The formula of a volume of a cuboid:

l - length
w - width
h - height
We have:
l = (x + 4) cm
w = (x + 1) cm
h = 3 cm
Substitute:
<em>use distributive property</em>


<em>combine like terms</em>

No Alana's mom cannot be 3 times her age because 8 multiplied by 3 equals 24, Alana's mom would have to be 4 times her age. (8 multiplied by 4 equals 32)
So,
We see in Statement 3 that WY = WY. This seems obvious, but it ensures that quantities don't change their values. We call this property of something being equal to itself, the "reflexive property."
The correct answer is the third option.
Answer:
see explanation
Step-by-step explanation:
Given the 2 equations
x + 2y = 10 → (1)
2y² - 7y + x = 0 → (2)
Rearrange (1) expressing x in terms of y by subtracting 2y from both sides
x = 10 - 2y → (3)
Substitute x = 10 - 2y into (2)
2y² - 7y + 10 - 2y = 0
2y² - 9y + 10 = 0 ← in standard form
(y - 2)(2y - 5) = 0 ← in factored form
Equate each factor to zero and solve for y
y - 2 = 0 ⇒ y = 2
2y - 5 = 0 ⇒ 2y = 5 ⇒ y = 
Substitute these values into (3) for corresponding values of x
y = 2 → x = 10 - 4 = 6 ⇒ (6, 2 ) → B
y =
→ x = 10 - 5 = 5 ⇒ (5,
) → A
Answer:
(0, 5) and (5,0) are two possibilities.
Step-by-step explanation:
There is an infinite number of ordered pairs that satisfy your inequality.
To help you pick some ordered pairs, you could plot the inequality (see the graph below).
Any point within the shaded area is a solution.
Pick an ordered pair, insert it into the equation, and check if the inequality is true.
Here are two examples.
<em>For (5, 0</em>):
0 – 3×5 < 10
0 - 15 < 10
-15 < 10 True
<em>For (0, 5)</em>:
5 – 3×0 < 10
5 – 0 < 10
5 < 10 <em>True
</em>
The ordered pairs (0, 5) and (5,0) are part of the solution set of the equation y – 3x < 10.