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KatRina [158]
3 years ago
9

The area of a rectangular carpet is 28 square feet. The length is three feet more then the width. Find the length and the width

of the carpet
Mathematics
2 answers:
Vanyuwa [196]3 years ago
8 0
Length: 7
Width: 4
Hope this helps!!
tigry1 [53]3 years ago
3 0

Answer:

Length = 7 ft and width = 4 ft

Step-by-step explanation:

It is given that, the area of a rectangular carpet is 28 square feet. The length is three feet more then the width.

<u>To find the length and width</u>

Let x be the width the length = x + 3

Area  of carpet = Length * Width

28 = (x + 3) * x

x² + 3x - 28 = 0

x² + 7x - 4x - 28 = 0

x(x + 7) -4(x + 7) = 0

(x + 7)(x - 4) = 0

x = -7 or x = 4

Therefore width = 4 ft then length = 4 + 3 = 7 ft

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how many servings are in a bag of trail mix that weighs 11 1/2 ounces and each serving of trail miix weighs 3/4 ounces
Mariulka [41]

let's firstly convert the mixed fraction to improper fraction, and then divide.

\bf \stackrel{mixed}{11\frac{1}{2}}\implies \cfrac{11\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{23}{2}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{23}{2}\div \cfrac{3}{4}\implies \cfrac{23}{2}\cdot \cfrac{4}{3}\implies \cfrac{23}{3}\cdot \cfrac{4}{2}\implies \cfrac{23}{3}\cdot 2\implies \cfrac{46}{3}\implies 15\frac{1}{3}

8 0
3 years ago
Write a real-world situation for 7.50y + 9
jok3333 [9.3K]

Answer:


Step-by-step explanation:

Say your going to a concert and parking is nine dollars and it cost 7.50 for every person in the car. Use y as the number of people in your car

5 0
3 years ago
A person places $37700 in an investment account earning an annual rate of 5%,
lorasvet [3.4K]

Answer:

8,229,437 cents

Step-by-step explanation:

Using the compound interest formula;

A = P(1+r)^n

Given

Principal invested = $37700

rate r = 5% = 0.05

Time t = 16years

Substitute into the formula

A = 37700(1+0.05)^16

A  = 37700(1.05)^16

A = 37700(2.1829)

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Hence the amount of money, to the  nearest cent, in the account after 16 years is 8,229,437 cents

4 0
2 years ago
In triangle NML, NL=NM, and the perimeter is 52 cm. A,B, and C are points of tangency to the circle. MC=6 cm. Find NL. Explain r
Natalka [10]
I hope this helps you

7 0
3 years ago
PLEASE HELP ME!
arlik [135]

Answer:

Angle: 22.5 deg, Complement: 67.5 deg, Supplement: 157.5 deg

Step-by-step explanation:

22.5 is 1/3 of 67.5

so compliment is 67.5.

Supplement is just adding another angle so I chose 7.

I did 22.5 x 7 = 157.5

Another example would be:

Angle: 10 deg, Complement: 30 (because 10 x 3), Supplement: 70 (because 10 x 7)

Hope this helps :)

5 0
3 years ago
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