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3 years ago

What number adds 10 and multiplies 21

Mathematics

2 answers:

Ne4ueva [31]3 years ago

8 0

7 and 3. 7+3=10 and 7x3=21

BaLLatris [955]3 years ago

5 0

The numbers are 7 and 3.

7 + 3 = 10
7 x 3 = 21

It is easier to factor 21 than to find the addends of 10.

1, 3, 7, 21 - are factors of 21

1, 2, 3, 4, 5, 6, 7, 8, 9 - are addends of 10. Which is more numbers to consider than the factors of 21.

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A company is producing two types of ski goggles. Thirty percent of the production is of type A, and the rest is of type B. Five

exis [7]

Answer:

$\dfrac{14}{29}$

Step-by-step explanation:

Let P(A) be the probability that goggle of type A is manufactured

P(B) be the probability that goggle of type B is manufactured

P(E) be the probability that a goggle is returned within 10 days of its purchase.

According to the question,

P(A) = 30%

P(B) = 70%

P(E/A) is the probability that a goggle is returned within 10 days of its purchase given that it was of type A.

P(E/B) is the probability that a goggle is returned within 10 days of its purchase given that it was of type B.

$P(A \cap E)$ will be the probability that a goggle is of type A and is returned within 10 days of its purchase.

$P(B \cap E)$ will be the probability that a goggle is of type B and is returned within 10 days of its purchase.

$P(E \cap A) = P(A) \times P(E/A)$

$P(E \cap A) = \dfrac{30}{100} \times \dfrac{5}{100}\\\Rightarrow P(E \cap A) = 1.5 \%$

$P(E \cap B) = P(B) \times P(E/B)$

$P(E \cap B) = \dfrac{70}{100} \times \dfrac{2}{100}\\\Rightarrow P(E \cap B) = 1.4 \%$

$P(E) = 1.5 \% + 1.4 \% \\P(E) = 2.9\%$

If a goggle is returned within 10 days of its purchase, probability that it was of type B:

$P(B/E) = \dfrac{P(E \cap B)}{P(E)}$

$\Rightarrow \dfrac{1.4 \%}{2.9\%}\\\Rightarrow \dfrac{14}{29}$

So, the required probability is $\dfrac{14}{29}.$

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Answer: she needs 8 quart bottles.

Step-by-step explanation:

Ms. Monet is combining 15 cups of green paint with 15 cups of white paint. This means that the total number of cups containing the mixture of green and white paint us

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1 Us liquid quart = 4 Us cups

x Us liquid quart = 30 Us cups

Cross multiplying,

4x = 30

x = 30/4 = 7.5 quarts of paint

Since she is pouring the paint mixture into empty quart bottles, the number of quart bottles that she needs is approximately 8

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