You can see that an odd number of steps is simply multiplying the number of steps by a number that moves up one each time. For instance, 1*1, 3*2, 5*3, etc. It's a bit harder with the even numbers. Their pattern is multiplying half the number of steps by 1.5, but the ones place value moves up a number each time, for example, 2*1.5, 4*2.5, 6*3.5. This means that 10 steps is 10 * 5.5, or 55 blocks and that 100 is 5,050 steps.
Answer:
GCF: 20
Step-by-step explanation:
The thing you want to do is factor both numbers down to their lowest primes.
40:2 * 2 * 2 * 5
60:2 * 2 * 5 * 3
Now underline what is in both sets of primes. I'll bold them. The number that is bolded comes from 2 * 2 * 5 which is 20
The highest common factor is 20
9514 1404 393
Answer:
x = 7
y = 5
Step-by-step explanation:
The applicable rule of exponents is ...
a^-b = 1/a^b
__
For a=-j and b=7,
(-j)^-7 = 1/(-j)^7 ⇒ x = 7
For a=k and b=-5,
k^-5 = 1/k^5 ⇒ y = 5
Answer:
X = 155
Step-by-step explanation:
You subtract 180 and 33 to get 147 and add 8 to that and you get 155 as your answer
We know that the volume of a cone is given by the following relation:
V = (pi * r^2 * h)/3
where r is radius and h is height of the cone
In our case, radius is diameter divide by 2:
V = (pi * (8/2)^2 * 10) / 3 = 167.55 cubic inches
So the container holds 167.55 cubic inches
