Answer:
a)
Step-by-step explanation:
She forgot to multiply 14 with -13
Pretend the cost of the hotel is called "x" and the amusement park is "y"
make the equations.
450=3x+2y and 700=5x+3y
since you're solving for amusement park, you basically just solve for y
multiply the first equation by 5 and the second equation by 3.
2250=15x+10y and 2100=15x+9y
these are a system of equations so subtract one from the other to cancel the x values away.
150=y so the answer is that a day trip to the amusement park costs $150
Answer:
x=16
Step-by-step explanation:
Hope this helps
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
The surface area formula for any sphere is 4(pi)(radius)^2
The radius is half of the diameter.
18.6 / 2 = 9.3
So, plug into the formula and solve.
4(3.14)(9.3)^2 = 1086.3 mm^2