Answer:
4 2/3
Step-by-step explanation:
4(2x -3) + 8(x - 4) = 2(2x + 6)
Distribute
8x -12 + 8x -32 = 4x +12
Combine like terms
16x - 44 = 4x+12
Subtract 4x from each side
16x-4x-44 =4x-4x+12
12x-44 = 12
Add 44 to each side
12x-44+44 = 12+44
12x = 56
Divide each side by 12
12x/12 = 56/12
x = 14 / 3
Changing to a mixed number
x = 4 2/3
a. yes
b. yes
c. not congruent, but similar
d. ΔCDE
e. to find b we need to know DE or AC
Answer:
first prizes = $34
second prizes = $8
Step-by-step explanation:
8 × 3 = 24 100 - 24 = 76
76 ÷ 2 = 38
that was the best I could explain it sorry
<h3>Answer:</h3>
When creating a confidence interval, higher confidence corresponds to a <u> larger </u> interval, and lower confidence corresponds to a <u> smaller </u> interval.
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Explanation:
Imagine you are going fishing for an elusive sea creature of some kind. Casting a very wide net means we are more confident in catching the creature, in comparison to using a smaller net.
The fishing net is analogous to the width of the confidence interval. The wider the confidence interval, the more confident that we're capturing the parameter we're trying to measure.
25c(quarters) x 12 = $3.00
If theres 28 coins, and 12 are quarters, then that means theres 16 coins left to use for dimes.
10c(dimes) x 16 = $1.60
$3.00 + $1.60 = $4.60
Therefore, there are 12 quarters and 16 dimes.
Hope this helps! Feel free to ask any questions.