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Gnesinka [82]
3 years ago
6

Billy has 1 gallon of paint. He is going to pour it into a paint tray that measures 10 inches wide, 14 inches long, and 4 cm dee

p.
(1 gallon = 231 in3, 1 inch = 2.54 cm)

Which of the following scenarios will happen?
The paint will not fill the tray by 441 cm3.
The paint will not fill the tray by 10.53 in3.
The paint will fill the tray exactly.
The paint will overfill the tray by 10.53 in3.
Mathematics
1 answer:
gregori [183]3 years ago
7 0
Ets see if the gallon fill the paint tray or not.
For that purpose we need to find out the volume of the paint tray and compare it with the volume of the gallon.
Given:
Length = 14 inches
Width = 10 inches
Depth = 4 cm = 1.57 inches

Volume = length x width x depth
Volume = 14 x 10 x 1.57
             = 220.47 inches cube
Volume of Gallon = 231 inches cube
Comparing the two volumes:
231 inches cube - 220.47 inches cube = 10.52 inches cube
Hence,
<span>The paint will not fill the tray by 10.53 in3</span>
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A kid's pool is cylindrical and has a radius of 5 feet and a height of 2 feet. If a cubic foot holds about 7.48 gallons of water
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Answer:

1,174.958 gallons


Step-by-step explanation:

Begin by finding the volume of the cylinder V= π x r² x h

V = 3.14 x 25 x 2 = 157.08

Then multiply 7.48 gallons per cubic foot

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4 years ago
Can someone help me with 19, 20, 23, and 24.
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3 years ago
Carlo wants to join the gym.The gym offers three membership options 1.Pat as you go. 2.All in one price. 3.Regular deal
iragen [17]

Answer:

This question is incomplete and lacks essential data, I have found a similar question and I am putting data below to complete this question and will try to solve this.

1. $120  = Pay as you go

2. $90 = Regular Deal

3. $100 = All in one price.

For Carlo, regular deal is the best option to choose because he goes to gym 20 times and it is least expensive.

Step-by-step explanation:

This question is incomplete and lacks essential data, I have found a similar question and I am putting data below to complete this question and will try to solve this.

Question Complete: Carlo wants to join the gym. The gym offers three membership options

1.Pay as you go = Pay only $6 each time you work out

2.Regular deal = Pay $50 a month and $2 each time you work out

2.All in one price = Pay one time $100 per month for unlimited use of our great facilities.

Carlo thinks he will go to the gym about 20 times a month.

Calculate how much each of these options would cost Carlo for one month.

Solution:

Option 1. Pay as you go:

Each time gym fee = $6

Carlo thinks he will go to gym 20 times a month

So,

Cost for option 1 = $6 x 20 = $120

Option 2. Regular deal:

$50 a month + $2 each time

So, Carlo thinks he will go to gym 20 times a month

Cost for option 2 = $50 + 20x(2$) = $90

Similarly,

Option 3. All in one price:  

Fee = one time $100 per month.

Cost for option 3 = $100 per month

Because there is not any each time visit fee in this option, so whether Carlo go to gym 20 times or 30 times a day. he will be charged a fixed fee of $100 a month.

For Carlo, regular deal is the best option to choose because he goes to gym 20 times and it is least expensive.

6 0
3 years ago
Find the first four terms of the recursive sequence defined by the following formula:
NISA [10]

Answer:

144, 36, 9, 2 \frac{1}{4}

Step-by-step explanation:

The recursive formula allows us to find a term in a sequence from the previous term.

Given

a_{n} = \frac{a_{n-1} }{4}

Given the fourth term we require to work back to the third term , second and so on. Rearrange the formula to give

Multiply both sides by 4, then

a_{n-1} = 4a_{n}

Given a₄ = 2 \frac{1}{4}, then

a₃ = 4 × a₄ = 4 × 2\frac{1}{4} = 9

a₂ = 4 × a₃ = 4 × 9 = 36

a₁ = 4 × a₂ = 4 × 36 = 144

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4 years ago
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