The answer is 1.4.3. thats the answer rounded
Answer:
24
Step-by-step explanation:
The question is saying, how many three digit numbers can be made from the digits 3, 4, 6, and 7 but there can't be two of the same digit in them. For example 346 fits the requirements, but 776 doesn't, because it has two 7s.
Okay, on to the problem:
We can do one digit at a time.
First digit:
There are 4 digits that we can choose from. (3, 4, 6, and 7)
Second digit:
No matter which digit we chose for the first digit, there is only going to be 3 of them left, because we already chose one, and you can't repeat that same digit. So there are 3 options.
Third digit:
Using the same logic, there are only 2 options left.
We have 4 choices for the first digit, 3 choices for the second, and 2 for the third.
Hence, this is 4 * 3 * 2 = 24 three-digit numbers that can be made.
Answer:
B
Step-by-step explanation:
A tesselation uses 1 shape to create an image by translating it or reflecting it. The shape is translated in this scenario so they are congruent from a translation (they are in the sam orientation unlike reflections)
Answer:
It costs $42.43
Step-by-step explanation:
Lets explain how to solve the problem
- The cost of
kilogram of candy is $7.5
- We need to find the cost of
kilogram
We can use the ratio to find the answer
======= Dollar : Kilogram
======= 7.5 : ![\frac{5}{6}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B6%7D)
======= c :
By using cross multiplication
∴ c ×
= 7.5 × ![4\frac{5}{7}](https://tex.z-dn.net/?f=4%5Cfrac%7B5%7D%7B7%7D)
∵
= ![\frac{4*7+5}{7}](https://tex.z-dn.net/?f=%5Cfrac%7B4%2A7%2B5%7D%7B7%7D)
∴
= ![\frac{33}{7}](https://tex.z-dn.net/?f=%5Cfrac%7B33%7D%7B7%7D)
∴ c ×
= 7.5 × ![\frac{33}{7}](https://tex.z-dn.net/?f=%5Cfrac%7B33%7D%7B7%7D)
∴ c ×
= ![\frac{495}{14}](https://tex.z-dn.net/?f=%5Cfrac%7B495%7D%7B14%7D)
Divide both sides by ![\frac{5}{6}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B6%7D)
∴ c =
÷ ![\frac{5}{6}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B6%7D)
Change the division sign to multiplication sign and reciprocal the
fraction after the division sign
∴ c =
×
∴ c =
= 42.43 dollars
∵ c represents the cost of
kg
∴ It costs $42.43
Answer:
The correct quotient is 3.
I think Derek has mistaken to divide
by
.
Step-by-step explanation:
We have to check the quotient of
.
Part A:
Now,
.
=
So, the correct quotient is 3.
Part B:
Derek says that the quotient is
.
So, I think Derek has mistaken to divide
by
. (Answer)