Answer:
1600 integers
Step-by-step explanation:
Since we have a four digit number, there are four digit placements.
For the first digit, since there can either be a 5 or an 8, we have the arrangement as ²P₁ = 2 ways.
For the second digit, we have ten numbers to choose from, so we have ¹⁰P₁ = 10.
For the third digit, since it neither be a 5 or an 8, we have two less digit from the total of ten digits which is 10 - 2 = 8. So, the number of ways of arranging that is ⁸P₁ = 8.
For the last digit, we have ten numbers to choose from, so we have ¹⁰P₁ = 10.
So, the number of integers that can be formed are 2 × 10 × 8 × 10 = 20 × 80 = 1600 integers
Answer:
<u>30</u>
Step-by-step explanation:
You just have to do 150 divided by 5 because you are trying to find out how many pages per day that student read.
Answer:
The rectangle has a greater surface area
Step-by-step explanation:
Answer:
- 71 in House of Representatives
- 17 in Senate
Step-by-step explanation:
Let h and s represent the numbers in the House and Senate, respectively. Then we have ...
h + s = 88
h - s = 54
Subtracting the second equation from the first gives ...
(h +s) -(h -s) = (88) -(54)
2s = 34 . . . . . simplify
s = 17 . . . . . . . divide by 2
h = 88 -17 = 71 . . . . find the other value using the sum equation
There were 71 females in the House of Representatives, and 17 females in the Senate.
Answer:205
Step-by-step explanation:
