Answer: The number of different ways she could arrange the carpet squares is 36!.
Step-by-step explanation:
We know that , the number of ways to arrange n things = n!
Given that , Your teacher has 36 carpet squares.
i.e. The total number of carpet squares = 36
If she needs to make a new arrangement for the reading carpet.
Then, the total number of arrangement of carpet squares would be 36!.
Hence , the number of different ways she could arrange the carpet squares is 36!
Answer:
7
Step-by-step explanation:
We want to find the number 4-digit of positive integers n such that removing the thousands digit divides the number by 9.
__
Let the thousands digit be 'd'. Then we want to find the integer solutions to ...
n -1000d = n/9
n -n/9 = 1000d . . . . . . add 1000d -n/9
8n = 9000d . . . . . . . . multiply by 9
n = 1125d . . . . . . . . . divide by 8
The values of d that will give a suitable 4-digit value of n are 1 through 7.
When d=8, n is 9000. Removing the 9 gives 0, not 1000.
When d=9, n is 10125, not a 4-digit number.
There are 7 4-digit numbers such that removing the thousands digit gives 1/9 of the number.
A = 6 cm; B = 3 cm; C = 8 cm; D = 10 cm
The Surface area of the prism = 120 cm².
<h3>How to Find the Surface Area of Triangular Prism?</h3>
Surface area = Area of A + B + C + D
The side lengths are:
A = 6 cm
B = 3 cm
C = 8 cm
D = 10 cm
Surface area of the prism = 2(area of triangular face) + area of rectangle 1 + area of rectangle 2 + area of rectangle 3
Area of triangular face = 1/2(b)(h) = 1/2(8)(6) = 24 cm
Area of rectangle 1 = (length)(width) = (10)(3) = 30 cm²
Area of rectangle 2 = (length)(width) = (6)(3) = 18 cm²
Area of rectangle 3 = (length)(width) = (8)(3) = 24 cm²
Surface area of the prism = 2(24) + 30 + 18 + 24 = 120 cm².
Learn more about Surface Area of Triangular Prism on:
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Answer: He sold 10 pounds of cashews .
Step-by-step explanation:
Since we have given that
Selling price of walnuts = $4.00 a pound
Selling price of cashews = $7.00 a pound
Number of pounds of walnuts = 10
Let number of pounds of cashew be x
Total price at which he sold a mixture = $5.50
According to question,
Hence, he sold 10 pounds of cashews .
QUESTION A
The total number of bottles Ella collected is
The number of bottles that are plastic is
The percentage of bottles that are plastic is
Therefore 38% of the bottles are plastic.
QUESTION B
The total number of bottles that are glass is
The total number of bottles Ella collected is
The percentage of bottles that is glass is
Therefore 62% of the bottles are glass
