Answer:
Expanded Notation Form:
300 + 70 + 2 + 0.3= 372.3
Expanded Factors Form:
3 x 100 + 7 x 10 + 2 x 1 + 3 x 0.1 = 372.3
Hope this helps!!
Answer:
4 and 6
Step-by-step explanation:
Exterior angle is the angle between any side of a shape, and a line extended from the next side.
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: 3400
Step-by-step explanation:
We have, 5% × x = 170
or,
5
100
× x = 170
Multiplying both sides by 100 and dividing both sides by 5,
we have x = 170 ×
100
5
x = 3400
If you are using a calculator, simply enter 170×100÷5, which will give you the answer.
Okay the answer is 30 because if you divide 180 by 6 then that would give you 30 pounds as his weight. :)
