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Over [174]
4 years ago
11

John is creating a Thanksgiving display at the store where he works, using only canned pumpkin and canned green beans. He needs

to maintain a ratio of pumpkin to green beans of 5 to 2. If he wants to use a total of 105 cans, how many cans of green beans should he use?
Mathematics
1 answer:
melomori [17]4 years ago
7 0

Number of green beans John should use is 30

<em><u>Solution:</u></em>

Given that ratio of pumpkin to green beans is 5 to 2

pumpkin : green beans = 5 : 2

Let "5a" be the number of canned pumpkins

Let "2a" be the number of canned green beans

John wants to use a total of 105 cans

number of canned pumpkins + number of canned green beans = 105

5a + 2a = 105

7a = 105

<h3>a = 15</h3>

number of canned green beans = 2a = 2(15) = 30

Thus number of green beans John should use is 30

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Explain how to use a coordinate plane to find the area of a rectangle with vertices (–4, 9), (–4, –3), (–1, –3), and (–1, 9). wh
liberstina [14]

the formula for area of a rectangle is

Area = length x width

since both the length and the width of the rectangle lie on the same x and y axis, we can find the distance between the width and the distance between the length by subtracting

(-4,9) (-4,-3)

these points lie on the same x axis, so they create a vertical line

9-(-3) = 12

12 units is the distance between them

(-4,-3) (-1,-3)

these points lie on the same y axis, so they create a horizontal line

-1-(-4) = 3

3 units is the distance between them

now that we have the length and the width, we can find the area

A = 12 x 3

A = 36 units²

4 0
3 years ago
Read 2 more answers
I need help please ^^
Vaselesa [24]

Answer:

  see below

Step-by-step explanation:

Usually, we're concerned about the relationship of y to x. Here, the question is asking you to consider the relationship of x to y.

The easiest way to find the answer to this one is to check the given explanations to see which is true. You can pretty much ignore the first row of the table and just look at the second row where x=5 and y=15.

  • it is NOT TRUE that x is 3 times y (5 is not 3 times 15)
  • it is TRUE that x is 1/3 of y (5 is 1/3 of 15)
  • it is NOT TRUE that x is 5 times y (5 is not 5 times 15)
  • it is NOT TRUE that x is 1/5 of y (5 is not 1/5 of 15)

_____

If you know your multiplication tables, you know that 15 = 3×5, so ...

  5 = 15/3

  5 = (1/3) × 15

The relationship of these numbers should not be a mystery.

4 0
3 years ago
Change to a mixed number 5/3how to change 5/3 into a mixed number
Jet001 [13]

Answer:1 2/3

Step-by-step explanation:You subtract 5/3 by 3/3, then add 1 as the whole number

3 0
3 years ago
Read 2 more answers
PLEASE HELP
irina [24]

Answer:

12\sqrt{3} feet

Step-by-step explanation:

In a 30-60-90 triangle, the ratios of the side lengths of the triangle is 1:\sqrt{3} :2

Where 1 is the shortest leg, root(3) is the longer leg, and 2 is the hypotenuse.

First we can set x equals to the length of the original pole, and so the shorter leg has a length of x/3 and using the ratio of side lengths, we can find that:

\frac{x}{3} * \sqrt{3} = \frac{\sqrt{3} x}{3} = 12

Solving for x, we find that

x=\frac{36}{\sqrt{3} } = \frac{36 * \sqrt{3} }{\sqrt{3} * \sqrt{3} } = \frac{36  \sqrt{3} }{3} = 12\sqrt{3}

So the length of the original pole would be 12\sqrt{3} feet

If you found this answer helpful, please consider marking it as brainliest, or give it a thanks and a 5 star review. Thanks!

6 0
3 years ago
) A coin collection consisting of pennies, dimes, and quarters totals 45 coins. The number of
Sloan [31]

9514 1404 393

Answer:

  $7.14

Step-by-step explanation:

Let p, d, q represent the numbers of pennies, dimes, and quarters in the collection, respectively.

  p + d + q = 45 . . . . . . . . there are 45 coins in the collection

  2p +5 = q . . . . . . . . . . . . 5 more than twice the number of pennies

  p + 4 = d . . . . . . . . . . . . . 4 more than the number of pennies

Substituting the last two equations into the first gives ...

  p +(p +4) +(2p +5) = 45

  4p = 36 . . . . . . . . . . . . . subtract 9

  p = 9 . . . . . . . . . . . divide by 4

  d = 9 +4 = 13

  q = 2(9) +5 = 23

The value of the collection is ...

  23(0.25) +13(0.10) +9(0.01) = 5.75 +1.30 +0.09 = 7.14

The coin collection is worth $7.14.

5 0
3 years ago
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