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:
p=122 q=80 r=80
Step-by-step explanation:
Answer:
C. 
Step-by-step explanation:
{y = ¼x - 3}
{2x + 4y = 12
2x + 4[¼x - 3] = 12
2x + x - 12 = 12
3x - 12 = 12
+ 12 + 12
_________
3x = 24
__ __
3 3
[Plug this back into both equations above to get the y-coordinate of −1]; 
I am joyous to assist you anytime.
Answer:
35 percent
Step-by-step explanation:
1050 / 3000 as a percent
1050 / 3000 = 105 / 300
Divide both sides by 3:
300 / 3 = 100
105 / 3 = 35
35 / 100 = 35 percent
Answer:
75/4 cups (or 18-3/4 cups)
Step-by-step explanation:
Ignore all the wording about glue, baking soda and saline.
What this question reduces to is that the recipe for :
2 people ---> requires 3 3/4 cups (or 15/4 cups) of shaving cream
10 people ----> requires 5 times the amount of shaving cream needed for 2 people
Hence shaving cream needed for 10 people
= 5 x 3 3/4 cups
= 5 x 15/4 cups
= 75/4 cups (or 18-3/4 cups)
