Answer:
Step-by-step explanation:
d = c-b / a-n
Make b the subject
d (a - n) = c - b
-b = d (a - n) / c
Divide both sides by - 1
-b / -1 = d (a - n) / c ÷ -1
b = d (a - n) / c × 1/-1
= d(a - n) / - c
= ad - an / - c
The options given doesn't match the final answer
Answer:
3
Step-by-step explanation:
Evaluate x/4 + 6 (x - 12) where x = 12:
x/4 + 6 (x - 12) = 12/4 + 6 (12 - 12)
Hint: | Reduce 12/4 to lowest terms. Start by finding the GCD of 12 and 4.
The gcd of 12 and 4 is 4, so 12/4 = (4×3)/(4×1) = 4/4×3 = 3:
3 + 6 (12 - 12)
Hint: | Look for the difference of two identical terms.
12 - 12 = 0:
6×0 + 3
Hint: | Any number times zero is zero.
0×6 = 0:
0 + 3
Hint: | Simplify the expression.
Write 3 + 0 as 3:
Answer: 3
C; You know this because it asks for a dependent event. This means that a first event must occur that automatically changes the results for the following events. When you see dependent, look for without replacement.
Answer:
c. Change the length of side CB to 8 feet
Step-by-step explanation:
If the figures are similar, the ratios should be the same
Take the side of the larger triangle over the same side of the smaller
PR PQ RQ
----------- = --------------------= ----------------
AC AB CB
7.5 5 10
----------- = --------------------= ----------------
6 4 9
7.5 /6 = 1.25
5/4 = 1.25
10/9 =1.1111(repeating)
The bases are not in the right ratio. RQ over CB = 1.25. Since RQ = 10 and the ratio is 1.25, we can solve for CB
10/CB = 1.25
Multiply by CB on each side
10 = 1.25CB
Divide by 1.25 on each side
10/1.25 = CB
8 =CB
Answer:
3.25 > 3 1/4 because 3 1/4 as a decimal is 0.75