Answer:
14. 780
16. 274
hopes this helps have a great night
Step-by-step explanation:
Answer: x=-4, y=-7
Problem:
4x-6y = 26
5x-4y=8
You can use substitution or elimination to solve the problem. I’m going to use elimination.
Multiply by -2 => -8x+12y = -52
Multiply by 3 => 15x- 12y = 24
Add those equations together:
7x=-28
x=-4
Plug that into one of the original equations to get y.
4(-4)-6y=26
-16 - 6y=26
-6y=42
y=-7
Check for the other equation to see if this is true. Which in this case it is. So that’s your answer. x=-4, y=-7
<span>6 TO THE 3RD POWER+5(8 + ONE 5TH)
= 6^3 + 5(8 + 1/5)
= 216 + 40 + 1
= 257</span>
Let us assume the number of sandwiches made by Deli = x
Amount of roast beef required for making 1 sandwich = (1/4) pound
Total amount of beef that Marisa started with = 5 pounds
Amount of beef that was left = (3/4) pounds
Then
[(1/4) * x] + (3/4) = 5
(x/4) + (3/4) = 5
(x + 3)/4 = 5
x + 3 = 5 * 4
x + 3 = 20
x = 20 - 3
= 17
So we can see from the above deduction that 17 Deli sandwiches was made by Marisa. I hope the procedure is clear enough for you to understand.
Answer: The answer is 2,713 in³
The volume (V) of the prop is the sum of the volume of cone (V1) and half of the volume of the sphere (V2): V = V1 + 1/2 * V2
Volume of the cone is:
V1 = π r² h / 3
According to the image,
h = 14 in
r = 9 in
and
π = 3.14
V1 = 3.14 * 9² * 14 / 3 = 1,186.92 in³
The volume of the sphere is:
V2 = π r³ * 4/3
According to the image,
r = 9 in
and
π = 3.14
V2 = 3.14 * 9³ * 4/3 = 3,052.08 in³
The volume of the prop is:
V = V1 + 1/2 * V2
V = 1,186.92 in³ + 1/2 * 3,052.08 in³
V = 1,186.92 in³ + 1,526.04 in³
V = 2,712.96 in³ ≈ 2,713 in³
