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Artemon [7]
3 years ago
5

The basic ratio of blue to red for paint is 4:7. How many quarts of blue paint should be mixed with 21 quarts of red paint to ge

t purple?
Mathematics
1 answer:
const2013 [10]3 years ago
7 0
If I’m not mistaken it should be 12 quarts of blue mixed with 21 red
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The midpoint of CD is M=(1, 2). One endpoint is C = (6, -2).
Zina [86]

Answer: Endpoint = (-4,6)

Step-by-step explanation:

To find any endpoint use the formula \frac{x_1+x_2}{2} = Xmp    \frac{y_1+y_2}{2} =Ymp

\frac{6+x_2}{2} = 1          \frac{-2+y_2}{2} =2    

multiply each by 2  to simplify

\frac{6+x_2}{2*2} = 1*2 = {6+x_2}= 2    \frac{-2+y_2}{2*2} =2*2 = -2+y_2=4 take the equations and simplify

6+x_{2} = 2                          -2+y_{2} = 4  =  

-6       -6                          +2       +2

   x_{2} = -4                               y_{2} =  6

To check use the Midpoint formula

\frac{-4+6}{2} , \frac{6-2}{2}  = \frac{2}{2} , \frac{4}{2}  = (1,2)

8 0
3 years ago
Item 19 The scale on a map is 1 cm:30 mi. The distance on the map between San Francisco, CA, and Chicago, IL, is 61.9 cm. What i
Harlamova29_29 [7]

Answer:

1857 miles.

Step-by-step explanation:

We have been given that the scale on a map is 1 cm:30 mi. The distance on the map between San Francisco, CA, and Chicago, IL, is 61.9 cm. We are asked to find the actual distance between San Francisco and Chicago.

We will use proportions to solve our given problem.

\frac{\text{Actual distance}}{\text{Map distance}}=\frac{30\text{ miles}}{1\text{ cm}}

Upon substituting map distance between San Francisco and Chicago, we will get:

\frac{\text{Actual distance}}{61.9\text{ cm}}=\frac{30\text{ miles}}{1\text{ cm}}

\frac{\text{Actual distance}}{61.9\text{ cm}}\cdot 61.9\text{ cm}=\frac{30\text{ miles}}{1\text{ cm}}\cdot 61.9\text{ cm}

\text{Actual distance}=30\text{ miles}\cdot 61.9

\text{Actual distance}=1857\text{ miles}

Therefore, the actual distance between San Francisco and Chicago is 1857 miles.

4 0
3 years ago
A store sells four-packs of permanent markers in assorted colors for $3.19 per pack. All spiral-bound notebooks, whether wide-ru
Gekata [30.6K]

Answer: (x3.19+y1.20 + z1.20) x 1.06

Step-by-step explanation:

Hi, to answer this question we have to write an expression.

Four-packs of permanent markers in assorted colors for $3.19 per pack.

3.19 x (x number of packs purchased)

spiral-bound notebooks, whether wide-ruled or college-ruled, sell for $1.20 each

1.20 y + 1.20 z (y wide-ruled notebooks, and z college-ruled notebooks)

The store charges a 6% sales tax on Cleo’s total bill, so we have to multiply the expression by 1+ 0.06 ( 1+ tax percentage in decimal form)

(x3.19+y1.20 + z1.20) x 1.06

8 0
3 years ago
Solve the following system of equations and show all work. <br><br> y = -x^2 + 4<br> y = 2x + 1
Pavel [41]
-x^2 + 4 = 2x + 1
-x^2 - 2x + 4 - 1 = 0
-x^2 - 2x + 3 = 0
(x + 3)(-x + 1)= 0

x + 3 = 0           -x + 1 = 0
x = -3                -x = -1
                          x = 1

so x = -3 and x = 1
8 0
4 years ago
How do you calculate 278 × 11 using estimation?<br>​
neonofarm [45]

Answer:

2800

Step-by-step explanation:

round 278 to 280

then round 11 to 10

then times the 2 answers together

8 0
3 years ago
Read 2 more answers
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