Answer:
19
Step-by-step explanation:
1. r(-3) is just plugging in -3 into the r(x) function where ever we see x.
1a. r(-3)=-2(-3)^2+1=-17
2. We are left with q(-17).
2a. We plug -17 into where we x in q(x).
3. q(-17)=-(-17)+2=19
9 bottles will be filled to the top you’re welcome.
Using the proportions given in the table, it is found that the percentage of the Northlake residents surveyed that want a new dog park is:
B. About 58%.
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount, and the measures are related using a rule of three. Multiplying a proportion by 100%, a percentage is found.
Looking at the table, 25% are Northlake residents(which is 43% of the surveyed) who want a new dog park, hence the percentage is given by:
p = 25/43 x 100% = 58%.
Hence option B is correct.
More can be learned about proportions at brainly.com/question/24372153
#SPJ1
YOu have to set a proportion or do this easy method...
5/32= <span>0.15625
the you multiply </span><span>0.15625 by 800 because that is what you want to find out of...
that means the answer is 125
125 ride their bike to school...
hope that helps and you give good feedback
</span>
C) (0.85 + x/100)(250+145) does not give the correct answer.
Explanation
A) works; adding the two costs together is 250+145=395. We multiply this by 0.85 because 100%-15%=85%=0.85. We also have x% tax, which is represented by x/100, added to 100% of the value, or 1.00. Altogether this gives us
395(0.85)(1+x/100) = 395(0.85 + (0.85x/100)) = 395(0.85) + 395(0.85x/100)
= 395(0.85) + 395(0.0085x)
B) works; we have 250+145 for the original price; we have 85% = 0.85 of the value; we also have 100% + x%, which is (100+x)/100.
C) does not work; (0.85+x/100)(395) does not take into consideration that you are finding the tax after taking the 85%. This will simplify out to
0.85*395 + (x/100)(395) = 335.75 + 395x/100 = 335.75 + 3.95x, which is too much.
D) works; simplifying the expression from A, we have 395(0.85) + 395(0.0085x) = 335.75 + 3.3575x.
