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swat32
2 years ago
10

An area rug has an area of 48 square feet.Two similar rugs have areas of 108 square feet and 192 square feet. In each rug, the l

ength is 1 1/3 times the width. Which of the following could be the dimensions of one of the area rugs?
Mathematics
1 answer:
Svetllana [295]2 years ago
4 0
For area A, the width will be √(3A/4), so for the three rugs, the widths are 6 ft, 9 ft, 12 ft. Corresponding lengths are 4/3 times that, so are 8 ft, 12 ft, 16 ft.

The rug dimensions are
.. 6 ft x 8 ft
.. 9 ft x 12 ft
.. 12 ft x 16 ft

Pick the one(s) that are on your list.
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Mr.willer wanted to donate 27cans of food to each of 8 food banks.Each of the 23 students in Mr.willers class donated 9 cans . H
Degger [83]
Mr.willer needs 216 cans because 27 vans times 8 banks equals 216 and 23 times 9 equals 207 so he would need 9 more cans
5 0
3 years ago
ULT ma<br> 4. Write an expression, then evaluate.<br> a. 1/4of the sum of 18 and 6
OlgaM077 [116]

Answer: Required expression: \dfrac14\times(18+16)

Result: \dfrac{17}{2}

Step-by-step explanation:

Given phrase:  " \dfrac14\text{ of the sum of } 18\text{ and }6. "

Required expression: \dfrac14\times(18+16)    ['+' used to express sum, 'x' used in place of 'of']

Since 18+16 = 34

Then,

\dfrac14\times(18+16)=\dfrac14\times34  \\\\=\dfrac{1}{2}\times17\ \ \text{[Divide numerator and denominator by 2]}\\\\=\dfrac{17}{2}

Hence,     \dfrac14\times(18+16)=\dfrac{17}{2}.  

8 0
3 years ago
Find an equation of the line passing through the given points (1,-3) and (3,3)
chubhunter [2.5K]

ANSWER: y= 3x - 6

STEP-BY-STEP EXPLANATION:

(1,-3) and (3,3)

X1=1           X2=3

Y1= - 3       Y2=3

1) Find the slope of the line.

To find the slope of the line passing through these two points we need to use the slope  formula:

m = \frac{Y2-Y1}{X2-X1}

m= \frac{3-(-3)}{3-1}   m=\frac{6}{2} = 3

2)Use the slope to find the y-intercept.

Now that we know the slope of the line is 3 we can plug the slope into the equation and  we get:

y= 3x+b

Next choose one of the two point to plug in for the values of x and y. It does not matter  which one of the two points you choose because you should get the same answer in either  case. I generally just choose the first point listed so I don’t have to worry about which  one I should choose.

y= 3x+b       point (1,-3)

-3= 3(1) + b

-3-3=b

-6=b

3)Write the answer.

Using the slope of 3 and the y-intercept of -6 the answer is:

y = 3x - 6

6 0
3 years ago
A dog is leashed to the corner of a house with an 18 foot leash. How much running area does the dog have?
Natasha_Volkova [10]
Find the area of 32 then you get it :)
5 0
3 years ago
Read 2 more answers
Find the slope and reduce P=(-2,3) Q=(8,3)
Tanya [424]

Answer:

∆y/∆x=y2-y1/x2-x1

=3-3/(-2+3)

=0/1

=o I.e it is undefine

7 0
3 years ago
Read 2 more answers
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