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liq [111]
2 years ago
14

A rug is shaped like a rectangle whose perimeter is 176 ft. The length is 7 times as long as the width. Find the length and the

width.
Mathematics
1 answer:
Step2247 [10]2 years ago
8 0
P = 2l + 2w; unde P = the perimeter of rug; l = the length; w = the width;
176 = 2l + 2w;
Then, l = 7w ;
_______________
176 = 2*7w + 2w;

176 = 14w + 2w;

176 = 16w;

w = 176÷16;

w = 11ft;

l = 7 * 11;

l = 77ft;
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Anit [1.1K]

Answer:

The answer for Factorization is (x+6)(x-2) = 0 or Solving for x is 2 and -6.

Step-by-step explanation:

x² - 12 = -4x

Factorisation :

x² + 4x - 12 = 0

x² - 2x + 6x - 12 = 0

x(x-2)x + 6(x-2) = 0

(x+6)(x-2) = 0

Solve for x :

(x+6)(x-2) = 0

x + 6 = 0

x = -6

x - 2 = 0

x = 2

3 0
3 years ago
Five sixths minus four twelfths
GalinKa [24]
5/6 - 4/12
Change 5/6 so it has a denominator of 12 by multiplying too and bottom by 2.
5/6= 10/12
Now do:
10/12-4/12= 6/12

6/12 can be simplified to 1/2

Answer is 1/2
6 0
3 years ago
The range of the data set is 32. If the largest number in the set is 50, what is the smallest number?
butalik [34]
Range is the difference beteeen the smallest and largest numbers in a set. Therefore, 50-32=18
6 0
3 years ago
3)
Komok [63]

Answer:

The other two angles are 75° and 125°.

Step-by-step explanation:

Let three angles are 2x, 3x and 5x.

The smallest angle is 50.

It means,

2x = 50

x = 25

So,

3x = 3(25) = 75°

5x = 5(25) = 125°

So, the other two angles are 75° and 125°.

5 0
3 years ago
Help with math homework pls! NO WRONG ANSWERS!!!
Masteriza [31]

We have been given the expression

\frac{a\cdot a \cdot a \cdot a \cdot a \cdot a }{a}

We have to write this expression in the form a^n

In order to write the given expression in this form, we can use some exponent property.

(1) x^a\cdot x^b= x^{a+b}\\\\(2)\frac{x^a}{x^b}=x^{a-b}

On using the property (1), we have

\frac{a\cdot a \cdot a \cdot a \cdot a \cdot a }{a}\\\\=\frac{a^{1+1+1+1+1+1}}{a}\\\\\frac{a^6}{a}

Now, on using the property (2), we get

\frac{a^6}{a}\\\\=a^{6-1}\\\\=a^5

Therefore, the simplified form of the given expression is

a^5

4 0
3 years ago
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