Answer:
x =7
Step-by-step explanation:
Remark
- A geometric sequence always has terms that are separated by a common ratio. For example 3 9 27 81 243 ....
- Each term is multiplied by a common number and the term before it. In this case the common term is 3.
- To get the next term after 9, you multiply 9 by 3.
- To get the common ratio divide the second term by the first and then the third term by the second
Equation
(x + 2)/(x - 4) = (3x + 6)/ (x + 2)
Solution
I would begin this problem by taking out the common factor on the top right term. You'll see why in a second.
(x + 2)/(x - 4) = 3(x + 2)/ (x + 2) Notice the two binomials on the right cancel.
- (x + 2)/(x - 4) = 3/1 Cross multiply
- (x + 2)*1 = 3*(x - 4) Remove the brackets on the right.
- x + 2 = 3x - 12 Add 12 on both sides.
- x + 2 + 12 = 3x - 12 + 12 Simplify
- x + 14 = 3x Subtract x from both sides
- 14 = 3x - x
- 2x = 14 Divide by 2
- x = 14/2
- x = 7
Answer:
d. 1.5%
Step-by-step explanation:
Given - The track and field coach records Ian's 400-meter race times during three practices.
Practice 1 2 3
Time (s) 63 60 58
To find - How much greater was the percent of change from Practice 1 to Practice 2 than from Practice 2 to Practice 3? Round to the nearest tenth.
a.
7.9%
b. 4.8%
c. 3.3%
d. 1.5%
Proof -
% change from Practice 1 to Practice 2 change =
%
=
% = - 4.761904762 %
⇒% change from Practice 1 to Practice 2 change = - 4.762 %
Now,
% change from Practice 2 to Practice 3 change =
%
=
% = - 3.334 %
⇒% change from Practice 2 to Practice 3 change = - 3.3334 %
So,
- 4.461904762% - (- 3.3334%) = -4.461904762 + 3.3334 % = -1.4285 % ≈ 1.5%
∴ we get
Value = 1.5%
The correct option is - d. 1.5%
4 cups of surgar / 2 cups of butter
Answer:
Two angles are supplementary if the sum of their measures is 180 . ... You can write "the measure of angle 1" as m∠1. ... Find m∠2, m∠3, and m∠4.
Step-by-step explanation: