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Igoryamba
3 years ago
13

Joe's canoe charges an initial fee of $20 plus $4 an hour. Callie's canoe charges a flat rate of $14 an hour find the number of

hours for which the total amount that both places charge would be the same
Mathematics
2 answers:
irinina [24]3 years ago
3 0
Initial fee charged by Joe's canoe = $20
Hourly charge of Joe's canoe = $4
Hourly charge of Callie's canoe = $14
No initial fee is taken by Callie's canoe.
Let us assume the number of hours after which both places charges will be the same = x hours
Then
20 + 4x = 14x
20 = 14x - 4x
20 = 10x
x = 20/10
   = 2
So after 2 hours the charges taken by both of them will be the same. I hope the procedure is easy and clear enough for you to understand.
FrozenT [24]3 years ago
3 0
J=$20+$4x
C=$14x
$20+$4x=$14x
$10x=$20
x=2 hours


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Answer:

1 ft³ of gold will weigh 1209.6 pounds

1 ft³ of copper will weigh 559 pounds.

Step-by-step explanation:

We know the formula for:

Density = Mass/Volume

Hence, making mass the subject of the formula:

Mass = Density × Volume

From the question we are told:Volume of each metal = 1 ft³

1) Metal: Gold

Density of Gold = 0.70 pounds per cubic inch(lb/in³)

We convert the Volume of gold from ft³ to in³

The Volume of gold given in the question = 1 cubic foot = 1 ft³

1 cubic foot = 1728 cubic inches

Hence, the volume of Gold = 1728 in³

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2) Metal : Copper

Density of copper given in the question = 8.96 grams per cubic centimeter

Ib = pounds

We convert this density in g/cm³ to ib/in³

453.5g = 1 Ib

8.96g = a Ib

Cross Multiply

= 453.5g × a Ib =8.96g × 1 Ib

= a Ib = 8.96g × 1 Ib/453.5g

a Ib = 0.0197574421 Ib

Density of Copper = 0.0197574421 Ib/cm³

28,316.8 cm³ = 1 ft³

1 cm³ = b ft³

b ft³ = 1 cm³ × 1 ft³/28,316.8cm³

b ft³ = 0.0000353147 ft³

1 cm³ = 0.0000353147 ft³

We have to convert the density of Copper from Ib/cm³ to Ib/ft³

0.0197574421 Ib/cm³ = 0.0197574421 Ib/0.0000353147 ft³

559.46793026 Ib/ft³

Volume of copper = 1ft³

Mass = Density × Volume

Mass of copper = 559.46793026 Ib/ft³ × 1 ft³

= 559.46793026 Ib or pounds

≈ 559 pounds

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One satellite is scheduled to be launched from Cape Canaveral in Florida, and another launching is scheduled for Vandenberg Air
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