Answer:
1. x = 8
2. x = 12
3. x = 11
4. x = 6
Step-by-step explanation:
1.
102 + 102 = 204
360 - 204 = 156
156 / 2 = 78
78 = 10x - 2
78 + 2 = 10x
80 = 10x
80 / 10 = x
x = 8
2.
81 = 7x - 3
81 + 3 = 7x
84 = 7x
84 / 7 = x
x = 12
3.
77 = 6x + 11
77 - 11 = 6x
66 = 6x
66 / 6 = x
x = 11
4.
115 + 115 = 230
360 - 230 = 130
130 / 2 = 65
65 = 8x + 17
65 - 17 = 8x
48 = 8x
48 / 8 = x
x = 6
Answer: 800pi inches
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Explanation:
The formula to find the circumference of a circle is
C = pi*d
where
C = distance around the circle (aka circumference)
pi = 3.14 approximately
d = diameter
We know that the diameter of the wheel is d = 8, so
C = pi*d
C = pi*8
C = 8pi
is the circumference of the wheel
One full rotation will have the wheel cover a distance of 8pi inches. Imagine that wet paint is on the outer surface of the wheel. If the wheel is rolled out in a straight line, then the wet paint would cover a linear distance of 8pi inches along the flat ground. This is one full rotation, so 100 rotations covers 100*8pi = 800pi inches
Note: if we use pi = 3.14 as the approximation, then the hamster ran approximately 800*pi = 800*3.14 = 2512 inches if the wheel could move
Answer:
3/8 & 4/8
Step-by-step explanation:
1/2 - 1/8 = 4/8 - 1/8 = 3/8
x - 1/8 = 3/8
x = 4/8
Answer:
D would be your answer
Step-by-step explanation:
Since 1/3 can't be turned into a decimal, change .5 into 1/2. In order to subtract, the fractions need a common denominator. The least common denominator is 6. So 1/3 turns into 2/6, and 1/2 turns into 3/6. Now you need to take 9 3/6 minus 6 2/6. The answer is 3 1/6 gallons of water.
