Answer:
55 is the answer
Step-by-step explanation:
180-76-49= 55 !!!!!
D
Step-by-step explanation:
The number of guests is the independent variable and should be between 1 and 50. We can use a scale of 10's
The cost is the dependent variable and the minimum cost is 100 and should rise from there
The scale would be from 100 's
Fron the table given:
A3 = 112,
A8 = - 3,584
An = A1 *r ^ (n-1)
=> A3 = A1 (r^2) = 112
A8 = A1(r^7) = - 3,584
=> - 3584 / 112 = (r^7) / (r^2)
=> (r^5) = - 32
=> r = - 2
=> A1 (- 2)^2 = 112
=> A1 = 112 / 4 = 28
Answer: a1 = 28
Answer:
Each shade has a 22.5 degree angle from the middle
Each unshaded has a 67.5 degree angle from the middle.
Step-by-step explanation:
You can solve this by making each unshaded part equal to x and each shaded part equal 1/3x it is a circle so it has to equal 360 so you end up with:
x + 1/3x + x + 1/3x + x + 1/3x + x + 1/3x = 360
Combine Like terms:
16/3x = 360
Multiply both sides by the opposite:
(3/16) (16/3x) = (360) (3/16)
x=135/2 or x=67.5
Then you can plug 67.5 in for x:
1/3x ---> 1/3(67.5) = 22.5
Answer:
8 one-dollar bills
3 five-dollar bills
2 ten-dollar bills
Step-by-step explanation:
Let x = # of one-dollar bills, y = # of five-dollar bills, and z = # of ten-dollar bills. Total amount in the wallet is $43, so the first equation would be 1x + 5y + 10z = 43. Next, there are 4 times as many one-dollar bills as ten-dollar bills, so x = 4z. There are 13 bills in total, so x + y + z = 13
x + 5y + 10z = 43
x = 4z
x + y + z = 13
x + 5y + 10z = 43
x + 0y - 4z = 0
x + y + z = 13
5y + 14z = 43
-y - 5z = -13
5y + 14z = 43
-5y - 25z = -65
-11z = -22
z = 2
x = 4z
x = 4*2 = 8
x + y + z = 13
8 + y + 2 = 13
10 + y = 13
y = 3
