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guapka [62]
2 years ago
11

James has a 6-ft board that is 24 in. wide. He wants to cut it into five pieces to make a small bookshelf with two shelves. The

front and back will not be covered. What should the dimensions of the bookshelf be to maximize the volume and use all of the 6 ft board?

Mathematics
1 answer:
Elodia [21]2 years ago
3 0

Answer:

width=x, length = y

(in ft)

3x + 2y = 6y>x

y = 1.5 , x= 1

1ft = 12 in 1.5ft = 18in

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Ann weighs 259 pounds but is only 5 feet 3 inches tall. Betty is 6 feet tall. How much would you expect Betty to weigh if they h
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Answer:

D. 296.00 LBS

Step-by-step explanation:

We convert both heights to inches.

1 ft = 12 in.

5 ft 3 in = 5 × 12 in. + 3 in. = 63 in.

6 ft = 6 × 12 in. = 72 in.

\dfrac{63~in.}{259~lb} = \dfrac{72~in.}{x}

\dfrac{63x}{259} = 72~lb

x = \dfrac{259 \times 72~lb}{63}

x = 296~lb

Answer: D. 296.00 LBS

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2 years ago
In the relationship shown by the data linear ? If so , model the data with an equation A. The relationship is not linear B. The
dybincka [34]

Let's take two points so that we can get the equation of the line which goes through those points. P1 (-9, -2), P2 (3, -17):

m=\frac{y_2-y_1}{x_2-x_1}=\frac{-17-(-2)}{3-(-9)}=\frac{-17+2}{3+9}=-\frac{15}{12}=-\frac{5}{4}\begin{gathered} y-y_1=m(x-x_1) \\ y-(-2)=-\frac{5}{4}\cdot(x-(-9)) \\ y+2=-\frac{5}{4}\cdot(x+9)_{} \\ y=-\frac{5}{4}x-\frac{45}{9}-2 \\ y=-\frac{5}{4}x-7 \\ f(x)=-\frac{5}{4}x-7 \end{gathered}

So, y is the line which goes through the first and last points of the chart.

To proof that the rest of points go through the line as well, we will evalute each point

\begin{gathered} f(-5)=-\frac{5}{4}\cdot(-5)-7=\frac{25}{4}-7=-\frac{3}{4}\ne-7 \\ f(-1)=-\frac{5}{4}(-1)-7=\frac{5}{4}-7=-\frac{23}{4}\ne-12 \end{gathered}

Since the evaluation of these points don't correspond to the values of the chart we can assure that the relationship is not linear

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2 years ago
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Answer:

n3/.5

Step-by-step explanation:

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7 0
2 years ago
For their twentieth wedding anniversary, Richard and Sylvia had a party for several of their best friends. Things were going alo
kompoz [17]

Answer:

Richard is older

Step-by-step explanation:

We can set up an inequality for both statements.

Let r equal Richard's age and s equal Sylvia's age.

"I am older than my wife."

Since Richard is speaking, the inequality would look like this:

r > s

This means Richard is older than Sylvia.

"I am younger than my husband."

Since Sylvia is speaking, the inequality would look like this:

s < r

This means that Sylvia is younger than Richard.

We can flip one inequality to "see" them from the same perspective.

Let's use s < r

To make it so that we can see the relationship from Richard's perspective, flip the entire inequality.

s < r

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r > s

The inequality from the first quote is identical to this one!

Therefore, Richard is older than Sylvia.

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3 years ago
What are the first numbers of pi
Zanzabum

Answer: the beginning numbers are 3.1415926535

Step-by-step explanation:

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4 years ago
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