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aivan3 [116]
3 years ago
7

Ben needs to buy orange juice. He can buy 64 fl oz at the grocery store for $2.00, or he can buy 256 fl oz at the wholesale club

for $7.50| a) Find the unit price for the grocery store orange juice. Round your answer to the nearest thousandth.| b) Find the unit price of the wholesale club orange juice. Round your answer to the nearest thousandth.| c) Where should ben buy orange juice ifhe wants the best deal? Explain.
Mathematics
1 answer:
maw [93]3 years ago
8 0
2. unit price = $ ÷ oz 
<span>a) 64 fl oz for $2 = 2/64 ≈ $0.031 per ounce </span>
<span>b) 256 fl oz for $7.5 = 7.5/256 = $0.029 per ounce </span>
<span>c) buy wholesale because 0.029 < 0.031 </span>

<span>3. unit rate means 1 for the miles </span>
<span>3/10 in ÷ 7/8 mi </span>
<span>= 12/35 inches per mile ...</span>
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If angle EFH(5x+1)’ angle HFG(62 degrees) and angle EFG (18x+11) find each measurement
zloy xaker [14]

Answer:

∠EFH = 21°

∠HFG = 62°

∠EFG = 83°

Step-by-step explanation:

The diagram showing the angles has been attached to this response.

From the diagram, it can be deduced that;

Angle EFG = angle EFH + angle HFG

=> ∠EFG = ∠EFH + ∠HFG                -------------------(i)

From the question:

∠EFH = (5x + 1)°                    -------------(ii)

∠HFG = 62°                          -------------(iii)

∠EFG = (18x + 11)°                 -------------(iv)

<em>Substitute these values into equation (i) as follows;</em>

(18x + 11) = (5x + 1) + 62

=> 18x + 11 = 5x + 1 + 62

<em>Collect like terms and solve for x</em>

18x - 5x = 1 + 62 - 11

13x = 52

x = 4

Now, to get each measurement, substitute x = 4 into each of equations (ii) - (iv)

∠EFH = (5x + 1)°

∠EFH = (5(4) + 1)°

∠EFH = (20 + 1)°

∠EFH = 21°

∠HFG = 62°              [<em>Does not depend on x</em>]

∠EFG = (18x + 11)°

∠EFG = (18(4) + 11)°

∠EFG = (72 + 11)°

∠EFG = 83°

<u>Conclusion:</u>

∠EFH = 21°

∠HFG = 62°

∠EFG = 83°

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