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ss7ja [257]
2 years ago
8

The image below represents a 12 x 16 room with an 8 x 10 piece of linoleum centered in the room. The yellow and blue rectangles

extend the length of their respective sides. Where these two rectangles overlap, there is a green rectangle. In the paragraph box below, explain why the total colored area is 62 square feet.

Mathematics
2 answers:
n200080 [17]2 years ago
7 0
Since the rectangles are colored in, we can take the area of each color, then add them together. To find all the lengths and widths, subtract as needed: Since the center rectangle's length is 10 feet, subtract 10 from the length of the room which is 16 feet. Those 6 units must be divided in half to give 3 feet for the width of the blue rectangle. Similarly, subtract 8 from 12 and divide the 4 in half to give 2 feet for the width of the yellow rectangle. This also reveals the length and width of the green rectangle. The length is 3 and the width 2, so the area is found 3x2=6. The area of the blue rectangle is found 3x10=30. The area of the yellow rectangle is found 13x2=26. Add these areas up: 6+30+26 = 62 square feet.
Andrei [34K]2 years ago
3 0

Answer:for the people here to find out the area of the green rectangle the answer is 6

Step-by-step explanation:

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There were 567 people at a concert when a band started playing. After each song, only one-third of the people stayed to hear the
Solnce55 [7]
To write the function correctly, it is important to assign variables correctly and understand the situation of the problem clearly. For this, we let y the number of people and x as the number of songs played.

At x = 0   y = 567
at x = 1   y = 567 - 567(1/3)
at x = 2   y = 567 - 567(1/3)(1/3)
at x = 3   y = 567 - 567(1/3)(1/3)(1/3)

Therefore, the number of people left after x songs would be represented by the equation:

y = 567 - 567(1/3)x
y = 567 ( 1- x/3 )
7 0
2 years ago
Read 2 more answers
An element with mass 730 grams decays by 28.8% per minute. How much of the element is remaining after 10 minutes, to the nearest
trasher [3.6K]
\bf \qquad \textit{Amount for Exponential Decay}\\\\
A=P(1 - r)^t\qquad 
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{initial amount}\to &730\\
r=rate\to 28.8\%\to \frac{28.8}{100}\to &0.288\\
t=\textit{elapsed time}\to &10\\
\end{cases}
\\\\\\
A=730(1-0.288)^{10}\implies A=730(0.712)^{10}
6 0
2 years ago
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A manager records the number of hours, X, each employee works on his or her shift and develops the probability distribution belo
Reika [66]

Answer:

c. 2

Step-by-step explanation:

Given : X = No. of hours worked

           No. of people work for the manager = 50

           X = 3, 4 , 5 , 6 , 7, 8

           P(X) = 0.1 , ? , 0.14 , 0.3 , 0.36 , 0.06

To Find : No. of people work for four hours

Solution : First understand the fact that sum of all probabilities is equal to 1

So, sum of all values of P(X) = 1

⇒0.1+?+0.14+0.3+0.36+0.06 = 1

⇒0.96+? = 1

⇒?= 1-0.96

⇒? = 0.04

So, the probability of no. of people worked for 4 hours is 0.04.

⇒P(4)=0.04

Thus , To calculate no. of people work for four hours :

0.04\times 50

⇒ 2 no. of people work for four hours per shift .


5 0
2 years ago
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Miguel and his brother Ario are both standing 3 meters from one side of a 25-meter pool when they decide to race. Miguel offers
Westkost [7]

Answer:

Miguel start to swim when Ario has traveled 4.4 m.

Step-by-step explanation:

The total lenght of the pool is 25.

Since both of them standing 3 m from one side of the pool, then, the total distance both need to cover is 25-3 m= 22 m.

Assume that the distance traveled by Ario before Miguel start to swin is x. That means, the remaining distance to Ario (to cover the total size of the pool) is 22-x.

Then, in acoordance to the problem, the ratio between these two distances must be equal to 1/4.

That is,

\frac{x}{22-x}=\frac{1}{4} .

So, we need to obtain x from this equation. We must note that x\neq 22, otherwise we have a zero in the denominator.

So, we rearrange the equation,

4x=22-x (Multiplying both sides of equation by (4(22-x)).

Then, 5x=22.

Therefore, x=4.4 m.

3 0
2 years ago
What does 3ˣ + 4·3ˣ⁺¹ =<br> a. 13·3ˣ⁺¹<br> b. 5·3ˣ⁺¹<br> c. 5·3²ˣ⁺¹<br> d. 13·3ˣ
Crazy boy [7]

Answer:

D. 13*3^x

Step-by-step explanation:

3^x +4*3^x^+^1= \\3^x+4*3(3^x)=\\3^x(1+[4*3])=\\3^x(1+12)=\\3^x(13)=\\13*3^x

3 0
2 years ago
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