The net amount they raise is the amount they receive minus what they pay in expenses.
They receive:
$10,000 fixed amount in donations
$55 per person
They pay:
$15 per person
If there are x number of entries, they receive 55x from the entries.
Also, they pay 15x for the entries.
The net amount they raise is amount they receive min us amount they pay:
55x + 10,000 - 15x
which simplifies to
40x + 10,0000
They want to raise at least $55,000.
At least $55,000 means $55,000 or more.
They want to raise an amount greater than or equal to $55,000.
Now we write the inequality:
40x + 10,000 >= 55,000
Now we solve the inequality for x, the number of entries.
40x >= 45,000
x >= 1125
They must have 1125 or more race entries to raise $55,000.
Answer:
The total number of students in a survey is 300.
Let the number of junior male(JM) be x and the number of senior males(SM) be y.
Let the number of junior female(JF) be p and the number of senior males(SF) be q.
It is given that there are 160 males, 80 junior females, 130 seniors.
Since number of males are 160. So the number of females are,

Since number of junior females is 80.

Since number of seniors are 130.

Since number of males is 160.

Therefore, the table and venn diagram is shown below.
Answer:
- True for Co-Prime Numbers
- False for Non Co-Prime Numbers
Step-by-step explanation:
<u>STATEMENT:</u> The LCM of two numbers is the product of the two numbers.
This statement is not true except if the two numbers are co-prime numbers.
Two integers a and b are said to be co-prime if the only positive integer that divides both of them is 1.
<u>Example: </u>
- Given the numbers 4 and 7, the only integer that divides them is 1, therefore they are co-prime numbers and their LCM is their product 28.
- However, consider the number 4 and 8. 1,2 and 4 divides both numbers, they are not co-prime, Their LCM is 8 which is not the product of the numbers.
Answer:
10x+4b+3
Step-by-step explanation:
x+x+x+x+x+x+x+x+x+x+b+b+b+b+3
There are 10 x
4 b
and one number
10x+4b+3