnic,

Number of adults is 3 times as number of children.

Number of women is twice as number of men.

Total number of men, women and children at the picnic be x

Let number of children be c

Let number of men be m

Let number of women be w

# Number of women is twice as number of men, w = 2m

# Number of adults is 3 times as number of children, w + m = 3c

2m + m = 3c (∴ w=2m )

c = m

Total number of men, women and children at the picnic be x

∵ c + m + w = x

m + m + 2m = x

4m = x

Number of men, $m=\dfrac{x}{4}$

Hence, The total number of men will be $\dfrac{x}{4}$

5 0

3 years ago

Hey hey hey. help pls

Firdavs [7]

Answer:

Emma spend 8 hours in homework in a week and Jared spends 16 hours in homework in 2 weeks.

Step-by-step explanation:

Two quantities P and Q are said to be in PROPORTION if and only if for all values of P and q, we get:

$\frac{P}{Q} = k$

Here, k : PROPORTIONALITY CONSTANT

Case: 1

5 hour piano practice in 1 week.

So, the piano practice in 2 weeks( 1 x 2) = 2 x 5 = 10 hours

But here, it is given to be 12 hours in 2 weeks.

Hence, NOT PROPORTIONAL.

Case 2:

70 words in 60 seconds.

So, the words typed in 210 seconds ( 60 x 3.5) = 70 x 3.5 = 240 words

But here, it is given to be 280 words in 210 seconds.

Hence, NOT PROPORTIONAL.

Case: 3

8 hour homework in 1 week.

So, the homework done in 2 weeks( 1 x 2) = 2 x 8 = 16 hours

It is given to be 16 hours in 2 weeks.

Hence, PROPORTIONAL.

Case: 4

15 miles in 78 minutes.

So, the distance covered in 102 minutes (78 x 1.3) = 15 x 1.3 = 19.6 miles

But here, it is given to be 17 miles in 102 minutes.

Hence, NOT PROPORTIONAL.

Case: 5

18 miles in 45 minutes.

So, the distance covered in 55 minutes (45 x 1.2) = 18 x 1.2 = 21.6 miles

But here, it is given to be 22 miles in 55 minutes.

Hence, NOT PROPORTIONAL.

Hence, the only proportional case is Emma spend 8 hours in homework in a week and Jared spends 16 hours in homework in 2 weeks.

6 0

3 years ago

Read 2 more answers

Help please n ty :P<br> sdhgfahedgewkgfzndb

Ugo [173]

Answer:

$y=-3.2\\\\y=-2.2\\\\y=-1.8$

Step-by-step explanation:

Insert the given x values for the given equation to find the corresponding y coordinate:

$y=0.2x-2$

$x:-6,-1,1$

Insert -6:

$y=0.2(-6)-2$

Simplify multiplication (when multiplying a negative and a positive, the result will always be negative):

$y=-1.2-2$

Simplify (when subtracting from a negative number, add the values, but keep the negative symbol):

$y=-3.2$

Insert -1:

$y=0.2(-1)-2\\\\y=-0.2-2\\\\y=-2.2$

Insert 1:

$y=0.2(1)-2\\\\y=0.2-2\\\\y=-1.8$

:Done

3 0

3 years ago

How do you work this out in confused?

Leokris [45]

I think you either need to double 35 or use a protractor. Hope this is helpful!

4 0

3 years ago

Read 2 more answers

5. Henry hit 3 more than half as many home runs as Jack hit last season. Henry hit a total of 8 home runs. a. Make Sense and Per

Evgesh-ka [11]

Answer:

a. $3+\frac{x}{2} =8$

b. x = 10

Step-by-step explanation:

a. The number of home runs hit by Jack last season = x

It is given that Henry hit 3 more than half as many home runs as Jack hit.

Half of the runs hit by Jack = $\frac{x}{2}$

3 more than half the runs = $3+\frac{x}{2}$

So, the number of home runs hit by Henry = $3+\frac{x}{2}$

But, it is given that Henry hit a total of 8 runs.

Therefore, $3+\frac{x}{2} =8$

b. $3+\frac{x}{2} =8$

Subtract 3 from both sides.

$\frac{x}{2} =8-3$

= 5

x = 5 × 2

= 10

Hence, Jack hit 10 runs in the last season.

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4 years ago