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nikdorinn [45]
3 years ago
15

In order to make a specific shade of green paint, a painter mixes 1 and 1/2 quarts of blue paint, 2 cups of green paint, and 1/2

gallon of white paint. How much of each color is needed to make 100 cups of this shade of green paint?
Mathematics
1 answer:
Svetlanka [38]3 years ago
6 0

<u>Answer</u>:

To make 100 cups of the required shade of green the amount of blue, green and white paint required is 150 cups, 200 cups and 50 gallons respectively.

<u>Step-by-step explanation:</u>

We have been given that in order to make a specific shade of green paint, a painter mixes 1 and 1/2 quarts of blue paint, 2 cups of green paint, and 1/2 gallon of white paint.  

We need to find out how much of each colour is needed to make 100 cups of this shade of green paint.

Assuming that the given data is to make 1 cup of the required shade of green, we now need to find the amount of colours needed to make 100 cups of this shade of green paint.

For 1 cup of the required green paint 1.5 cups of blue paint is used, hence for 100 cups the amount of blue paint required is:

=100 x 1.5=150

For 1 cup of the required green paint 2 cups of green paint is used, hence for 100 cups the amount of green paint required is:

=100 x 2=200

Similarly, for 1 cup of the required green paint 0.5 gallons of white paint is used, hence for 100 cups the amount of white paint required is:

=100  x 0.5=50

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its question #2 my son and I cannot figure out how to do this other than dividing. however, when u divide 59 into 422, are you s
anyanavicka [17]
Honestly I can see an argument for 7 shelves or for 8 shelves. 

When you do the calculation; \frac{422}{59}=7.15 You get 7.15 shelves. Clearly you cannot have .15 of a shelf so the logician in me wants to say you need 8 shelves! 

But if the assignment is aimed estimation skills, (Which is what I assume is being implied by the title of the assignment), then the easier calculation of \frac{420}{60}=7 is probably what the teacher was hoping for.

You might have been accidentally been calculating \frac{59}{422} =.139. Remember division is NOT communitive! i.e.1\div2\neq2\div1.

From the image;
The first step was to see that 59 can not go into 4..resulting in the zero above the 4, multiplying 0 by 59 and subtracting 0 from 4. 

The second step begins by bringing down the 2, seeing that 59 can not go into 42..resulting in the zero above the 2, multiplying 0 by 59 and subtracting 0 from 42.

The third step begins by bringing down the 2, seeing that 59 can go into 422 7 times (I tested this on the right by a short multiplication problem)..resulting in the 7 above the 2, multiplying 7 by 59 and subtracting 413 from 42.

This process continues....

8 0
3 years ago
Read 2 more answers
1 Pound brown sugar is equivalent to _____ cups
iogann1982 [59]

Answer:

3 1/2 or said as 3.5 cups is equal to 1 pound

Step-by-step explanation:

1 Pound brown sugar is equivalent to ___3 1/2 or 3.5 __ cups

Hope This Helped

7 0
1 year ago
A Ferris Wheel is built such that the height in feet above ground of a seat on the wheel at time t seconds can be modeled by h(t
MAVERICK [17]

Answer:

at time, t = 8 seconds and t = 24 seconds Ferris Wheel be 53 feet above the ground

Step-by-step explanation:

Data provided in the question:

height in feet above ground of a seat on the wheel at time t seconds is

modeled as

h(t) = 53 + 50\sin((\frac{\pi t}{16} - \frac{\pi}{2})

now,

at height 53 above the ground, we get the equation as:

53 = 53 + 50\sin(\frac{\pi t}{16} - \frac{\pi}{2})

or

50\sin(\frac{\pi t}{16} - \frac{\pi}{2}) = 53 - 53

or

\sin(\frac{\pi t}{16} - \frac{\pi}{2}) = 0

also,

sin(0) = 0

and,

sin(π) = 0

therefore,

(\frac{\pi t}{16} - \frac{\pi}{2}) = 0

or

\frac{\pi t}{16} = \frac{\pi}{2}

or

t = 8 seconds

and,

(\frac{\pi t}{16} - \frac{\pi}{2}) = π

or

\frac{\pi t}{16}= \pi + \frac{\pi}{2}

or

\frac{\pi t}{16}= \frac{3\pi}{2}

or

t = 24 seconds

Hence,

the at time, t = 8 seconds and t = 24 seconds Ferris Wheel be 53 feet above the ground

7 0
3 years ago
The midpoint of stack A B with bar on top has coordinates of (4, -9). Endpoint A has coordinates (-3, -5). What are the coordina
Radda [10]
I think it's B with the bar on top
3 0
3 years ago
Is the following shape a rectangle? How do you know?
daser333 [38]

Answer: It might be a no answer. I don't know which one. I'm so sorry if I'm wrong.

6 0
2 years ago
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