Answer:
y
=
15.96871942
…
,
−
15.96871942
…
Step-by-step explanation:
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:

The greatest common factor is

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:
hat: $12
t-shirt: $8
Step-by-step explanation:
Let the price of 1 hat = h.
Let the price of 1 t-shirt = t.
Julie: h + 2t = 28
Raj: 2h + t = 32
We have a system of 2 equations in 2 variables.
h + 2t = 28
2h + t = 32
Let's use the substitution method to solve the system of equations.
Solve the first equation for h.
h = 28 - 2t
Substitute 28 - 2t for h in the second equation.
2(28 - 2t) + t = 32
56 - 4t + t = 32
56 - 3t = 32
-3t = -24
t = 8
h = 28 - 2t
h = 28 - 2(6)
h = 12
Answer:
hat: $12
t-shirt: $8
Answer:
310339.1 in^3
Step-by-step explanation:
Volume=4/3*pi*r^3
Volume=4/3*pi*42^3
Volume=4/3*pi*74088
Volume=98784*pi
Volume=310339.0887
So the volume is about 310339.1 in^3
Answer:
105 km
Step-by-step explanation:
Written as a proportion, the ratio of km to cm will be the same for both distances:
(x km)/(17.5 cm) = (15 km)/(2.5 cm)
x km = (15 km)(17.5/2.5) = 105 km
105 actual kilometers are represented by 17.5 cm on the map.