11: 6(3x+4y)
13a: 5x(3-4y)
13b: they but “x” next to 4 when the expression didn’t have the “x^2” anywhere
14a: find the common factors of each number
Answer:
106
Step-by-step explanation:
the angles must make a total of 540°
if you add up all angles it will be 434°
subtract it from the total(540 - 434) and you will find the value of X
Answer:
The indifference point is 8 weeks.
Step-by-step explanation:
<u>First, we establish the total cost formula for each:</u>
x= number of weeks
Club:
Total cost= 20 + 15*x
Retail:
Total cost= 17.5*x
<u>Now, we equal both formulas and isolate x:</u>
20 + 15x = 17.5x
20 = 2.5x
8=x
The indifference point is 8 weeks.
<u>Prove:</u>
Total cost= 20 + 15*8= $140
Total cost= 17.5*8= $140
Using a system of equations, it is found that she has 9 picture books.
<h3>What is a system of equations?</h3>
A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the variables are:
- Variable x: Number of picture books.
- Variable y: Number of encyclopedias.
- Variable z: Number of fairy tale books.
The ratio of the number of picture books encyclopedias, and fairy tale books Annette had is 3:4:5, hence:

She gave half of her encyclopedias to her brother and he gave her 5 books of fairytales. Now she has 14 more books of fairy tales than encyclopedias, hence:
z + 5 - 0.5y = 14.
z - 0.5y = 9
From the ratios, we have that:

Hence we solve for x to find the number of picture books:


x = 9.
More can be learned about a system of equations at brainly.com/question/24342899
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Estimate
3,794,100
= 4<span>,000,000
= 4 x 10^6
answer is </span><span>C) 4 x 10^6 </span>