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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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3 3/5 + 9 3/5 answer with a mixed number in simplest form
Romashka [77]

Both fractions have the same denominator so it's going to be easy. First set up your equation:

3 \frac{3}{5} + 9 \frac{3}{5}

Add the whole numbers:

3 + 9 = 12

Now add the fractions:

\frac{3}{5} + \frac{3}{5} = \frac{6}{5}

add both together:

12 + \frac{6}{5} = 12 \frac{6}{5}

\frac{6}{5} is an improper fraction so change it:

12 \frac{6}{5} = 13 \frac{1}{5}

Since 6 is one more than 5, add 1 to the whole number and subtract the numerator and denominator(6 - 5 = 1) and make the remaining the new numerator. That leaves you with 13 \frac{1}{5}

Your answer is 13 \frac{1}{5}

3 0
3 years ago
PLEASE HELP!!!!!!!Find the length of the missing sides. Round your answers to the nearest tenth. (Hint: Always make sure to labe
Reptile [31]

Answer:

(9.37, 17.7) ; (14.10, 19.42); (20.8, 22.3)

Step-by-step explanation:

For the first picture :

The missing angle :

180 - (32 + 90)

180 - (122) = 58°

To obtain the length of side x:

From ptthagoras:

Tan58° = opposite / Adjacent

1.6003345 = 15 / x

x = 15 / 1.6003345

= 9.37

y = sqrt(15^2 + 9.37^2)

y = sqrt(312.7969)

y = 17.7m

2)

Missing angle :

From ptthagoras :

Sin54° = opposite / hypotenus

0.8090169 = y/ 24

y = 0.8090169 * 24

y = 19.42

x = sqrt(24^2 - 19.42^2)

x = sqrt(198.8636)

x = 14.10

3)

Sin21° = opposite / hypotenus

0.3583679 = 8 /y

y = 8 / 0.3583679

y = 22.3

x = sqrt(22.3^2 - 8^2)

x = sqrt(433.29)

x = 20.8

7 0
3 years ago
Ayesha bought a 24-pack of lip gloss for $18.96. What is the unit cost per tube of lip gloss?
bogdanovich [222]
Divide the total # of lip gloss Ayesha bought by the total cost.

24/$18.96
=$1.26582278 If the unit cost is rounded to the hundreths, it'll be $1.27.
4 0
3 years ago
Read 2 more answers
Ben uses a compass and a straightedge to bisect angle PQR, as shown below: The figure shows two rays QP and QR having a common e
masha68 [24]

Answer:

∠AQS ≅ ∠BQS when segments AQ and BQ are equal.

Step-by-step explanation:

8 0
2 years ago
Three numbers have absolute values of 2,4 and 9. The product of all the numbers is positive.
Margaret [11]
The absolute value of a number is how far away it is from 0 on a number line.
Example) 2 is two numbers away from 0, but neg. 2 (-2) is also two numbers away from 0

So basically. A positive number has the absolute value of itself. (2= a value of 2) and negative numbers have the absolute value of the positive form of that number. (-9= a value of 9)

Numbers that have the absolute value of 2: 2 and -2
Numbers that have the absolute value of 4: 4 and -4
Numbers that have the absolute value of 9: 9 and -9

You are looking to add your numbers together to make a positive.

So the answer is the positive answers to the absolute values: 2,4,9

2+4+9=15

15 is a positive number.
8 0
3 years ago
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