P-81
q-135
r-189
find out how many inches the rope is then divide by 15 total parts then multiply each ratio by that
Answer:
find y intercept: x= 0 => y = 12
y = -x + 12 (1)
y = x + 12 (2) is answer
Step-by-step explanation:
let us assume that the first company the cab flat rate is 5$ and the cap driver charges 2$ per mile .for the second company the cab flat rate is 3$ and the cab driver charges 3$ per mile.
a. the company charges per ride at least 5$ and an extra 2$ per mile
b.the equation we will choose is slope intercept since we know the
y-intercept which is the cab flat rate .
y=mx+b
where
m :is the slope
b:is the y-intercept
y:total amount
x. is the milage
total amount=2x+5.
c.the slope will be 2$ which is the change in amount per mile.the y-intercept will be the cab's flat rate.
So I think maybe the example for the first problem created some confusion, and you may want to have your child take another look.
If we numbered the top half 1 to 9 going from left to right, numbers 1, 2, 6, 7 and 8 are right. They worked because the top number (numerator) perfectly fit into the bottom number (denominator). This is not true for the rest.
The key is to find the largest number that you can think of that will go into BOTH the top and the bottom evenly.
So for number 3: 18/24; 18 does not fit evenly into 24. The highest number that will fit into both is 6, so you divide both top and bottom by 6 and your answer is 3/4.
Number 4: 45/54; the highest number that goes into both is 9, so you divide both top and bottom by 9 and your answer is 5/6.
Number 5: 55/66; the highest number that can go into both is 11, so the answer is 5/6.
Is this making sense?
The bottom, numbering 1 to 9 from left to right. The correct ones are 1, 6 and 9.
For 2: 14/41 is about 15/40. Both can be divided by 5, so the answer is 3/8.
For 3: 20/81 is about 20/80, and 2/8 is close, but can still be divided by 2, so the answer is 1/4.
For 4: 24/49 is closer to 25/50 than 20/50. 25/50 can be divided by 25, so the answer is 1/2.
For 5: it was all correct, but the answer can be further reduced from 2/8 to 1/4.
For 7: 23/72 is about 25/75, and 25 goes into both, so it reduces to 1/3.
For 8: 13/21 is about 15/20, and 5 goes into both, so the answer is 3/4.
As your child continues to learn this, remember that if he or she gets an answer like 2/6 or 6/12, they should ask themselves if they can further reduce the fractions- 2/6 reduces to 1/3, and 6/12reduces to 1/2. I know it's confusing, but they do get the hang of it with practice
Answer:y = y = (32 - 6x)/(7 - x)
Step-by-step explanation:
1. Distribute -> 7y - 56 + 24 = xy - 6x
2. Add Like Terms -> 7y - 32 = xy - 6x
3. Collect Like Terms -> 7y - xy = 32 - 6x
4. Factor Out the "y" -> y(7 - x) = 32 - 6x
5. Divide Out the Left "x" -> y = (32 - 6x)/(7 - x)
