32 students choose a favorite topping for their slices.
Let x be the total number of students.
1/2 of the total students, or 1/2x, choose pepperoni.
1/4 of the total students, or 1/4x, choose extra cheese.
1/8 of the total students, or 1/8x, choose sausage.
4 students choose mushrooms.
We know that together, these equal the total number of students, x:
1/2x+1/4x+1/8x+4=x
We will use 8 as the common denominator:
4/8x+2/8x+1/8x+4=x
Combining like terms:
7/8x+4=x
Subtract 7/8x from both sides:
7/8x+4-7/8x=x-7/8x
4=1x-7/8x
4=1/8x
Divide both sides by 1/8:
4÷(1/8) = 1/8x÷(1/8)
4/1÷(1/8) = x
4/1×8/1 = x
32/1 = x
32 = x
26+32=58
6*10=60
6 vans are needed.
10 students will be in the each of the five vans. 8 students will be in the other van.
Answer:
- Length of rectangle is 31 yards and Width is 24 yards.
Given:
- The length of a rectangle is 7 more than the width.
- The area is 744 sqaure yards
Solution:
Let's assume Width of rectangle be x and Length of rectangle be x + 7 respectively.
Using formula
On Substituting the required values, we get;
As we know that width of the rectangle can't be negative. So x = 24
<u>Hence</u>,
- Width of rectangle = x = 24 yards
- Length of the rectangle = x + 7 = 31 yards
Length of rectangle is 31 yards<u> </u>and Width is 24 yards.
Answer:
Step-by-step explanation:
3a²*2a³ = (2*3)(a² *a³)= 
Answer:
1.75
c
+
2.25
a
=
1083.00
now we still know, that
a
=
508
−
c
so we can substitute it into the second formula
1.75
c
+
2.25
(
508
−
c
)
=
1083
now its just simple algebra
1.75
c
+
1143
−
2.25
c
=
1083
60
=
0.5
c
so:
c
=
120
Step-by-step explanation:
