Answer:
8 students,
15 cans of juice and 11 packs of cheese cracker
Step-by-step explanation:
Mariam’s uncle donate 120 cans of juice and 90 - 2 = 88 packs of cheese cracker (eats two packs) for the school picnic.
Factor these numbers:
![120=2\cdot 60=2\cdot 2\cdot 30=2\cdot 2\cdot 2\cdot15=2\cdot 2\cdot 2\cdot 3\cdot 5\\ \\88=2\cdot 44=2\cdot 2\cdot 22=2\cdot 2\cdot 2\cdot 11](https://tex.z-dn.net/?f=120%3D2%5Ccdot%2060%3D2%5Ccdot%202%5Ccdot%2030%3D2%5Ccdot%202%5Ccdot%202%5Ccdot15%3D2%5Ccdot%202%5Ccdot%202%5Ccdot%203%5Ccdot%205%5C%5C%20%5C%5C88%3D2%5Ccdot%2044%3D2%5Ccdot%202%5Ccdot%2022%3D2%5Ccdot%202%5Ccdot%202%5Ccdot%2011)
The greatest common factor is
![2\cdot 2\cdot 2=8,](https://tex.z-dn.net/?f=2%5Ccdot%202%5Ccdot%202%3D8%2C)
so the greatest number of students who can share the food equally is 8 and each student will get
cans of juice and 11 packs of cheese cracker.
Answer:
Option C
The student's conclusion is correct because the solution to the system of equations
and
is ![(5,6)](https://tex.z-dn.net/?f=%285%2C6%29)
Step-by-step explanation:
Let
x------> the cost of each burger
y-----> the cost of each sandwich
we know that
-----> equation A
----> equation B
Solve the system of equations
Multiply the equation B by ![-2](https://tex.z-dn.net/?f=-2)
----->
------> equation C
Adds equation A and equation C
![3x+2y=27 \\-4x-2y=-32\\ ----------\\ 3x-4x=27-32\\ -x=-5\\x=5](https://tex.z-dn.net/?f=3x%2B2y%3D27%20%5C%5C-4x-2y%3D-32%5C%5C%20----------%5C%5C%203x-4x%3D27-32%5C%5C%20-x%3D-5%5C%5Cx%3D5)
Substitute the value of x in the equation B
![2(5)+y=16](https://tex.z-dn.net/?f=2%285%29%2By%3D16)
![10+y=16](https://tex.z-dn.net/?f=10%2By%3D16)
![y=6](https://tex.z-dn.net/?f=y%3D6)
The solution of the system of equations is the point ![(5,6)](https://tex.z-dn.net/?f=%285%2C6%29)
so
The price of each burger is ![\$5](https://tex.z-dn.net/?f=%5C%245)
The price of each sandwich is ![\$6](https://tex.z-dn.net/?f=%5C%246)
Answer:
x = 3
y = 8
Step-by-step explanation:
Since it gives you x, you need to plug in the number given for it into the equation:
y = 3x - 1
y = 3(3) - 1
y = 9 - 1
y = 8
So now you have, x = 3 and y = 8
60 miles an hour for 45 minutes = 45 miles
50 miles per hour for 30 minutes = 25 miles
Total =70 miles
Answer:
![- ab - 8a + 9](https://tex.z-dn.net/?f=-%20ab%20-%208a%20%2B%209)
Step-by-step explanation:
![(6ab - 8a + 8) - (7ab - 1) \\ 6ab - 8a + 8 - 7ab + 1 \\ - ab - 8a + 9](https://tex.z-dn.net/?f=%286ab%20-%208a%20%2B%208%29%20-%20%287ab%20-%201%29%20%5C%5C%206ab%20-%208a%20%2B%208%20-%207ab%20%2B%201%20%5C%5C%20%20-%20ab%20-%208a%20%2B%209)
hope this helps you.