Answer:
a = 40
Step-by-step explanation:
This is a multi-step equation using the distributive property and rational coefficents (fractions). The first step is to complete the distributive property on both sides of the equation and multiply each term in the expression in parenthesis by the constant on the outside. (3/4 x 2a) - (3/4 x 6) +1/2 = (2/5 x 3a) + (2/5 x 20). When we multiply and simplify, we get 3/2a - 9/2 + 1/2 = 6/5a + 8. Next step is to combine like terms: 3/2a - 8/2 = 6/5a +8. We then need to isolate the variable by using inverse operations: 3/10a = 12, then solve for 'a' by multiplying both sides by the reciprocal (10/3) to get a = 40.
Answer:
D. 3
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Step-by-step explanation:
Answer:
c) 15.33
Step-by-step explanation:
lets find the mean first
mean = sum of the data values / number of data (n)
= 75 + 83 + 96 + 100 + 121 + 125 / 6
= 600/6
= 100
Next, let 'x' represent each data value and 'a' represent the the mean
now, calculate the deviation from each data point
75 - 100 = - 25
83 - 100 = -17
96 - 100 = - 4
100 - 100 = 0
121 - 100 = 21
125 - 100 = 25
Then, find the absolute value of each deviation and sum them up
that is | a - x |
| -25 | + | -17 | + | -4 | + | 0 | + | 21 | + | 25 |
= 25 + 17 + 4 + 0 + 21 + 25
= 92
now, calculate the mean of the absolute value
92/6 = 15.33
Answer:
-8
Step-by-step explanation:
72 ÷ 9 = 8
The fish are being taken out, so negative.
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Answer:
37.5%
Step-by-step explanation:
You need to convert this fraction into a decimal to start. After you do this you need to turn the decimal into its percentage form. Soo 0.375 = 3/8 = 37.5%