How should you write the proportion 9:36 = 10:40 using words? A. 9 is to 36 as 10 is to 40
B. 9 is to 10 as 36 is to 40
C. 9 is to 36 as 40 is to 10
D. 36 is to 9 as 10 is to 40

Answers

Answer 1

Answer: A, because you follow the numbers and just put "is to" and "as" in the middle.

Answer 2

Answer: The answer would be A.
first is to last as first is to last

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Who is good with algebra 1 /2 ?. i need help with it for my homework.

Answers

i do what do you need help with

Jack is playing a game where he flips a coin and rolls a number cube labeled 1 through 6. He listed the possible outcomes in the sample space shown below.{(H, 2), (H, 3), (H, 4), (H, 5), (H, 6), (T, 1), (T, 2), (T, 3), (T, 4), (T, 5)}

Which two elements did he leave out by mistake?

(H, 1) and (T, 6)
(H, 6) and (T, 1)
(H, 2) and (T, 6)
(T, 1) and (T, 6)

Answers

Answer: The correct option is (A) (H, 1) and (T, 6).

Step-by-step explanation: Given that Jack is playing a game where he flips a coin and rolls a number cube labeled 1 through 6.

Jack listed the possible outcomes in the sample space 'S'' as follows:

S' = {(H, 2), (H, 3), (H, 4), (H, 5), (H, 6), (T, 1), (T, 2), (T, 3), (T, 4), (T, 5)}

We are given to select the correct option that contains the two elements Jack left out by mistake.

The sample space for the event of flipping a coin is {H, T}

and

the sample space for the event of rolling a number cube labeled 1 through 6 is {1, 2, 3, 4, 5, 6}.

Let, 'S' represents the actual sample space for the event.

Then, we get

S = {(H, 1), (H, 2), (H, 3), (H, 4), (H, 5), (H, 6), (T, 1), (T, 2), (T, 3), (T, 4), (T, 5), (T, 6)}.

Comparing S with S', the two missing elements were (H, 1) and (T, 6).

Thus, the correct option is (A).

The answer is (H, 1) and (T, 6)

Translate the phrase into an algebraic expression. The sum of 9 and w

Answers

The algebraic expression for the sum of 9 and w is 9+x

Answer:9+w

Step-by-step explanation:

Caroline bought 20 shares of stock at 101/2, and after 10 months the value of the stocks was 111/4. If Caroline were to sell all her shares of this stock, how much profit would she make? A. $10 B. $15 C. $225 D. $210

Answers

Answer:

$15 profit would Caroline make .

Option (B) is correct .

Step-by-step explanation:

As given

$Caroline\ bought\ 20\ shares\ of\ stock\ at\ 10 (1)/(2).$

i.e

$Caroline\ bought\ 20\ shares\ of\ stock\ at\ (21)/(2).$

$After\ 10\ months\ the\ value\ of\ the\ stocks\ was\ 11 (1)/(4).$

i.e

$After\ 10\ months\ the\ value\ of\ the\ stocks\ was\ (45)/(4).$

Thus

Profit = (Cost of the 20 stock after 10 month - Cost of the 20 stock before 10 month ) × Total number of shares .

$Profit = ((45)/(4) - (21)/(2))* 20$

L.C.M of (4,2) = 4

$Profit = (45 - 21* 2)/(4)* 20$

$Profit = (45 - 42)/(4)* 20$

$Profit = (3)/(4)* 20$

Profit = 3 × 5

Profit = $15

Therefore the $15 profit would Caroline make .

Option (B) is correct .

Your answer will be $15.

An example of a plane geometric surface is the A. side of a cylinder.
B. surface of a sphere.
C. side of a cone.
D. side of a box.

Answers

In geometry, a plane is a flat surface without thickness. It only has a length and a width or an x and a y.

An example of a plane geometric surface is the D.Side of a box.

Side of a cylinder, surface of a sphere, side of a cone are not examples of a plane geometric surface. These sides are round and not flat.

Find the product.

x 3(x 2 + 5x + 1)

Answers

The required product of expression x³(x² + 5x + 1) is x⁵ + 5x⁴ + x³.

What is the distributive property of a product?

The distributive property of multiplication (also known as the distributive property of product over addition) is a fundamental property of arithmetic that helps simplifyexpressions involving multiplication and addition. It states that for any three numbers a, b, and c:

a * (b + c) = a * b + a * c

Here,
We can use the distributive property of multiplication to expand the product:

x³(x² + 5x + 1) = x³x² + x³5x + x³*1

Simplifying each term, we get:

x³x² = x³⁺² = x⁵

x³5x = 5x¹⁺3 = 5x⁴

x³*1 = x³

Setting it all together, we have:

x³(x² + 5x + 1) = x⁵ + 5x⁴ + x³

Therefore, the product is x⁵ + 5x⁴ + x³.

Learn more about the distributive property here:

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