Answer:
$13,500.
Step-by-step explanation:
Let x represent money spent on monthly bills.
We have been given that last month a museum received €21000 in donations. The ratio of bills to donations was 5:14.
We will use proportions to solve our given problem.
![\frac{\text{Bills}}{\text{Donations}}=\frac{5}{14}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7BBills%7D%7D%7B%5Ctext%7BDonations%7D%7D%3D%5Cfrac%7B5%7D%7B14%7D)
![\frac{x}{21000}*21000=\frac{5}{14}*21000](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B21000%7D%2A21000%3D%5Cfrac%7B5%7D%7B14%7D%2A21000)
![x=5*1500](https://tex.z-dn.net/?f=x%3D5%2A1500)
![x=7500](https://tex.z-dn.net/?f=x%3D7500)
Now, we will subtract $7500 from donations to find the amount spent on new exhibitions as:
![\$21,000-\$7500=\$13,500](https://tex.z-dn.net/?f=%5C%2421%2C000-%5C%247500%3D%5C%2413%2C500)
Therefore, they spent $13,500 on new exhibitions.
It is the longest side
it is opposite the right angle
complete question:
The sum of the digits of a two-digit numeral is 8. If the digits are reversed, the new number is 18 greater than the original number. How do you find the original numeral?
Answer:
The original number is 10a + b = 10 × 3 + 5 = 35
Step-by-step explanation:
Let
the number = ab
a occupies the tens place while b occupies the unit place. Therefore,
10a + b
The sum of the digits of two-digits numeral
a + b = 8..........(i)
If the digits are reversed. The reverse digit will be 10b + a. The new number is 18 greater than the original number.
Therefore,
10b + a = 18 + 10a + b
10b - b + a - 10a = 18
9b - 9a = 18
divide both sides by 9
b - a = 2...............(ii)
a + b = 8..........(i)
b - a = 2...............(ii)
b = 2 + a from equation (ii)
Insert the value of b in equation (i)
a + (2 + a) = 8
2a + 2 = 8
2a = 6
a = 6/2
a = 3
Insert the value of a in equation(ii)
b - 3 = 2
b = 2 + 3
b = 5
The original number is 10a + b = 10 × 3 + 5 = 35