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Sunny_sXe [5.5K]
2 years ago
8

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

What will happen
Mathematics
1 answer:
erica [24]2 years ago
3 0

Answer:

Tray will overflow with 10.53\ \text{inch}^3 of paint.

Step-by-step explanation:

Dimensions the tray is 10 inch by 14 inch by 4 cm

1\ \text{cm}=\dfrac{1}{2.54}\ \text{inch}

4\ \text{cm}=\dfrac{4}{2.54}\ \text{inch}

Volume the tray can hold is

10\times 14\times \dfrac{4}{2.54}\ \text{in}^3

1\ \text{inch}^3=\dfrac{1}{231}\ \text{gallon}

The volume of paint Billy has is 1\ \text{gallon}

Difference in the volume of paint and volume of tray in cubic inches is

\left(1-\dfrac{10\times14\times\dfrac{4}{2.54}}{231}\right)231=10.53\ \text{inch}^3

The tray will overflow with 10.53\ \text{inch}^3 of paint.

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4 0
3 years ago
Select the correct answer from each drop-down menu. A self-service car wash charges $4 for the initial 5 minutes plus an additio
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Answer: For m\geq15

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Nick does not has enough money to follow this recommendation.

Step-by-step explanation:

Given: A self-service car wash charges $4 for the initial 5 minutes plus an additional $0.75 for each minute after that.

Let y be the cost for car wash for m minutes then

y=4+0.75(m-5) such that at m= 5 , y=4 which is the cost for car wash (dollars) for first 5 minutes.

Also, A car enthusiast magazine recommends spending at least 15 minutes to properly wash a car.

For m\geq15

\\\Rightarrow\ y=4+0.75(m-5)\geq4+0.75(15-5)\\\Rightarrow\ y\geq4+0.75(10)\\\Rightarrow\ y\geq4+7.5\\\Rightarrow\ y\geq11.5

But Nick has $10 which is less than $11.5, so he does not has enough money to follow this recommendation.

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Step-by-step explanation:

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A pudding recipe requires 2/3 of a cup of milk for every 1 3/4 cups of sugar. What is the unit rate of sugar to milk in the pudd
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Step-by-step explanation:

To prove that every point in the open interval (0,1) is an interior point of S

This we can prove by contradiction method.

Let, if possible c be a point in the interval which is not an interior point.

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Every point of S=(0, 1) is an interior point of S.

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