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coldgirl [10]
3 years ago
5

A group of students must collect at least $150 to organize a science fair. They have

Mathematics
2 answers:
MariettaO [177]3 years ago
7 0
Can you attach a pic of the graphs so I can help?
Law Incorporation [45]3 years ago
6 0

The answer would be the first graph! The one that has the black dot in the number 120.

Hope this helps! :)

Have a nice day <3

~Amy

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PLEASE HELP PERSONAL FINANCE / LAUNCH QUESTION
Kobotan [32]

Answer:

option d: 25% unfavorable

Step-by-step explanation:

The budget is $40, and it was spent $50, so as the amount spent was higher than the budget, we have a unfavorable percent of variance.

The amount spent more than the budget was:

50 - 40 = 10

Now to calculate the percent of variance, we divide the value spent more than the budget (10) by the value of the budget (40)

Percent of variance = 10 / 40 = 0.25 = 25%

So the answer is 25% unfavorable, option d

3 0
3 years ago
Volume and surface area are often compared by manufacturers in order to maximize how much of something can go inside of a packag
notka56 [123]
We have no dimensions to work with. I'll pick some and try and comply with the conditions of the problem. 

Suppose you have an object that is 14 by 22 by 27 cm. These three numbers have no common factor so they cannot be reduced any further, which is helpful for this problem.

Find the Volume
Volume

l = 27 cm
w = 14 cm
h = 22 cm

V = 27 *14 * 22
V = 8316 cm^3

Find the surface area
SA = 2*l*w + 2*l*h  + 2*w*h
SA = 2*27*14  +  2*27*22   +  2*14*22
SA = 756 + 1188 + 616
SA = 2558

Just looking at these numbers The surface area is about 1/3 of the volume. I don't think this is always true.


 \frac{SA}{V} =  \frac{2*L*W  + 2*L*H + 2*W*H}{L*W*H} 

Another way to do this is to consider a cube which might give you a more useful result. 

s = L = W = H all three dimensions are equal in a cube.
The volume of a cube is s*s*s = s^3
The surface area of a cube is 2*s*s + 2*s*s + 2s*s = 6s^2

\frac{SA_cube}{V_cube} =  \frac{6s*s}{s*s*s}
\frac{SA}{V} =  \frac{6}{s}

That means whatever the side length, the Surface Area to volume = 6/the side length which is kind of an interesting result.


4 0
3 years ago
What is the rate of change and initial value for the linear relation that includes the points shown in the table? x; 1,3,5,7
BARSIC [14]

Answer:

The rate of change is -5

The initial value is 25

Step-by-step explanation:

Since, this is a linear relation

so, we can select any two points and find equation of line

points are (1,20) and (3,10)

so,

x_1=1,y_1=20

x_2=3,y_2=10

now, we can find slope

m=\frac{y_2-y_1}{x_2-x_1}

now, we can plug values

m=\frac{10-20}{3-1}

m=-5

now, we can use point slope form of line

y-y_1=m(x-x_1)

now, we can plug values

y-20=-5(x-1)

now, we can solve for y

y=-5x+25

we know that

slope is the rate of change

So, the rate of change is -5

For finding initial value , we can plug x=0 and find y

y=-5\times 0+25

y=25

So, initial value is 25

3 0
3 years ago
If you’re ADDING same bases, then you should also ADD the exponents. <br><br> True<br> False
Arisa [49]
False when you multiply numbers you add the exponents.
6 0
3 years ago
Find the product of (p+5)(p-2)
Korolek [52]

Answer:

The answer is p^2+3p-10

5 0
3 years ago
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