Answer:
47.14 in³
Step-by-step explanation:
Here is the complete question
Jenny used plastic cone shaped cups to serve punch. The cups were 6 inches in diameter and 5 inches tall. What was the volume of each cup?
Volume of a cone =
πr²h
π = 22/7
Radius = diameter / 2 = 6 /2 = 3 inches
(1/3) x (3^2) x (22/7) x 5 = 47.14 in³
[Given]
{ x + y = 6
{ x = y + 4
[Plug-in our x value & solve]
[Given] x + y = 6
[ Plug-in] (y + 4) + y = 6
[Distribute] y + 4 + y = 6
[Combine like terms] 2y + 4 = 6
[Subtract 4 from both sides] 2y = 2
[Divide both sides by 2] y = 1
[Answer]
Third option - (5, 1)
-> You do not need to solve for x since this is the only option that has y = 1, but to solve for x we would do y + 4 = 1 + 4 = 5, so this answer fully checks correctly
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
★ Also please leave the rating you think I deserve (It helps other users as well as myself)
- Heather
Answer:
I have attached a picture of me solving the equation.
Now you must be wondering how I got the answer, well first simplify the expression in y = mx + b. Then graph it on demos. Do the same thing for the other expression. Pick any point that lies on the line. That is your solution to the equation.
The green line is the expression of 3x - 4y = 11. I simplify the equation in y = mx + b giving me y = 3/4x - 11/4.
The orange line is the expression of 3x + 2y = 2. I simplify the equation in y = mx + b giving me y = -3/2x + 1.
Hope this helps, thank you !!
Answer:
D
Step-by-step explanation:
Remember how absolute values turn everything inside of it into a positive number? Like |-4|=4 and |4|=4 as well.
Well, it works the same for equations.
When you have an absolute value equation like this, you have to split it into two parts.
The positive version
| d-3.5 | ≤ 1.5
and the negative version
|-(d-3.5)| ≤ 1.5
solve for the value of d in both equation.
<em>Remember that you have to flip the inequality sign when dividing or multiplying by a negative number</em>
I assume you know how to graph the inequality once you get the value for d.
d≤5 and d≥2
so
2 ≤ d ≤ 5
meaning d is between 2 and 5.
Answer:
Rational
Step-by-step explanation:
A rational number is a number expressed as a fraction. So the number could be a mixed fraction, improper fraction, decimal, or percentage.
Hope This Helps :)