1) a. 15% decrease
2) a. $79.20
3) b. 14.3% increase
4) a. $4.68
#1 explanation:
1435 - 1220 = 215
215/1435 = 0.1498
0.1498 x 100 = 14.98 = 15%
#2 explanation:
220 x 0.6 = 132
220-132=88
88 x 0.1 = 8.8
88-8.8 = 79.2 $
#3 explanation:
32-28=4
4/28=0.1428
0.1428 x 100 = 14.28 = 14.3%
#4 explanation:
275 x 0.15 = 41.25
275-41.25 = 233.75
233.75 x 0.02 = 4.675 = 4.68 $
X=1/2 I’m mostly guessing but for math just use the app called photo math it’s helps with math equations but not math written problems
Answer: In mathematics, a function is any expression that produces exactly one answer for any given number that you give it. The input is the number you feed into the expression, and the output is what you get after the look-up work or calculations are finished.
Step-by-step explanation:
1. The first equation gives you an equivalent for y. Use that in the second equation.
.. 4x + (x+5) = 20
.. 5x + 5 = 20 . . . . collect terms
.. 5x = 15 . . . . . . . . subtract 5
.. x = 3 . . . . . . . . . . divide by 5
The first equation tells you how to find y.
.. y = x + 5
.. y = 3 + 5 = 8
The solution is (x, y) = (3, 8).
2. Add 2x to the first equation to get an expression for y.
.. y = 3 + 2x
Use this in the second equation.
.. 6x - 3(3 +2x) = 21
.. 6x - 9 - 6x = 21 . . . eliminate parentheses
.. -9 = 21 . . . . . . . . . . false. There is no solution to this set of equations.
3. Subtract 2y from the first equation to get an expression for x.
.. x = -1 - 2y
Use this in the second equation.
.. 4(-1 -2y) -4y = 20 . . . . . substitute for x
.. -4 -8y -4y = 20 . . . . . . . eliminate parentheses
.. -12y = 24 . . . . . . . . . . . . collect terms, add 4
.. y = -2 . . . . . . . . . . . . . . .divide by -12
.. x = -1 -2*(-2) . . . . . . . . . use the equation for x to find x
.. x = 3
The solution is (x, y) = (3, -2).
Word Problem
a) Let f and n represent the total dollar cost of membership in the "fee" and "no-fee" gyms. Let m represent the number of months of membership.
.. f = 150 + 35m . . . . $150 plus $35 for each month
.. n = 60m . . . . . . . . . $60 each month
b) The costs will be the same when f = n.
.. f = n
.. 150 +35m = 60m
.. 150 = 25m . . . . . . . . . subtract 35m
.. 6 = m . . . . . . . . . . . . . divide by 25
The cost of membership will be the same after 6 months.
The cost will be $60*6 = $150 +$35*6 = $360.
c) If Cathy cancels in 5 months, the no-fee gym will cost less.
.. n = 60*5 = 300
.. f = 150 +35*5 = 325
Answer:
Positive Correlation
Step-by-step explanation:
We have to find a relation between the number of pets owned by a family and the cost of their vet bills.
Correlation:
- Correlation is a technique that help us to find or define a relationship between two variables.
- It is a measure of linear relationship between two quantities.
- A positive correlation means that an increase in one quantity leads to an increase in another quantity
- A negative correlation means with increase in one quantity the other quantity decreases.
Now, as the number of pets will increase the vets bills will increase. Thus, with increase in one quantity the other also increase. Thus, there is a positive correlation between the two variables that are the number of pets owned by a family and the cost of their vet bills.
