Answer:
2w/5
Step-by-step explanation:
Divide whole numbers by 11,leave the variable.
Step-by-step explanation:
it all starts with the understanding that "midpoint" means that the line segments on both sides have the exact same length.
this is the same as "cut a pizza or a cake in half".
therefore, we know
10x + 1 = 8x + 13
2x + 1 = 13
2x = 12
x = 6
AB = 10x + 1 = 10×6 + 1 = 60 + 1 = 61
BC = AB but to control : 8×6 + 13 = 48+13 = 61
correct.
AC = AB + BC = 61 + 61 = 122
24 + 4pi
This is because each side is 8 and the arc (using the perimeter of a circle formula) is 4pi.
Answer:
There are 24 nickels
Step-by-step explanation:
Let x represent the number of nickels
Let y represent the number of quarters
—————————————————————
Value Value
Type Number of of
of of each all
Coin Coin Coin Coin
—————————————————————
Nickels | x | $0.05 | $0.05x
Quarters | y | $0.25 | $0.25y
—————————————————————
Totals 28 ——— $2.20
•••••••••••••••••••••••••••••••••••••••••••••••••
The first equation comes from the “Number of coins” column.
(Number of nickels) + (Number of quarters) = (total number of coins)
Equation: x + y = 28
—————————————————————
The second equation comes from the “value of all coins” column.
(Value of all nickels) + (Value of all quarters) = (Total value of all coins)
0.05x + 0.25y = 2.20
Remove the decimals by multiplying each term by 100:
5x + 25y = 220
—————————————————————
So we have the system of equations:
{x + y = 28
{5x + 25y = 202
Solve by substitution. Solve the first equation for y:
x + y = 28
y = 28 - x
Substitute (28 - x) for y in 5x + 25y = 220
5x + 25 (28 - x) = 220
5x + 700 - 25x = 220
-20x + 700 = 220
-20x = -480
x = 24
The number of nickels is 24.
————————————————————
Substitute in y = 28 - x
y = 28 - (24)
y = 4
The number of quarters is 4.
————————————————————
Checking:
24 nickels is $1.20 and 4 quarters is $1.00
That’s 28 coins.
Indeed $1.20 + $1.00 = $2.20
————————————————————
Answer:
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