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Svetlanka [38]
4 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]4 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]4 years ago
7 0

Answer:

1 cubic yard of compost, 12 cubic yards of topsoil

Step-by-step explanation:

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Given |u| = 10 at ∠135° and |v| = 5 at ∠30°, what expression can be used to find |u + v|?
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Answer:

B, 10^{2} + 5^{2}- 2(10)(5)cos(75)

Step-by-step explanation:

Using the law of cosines, which is c^{2}=a^{2}+b^{2}-2ab cos(C), you can simply insert all the values.

c=|u+v|

a= r value of u (10)

b= r value of v (5)

To find  C, you simply have to subtract v from u, and then subtract that number from 180 to find the reference angle.

I.E.: ∠135 - ∠30 = ∠105 ↔ 180 - 105 = 75 =  C

so, the completed equation would be 10^{2} + 5^{2}- 2(10)(5)cos(75)

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The amount of money that Hudson will need to save each week is $106.25.

<h3>How to calculate the value?</h3>

From the information, they determine that the trip will cost $3,200. Mr. and Mrs. Hudson have already set aside $1,500 for the trip.

Let the amount saved each week be represented as w.

Based on the information given, this will be illustrated as:

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Divide

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The amount is $106.25.

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It costs $60 to buy 10 hamburgers. At this rate, how much would it cost to buy 12 hamburgers? (Use proportions to help you).
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Step-by-step explanation:

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