Answer:
a) 6.67% b) 500% c) 40% d) 7.5%
Step-by-step explanation:
a. ? % of 75 = 5
<em>Let ? be y.</em>
<em>Of means multiply so we will replace it with a multiplication sign.</em>
<em>y% x 75 = 5</em>
<em>y% = 5/75</em>
<em>y% = 1/15 x 100</em>
y = 6.67 %
b) ?% of 28 = 140
<em>Let ? be y.</em>
<em>Of means multiply so we will replace it with a multiplication sign.</em>
<em>y% x 28 = 140</em>
<em>y% = 140/28</em>
<em>y% = 5</em>
<em>y = 5 x 100</em>
y = 500%
c) ?% of 100 = 40
<em>Let ? be y.</em>
<em>Of means multiply so we will replace it with a multiplication sign.</em>
<em>y% x 100 = 40</em>
<em>y% = 40/100</em>
<em>y% = 2/5</em>
<em>y = 2/5 x 100</em>
y = 40%
d) ?% of 200 = 15
<em>Let ? be y.</em>
<em>Of means multiply so we will replace it with a multiplication sign.</em>
<em>y% x 200 = 15</em>
<em>y% = 15/200</em>
<em>y% = 3/40</em>
<em>y = 3/40 x 100</em>
y = 7.5 %
!!
Answer:
1
Step-by-step explanation:
Simplifying
3x + 2(4x + -4) = 3
Reorder the terms:
3x + 2(-4 + 4x) = 3
3x + (-4 * 2 + 4x * 2) = 3
3x + (-8 + 8x) = 3
Reorder the terms:
-8 + 3x + 8x = 3
Combine like terms: 3x + 8x = 11x
-8 + 11x = 3
Solving
-8 + 11x = 3
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '8' to each side of the equation.
-8 + 8 + 11x = 3 + 8
Combine like terms: -8 + 8 = 0
0 + 11x = 3 + 8
11x = 3 + 8
Combine like terms: 3 + 8 = 11
11x = 11
Divide each side by '11'.
x = 1
Simplifying
x = 1
X would be 90° ... every x is 90°
Answer: 8 pi
Step-by-step explanation: So we know that area of a circle is pi times r^2 so if we reverse that formula it would be square root of 16 pi which would be 4 pi and divide by pi so the radius is 4. And we know that the formula for circumference is 2 times pi times r, so 2 times 4 times pi is 8 pi. 8 pi is the cIrcumference! :)
Move all the terms involving the sine to one side, and all the numbers to the other:
