Answer:
The expression 7x represents the height of the container.
Step-by-step explanation:
From the question:
We are being informed that; if the length of the container is half of a foot longer than its width.
Let the width be x;
Then the length of the container can now be ; x+1/2
We all known that the volume of a rectangular prism is : V= l×w×h
here;
l = length
w = width
h = height
If we rewrite the given expression :
;
Then we factor we make a similar coefficient of the above equation, the remaining entities left in the parenthesis should be a linear term with a leading coefficient of 1 to match the expression for the length of the container.
i.e

Hence, if the length of the container is half a foot longer than its width, x, then the expression 7x represents the height of the container.
Answer:
6*4+8=32
Step-by-step explanation:
32-8=24
24/6=4
so 6*4=24
24+8=32
Answer:
They create supplementary angle pairs.
Step-by-step explanation:
Supplementary angles add up to 180°.
Answer: 0.038
Step-by-step explanation:
Given: Total games : n= 375
Number of games won by the team that was winning the game at the end of the third quarter. = 300
The proportion (p) of the team that was winning the game at the end of the third quarter: 
Critical z-value for 90% confidence: z* = 1.645
Margin of error =
The margin of error in a 90% confidence interval estimate of p 
Hence, the required margin of error = 0.038
Answer:
- 3a³ + 5a² - 3a + 7
Step-by-step explanation:
Given
(a³ - 2a + 5) - (4a³ - 5a² + a - 2)
Distribute both parenthesis noting the second is distributed by - 1
= a³ - 2a + 5 - 4a³ + 5a² - a + 2 ← collect like terms
= (a³ - 4a³ ) + 5a² + (- 2a - a) + (5 + 2)
= - 3a³ + 5a² - 3a + 7