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3 years ago

Two numbers are in the ratio 3:4 when 4 is added to each term their ratio becomes 10:13. Find the numbers.

1 answer:

7 0

So there’s 2 steps to this. First we subtract what was added on both sides. 10-4 : 13-4 and we get 6:9. This ratio is true, but is not in simplest form, since both numbers are divisible by 3. So after dividing both sides by 3, the answer in simplest form will be 2:3. The correct answer is 2:3

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In the triangle below, ∠Q is a right angle. Which ratio would be equivalent to the ratio of sin∠R?

MrMuchimi

Answer:

b) cos∠S

Step-by-step explanation:

sin ∠R = SQ/SR

cos S

Correct option is b)

4 0

3 years ago

For the senior pic mr. Williams is using two cylinders to help keep the food cool the inside still there with the radius of 8 in

Rasek [7]

The answer is 1,695.6 in³.

The volume of the empty space is the difference of the bigger cylinder and the smaller cylinder: V = V1 - V2

The volume of the bigger cylinder is:
V1 = π r² h
r = 10 in
h = 15 in
π = 3.14

V1 = 3.14 * 10² * 15 = 4,710 in³

The volume of the smaller cylinder is:
V2 = π r² h
r = 8 in
h = 15 in
π = 3.14

V2 = 3.14 * 8² * 15 = 3,014.4 in³

The volume of the empty space is:
V = V1 - V2 = 4,710 in³ - 3,014.4 in³ = 1,695.6 in³

4 0

3 years ago

Mr. D'Angelo hired a painter to paint the outside of his house green. The painter must mix 3 gallons of blue paint with every 5

Alborosie

Answer:

$\frac{3}{5}$

Step-by-step explanation:

3 gallons of blue paint and 5 gallons of yellow paint and this answer is a fraction so $\frac{3}{5}$ is the answer.

5 0

2 years ago

Suppose that you randomly draw one card from a standard deck of 52 cards. After writing down which card was drawn, you replace t

34kurt

Answer:

The probability is 0.0775

The expected value is 4.75 clubs

The standard deviation is 1.8875 clubs

Step-by-step explanation:

The variable X follows a binomial distribution, because we have n identical and independent events (19 cards) with a probability p of success and 1-p of fail (there is a probability of 1/4 to be club and 3/4 to be diamond, heart or spade). Then, the probability that x of the n cards are club is:

$P(x)=\frac{n!}{x!(n-x)!}*p^{x}*(1-p)^{n-x}\\P(x)=\frac{19!}{x!(19-x)!}*0.25^{x}*(0.75)^{19-x}$

So, the probability P of drawing at least 8 clubs is:

P = P(8) + P(9) + P(10) + ... + P(18) + P(19)

Replacing, the values of x, from 8 to 19, on the equation above, we get:

P = 0.0775

Additionally, the expected value E(x) and standard deviationS(x) for this distribution is given by:

E(x)=np = 19(0.25) = 4.75

$S(x)=\sqrt{np(1-p)} =\sqrt{19(0.25)(0.75)} =1.8875$

8 0

3 years ago

The formula for the cost of buying a car is:

AnnyKZ [126]

Answer:

Step-by-step explanation:

known information: Monthly payment = 350 deposit = 2000

Formula

12 X monthly payment + deposit=cost of car

12 X 350 + 2000=

12X350+2000=

Parentheses Exponents Multiplication Division Addition Subtraction

12X350=4,200

4,200+2000=6200

Don't forget the pounds sign, because it is money.

7 0

3 years ago

Two numbers are in the ratio 3:4 when 4 is added to each term their ratio becomes 10:13. Find the numbers.​

Two numbers are in the ratio 3:4 when 4 is added to each term their ratio becomes 10:13. Find the numbers.