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Svetlanka [38]
3 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]3 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]3 years ago
7 0

Answer:

1 cubic yard of compost, 12 cubic yards of topsoil

Step-by-step explanation:

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Calculate the measure of segment KL<br><br><br> HELP PLS
iVinArrow [24]
10x+3 = 3x+24

10x-3x= 24-3

7x=21

X= 21/7

Final answer:

X=3

I’m not so sure of my answer but wish you the best and good luck!!

5 0
3 years ago
In the sport​ competition, France won more gold medals than​ Italy, who won more gold medals than Korea. If the total number of
worty [1.4K]

Answer:

France = 15, Italy = 14, Korea = 13

Step-by-step explanation:

We are trying to find 3 consecutive integers whose sum is 42, then the highest integer will be France's gold medal count since they won the most, the second highest will be Italy, and the lowest integer will be Korea.

let n be the first/smallest integer, since they are consecutive, the next two integers are n+1 and n+2. Summing these, we get n + (n+1) + (n+2) = 42. Solve to get n = 13, n + 1 = 14, and n + 2 = 15

5 0
3 years ago
Read 2 more answers
The residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes was 5 to 3 . If there were
Alchen [17]

Answer:

There were 2747 yes votes.

Step-by-step explanation:

This question can be solved using proportions.

The ratio of yes votes to no votes was 5 to 3 .

This means that for each 5 + 3 = 8 votes, 5 were yes and 3 were no.

If there were 4395 total votes, how many yes votes were there?

For each 8 votes, we have 5 yes. How many yes votes were there in 4395 votes?

5 yes - 8 votes

x yes - 4395 votes

8x = 4395*5

x = 4395*5/8

x = 2747

There were 2747 yes votes.

7 0
3 years ago
A bag contains 6 red apples and 6 yellow apples. A sample of 3 apples is drawn. Find the probability that the sample contains mo
lys-0071 [83]

Answer: 21/44

Step-by-step explanation:

Given that:

Bag contains :

6 red apples

6 yellow apples

Number of samples drawn = 3

Probability that sample contains more red than yellow :

Then from the three samples, red = 2 and yellow = 1 or red for all 3

Prob of RRR = (6/12)(5/11)(4/10)= 120 / 1320

Prob RRY = (6/12)(5/11)(6/10)= 150/1320

Prob RYR is (6/12)(6/11)(5/10)= 180/1320

Prob YRR is (6/12)(6/11)(5/10)=180/1320

120/1320 + 150/1320 + 180/1320 +. 180/1320 = 630/1320 =126/264 = 42/88 = 21/44

3 0
3 years ago
Three consecutive integers can be represented by the variable n, n+1 and n+2. If the sum of three consecutive integers is 57, wh
pashok25 [27]
You have some unknown integer n, and you know that adding this and the next two integers, n+1 and n+2, gives a total of 57.

This means

n+(n+1)+(n+2)=57

The task is to find all three unknown integers. Notice that if you know the value of n, then you pretty much know the value of the other three integers.

To find n, solve the equation above:

n+(n+1)+(n+2)=3n+3=57\implies 3n=54\implies n=\dfrac{54}3=18

So if 18 is the first integer, then others must be 19 and 20.
7 0
3 years ago
Read 2 more answers
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