Suppose the length of the card board was x cm by x cm
After squares of 4cm was cut from the corner, the dimension for the box will be:
length=(x-8) cm
width=(x-8) cm
height=4 cm
thus the volume will be:
V=length*width*height
V=4×(x-8)×(x-8)=144
x²-16x+64=36
this can be simplified to form a quadratic equation given by:
x²-16x+28=0
solving the quadratic equation we get:
x=2 or x=14
Thus we conclude that the original dimensions was:
length=14 cm ; width=14 cm
<h3>
Answer: B. (5,3)</h3>
How to get this answer:
x+y = 8 solves to y = -x+8 after isolating y. You subtract x from both sides.
Plug this into the second equation and solve for x
3x + 2y = 21
3x + 2( y ) = 21
3x + 2( -x+8 ) = 21 ... replace y with -x+8
3x - 2x + 16 = 21
x + 16 = 21
x = 21-16
x = 5
Use this to find y
y = -x+8
y = -5+8
y = 3
We have x = 5 and y = 3 pair up to get the ordered pair solution (5,3)
10 * 10= 100
7*7=49
the ratio is 100:49
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Answer:
Step 2
18 over 8 to a decimal is 2.25
Step-by-step explanation:
Step 1, 20, subtract 16 labeled as
Step 2, 40 labeled as
Step 3, subtract 40, and 0 labeled as Step 4.
Divisor = 8
Divided = 18
Quotient = 2.25
2.25
8 √18
- 16
2 0
- 16
4 0
- 40
0
The first error is at step 2
18 over 8 to a decimal is 2.25
See the attached image for better understanding
