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PilotLPTM [1.2K]

3 years ago

7

Edgar earned $9 for every 2 boxes of candy he sold for his school's fundraiser. At that rate, how much would

1 answer:

Eddi Din [679]3 years ago

6 0

Answer:

108

Step-by-step explanation:

divide 9 by 2, you get 4.5. multiply that by 24 and you get your answer.

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when you start from a given set of rules and conditions and determine what must be true, you are using ____ reasoning.

8_murik_8 [283]

According to the statement, I think it is using deductive reasoning. Deductive reasoning uses facts,rules,definitions, or properties to reach logical conclusions from given statements.

5 0

2 years ago

Read 2 more answers

PLS HELP (links = report)

NARA [144]

Answer:

2040 m3

Step-by-step explanation:

you see in the pic, the shape may cut into 2 pieces, this is 1/2 of the shape.

so we take (24*10*17)/2=2040 m3.

Hope it helps you

3 0

2 years ago

Which equation(s) model inverse variation? Select all that apply.

Harman [31]

For this case, what you should know is that the equations that represent an inverse variation are those that could not form a straight line, for example.

We have then:

Equation 1:

pv = 13

Rewriting:

p = 13 / v

P and v are represent an inverse variation.

Equation 2:

z = (2 / x)

z and x are represent an inverse variation.

Answer:

equations represented inverse variation are:

pv = 13

z = (2 / x)

7 0

2 years ago

Pam has 90 m of fencing to enclose an area in a petting zoo with two dividers to separate three types of young animals. The thre

andrew-mc [135]

Answer:

The area function is

$A=\frac{135}{2}x-\frac{9}{2}x^2$ .

The domain and range of A is $(0,15m)$ and $(0, 253.125 m^2]$ .

Step-by-step explanation:

The given length of fencing is $90 m$ .

Let the length and width of each pen be $x$ and $y$ respectively as shown in the figure.

As there are 3 pens, so, the total area,

$A= 3 xy \;\cdots (i)$

From the figure the total length of fencing is $6x+4y$ .

Here, for a significant area for the animals, $x>0$ as well as $y>0$ as $x$ and $y$ are the sides of ben.

From the given value:

$6x+4y=90\;\cdots (ii)$

$\Rightarrow y=\frac {45}{2}-\frac{3x}{2}$

Now, from equation (i)

$A=3x\left(\frac {45}{2}-\frac{3x}{2}\right)$

$\Rightarrow A=\frac{135}{2}x-\frac{9}{2}x^2\;\cdots (iii)$

This is the required area function in the terms of variable $x$ .

For the domain of area function, from equation (ii)

$x=15-\frac{2y}{3}$

$\Rightarrow x$ [as y>0]

So, the domain of area function is $(0,15m)$ .

For the range of area function:

As $x \rightarrow 0$ or $y\rightarrow 0$ , then $A\rightarrow 0$ [from equation (i)]

$\Rightarrow A>0$

Now, differentiate the area function with respect to $x$ .

$\frac {dA}{dx}=\frac{135}{2}-9x$

Equate $\frac {dA}{dx}$ to zero to get the extremum point.

$\frac {dA}{dx}=0$

$\Rightarrow \frac{135}{2}-9x=0$

$\Rightarrow x=\frac{15}{2}$

Check this point by double differentiation

$\frac {d^2A}{dx^2}=-9$

As, $\frac {d^2A}{dx^2}$ , so, point $x=\frac{15}{2}$ is corresponding to maxima.

Put this value back to equation (iii) to get the maximum value of area function. We have

$A=\frac{135}{2}\times \frac {15}{2}-\frac{9}{2}\times \left(\frac {15}{2}\right)^2$

$\Rightarrow A=253.125 m^2$

Hence, the range of area function is $(0, 253.125 m^2]$ .

4 0

3 years ago

PilotLPTM [1.2K]

Answer:

WV is the perpendicular bisector of UT.

3 0

3 years ago