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Anna007 [38]
3 years ago
11

A certain mixture of paint contains 5 parts white paint for every 4 parts blue paint. If a can of paint contains 75 ounces of wh

ite paint, how many ounces of blue paint are in the can?
Mathematics
1 answer:
Len [333]3 years ago
3 0

Answer:

60 ounces

Step-by-step explanation:

A certain mixture of paint contains 5 parts white paint for every 4 parts blue paint, that is, the white paint (w) to blue paint (b) ratio is 5:4. We can apply this ratio to different units such as ounces. This means that the mixture has 5 ounces of white paint to 4 ounces of blue paint. If a can of paint contains 75 ounces of white paint, the ounces of blue paint in the can are:

75 oz w × (4 oz b/5 oz w) = 60 oz b

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All the sides of a hexagon become three times the original length. find the ratio of areas of the new and old hexagons.
Anastaziya [24]
To determine the ratio, we need to know the formula of the area of an hexagon in terms of the length of its sides. We cannot directly conclude that the ratio would be 3, the same as that of the ratio of the lengths of the side, since it may be that the relationship of the area and length is not equal. The area of a hexagon is calculated by the expression:

A = (3√3/2) a^2

So, we let a1 be the length of the original hexagon and a2 be the length of the new hexagon.

A2/A1 = (3√3/2) a2^2 / (3√3/2) a1^2
A2/A1 = (a2 / a1)^2 = 3^2 = 9

Therefore, the ratio of the areas of the new and old hexagon would be 9.
7 0
3 years ago
Determine whether or not the following graph represents two quantities that are proportional to each other. Explain your reasoni
m_a_m_a [10]

Answer:

Not proportional.

Step-by-step explanation:

The values do not begin from a straight line at the origin. X begins at 2, not the origin.

4 0
3 years ago
The formula r = d/t gives the rate r for a distance d traveled in an amount of time t. A trip of 120 miles takes 2.5 hours. What
Vesnalui [34]
It is A, 48 mph...........
7 0
3 years ago
Dorothy's dietary intake for one day consisted of 250 grams of carbohydrate, 60 grams of protein, and 40 grams of fat. What perc
tester [92]

Answer:

\%Percent = 17.14\%

Step-by-step explanation:

Given

Carbohydrate = 250\ g

Protein = 60\ g

Fat = 40\ g

Required

Determine the percentage of protein

First, we need to calculate the total:

Total = Carbohydrate + Protein + Fats

Total = 250\ g + 60\ g + 40\ g

Total = 350\ g

Percentage of protein is calculated as thus:

\%Percent = \frac{Protein * 100\%}{Total}

\%Percent = \frac{60 * 100\%}{350}

\%Percent = \frac{6000\%}{350}

\%Percent = 17.14\%

4 0
3 years ago
A water tank already contained 24 gallons of water before a pump was switched to fill it. The pump started at 10:00 am and by 10
grigory [225]

Answer:

The equation to represent  the amount of water that the tank contains (W) after the pump was working for T hours can be given as:

W=32T+24

Step-by-step explanation:

Given:

Water tank initially contained = 24 gallons of water

The pump to fill the tank was switched to fill it.

From 10:00 AM to 10:30 AM the tank contained 40 gallons of water.

By 1:00 PM the tank contained 120 gallons of water.

To write an equation  which will tell the amount of water that the tank contains (W) after the pump was working for T hours

Solution:

Initially, gallons of water in tank = 24

From 10:00 AM to 10:30 AM the tank had 40 gallons of water.

Thus, in half an hour the pump filled = 40-24 = 16 gallons

Using unitary method:

If in \frac{1}{2} of an hour water filled = 16 gallons

So, in 1 hour the water filled will be = 16\times 2 = 32 gallons

In 3 hours the water filled will be = 32\times 3 = 96 gallons

Thus, by 1:00 PM the water in the tank will be = 96+24 = 120 gallons

This confirms the data given for 1:00 PM.

This shows that the rate at  which the pump fills the tank is 32 gallons of water per hour.

The equation to represent  the amount of water that the tank contains (W) after the pump was working for T hours can be given as:

W=32T+24

4 0
3 years ago
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