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makvit [3.9K]
3 years ago
9

The number of pens used varies directly with the number of pieces of paper needed. If 12 pens are used when 40 pieces of paper a

re needed, how many pens will be used when 240 pieces of paper are needed?
Mathematics
1 answer:
svetlana [45]3 years ago
6 0

Answer:


Step-by-step explanation:

Y=KX


P=KX

12=K40

12/40=K

.3=K

P=.3X

P=.3(240)

P=72

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X and y are in direct proportion, when x is 8, y is 12. Which of the following is not a
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Answer:

d.

Step-by-step explanation:

if x varies directly as y,

x = ky

8 = 12k

12k = 8

k = 8/ 12

k = 2/3,

x = 2/3 y

now substitute the value of any of the numbers of each pair, and check if it works:

for e.g, find x when y = 15

x = 2/3y

x = 2/3 × 15

x = 10

since you obtain x = 10 when y = 15, the pair is a possible corresponding value of x and y. now do the same for the rest .

ii) x = 2/3y

x = 2/3 × 3, when y = 3

x = 2

hence, this is also a possible pair of x and y values.

iii) x = 2/3y

x = 2/3 × 9 when y = 9

x = 6

again, a possible pair of x and y values.

iv) x = 2/3y

x = 2/3 × 20 when y = 20

x = 40/3

here, when y = 20, x is not 15. it is 40/3.

thus, it can be determined that this is not a possible pair of x and y values.

please try to understand and have a great day!

8 0
2 years ago
If ON = 7x - 5, LM = 6x + 4, NM = x + 6, and OL = 8y + 3, find the values of X and Y for which LMNO must be a parallelogram. Ple
Sladkaya [172]

The values of x and y that will make LMNO a parallelogram are: x = 9, y = 1.5.

<h3>Properties of a Parallelogram</h3>
  • The opposite sides of a parallelogram are parallel to each other and are also of equal lengths.
  • Diagonals of a parallelogram are congruent to each other and also bisect each other into equal halves.

Therefore:

ON = LM

Substitute

7x - 5 = 6x + 4

Add like terms

7x - 6x = 5 + 4

x = 9

OL = NM

Substitute

8y + 3 = x + 6

Plug in the value of x

8y + 3 = 9 + 6

8y + 3 = 15

8y = 15 - 3

8y = 12

y = 12/8

y = 1.5

Therefore, the values of x and y that will make LMNO a parallelogram are: x = 9, y = 1.5.

Learn more about parallelogram on:

brainly.com/question/7200842

6 0
2 years ago
Jeremy wanted to buy a used car for $4000. He had to pay 8% in sales tax. How much is he paying for the car?
lord [1]

Answer:

he pays 4320 :)

Step-by-step explanation:

5 0
3 years ago
Your mother gave you $25 dollars with which to buy a present. This covered 5/6 of the cost. How much did the present cost???????
miv72 [106K]
I don't know, but I think we/you have to divide 5 into 6. If it is wrong, then i'm so sorry.
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The City of Oz has to repaint its cylinder-shaped water tower. Only the top and sides need to be painted. If the water tower has
scoundrel [369]
Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions.
Among the choices provided the answer should be letter C. Below is the solution:

top 
<span>pi r^2 or pi * 400 </span>
<span>sides </span>
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<span>2400pi </span>

<span>so add the top and side we get p*400 + p*2400 = 2800 pi ft^2</span>

6 0
3 years ago
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