Answer: The missing number is 55
The denominators are 20 and 100. We multiply by 5 to jump from the smaller denominator to the larger.
Do the same for the numerators
11*5 = 55
Or you can solve the proportion below for x
11/20 = x/100
11*100 = 20*x
1100 = 20x
20x = 1100
x = 1100/20
x = 55
Answer:
x ≓ 0.269143105
x = 1
Step-by-step explanation:
mathpapa helps great
Find the difference per row:
10 seats in the first row
30 seats in the sixth row:
30 -10 = 20 seats difference.
6-1 = 5 rows difference.
20 seats / 5 rows = 4 seats per row.
This means for every additional row, there are 4 more seats per row.
The equation would be:
Sn = S +(n-1)*d
Where d is the difference = 4
S = number of seats from starting row = 10
n = the number of rows wanted
S(11) = 10 + (11-1)*4
S(11) = 10 + 10*4
S(11) = 10 + 40
S(11) = 50
Check:
Row 6 = 30 seats
Row 7 = 30 + 4 = 34 seats
Row 8 = 34 + 4 = 38 seats
Row 9 = 38 + 4 = 42 seats
Row 10 = 42 + 4 = 46 seats
Row 11 = 46 + 4 = 50 seats.
Answer:
160 cups of lemonade and 80 packages of cookies.
Step-by-step explanation:
l = lemonade
c = cookies
l+1.5c=280
2c=l
Substitute.
3.5c=280
Simplify.
c=80
Substitute into the second equation.
l=160.
Plug it back into the equations to check.
Answer:
The coefficient of 
is 
Step-by-step explanation:
The two expressions are
and 
.
The sum of the two expressions is
When we group like terms the expression will be,
When we simplify the expression will now be
The coefficient of is the constant behind in the expression.
The coefficient of is therefore .
