Answer:
x= 16 and y = 9
Step-by-step explanation:
1 st equation ; x+y = 25
2 nd equation ; x- y = 7
from 1 st equation
x = 25 - y
now putting value of x in 2 nd equation
x- y = 7
25 - y-y = 7
25 -2y =7
25-7 = 2y
18 = 2y
18/2 = y
y = 9
again
putting value of y in 1 st equation
x = 25-y
x = 25-9
x= 16
Step-by-step explanation:
Transitive property of Angle Congruence
Answer:
w=15
Step-by-step explanation:
-24=-3w+21
We move all terms to the left:
-24-(-3w+21)=0
We get rid of parentheses
3w-21-24=0
We add all the numbers together, and all the variables
3w-45=0
We move all terms containing w to the left, all other terms to the right
3w=45
w=45/3
w=15
Answer:
He has to buy 4 packages of hamburgers in packages of 30 and 5 packages of hamburgers in packages of 24
Step-by-step explanation:
First we have to calculate the least common multiple (LCM) of 24 and 30
We will calculate the LCM of 24 and 30 by prime factorization method
24 = 2*2*2*3 = 
30 = 2*3*5 = 
LCM = 
LCM = 120
So number of hamburger buns = 120
Therefore, he must buy 120/24 = 5 packages of hamburgers in packages of 24 and he must also buy 120/30 = 4 packages of hamburgers in packages of 30
Answer:
B) 5 x 4 x 3 x 2 x 1
Step-by-step explanation:
When you see a ! directly next to a number (such as 5!), it means that you are multiplying starting from that number, and stepping down each time:
5! = 5 * 4 * 3 * 2 * 1
For example, take factoral 10: 10!
10! = 10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1 = 3,628,800
In this case, you are multiplying 5!.
5! = 5 * 4 * 3 * 2 * 1 = (20) * (6) * 1 = 120
5! = 120
