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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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enrollment in the ski/snowboard club increased by 30% this year. there are now 182 students in the club. how many students were
eduard
Enrolement increased by 30% that means last year=100%
incease of 30%=30+100=130% now

now=182

percent means parts out of 100 so
130%=130/100=13/10


182=13/10 of x (x represents the number last year)
of means multipy so
182=13/10 times x
multiply both sides by 10/13 to clear fraction
182 times 10/13=x=140



140 students last year
8 0
3 years ago
Write the Slope-Intercept and Point-Slope forms of the line passing through the point (-3, 2) and having a slope of -4/5
weeeeeb [17]

Answer:

slope-intercept: y=\frac{-4}{5} x-\frac{2}{5}

point-slope: y-2=\frac{-4}{5} (x+3)

Step-by-step explanation:

The slope-intercept form of a line is written as y = mx + b, where m is the slope and b is the y-intercept.

The point-slope form of a line is written as y - y1 = m(x - x1), where (x1, y1) is a given point and m is the slope.

Here, we see that the slope is -4/5, which means that m = -4/5. Since we're given a point (-3, 2), let's go ahead and just write the point-slope form already. (x1, y1) = (-3, 2) so x1 = -3 and y1 = 2. Then:

y - y1 = m(x - x1)

y - 2 = (-4/5) * (x + 3)

y-2=\frac{-4}{5} (x+3)

Now, we want to find the slope-intercept form, so we need to figure out the y-intercept. Well, first, let's plug in what we know:

y = mx + b

y = (-4/5)x + b

Any point on this line will satisfy the above equation. Since (-3, 2) is on this line, if we plug -3 in for x and 2 in for y, the equation should hold true, so we can solve for b:

y = (-4/5)x + b

2 = (-4/5) * (-3) + b

2 = 12/5 + b

b = -2/5

So, the y-intercept is -2/5. Then the slope-intercept form is:

y=\frac{-4}{5} x-\frac{2}{5}

Thus, our two equations are:

slope-intercept: y=\frac{-4}{5} x-\frac{2}{5}

point-slope: y-2=\frac{-4}{5} (x+3)

8 0
2 years ago
What is the value of x in the right triangle below? Show your work and round your answer to the nearest hundredth. ​
navik [9.2K]

The length of the hypothenuse or the value of x is equal to 19.53

Data;

  • hypothenuse = x
  • adjacent = 11.2
  • opposite = 16
<h3>Pythagoras's Theorem</h3>

To solve this problem, we have to use Pythagoras's theorem which is used to find the missing side in a right angle triangle if we have at least two sides.

The formula for this is

x^2 = y^2 + z^2\\

Let's substitute the values and solve for the missing side

x^2 = 16^2 + 11.2^2 \\x^2 = 256 + 125.44\\x^2 = 381.44\\x = \sqrt{381.44} \\x = 19.53

The length of the hypothenuse or the value of x is equal to 19.53

Learn more Pythagoras theorem here;

brainly.com/question/3317136

6 0
2 years ago
If JM = 5x – 8 and LM = 2x - 6, which expression represents JL?
Anastasy [175]

Answer:

3x-2

Step-by-step explanation:

JK =JL+LM

5x-8=JL +(2x -6)

JL = 5x-8 -2x+6

JL = 3x-2

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1.5 meters will be your answer.
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