Hi there! To solve this, all we have to do is multiply each side by 2.2 to cancel out the variable and to find the value for it. 5.8 * 2.2 is 12.76. 12.76/2.2 is 5.8. x = 12.76. The answer is D.
Answer:
10x² - 12
Step-by-step explanation:
4x² - 7 + 6x² - 5 (combine like terms)
10x² - 12
Answer: 14.38%
Step-by-step explanation:
Worth of stock in Company A = $5990
Percent decrease = 20%
New worth = $5990 - (20% × $5990)
= $5990 - (0.2 × $5990)
= $5990 - $1198
= $4972
Worth of stock in Company B = $2450
Percent decrease = 8%
New worth = $2450 - (8% × $2450)
= $2450 - (0.08 × $2450)
= $2450 - $196
= $2254
Previous total worth = $5990 + $2450
= $8440
Total worth = $4972 + $2254
= $7226
The total percentage decrease in the investor's stock account will be:
= [($8440 - $7226) / $8440] × 100
=( $1214 / $8440) × 100
= 0.1438 × 100
= 14.38%
Using the Fundamental Counting Theorem, it is found that there are 90 ways to choose the three side dishes.
<h3>What is the Fundamental Counting Theorem?</h3>
It is a theorem that states that if there are n things, each with 
ways to be done, each thing independent of the other, the number of ways they can be done is:
In this problem:
- For the vegetable, there are 5 options, hence
.
- For the starch, there are 3 options, hence
.
- The remaining dish is free, which means that there are 5 + 3 - 2 = 6 options, hence
.
Then:
N = 5 x 3 x 6 = 90.
There are 90 ways to choose the three side dishes.
More can be learned about the Fundamental Counting Theorem at brainly.com/question/24314866
