Answer:60 is the common denominator
Step-by-step explanation:
Answer:
1/6 gallon of water
Step-by-step explanation:
Number of hikers = 3
Quantity of water shared = 1/2 gallon of water
If the water was shared equally among the hikers, then,
Amount of water each hiker drank = Quantity of water shared ÷ Number of hikers
= 1/2 ÷ 3
Multiply 1/6 by the reciprocal of 3
The reciprocal of 3 = 1/3
1/2 ÷ 3
= 1/2 × 1/3
= (1 * 1) / (2 * 3)
= 1/6
Amount of water each hiker drank = 1/6 gallon of water
Answer:
15 15 goes into 45 5 times and 60 5 times. highest number that goes into both numbers evenly
Answer:
The length of PQ is <u>18</u> feet.
The length of PR is <u>18</u> feet.
The length of QR is <u>24</u> feet.
Step-by-step explanation:
A way to set an equation up for this problem is:

where x is the three lengths of the isosceles triangle, but the base QR is 4/3 the length of the other two congruent sides, length PQ and PR. The 60 represents the total length of the perimeter.
Then, solve for x from the equation, and you’ll get x=18. But your not done yet. Since the variable x in the equation stands for the sides of the isosceles triangle, so plug 18 into the equation and it should look like this:

Don’t solve the whole equation, just solve the
part of the equation, which is equal to 24. So the final equation is this:

Conclusion: 24 is the length of QR, and 18 is the length of PQ and PR. And they all equal 60, which is the perimeter. This is very true because the length of PQ and PR are the same (length 18), since it’s an isosceles triangle, and the length of QR is 4/3 the length of PQ and PR (4/3 of 18= 24).
Sorry for the long explanation.
But hope this helps and answers your question :)
Vertical shift is -2. Horizontal shift is 1. Check the box that says reflect over x-axis. Horizontal shrink should be 4. Then to check if it looks right go to Desmos.com and in the graphing calculator put in y=-4(x-1)^2-2 and see if it looks like the one you did in your work