Answer:
27,600
Step-by-step explanation:
We use the following formula:-
Number of permutations of r from n
= nPr
= n! / (n-r)!
I am assuming you don't allow repeated letters in the 4 letter codes.
Take S as the first letter. Then we have 3 letters extra out of 25 letters.
Using the above formula the possible ways of doing this is
25! / (25 - 3)!
25! / 22!
= 25*24*23
= 13800.
The same number is obtained if the first letter is a T.
So the answer is 2*13800
= 27,600
1 -
3 cups left.
2-
David biked a total of 158 miles (option C)
Why?
- First exercise:
To solve the problem we need to consider that for each 1/2 cup of cornmeal, we will have 6 corn muffins.
So, calculating we have:
We can see that, if each 1/2 cups can give us 6 corn muffins, 2 cups can give us 24 corn muffins.
Hence, there are 3 cups left.
- Second exercise:
We can solve the problem by multiplying or adding the fractions according to the number of dots assigned to each one.
So, calculating we have:
Hence, we have that David covered a total 158 miles. (Option C)
Have a nice day!
Answer:
No
Step-by-step explanation:
-5*1+6*5=30 as the value doesn't support the equation
Answer:
B length = 8 in.; width = 4 in
Step-by-step explanation:
Given
the length L = w + 4
Perimeter = 24 inches
Perimeter of a rectangle
= 2(L + W)
We now have two equations.
Equation 1: L = w + 4
Equation 2: P = 2(L + W)
Substitute L as w + 4 into equation 1. And 24 for p
Therefore
24 = 2(w + 4 + w)
24 = 2(2w + 4)
Distribute 2 into (2w + 4)
We have
24 = 2 x 2w + 2 x 4
24 = 4w + 8
Subtract 8 from both sides
24 - 8 = 4w + 8 - 8
16 = 4w
Divide both sides by 4
16/4 = 4w/4
4 = w
w = 4 inches
Now substitute 4 for w into either of the equations to get
L.
Using equation 1 , we have
L = w + 4
L = 4 + 4
L = 8 inches
Answer:
If 550 toys are made in a day, and 6% of them are defective, about 33 of them will be defective.
Step-by-step explanation:
To calculate the number of toys that will be defective, move the decimal of the percentage 2 place to the left. So the 6% will turn into 0.06, then you would multiply 550 by 0.06. Resulting in about 33 toys being defective.
6% = 0.06
-
550 x 0.06 = 33
