Yo sup??
we can simply try option verification for this problem.
when x=0 we get,
1 and 1≠5 therefore x=0 is not a solution.
when x=1 we get
√6-1≠5 therefore x=1 is not a solution.
when x=16 we get
9-4=5 therefore x=16 is a solution
Hence the correct answer is option C
Hope this helps.
Answer:
1. ≈ 12.85
2. 15
3. -38
4. 41 miles
5. 88
Step-by-step explanation:
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
————————————————————
Solve Step by Step:
1) Write the Equation: 31/2 = how many pine cones Jenna and Ellen found.
2) Solve 31/2= 15.5
So each girl found 15 and a half pine cones. Or one girl found 15 and the other found 16. If you want to have each girl find an even amount.