Answer:
4.62%
Step-by-Step Explanation:
Ask yourself: "3 is what percent of 65?" and solve.
Percentage solution with steps:
Step 1: We make the assumption that 65 is 100% since it is our output value.
Step 2: We next represent the value we seek with <em>x</em>.
Step 3: From step 1, it follows that 100%=65.
Step 4: In the same vein, x%=3.
Step 5: This gives us a pair of simple equations:
100%=65(1)
x%=3(2)
Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have
100% / x% =65 / 3
Step 7: Taking the inverse (or reciprocal) of both sides yields
x% / 100% =3 / 65
---> x = 4.62%
Therefore, 3 is 4.62% of 65.
I’m pretty sure the answers are B, C, and D because it is an expression because their is not equal signs, so that crosses out E, F, and G. But I’m not really sure, but all I can tell you is that it is most likely not E, F, and G
Answer:
Common difference = 2
First term = 3.
Step-by-step explanation:
3rd term = a1 + (3 - 1)d = 7 where a1 = first term and d = the common difference.
Sum of the first 12 terms = (12/2)[2a1 + (12-1)d] = 168
so 6(2a1 + 11d) = 168
So simplifying, we have the following system:
a1 + 2d = 7 ..................(A)
12a1 + 66d = 168
2a1 + 11d = 28.................(B) Multiplying equation A by - 2:
-2a1 - 4d =- -14 Adding this to equation B
7d = 14
d = 2
Now plug this into equation A:
a1 + 2(2) = 7
a1 = 7-4
a1 = 3.
Since y is directly proportional (direct proportion) to x, the value of x when y = -7.93 is equal to 1.3.
<h3>What is a direct proportion?</h3>
Mathematically, a direct proportion is also referred to as direct variation and it can be represented with the following mathematical expression:
y = kx
Where:
- y and x are the variables.
- k represents the constant of proportionality.
Since y varies directly (direct proportion) with x, the variable x and y must remain in a constant ratio.
Next, we would determine the constant of proportionality (k) as follows:
Constant of proportionality (k) = y/x
Constant of proportionality (k) = 12.2/-2
Constant of proportionality (k) = -6.1
Now, we can determine the new value of x as follows:
k = y/x
x = y/k
x = -7.93/-6.1
x = 1.3
Read more on proportionality here: brainly.com/question/12866878
#SPJ1
