Answer:
B = 1.875
Step-by-step explanation:
given that A varies directly as B and inversely as C then the equation relating them is
A =
← k is the constant of variation
to find k use the condition A = 12 when B = 3 and C = 2 , then
12 =
( multiply both sides by 2 to clear the fraction )
24 = 3k ( divide both sides by 3 )
8 = k
A =
← equation of variation
when A = 10 and C = 1.5 , then
10 =
( multiply both sides by 1.5 )
15 = 8B ( divide both sides by 8 )
1.875 = B
<h3>
Answer:</h3>
63.64%
<h3>
Step-by-step explanation:</h3>
7/11 = 7/11 × 100% = (700/11)% ≈ 63.64%
_____
<em>Comment on fractions involving 11</em>
1/11 is the 2-digit repeating decimal 0.09090909...
So, any multiple of 1/11 is a 2-digit repeating decimal with the two digits being the numerator times 9.
Here, we have 7/11, so the 2-digit repeat is 7·9 = 63. That is ...
... 7/11 = 0.63636363...
I believe b and c don’t have a solution
Answer:
x=68
Step-by-step explanation:
We begin by setting up as a proportion. 99.2 and 112 ft are across from each other so we can put those as our numerators. Additionally 62 and (x+2) ft are across from each other so we can put those as denominators. Now we can set up our proportion and begin to cross multiply:
99.2/62 = 112/(x+2) is our equation. It might help you see it clearly to write it out as fractions. From here, we cross multiply.
When we do that, we get x=68
Put in order from smallest to largest
–9, –4, –1, 2, 3, 5, 7
Minimum = –9<span>
Maximum = 7
</span>Range = 7 - (-9) = 7 + 9 = 16
Range = the difference between the maximum and minimum data values
hope it helps