Q1. The answers are (–1, 8), (0, 7), (3, 18)
<span>–3x + y ≥ 7
</span>Let's go through all choices:
<span>(–2, –3)
</span>(-3) * (-2) + (-3) ≥ 7
6 - 3 ≥ 7
3 ≥ 7 INCORRECT
(–1, 8)
(-3) * (-1) + 8 ≥ 7
3 + 8 ≥ 7
11 ≥ 7 CORRECT
(0, 7)
(-3) * 0 + 7 ≥ 7
0 + 7 ≥ 7
7 ≥ 7 CORRECT
(1, 9)
(-3) * 1 + 9 ≥ 7
-3 + 9 ≥ 7
6 ≥ 7 INCORRECT
(3, 18)
(-3) * 3 + 18 ≥ 7
-9 + 18 ≥ 7
9 ≥ 7 CORRECT
Q2. The answers are:
5x + 12y ≤ 80
x ≥ 4
<span>y ≥ 0
</span>
<span>x - small boxes
</span><span>y - large boxes
</span>He has x small boxes that weigh 5 lb each and y large boxes that weigh 12 lb each <span>on a shelf that holds up to 80 lb:
5x + 12y </span>≤ 80
Jude needs at least 4 small boxes on the shelf: x ≥ 4
Let's check if y can be 0:
5x + 12y ≤ 80
5x + 12 * 0 ≤ 80
5x + 0 ≤ 80
5x ≤ 80
x ≤ 80 / 5
x ≤ 16
x ≥ 4 can include x ≤ 16
So, y can be 0: y ≥ 0
Answer:
To the first question the answer would be > because you can change -3/4 to -9/12. Since these are negative numbers -5 is greater than -9.
The answer the second one would be B because I change all the fractions to decimals and 6/11 equals 0.54545454 and goes on and on So it was the greatest number (in decimal form). Also negaitve numbers are the least. :) Hope this helps
Step-by-step explanation:
They answer is they ate 6 kilos! of the 8 kilos because you have to reduce 6/8 to 3/4 and 3/4 of 8 is 6.
Answer:
Your Answer would 1/6
Step-by-step explanation:
I hope This Helps :)
Answer:
Order from the greatest yield to the least as follows
1. Situation B=$2,119.8949
2. Situation A=$2,095.3078
3. Situation C=$2,022.7789
Step-by-step explanation:
Situation A
A=P(1+r/n)^nt
=500(1+0.12/12)^12*12
=500(1+0.01)^144
=500(1.01)^144
=500(4.1906155936008)
=$2,095.3078
Situation B
A=P(1+r/n)^nt
=500(1+0.1/4)^4*15
=500(1+0.025)^60
=500(1.025)^60
=500(4.3997897488150)
=$2119.8949
Situation C
A=P(1+r)^t
=500(1+0.15)^10
=500(1.15)^10
=500(4.0455577357079)
=$2022.7789
Order from the greatest yield to the least as follows
1. Situation B=$2,119.8949
2. Situation A=$2,095.3078
3. Situation C=$2,022.7789
