He can individually store all 38, or he can put 3 boxes of ten with 8 individuals, or he can 3 boxes of ten and one box that only contains eight.
Answer:
(11, 13)
Step-by-step explanation:
Carolyn's work is incorrect. Below is the correct solution:
Given:
----› Equation 1
-----› Equation 2
Substitute y = (x + 2) in equation 1
----› Equation 1
(substitution)
(distributive property)
[Note: this is where Carolyn made a mistake]

Collect like terms

(addition property of equality).

Substitute x = 11 in equation 2
-----› Equation 2
(substitution)
✅The solution to the system of equations would be:
(11, 13)
Answer:
x = 8
Step-by-step explanation:
By first drawing a photo, pasted below, you can plot your points. Then use the formula:
a/c = b/d to plan out your equation
3x - 8/x = 16/x
Cross multiply so you then have:
16x = 3x^2 - 8x
24x = 3x^2
8 = x
To check:
3(8) - 8 = 16
24 - 8 = 16
16 = 16
Answer:
Answer choice B
Step-by-step explanation:
When you factor the equation, 12 only has 6x2 to equal the -12x. This means that you'll factor it into (3x-6)(x-2). When you set either of these equal to 0, the x value is 2.
Answer:
$18
Step-by-step explanation:
Given:
6.4x - 2.1x = 77.4
Where,
x = cost of sheet metal per square foot
How much does sheet metal cost per square foot?
6.4x - 2.1x = 77.4
4.3x = 77.4
Divide both sides by 4.3
x = 77.4 / 4.3
= 18
x = $18
Sheet metal per square foot cost $18