Answer:
To solve the system of equations by substitution:
<u>2x+y=-2</u>
<u>3x-y=7</u>
first solve for y:
2x+y=-2
y=-2x-2
Then plug ^^ equation for y in the other equation
3x-(-2x-2)=7
5x+2=7
5x=5
x=1
Then solve for y:
2(1)+y=-2
y=-4
Final answer is x = 1 and y = -4
Hope it helps!
<h2>
<u>Answer:</u></h2>
⟶ 2³ × 3² is the prime factorization for which one of these choices?
Let's check,
1) 6 = 3 × 2 [So, obviously not this choice]
2) 25 = 5 × 5 = 5² [Not this either]
3) 36 = 3 × 2 × 2 × 3 = 3² × 2² [Doesn't match with 2³ × 3²]
4) 72 = 2 × 2 × 2 × 3 × 3 = <u>2</u><u>³</u><u> </u><u>×</u><u> </u><u>3</u><u>²</u><u> </u>[Matches]
⟶ The answer is, choice <u>7</u><u>2</u><u>.</u>
Answer: 376.98192 mL
Step-by-step explanation:
We are going to use this equation.
V = π * r² * h
according to the question we have the value for r and h, if you replace the values into the equation we will get following product:
note: also keep in mind that value of π is 3.141516
V = π * r² * h
V = π * (4in)² * (10in)
V = 502.64256 in³
after we can divide this value in 4 equals parts
then we get the following equation:
502.64256 in³ / 4 = 125.66064 in³
after that that you can multiply this value by 3 to get the 3 parts of the cylinder vase for example:
125.66064 in³ * 3 = 376.98192 in³
and this result is the volume of water that we have to pour into the vase
Answer:D
Step-by-step explanation:
Answer:
Second box for Justifications: Subtraction Property of equality
Third box for steps: 
Fourth box for steps: 
Fourth box for Justifications: Multiplication Property of equality
Fifth box for steps: 
