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belka [17]
3 years ago
5

Which inequality can be used to represent this problem? (HELP ASAP, IM TIMED)

Mathematics
1 answer:
Nadya [2.5K]3 years ago
8 0

Propane costs $3.50 per hundred pounds,

and there is a $6 monthly delivery fee.  

A family has budgeted $85 for their propane this month.

Let  'x' hundreds of pounds can the family use without going over budget

Here family has budgeted $85 for their propane.

So the cost for Propane  = $ 3.5x

One month delivery fee $6

Therefore cost + delivery charge not exceed $85

So 3.5x + 6 ≤ 85

3.5x=85-6 =79

x = 22.57

Therefore 22 hundreds of pounds can the family use without going over budget


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5. Use any method to solve the equation. If necessary, round to the nearest hundredth.
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a woman has $28,000. part is invested for one year in a certificate of deposit paying 7% interest, and the remaining amount in c
alexira [117]

Answer:

Amount invested at 7% = 16000

Amount invested at 9% = 12000

Step-by-step explanation:

Let x be the amount invested at 7% and y be the amount invested at 9%.

Since the total amount invested is $28000, therefore, we can set up the first equation as:

x+y=28000

Secondly, we are give that sum of two investments is $2200. Therefore, we can write the second equation as:

0.07x+0.09y=2200

Now we need to solve these two equations to get the values of x and y.

First of all, we multiply the second equation with 100 in order to get rid of decimal values.

(0.07x+0.09y)*100=2200*100\\7x+9y=220000

Let us use substitution method here. First of all we will solve for y from first equation and plug that into second equation.

y=28000-x

7x+9(28000-x)=220000\\7x+252000-9x=220000\\-2x=-32000\\x=16000

Therefore, amount invested at 7% is $16000 and amount invested at 9% is 28000-16000=$12000.

7 0
3 years ago
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