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GrogVix [38]
3 years ago
8

The graph shows the proportions of red and blue food coloring that Taylor mixes to make the purple frosting. What is the slope o

f the line? Tell what it means in the problem situation. The graph is ( 50, 70 ) ( 25, 35 )

Mathematics
1 answer:
Agata [3.3K]3 years ago
5 0

Answer:

The slope is 7/5

Step-by-step explanation:

Here, we want to find the slope of the line

We use the slope equation

m = (y2-y1)/(x2-x1)

m = (35-70)/(25-50) = -35/-25 = 7/5

what it means is that the rate of change of the number of red drops to number of blue drops to form the purple color is in the ratio of 7 to 5

Or simply put

To form a purple color, add 7 part red to 5 parts blue drops

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One number is eight less than a second number. Five times the first is 6 more than 6 times the second. Find the numbers.
-Dominant- [34]

Answer:

-42/11

Step-by-step explanation:

x = y - 8

5x = 6 - 6y

So now solve the system of equations, divide everything in the second equation by 5 to get it to x = 6/5 - 6y/5

Now...

x = y - 8

x = 6/5 - 6y/5

Now substitute first equation into the second and x is gonna be -42/11 or the first number

5 0
3 years ago
Please help
Firdavs [7]

Answer:

(–10, –2), (6, 6)

Step-by-step explanation:

we know that

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

<u><em>Verify each case</em></u>

case 1) (5, –4), (–2, 1)

substitute in the formula

m=\frac{1-(-4)}{-2-5}

m=\frac{1+4}{-2-5}

m=\frac{5}{-7}

m=-\frac{5}{7}  ----> the slope is negative

case 2) (6, –10), (2, 10)

substitute in the formula

m=\frac{10-(-10)}{2-6}

m=\frac{10+10}{2-6}

m=\frac{20}{-4}

m=-5  ----> the slope is negative

case 3) (–10, –2), (6, 6)

substitute in the formula

m=\frac{6-(-2)}{6-(-10)}

m=\frac{6+2}{6+10}

m=\frac{8}{16}

m=0.5  ----> the slope is positive

case 4) (5, –1), (–6, 6)

substitute in the formula

m=\frac{6-(-1)}{-6-5}

m=\frac{6+1}{-6-5}

m=\frac{7}{-11}

m=-\frac{7}{11}   ----> the slope is negative

3 0
3 years ago
How much greater is 28.95 than 14.25?
patriot [66]
28.95 is 14.7 greater than 14.25
7 0
3 years ago
If ΔABC ΔDEC, what is m∠D? A. 40° B. 150° C. 60° D. 80°
Nina [5.8K]
I think that the best answer here would be that A = 40 degrees. 
6 0
3 years ago
X + 4 &lt; 8 HELP please
labwork [276]

Answer:

x + 4 < 8

   - 4    -4

x < 4

Step-by-step explanation:

So, Basically anything less than 4 is a solution for this equation.

5 0
3 years ago
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