Answer:
![\frac{3}{2}t+15\leq 21](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B2%7Dt%2B15%5Cleq%2021)
Step-by-step explanation:
Let t represent the number of teachers.
We have been given that Noor gave 1/3 of a sheet to each of the 45 students at recess.
Let us find the number of sheets given to students by Noor by multiplying the total number of students by the part of sheet given to each student.
![\text{Number of sheets given to 45 students}=45\times \frac{1}{3}](https://tex.z-dn.net/?f=%5Ctext%7BNumber%20of%20sheets%20given%20to%2045%20students%7D%3D45%5Ctimes%20%5Cfrac%7B1%7D%7B3%7D)
![\text{Number of sheets given to 45 students}=15](https://tex.z-dn.net/?f=%5Ctext%7BNumber%20of%20sheets%20given%20to%2045%20students%7D%3D15)
So, Noor gave 15 sheets to 45 students.
We have been given that Noor wants to give
sheet to each teachers, so the number of sheets given to t teachers will be
.
As Noor has bought 21 sheets, so the number of sheets given to students and t teachers will be less than or equal to 21.
We can represent this information in an inequality as:
![\frac{3}{2}t+15\leq 21](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B2%7Dt%2B15%5Cleq%2021)
Therefore, the inequality
represents the number of teachers ,t, Noor could give sheets of stickers too.
Answer: 185
Step-by-step explanation:
37% of 500 = 185
<u><em>Answer:</em></u>
100,000
<u><em>Explanation:</em></u>
To round a number to the nearest hundred thousands, we need to check the digit in the ten thousands position:
1- If this digit is <u>less than 5</u>, we will round down. This means that the digit in the hundred thousands position will remain the same and all digits after it will be converted to zeroes
2- If this digit is <u>equal to or greater than 5</u>, we will round up. This means that we will add one to the digit in the hundred thousands position and convert all digit after it to zeroes
Now, the given number is:
89,659
The digit in the hundred thousands position is 0
The digit in the ten thousands position is 8 which is greater than 5. Therefore, we will round up following rule 2 written above
This means that 89,659 rounded to the nearest hundred thousands would be 100,000
Hope this helps :)
Answer:
The total number of shoppers that visited the mall in the first 7 days is 234.
Step-by-step explanation:
The number of customers at the new shopping mall on their first day of business was, <em>X</em> = 120.
It is provided that each day the number of shoppers is 10% more than the number of shoppers the day before.
This implies that the number of shoppers on the second day of the opening is:
Number of shoppers on the 2nd day = (120 × 1.10)
Then the number of shoppers on the third day of the opening will be:
Number of shoppers on the 3rd day = (120 × 1.10) × 1.10
And so on.
Compute the total number of shoppers that visited the mall in the first 7 days as follows:
![\text{Number of shoppers on the first 7 days} = 120 \times (1.10)^{7}](https://tex.z-dn.net/?f=%5Ctext%7BNumber%20of%20shoppers%20on%20the%20first%207%20days%7D%20%3D%20120%20%5Ctimes%20%281.10%29%5E%7B7%7D)
![=120\times 1.9487171\\=233.846052\\\approx 234](https://tex.z-dn.net/?f=%3D120%5Ctimes%201.9487171%5C%5C%3D233.846052%5C%5C%5Capprox%20234)
Thus, the total number of shoppers that visited the mall in the first 7 days is 234.
7x + 3y = 30
-2x + 3y = 3....multiply by -1
-----------------
7x + 3y = 30
2x- 3y = -3 (result of multiplying by -1)
----------------add
9x = 27
x = 27/9
x = 3
7x + 3y = 30
7(3) + 3y = 30
21 + 3y = 30
3y = 30 - 21
3y = 9
y = 9/3
y = 3
solution is (3,3)