Answer:
Step-by-step explanation:
In this case we will use the formula V= length × width × height
so, V= 2 1/4 × 1 × 1 1/4
=2 1/4 × 1 1/4
= 9/4 × 5/4
= 45/16
=2 13/16 cubic feet is the full capacity of the rectangular prism
then get the volume of the cube so, we will use the formula V= side times side times side
so, V= 1/4 times 1/4 times 1/4
V= 1/8 times 1/4
V= 1/32 cubic is the volume of the cube
then we will divide the full capacity of the rectangular prism to the volume of the cube
so, 2 13/16 divided by 1/32
so, 2 13/16 times 32/1
so, 45/16 times 32/1
=1,440/16
=90 small cubes can be packed in a rectangular prism in Part A
so, in Part B
V= 2 1/4 × 1 × 1 1/4
=2 1/4 × 1 1/4
= 9/4 × 5/4
= 45/16
=2 13/16 cubic feet is the volume of the rectangular prism
Answer:
(i+3)(i+10)
i=-3 and i=-10
Step-by-step explanation:
11.3x = 86.3 - 7.2
11.3x = 79.1
79.1/11.3 = x
x = 7
{a+c=529
{1.75c+2.25a=1118.75
{9a+9c=4761
-
{7c+9a=4475
2c=286
c=143
a=529-143=386
There are 143 children and 386 adults used the public swimming pool.
Answer:
Burger meal costs $8 and hot dog meal costs $6.
Step-by-step explanation:
To find the price per meal, write a system of equations.
Let b = cost of a burger meal and d = cost of a hot dog meal.
Write the equation 3b + 4d = 48 for the Woodsons.
Write the equation 6b + 2d = 60 for the Barkers.
Use elimination to solve the system. Begin by making the coefficients of one variable the same in both equations by multiplying 3b + 4d = 48 by 2.
2(3b + 4d = 48) ----> 6b + 8d = 96
Stack the equations and subtract.
6b + 8d = 96
- 6b + 2d = 60
------------------------
6d = 36
d = 6
Substitute d = 6 into one equation to solve for b.
3b + 4(6) = 48
3b + 24 = 48
3b = 24
b = 8