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AnnyKZ [126]
3 years ago
9

Mom buys a rectangular rug with an area of LaTeX: 7\frac{1}{6}7 1 6 square meters. The length of the rug is LaTeX: 3\frac{1}{3}3

1 3 meters. What is the width of the rug?
Mathematics
1 answer:
Slav-nsk [51]3 years ago
5 0

Answer:

2 3/20 metres

Step-by-step explanation:

Area of the rug = Length × width

Given

Area = 7 1/6 metres = 43/6 m

Length = 3 1/3 metres = 10/3 m

Required

Width

From the formula

A = LW

W = A/L

Substitute the given values

W = 43/6÷10/3

W = 43/6×3/10

W = 43/2 ×1/10

W = 43/20

W = 2 3/20 m

Hence the width of the rug is 2 3/20 metres

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Solve the equation X/-2=5
Ipatiy [6.2K]

Answer:

\boxed {x = -10}

Step-by-step explanation:

Solve for the value of x:

\frac{x}{-2} = 5

-Multiply both sides by -2

x = 5 \times (-2)

\boxed {x = -10}

So, therefore, value of x is -10.

7 0
3 years ago
In a survey asking 1200 students what they did on winter vacation, the following results were found: 45% visited family and 270
guapka [62]
Hello!

a. You have to find 45% of 1,200. To find percents, change the % to a decimal and multiply

45% = 0.45

0.45 × 1,200 = 540

\framebox {540 students visited their family}

_________________________________________________________

b. You have to find 15% of 56. To find percents, change the % to a decimal and multiply.

15% = 0.15

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5 0
3 years ago
A ___________ is always a number where the units from two different quantities are combined to describe the result.
LekaFEV [45]

Answer:

Step-by-step explanation:All other quantities of physical objects can be expressed as combinations of these fundamental quantities. For example, density is volume per mass. It can be expressed as a combination of the fundamental quantities mass (M) and length (L), M/(L × L × L) = M/L3. Similarly, area is a function of length, L × L = L2.

3 0
3 years ago
the volume of a storage tub shaped like a rectangular prism is 24 ft cubed. The height of the top is 3 ft the width is W feet in
kondor19780726 [428]
<h2>Answer:</h2>

\boxed{W=2ft}

<h2>Step-by-step explanation:</h2>

A prism is a solid object having two identical bases, hence the same cross section along the length. Prism are called after the name of their base. On the other hand, a rectangular prism is a solid whose base is a rectangle.  Multiplying the three dimensions of a rectangular prism: length, width and height, gives us the volume of a prism:

V=L\times W\times H

From the statement of the problem we know:

V=24ft^3 \\ \\ H=3ft \\ \\ W=W \\ \\ L=W+2

So:

24=(W+2)(W)(3) \\ \\ 3W(W+2)=24 \\ \\ 3W^2+6W-24=0 \\ \\ From \ the \ Quadratic \ Formula: \\ \\ W_{12}=\frac{-b \pm \sqrt{b^2-4ac}}{2a} \\ \\ W_{12}=\frac{-6 \pm \sqrt{6^2-4(3)(-24)}}{2(3)} \\ \\ W_{1}=2 \\ \\ W_{2}=-4

Since we can't have negative distance, the only valid option is \boxed{W=2ft}

3 0
4 years ago
Write the following decimal number in its equivalent fraction form. Show all work for full credit.
svetoff [14.1K]

Answer:

8/9

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6 0
3 years ago
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