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Svetlanka [38]
2 years ago
14

20 POINTS Compost costs $10 per cubic yard and topsoil costs $2 per cubic yard. Maria needs more than 10 cubic feet of topsoil.

She can spend no more than $50. The graph below represents the amount of each she can buy.
Which amounts of materials satisfy the relationship?
2 cubic yards of compost, 8 cubic yards of topsoil
4 cubic yards of compost, 5 cubic yards of topsoil
1 cubic yard of compost, 12 cubic yards of topsoil
3 cubic yards of compost, 12 cubic yards of topsoil
Mathematics
2 answers:
Morgarella [4.7K]2 years ago
8 0
I can't see the graph but let's use logic
hmm, more than 10 cubic feet of topsoil so the first and 2nd options are wrong

let's ee the costs
3rd option
10*1=10
2*12=24
10+24=34 and 34<50, that is fine

4th option
3*10=30
2*12=24
30+24=54
54>50, nope, that is over cost


answer is 3rd one
the one with 1 cubic yard compost and 12 cubic yard topsoil
kykrilka [37]2 years ago
7 0

Answer:

1 cubic yard of compost, 12 cubic yards of topsoil

Step-by-step explanation:

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Percent means per one-hundred

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2 years ago
Gavin and Jim win some money and share it in the ratio 5:2. Gavin gets £39 more than Jim. How much did they get altogether?
gregori [183]

Answer:

Altogether Gavin and Jim won £95.

Step-by-step explanation:

We are given the following in the question:

Ratio of money won by Gavin and Jim = 5:2

Gavin gets £39 more than Jim.

Let x be the amount of money Won by Jim.

Then, money won by Gavin =

=(x+39)

Thus, we can write the equation:

\dfrac{\text{Gavin}}{\text{Jim}} = \dfrac{5}{2}=\dfrac{x+39}{x}

Solving, we get,

\dfrac{5}{2}=\dfrac{x+39}{x}\\\\5x = 2x + 78\\\Rightarrow 3x = 78\\\Rightarrow x = 26\\\Rightarrow (x+39) = 65

Thus, Gavin won £65 and Jim won £26.

Money won altogether =

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2 years ago
Samuel was riding in the back seat of the station wagon on the way home after a long and tiring day at the
ki77a [65]

Answer: One fourth of the entire trip.

Step-by-step explanation:

The initial distance is D.

" He fell asleep halfway home."

Then he fells asleep when the distance between his actual position and his house was half of D, or:

D/2.

"He didn't wake up until he still had half as far to go as he had already

gone while asleep."

So he wakes up when his actual position is a fourth of the initial distance:

(D/2)/2 = D/4.

Then if the entire trip has a distance D, and he was sleeping between:

D/2 - D/4 = 2D/4 - D/4 = D/4.

in a trip of a distance D, he was asleep a distance of D/4.

Then, returning to the question:

How much of the entire trip home was Samuel asleep?

This is equal to the quotient between the distance that he travels asleep and the total distance:

r = (D/4)/D = 1/4.

Then he was asleep in 1/4 of the entire trip.

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