Answer:
- - 127/7 or - 18 1/7
- - 100/7 or - 14 2/7
- -73/7 or -10 3/7
- -46/7 or - 6 4/7
- -19/7 or - 2 5/7
- 8/7 or 1 1/7
Step-by-step explanation:
<h3>Given </h3>
- AP with the first term of -22 and eighth term of 5
<h3>To find </h3>
<h3>Solution</h3>
<u>AP formula:</u>
<u>Using the given points we find the common difference:</u>
a₁ = -22 and a₈ = 5
- a₈ = a₁ + 7d
- 5 = -22 + 7d
- 7d = 5 + 22
- 7d = 27
- d = 27/7
<u>Now the missing terms:</u>
- a₂ = -22 + 27/7 = - 127/7 or - 18 1/7
- a₃ = -22 + 2(27/7) = - 100/7 or - 14 2/7
- a₄ = -22 + 3(27/7) = -73/7 or -10 3/7
- a₅ = -22 + 4(27/7) = -46/7 or - 6 4/7
- a₆ = -22 + 5(27/7) = -19/7 or - 2 5/7
- a₇ = -22 + 6(27/7) = 8/7 or 1 1/7
Answer:
Range = <em>18</em>
Step-by-step explanation:
5, 7, 8, 8, 15, 23
Range: Highest value (number) - Lowest value (number) = final answer
Range: 23 - 5 = 18
There are 8 ounces in a cup, so there are 125 cups in 1000 ounces.
1000 / 8 = 125
there are 60 minutes in an hour and 120 minutes in 2 hours
so 1000 ounces / 2 hours is
125 cups / 120 minutes
125 / 120 = 1.04 cups per minute
Check your work
multiply times 60 to get cups per hour
1.04 * 60 = 62.4 cups per hour
multiply times 8 to get ounces per hour
62.4 * 8 = 499.2
multiply times 2 to get ounces per 2 hours
499.2 * 2 = 998.4
the number is not quite 1000 due to rounding the 125 / 120 as it is closer to 1.041666666666667
Answer:
Devon
Step-by-step explanation:
lets use t=1 to compare
1. -5(12t+9)
if t = 1, -5(12+9) = -5(21) = negative number
2. 2(-6t-8)
if t = 1, 2(-6-8) = 2(-14) = negative number
3. -6(-2t+18)
if t = 1, -6(-2+18) = -6(16) = negative number
4. (-4(-3t-2)
if t = 1, -4(-3-2) = -4(-5) = 20 positive number
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Ans : 126 ( to 3 sf )
workings in the pic below :)