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Luden [163]
3 years ago
15

If it takes 6.7 lb of seed to plant one acre of grass how many acres can be planted with 8.04 pounds of seed?

Mathematics
2 answers:
Makovka662 [10]3 years ago
6 0

Answer:

1.2 acres of grass

Step-by-step explanation:

It takes 6.7 lb of seed to plant one acre of grass. The ratio of interest is 6.7 lb seed:1 acre of grass. We can find the acres of grass that can be planted with 8.04 pounds of seed using a conversion fraction.

8.04 lb × (1 acre/6.7 lb) = 1.2 acre

We can plant 1.2 acres of grass with 8.04 pounds of seed.

defon3 years ago
5 0
This is a proportion problem. 6.7lbs to one acre as 8.04 lbs is to x acres.

x= # lbs of seed to cover 8.04 acres


6.7/1=8.04/x
cross multiply

(6.7*x) =(1*8.04)
6.7x=8.04
divide both sides by 6.7

x= 1.2 pounds needed to cover 8.04 acres

Hope this helps! :)
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8 0
4 years ago
The area of a room is 425 square feet. The length is (x+10) and the width is (x+2) feet. Find the dimensions of the room.
podryga [215]

Answer:

length = 25 feet and width = 17 feet

Step-by-step explanation:

area (A ) = length × width, hence

A = (x + 10)(x + 2) ← expand factors

  = x² + 12x + 20

given A = 425, then

x² + 12x + 20 = 425 ( subtract 425 from both sides )

x² + 12x - 405 = 0 ← in standard form

(x + 27)(x - 15) = 0 ← in factored form

equate each factor to zero and solve for x

x + 27 = 0 ⇒ x = - 27

x - 15 = 0 ⇒ x = 15

but x > 0 ⇒ x = 15, therefore

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7 0
4 years ago
There are 2 boys for every 3 girls. Today 5 new boys were added making the number of girls and boys the same. How many boys and
Anna11 [10]

Answer:

10 boys, 15 girls

Step-by-step explanation:

Original ratio: 2 boys/3 girls

let x be the scale factor of the ratio

2x plus 5 boys over 3x girls = 1 (because the # of boys/girls are the same)-------> 2x+5/3x = 1

Simplify: 2x+5=3x

Simplify: 5=x

plug x back into the original ratio: 10/15

Check: 10/15 = 2/3

10 boys + 5 boys = 15, 15/15 = 1

5 0
2 years ago
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Step-by-step explanation:

3 0
2 years ago
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grigory [225]

Answer:

x=1

Step-by-step explanation:

2x+6=8

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= x=1

7 0
3 years ago
Read 2 more answers
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