14 attendees
Step-by-step explanation:
12 attendees : $ 84
x : $ 98
Cross-multiply;
84 x = 98 * 12
x = 14
Answer:
28
Step-by-step explanation:
I'm not sure if this is right
She rode 7 miles in 2 hours, so because she is going at the same speed you times/multiply 7 x 4 in order to determine the miles. I timed it by 4 because 2 hours times 4 = 8 hours.
Hope that helped because I believe it is right :)
Answer:
13 ingredients
Step-by-step explanation:
The number of different recipes that can be made from 2 ingredients = 78
Since there are no two recipes that share the exact same two ingredients ;
The number of recipes in Mark's kitchen is:
nCk = 78
k = Number of ingredients per recipe = 2
n = total number of ingredients in kitchen
Total recipes made = 78
n! / (n-r)!r! = 78
n! / (n - 2)!2! = 78
n(n-1)(n-2)! / (n-2)! * 2 * 1 = 78
n(n - 1) / 2 = 78
n(n-1) = 156
n² - n = 156
n² - n - 156 = 0
Factorize :
n² - 13n + 12n - 156 = 0
n(n - 13) +12(n-13) = 0
(n-13) = 0 ; (n+12) = 0
n = 13 or n = - 12
n cannot be negative
Hence, n = 13
Number of ingredients is 13
The a value in the expression is 5x^2
To find the value of x, the angles must equal the same number at the end (corresponding angles)
4x = 3x + 10
isolate the x to find the value of x
4x (-3x) = 3x (-3x) + 10
4x - 3x = 10
x = 10
Check:
4(10) = 40
3(10) + 10 = 30 + 10 = 40 (True)
10 is your answer for <em>x</em>
hope this helps