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3 years ago

Write out the following proportions in words. a. 7 :28 = 2 : 8 b. 3⁄1 = 18⁄6 c. 9 : 72 = 2 : 16 d. 81⁄9 = 45⁄5

2 answers:

8 0

1) Proportion a.

7 : 28 = 2 : 8

That means that the ratio 7 / 28 is equal to the ratio 2 : 8.

You can verify the equality by simplifying to the simplest form:

 7 : 28 = 1 / 4 simplest form
 2 : 8 = 1 / 4 simplest form, then the proportion is right.

In words that is 7 is to 28 as 1 is to 4 ← answer

2) Proportion b.. 3⁄1 = 18⁄6


In words: 3 is to q as 18 is to 6 ← answer


You can verify the proportion by simplifiying the second fraction:


 18 / 6 = [18 / 6] / [ 6 / 6] = 3 / 1


3) Proportion c. 9 : 72 = 2 : 16


In words: 9 is to 72 as 2 is to 16 ← answer


Proove the proportion:


 9 / 72 = 1 / 8


 2 / 16 = 1 / 8


4) Proportion d. 81⁄9 = 45⁄5

In words: 81 is to 9 as 45 is to 5 ← answer

Proove it:
 81 / 9 = 9
 45 / 9 = 9

Papessa [141]3 years ago

5 0

Answer:

a. 7 is to 28 as 2 is to 8

b. 3 is to 1 as 18 is to 6

c. 9 is to 72 as 2 is to 16

d. 81 is to 9 as 45 is to 5

Step-by-step explanation:

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Molly opened a savings account with a one‐time deposit of $100 that will be left in the account for at least 5 years. The saving

Anettt [7]

The amount of interest Molly will earn after 5 years on a deposit of $\$100$ compounded annually over 5 years is $\$27.63$

First, we need to find the future value of her investment, then we subtract the original deposit from it to get the amount of interest she will get at the end of 5 years.

The future value of an investment that is compounded annually is given by

$A=P(1+r)^t$

where

$A=\text{Amount of money in Molly's account after 5 years}\\P=\text{Molly's initial deposit into her account}=\$500\\r=\text{The annual interest rate as a decimal}=0.05\\t=\text{The time the money is invested (in years)}=5$

Substituting the available values into the formula and solving

$A=100(1+0.05)^5=100(1.05)^5 \approx \$ 127.63$

The interest Molly will earn after 5 years is

$A-P=\$127.63-\$100=\$27.63$

Therefore, the amount of interest Molly will earn after 5 years on a deposit of $\$100$ compounded annually over 5 years is $\$27.63$

Learn more about compound interest here: brainly.com/question/21270833

8 0

3 years ago

What is the minimum number of binary bits needed to represent each of the following unsigned decimal integers? a. 65

professor190 [17]

Answer: N >/= 7 bits

Minimum of 7 bits

Step-by-step explanation:

The minimum binary bits needed to represent 65 can be derived by converting 65 to binary numbers and counting the number of binary digits.

See conversation in the attachment.

65 = 1000001₂

65 = 7 bits :( 0 to 2^7 -1)

The number of binary digits is 7

N >/= 7 bits

7 0

3 years ago

Read 2 more answers

What is the length of the segment joining the points at (-6, 8) and (6, 3)?

melisa1 [442]

Answer:

13 units

Step-by-step explanation:

So the length of those 2 points is 6+6 = 12.

The height would be 8-3 =5

Using pythagoras, you can find out the length of the line joining the 2 points so:

$5^2 + 12^2 = 169$

$\sqrt{169} = 13$ units

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2 years ago

A fair dice is rolled.

shutvik [7]

Answer:

The probability of getting a factor of 12 on a fair dice is 5/6 or approximately 83%.

Step-by-step explanation:

Probability is expressed as a fraction where the denominator is the total number of outcomes and the numerator is the number of desired outcomes. In this case, the desired outcome is any factor of 12. The factors of 12 are the numbers we multiply together to get that number: 1, 2, 3, 4, 6 and 12. Since a fair dice has the total outcomes of either 1, 2, 3, 4, 5 or 6, then the total outcomes is 6 and the possibility that we could roll the desired outcome (factor of 12) is 5, the probability is 5 out of 6 or 5/6, which when divided is approximately 83%.

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3 years ago

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yanalaym [24]

Answer:

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Step-by-step explanation:

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