Answer:
positive
Step-by-step explanation:
Let x = the width
then
2x = the length
:
The box dimensions: 2x by x by 4
Given the surface area:
2(2x*x) + 2(2x*4) + 2(x*4) = 220
:
4x^2 + 16x + 8x = 220
A quadratic equation:
4x^2 + 24x - 220 = 0
simplify, divide by 4
x^2 + 6x - 55 = 0
Factor
(x+11)(x-5) = 0
The positive solution is what we want here:
x = 5 ft is the width
then
2(5) = 10 ft is the length
:
Find the volume
10 * 5 * 4 = 200 cu/ft is the volume
Answer:
16/29
Step-by-step explanation:
P(A∪B) = P(A) + P(B) - P(A∩B)
P(basketball or baseball) = P(basketball) + P(baseball) - P(both)
= (13/29) + (7/29) - (4/29)
= 16/29
The probability that a randomly chosen student plays either sport is 16/29.
The distributive property "distributes" a number through all numbers/terms in a set of parentheses by multiplication.
EXAMPLES
Equivalent expressions are the first and last steps. The middle step just shows the work.
5(2 + 3x)= (5*2) + (5*3x)= 7 + 15x
4(2x + 4y)= (4*2x) + (4*4y)= 8x + 16y
10(4x + 5)= (10*4x) + (10*5)= 40x + 50
ANSWER:
Only one pair below is needed for your answer.
5(2 + 3x)= 7 + 15x
4(2x + 4y)= 8x + 16y
10(4x + 5)= 40x + 50
Hope this helps! :)
7+(10−4)2:4⋅231=7+62:4⋅81=7+36:4⋅81=7+9⋅81=7+89=7+181=881
