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ch4aika [34]
3 years ago
14

Mental Math Situation: You exercised 24 hours each month for a year. How many hours did you exercise by the end of the year? You

may be able to do the math mentally thanks to expanded notation and the Distributive Property.​
Mathematics
2 answers:
Aloiza [94]3 years ago
8 0

Answer:

So 24 hours each month times 12 would be 288 hours of working out of one year.

Hope this helps!

Step-by-step explanation:

WINSTONCH [101]3 years ago
5 0

Answer: 288h

Step-by-step explanation:

There are 12 months in a year if you exercise 24h per month you have to multiply 12 x 24 = 288h

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Alex deposited x dollars into a new account that earned 8 percent annual interest, compounded annually. One year later Alex depo
djverab [1.8K]

Answer:

D

Step-by-step explanation:

Start by writing out w in terms of x. After one year, there is 1.08*x dollars in the account. x dollars are then deposited, giving us a total of 1.08*x + x (normally we would simplify this to 2.08 but looking at the answers this is not a good idea.) Next, multiply by 1.08 to account for the 2nd year's interest. This brings to total to w = 1.08(1.08*x + x) = (1.08^2)*x + 1.08*x. Factoring out x, we are left with w = (1.08^2 + 1.08) * x. Dividing both sides by (1.08^2 + 1.08), we are left with x = w/(1.08^2 + 1.08) so the answer is d.

8 0
3 years ago
Percentage grade averages were taken across all disciplines at a particular university, and the mean average was found to be 83.
Paha777 [63]
Correct Answer:
Option A. 0.01

Solution:
This is a problem of statistics and uses the concept of normal distributions. We need to convert the score of 90 into z-score and then find the desired probability from standard normal distribution table.

Converting 90 to z-score:

z= \frac{90-83.6}{ \frac{8.7}{ \sqrt{10}} }=2.33

Now we are to find the probability of z score being more than 2.33. From the z-table the probability comes out to be 0.01.

Therefore, we can conclude that the probability of class average is greater than 90 is 0.01.
4 0
3 years ago
Students are selling raffle tickets for a school fundraiser. They collect $25 for every 10 raffle tickets sold. Rain equation th
Free_Kalibri [48]

Answer: m= $25/10 r

Step-by-step explanation:

Let m= money

r= raffle ticket

Then according to the statement

m= $25 for 10 tickets

so 10 tickets= $25

Or the equation goes,

m= $25/10 r

7 0
3 years ago
A florist was looking at her flower order. The ratio of roses to sunflowers was 4 to 9. When she was done, she realized there we
IRINA_888 [86]

Answer:

52 roses and 117 sunflowers

Step-by-step explanation:

Since the ratio of roses to sunflowers is 4:9, we can represent how many there are of each as 4x and 9x, respectively. We know that there are 65 more sunflowers than roses, so we can set up the following equation to solve for x:

4x+65=9x

Solving for x, we get:

4x+65=9x

4x+65-4x=9x-4x (Subtract 4x from both sides of the equation to isolate x)

65=5x (Simplify)

5x=65 (Symmetric Property of Equality)

\frac{5x}{5}=\frac{65}{5} (Divide both sides of the equation by 5 to get rid of x's coefficient)

x=13 (Simplify)

Therefore, since x=13, we know that there are 4x=4*13=52 roses and 9x=9*13=117 sunflowers. Hope this helps!

4 0
3 years ago
What is the length of YZ?
posledela

Answer:

28.6 units

Step-by-step explanation:

44/36=35/YZ

44 YZ = 35*36

44 YZ = 1260

YZ = 28.6 units

7 0
3 years ago
Read 2 more answers
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