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ICE Princess25 [194]
2 years ago
7

Mrs. White graded 85% of her class papers. If there are 60 papers in all, how

Mathematics
2 answers:
rusak2 [61]2 years ago
7 0
She has graded 51 papers!
eimsori [14]2 years ago
3 0

Answer:

MRS. White graded 51 papers.

Step-by-step explanation:

85/100= 0.85

0.85 x 60 = 51

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Michael says their homes are at opposite elevations because they are in opposite directions. Is he correct? Explain.
ratelena [41]
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3 years ago
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If jamie has $5 and purchases a soda for $1.15 how much change does jamie get back
ArbitrLikvidat [17]
Jamie get back:5-1.15
=$3.85
5 0
3 years ago
The average annual income I in dollars of a lawyer with an age of x years is modeled with the following function I=425x^2+45,500
natali 33 [55]
You did not include the questions, but I will give you two questions related with this same statement, and so you will learn how to work with it.

Also, you made a little (but important) typo.

The right equation for the annual income is: I = - 425x^2 + 45500 - 650000

1) Determine <span>the youngest age for which the average income of a lawyer is $450,000

=> I = 450,000 = - 425x^2 + 45,500x - 650,000

=> 425x^2 - 45,000x + 650,000 + 450,000 = 0

=> 425x^2 - 45,000x + 1,100,000 = 0

You can use the quatratic equation to solve that equation:

x = [ 45,000 +/- √ { (45,000)^2 - 4(425)(1,100,000)} ] / (2*425)

x = 38.29 and x = 67.59

So, the youngest age is 38.29 years

2) Other question is what is the maximum average annual income a layer</span> can earn.

That means you have to find the maximum for the function - 425x^2 + 45500x - 650000

As you are in college you can use derivatives to find maxima or minima.

+> - 425*2 x + 45500 = 0

=> x = 45500 / 900 = 50.55

=> I = - 425 (50.55)^2 + 45500(50.55) - 650000 = 564,021. <--- maximum average annual income
3 0
3 years ago
Alex stocks up for winter. He buys 32 cans of vegetables. He pays 80 cent per can for tomatoes and 40 cents per can for corn, fo
lara31 [8.8K]
X = # of cans of tomatoes, y = # of cans of corn

x + y = 32.....y = 32 - x
0.80x + 0.40y = 18

0.80x + 0.40(32 - x) = 18
0.80x + 12.8 - 0.40x = 18
0.80x - 0.40x = 18 - 12.8
0.40x = 5.2
x = 5.2 / 0.40
x = 13 <=== 13 cans of tomatoes were bought

leaving (32 - 13) = 19 cans of corn bought
4 0
3 years ago
-y varies inversely with x. If y = 8 and k (the constant of variation) = 19, what is x?
Dimas [21]

Answer:

Part 1) x=2.375

Part 2) y=3.3

Part 3) k=6.7

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent an inverse variation if it can be expressed in the form y*x=k or y=k/x

Part 1) y varies inversely with x. If y = 8 and k (the constant of variation) = 19, what is x?

we know that

y*x=k

substitute the given values and solve for x

8*x=19

x=19/8

x=2.375

Part 2) y varies inversely with x, and k (the constant of variation) = 23. What is the value of y when x = 7?

we know that

y*x=k

substitute the given values and solve for y

y*7=23

y=23/7

y=3.3

Part 3) y varies inversely with x. When y = 6.7, x = 1. What is the value of k, the constant of inverse variation?

we know that

y*x=k

substitute the given values and solve for k

6.7*1=k

k=6.7

6 0
3 years ago
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