Answer: 9/14 of a pound each day.
Step-by-step explanation:
We can convert the mixed fraction into an improper fraction:
4 1/2 → 9/2
Now we divide by 7, since there are 7 days in a week:
9/2 ÷ 7
When we divide, by a number, it can be placed in the denominator:
9/2*7 = 9/14
There's no other way to simplify it, so that's our final answer.
Answer:
The equation that can be used to determine the number of rounds that Emma golfs is:
x=(c-7.50)/6.25
Step-by-step explanation:
From the information given, the total amount Emma pays to go miniature golfing is equal to the price of the admission ticket plus the result of multiplying the price per round of golf for the number of rounds and according to this, the equation would be:
c=7.50+6.25x, where:
c is the total cost for Emma to go miniature golfing
x is the number of rounds
Now, you can solve for x to determine the equation that can be used to find the number of rounds that Emma golfs:
x=(c-7.50)/6.25
You can replace c with 26.25:
x=(26.25-7.50)/6.25
x=18.75/6.25
x=3
The ratio of the number of female attendants to the number of male attendants is 21/17
<h3>Ratio</h3>
- Amount donated by female attendant = $1200
- Amount donated by male attendant = $800
- Average donation = $900
let
- number of female attendant = x
- number of male attendant = y
900 = 1200x + 800y / (x + y)
900x + 900y = 1200x + 800y
900x + 1200x = 800y + 900y
2100x = 1700y
x : y = 2100 / 1700
x : y = 21 ; 17
Learn more about ratio:
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<h3>
Answer: Approximately 2.1667</h3>
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Explanation:
First we need to find the arithmetic mean.
Add up the values to get 3+8+6+9+2+5 = 33
Divide this over 6 because there are 6 values: 33/6 = 5.5
The mean is 5.5
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Subtract the mean from each data value. Apply absolute value to ensure the result is not negative.
- |3 - 5.5| = |-2.5| = 2.5
- |8 - 5.5| = |2.5| = 2.5
- |6 - 5.5| = |0.5| = 0.5
- |9 - 5.5| = |3.5| = 3.5
- |2 - 5.5| = |-3.5| = 3.5
- |5 - 5.5| = |-0.5| = 0.5
Each result represents how far that specific data value is from the mean. Absolute value is used to find distance on a number line.
Add up each of those results to get: 2.5+2.5+0.5+3.5+3.5+0.5 = 13
Then divide by 6 to find the average: 13/6 = 2.1667 which is approximate
The mean absolute deviation represents the average distance any given value is from the mean. The term "deviation" refers to how far each data value is from the mean, which is the center point we're after more or less.
The MAD (mean absolute deviation) effectively measures how spread out the data set is. The larger the MAD, the more spread out the data is likely to be. The range, standard deviation and variance are also measures of spread.
Answer:
21.4 m
Step-by-step explanation:
Let x represent the sum of the tall metal, medium metal and short metal heights. Since the tall metal has a length of 1.44 m, and the ratio is in 9:8:7, hence:
(9/24) * x = 1.44
x = 3.84 m
For the medium metal pieces:
(8/24) * 3.84 = medium metal height
medium metal height = 1.28 m
For the short metal pieces:
(7/24) * 3.84 = short metal height
short metal height = 1.12 m
Total horizontal metal piece length = 3 * 1.8 m = 5.4 m
Total tall metal piece length = 2 * 1.44 m = 2.88 m
Total medium metal piece length = 5 * 1.28 m = 6.4 m
Total short metal piece length = 6 * 1.12 m = 6.72 m
Total length of metal = 5.4 + 2.88 + 6.4 + 6.72 = 21.4 m
