Answer:
h= −15 /2
Subtract 6h from both sides.
Subtract 7 from both sides.
Divide both sides by 2.
The sides of the triangle are 3x, 4x and 5x
3x + 4x + 5x = 90
12x = 90
x = 90/12
x = 7.5
first side = 3x = 3 * 7.5 = 22.5 cm
second side = 4x = 4 * 7.5 = 30 cm
third side = 5x = 5*7.5 = 37.5 cm
Answer:
The total budget is $1260
Step-by-step explanation:
Given
![Props = \$693](https://tex.z-dn.net/?f=Props%20%3D%20%5C%24693)
![Costumes = 45\%](https://tex.z-dn.net/?f=Costumes%20%3D%2045%5C%25)
Required
Determine the total budget
Since all budgets was spent on Props and Costumes only.
We have that.
![\%Props + \%Costumes = 100\%](https://tex.z-dn.net/?f=%5C%25Props%20%2B%20%5C%25Costumes%20%3D%20100%5C%25)
![\%Props + 45\%= 100\%](https://tex.z-dn.net/?f=%5C%25Props%20%2B%2045%5C%25%3D%20100%5C%25)
![\%Props= 100\% -45\%](https://tex.z-dn.net/?f=%5C%25Props%3D%20100%5C%25%20-45%5C%25)
![\%Props= 55\%](https://tex.z-dn.net/?f=%5C%25Props%3D%2055%5C%25)
In other words, 55% was spent on Props
Let the total budget be x, we have:
![55\% * x = \$693](https://tex.z-dn.net/?f=55%5C%25%20%2A%20x%20%3D%20%5C%24693)
Make x the subject
![x = \$693/55\%](https://tex.z-dn.net/?f=x%20%3D%20%5C%24693%2F55%5C%25)
![x = \$1260](https://tex.z-dn.net/?f=x%20%3D%20%5C%241260)
Hence, the total budget is $1260
Answer: B. 10
-5C3 or 5 choose 3 refers to how many combinations are possible from 5 items, taken 3 at a time. To calculate combinations, we will use the formula nCr = n! / r! ... * (n - r)!, where n represents the total number of items, and r represents the number of items being chosen at a time.
-10 is the total number of all possible combinations for choosing 3 elements at a time from 5 distinct elements without considering the order of elements in statistics & probability surveys or experiments. The number of combinations for sample space 5 CHOOSE 3 can also be written as 5C3 in the format of nCr or nCk.
Step-by-step explanation: Hope this help :D