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2 years ago

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A carpenter built a square table with side length x. Next, he will build a rectangular table by tripling one side and halving th

e other. The area of the rectangular table is represented by the expression (3 x)(one-half x).
A square with sides x. A rectangle with side one-half x and side 3 x.

What is the simplified expression for the area of the rectangular table?

Three-halves x squared
Three-halves x
Five-halves x squared
Five-halves x

1 answer:

mart [117]2 years ago

8 0

The simplified expression for the area of the rectangular table is Three-halves x squared, 3x²/2

<h3>What is the area of the rectangular table?</h3>

Since the carpenter built a square table with side length x. Next, he will build a rectangular table by tripling one side and halving the other.

To find the area of the rectangular table, we know that Area, A = LW where

L = length and
W = width

Now, since the length of the square is x, and the rectangular table has one side of the square tripled and halving the other side .

So,

let

length of the rectangular table = L = x/2 and
width of rectangular = W = 3x

So, the area of the rectangular table A = LW

= x/2 × 3x

= 3x²/2

So, the simplified expression for the area of the rectangular table is Three-halves x squared, 3x²/2

Learn more about area of rectangular table here:

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Brown rice costs $2 per pound, and beans cost $1.60 per pound. Lin has $10 to spend on these items to make a large meal of beans

Valentin [98]

Answer:

1. $2r+1.6b=10$

2. $r=5-0.8b$

3. $b=6.25-1.25r$

Step-by-step explanation:

<h3> The complete exercise is: "Brown rice costs $2 per pound, and beans cost $1.60 per pound. Lin has $10 to spend on these items to make a large meal of beans and rice for a potluck dinner. Let b be the number of pounds of beans Lin buys and r be the number of pounds of rice she buys when she spends all her money on this meal.</h3><h3>1. Write an equation relating the two variables.</h3><h3>2. Rearrange the equation so "b" is the independent variable.</h3><h3>3. Rearrange the equation so "r" is the independent variable."</h3><h3 />

1. According to the information exercise given in the exercise, the cost per pounds of brown rice is $2. Since "r" represents the number of pounds of rice Lin buys, the total cost of the brown rice she buys can be represented with this expression:

$2r$

The beans cost $1.60 per pound. Since "b" represents the number of pounds of beans Lin buys, the total cost of beans she buys can be represented as:

$1.6b$

Knowing that she spends $10, you can write the following equation:

$2r+1.6b=10$

2. In order to rearrange the equation so "b" is the independent variable, you need to solve for "r":

$2r+1.6b=10\\\\2r=10-1.6b\\\\r=\frac{10-1.6b}{2} \\\\r=5-0.8b$

3. To rearrange the equation so "r" is the independent variable, you must solve for "b". You get:

$2r+1.6b=10\\\\1.6b=10-2r\\\\b=\frac{10-2r}{1.6}\\\\b=6.25-1.25r$

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3 years ago

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At the start of the year, 15 chameleons were introduced into a zoo. The population of chameleons is expected to grow at a rate o

bearhunter [10]

Answer:

option-B

Step-by-step explanation:

We are given

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we can use formula

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now, we can plug values

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Average rate of change between 4 years and 6 years:

we can use formula

$A_2=\frac{P(6)-P(4)}{6-4}$

now, we can plug values

$A_2=\frac{15(1.4142)^{6}-15(1.4142)^{4}}{6-4}$

$A_2=29.99770$

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we can use formula

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now, we can plug values

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now, we will check each options

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$A_3-A_2=30$

So, this is FALSE

option-B:

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This is FALSE

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$A_1=\frac{1}{2}A_2$

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Answer:

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Step-by-step explanation:

From the graph attached,

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3 years ago