Answer:
576 Units
Step-by-step explanation:
The way your teacher wants you to do it:
1. We know that multiplying a length by four gives us the perimeter of a square.
1a. Thus, we multiply the given length by four. 4(10x+4)=40x+16
1b. We know the perimeter is 96. So: 40x+16=96
2. Solving for x, we get x=2
3. Plugging our solved x into the given length (10x+4), we see that the length of a side of the square is 10*2+4=24.
4. We know that the area of a square can be found by squaring the side of a square.
4a. 24*24=576.
5. The area is 576 units.
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Easier Solution:
1. We know that the perimeter is length*4.
2. We set L to length.
2a. 4L=96
2b. L=24
3. We know that the length square is area.
4. 24*24=576.
Answer:
y < 10 or (10, -∞)
Step-by-step explanation:
7y + 1 > 8y - 9
Simply get the y's on the right by subtracting 7y from both sides:
1 > y - 9
then adding 9 to both sides:
y < 10
or in interval notation:
(10, -∞)
Answer:
175,760, 000 plates
Step-by-step explanation:
There are 3 spots where there are 26 choices each
(=26^3)
and 4 spots where there are 10 choices each (the digits 0 through 9, =10^4). This gives:
26^3 x 10^4 = 175,760,000 plates
Hope this helps!
Answer:
40 grams
Step-by-step explanation:
y * 25% + x * 10% = 120 * 15%
x = 120 - y
(120-y) * 10% = x * 10%
y * 25% + (120 - y ) * 10% = 120 * 15%
0.25y + 12 - 0.1y = 18
0.15y = 6
y = 6 / 0.15
y = 40
