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jok3333 [9.3K]
3 years ago
9

CAn you help me with ratios? Mrs. Sturkie mixed 3 quarts of blue paint and 2 quarts of red paint to make purple paint to her cla

ssroom. Find the unit ratios. How much red paint does she need if she has 1 quart of blue paint? How much blue paint does she need if she has 1 quart of red paint?
Mathematics
1 answer:
fredd [130]3 years ago
3 0
So as we already know the ratio is 3 quarts blue paint to 2 quarts red paint, also written as 3:2. if she only has 1 quart blue paint she will need half of a quart of red paint because the ratio has to remain the same amount. if you multiply one side then you must multiply the other. same goes with division. If she only has 1 quart of red paint then that shows she divided the 2 red by 2. There fore you would have to divided the 3 by 2 in order to get 1.5 which would then make the ratio 1.5:1
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You roll two six-sided dice. Match each event with its probability.
Nina [5.8K]

Answer:

A) probability the sum is 8 or 11= 4/21

B) probability that sum is 12 or less than 10 = 6/7

C) Probability that the sum is 3 or less than 3 = 2/21

D) Probability that the sum is 2 or 10 = 1/7

Step-by-step explanation:

Since we have the same probability of each event in each dice, the answer would be just to check the different outcomes, two dices, each with 1 to 6;

(1,1);(1,2);(1,3);(1,4);(1,5);(1,6);(2,2);(2,3);(2,4);(2,5);(2,6);(3,3);(3,4);(3,5);(3,6);(4,4);(4,5);(4,6);(5,5);(5,6);(6,6)

Thus, there are 21 possible outcomes.

Now,

A) probability that the sum is 8 or 11;

From the outcomes above, the number of outcomes that have a sum as 8 or 11 are;

(2,6) ; (3,5) ; (4,4) ; (5,6)

So,probability = 4/21

B) From the outcomes above, the number of outcomes that are 12 or less than 10 are;

(1,1);(1,2);(1,3);(1,4);(1,5);(1,6);(2,2);(2,3);(2,4);(2,5);(2,6);(3,3);(3,4);(3,5);(3,6);(4,4);(4,5);(6,6).

There are 18 possible outcomes.

So, probability that sum is 12 or less than 10 = 18/21 = 6/7

C)From the initial 21 outcomes, the number of outcomes that the sum is 3 or less than 3 are;(1,1);(1,2)

Thus,

Probability that the sum is 3 or less than 3 = 2/21

D) From the initial 21 outcomes, the number of outcomes that the sum is 2 or 10 are;

(1,1); (4,6) ; (5,5)

Thus,

Probability that the sum is 2 or 10 = 3/21 = 1/7

6 0
3 years ago
Rewrite each subtraction problem as a addition problem x-156=279​
Sauron [17]

Answer:

the answer is 123 123+156=279.

4 0
3 years ago
Denise is checking to determine if the expressions x+x+6 and 4+3x-2 are equivalent. When x=4, she correctly found that both expr
gayaneshka [121]
The answer would be 8 when the value of x = 2
3 0
3 years ago
Read 2 more answers
John and Kamira are playing a game. John's score (J) and Kamira's score (K) after round 1 are shown on the number line.
IRINA_888 [86]

Complete question :

John and Kamira are playing a game. John's score (J) and Kamira's score (K) after round 1 are shown on the number line.

The score recorded at the end of the first round is 2.

What could this score represent?

Options :

the sum of John's score and Kamira's score

the difference between John's score and Kamira's score

the absolute value of the difference of John's score and Kamira's score

the sum of the absolute value of John's score and the absolute value of Kamira's score

Answer:

the sum of John's score and Kamira's score

Step-by-step explanation:

Given that :

The score recorded at the end of the round is 2

From the attached number line :

John's score = - 5

Kamira's score = 7

Sum = - 5 + 7 = 2

Difference = - 5 - 7 = - 12

Sum of absolute value = 5 + 7 = 12

absolute value of difference = 12

3 0
3 years ago
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Solve for x? I don't think any angle is a 90 degree angle. I didn't draw it exactly right.
Ulleksa [173]
From cosine law
c^2 = a^2 + b^2 -2abcos(C)
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this formula will solve your problem
4 0
3 years ago
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