Chris is incorrect. To check the answer, replace m with 8 and simplify the left side. So m/6 turns into 8/6 which converts to the decimal value 1.333 (use a calculator)
Therefore the original equation m/6 = 48 becomes 1.333 = 48 after you plug in m = 8 and simplify fully. The two sides of 1.333 = 48 are not the same, so m = 8 is not the solution.
--------------------
The solution is actually 288 and we can prove it so like this
m/6 = 48
288/6 = 48 .... replace m with 288
48 = 48 .... use a calculator to compute 288/6
So the solution m = 288 is confirmed
------------------
How did I get this answer? By multiplying both sides by 6
m/6 = 48
6*(m/6) = 6*48 ..... multiply both sides by 6
m = 288
So Chris mistakenly divided both sides by 6, which explains how he got 48/6 = 8 as the solution. Instead he should have multiplied both sides by 6. This is to undo the operation "divide by 6" that is being applied to m in the original equation.
Answer:
32 one-dollar bills.
Step-by-step explanation:
Let <em>x </em>represent one-dollar bills and <em>y </em>represent two-dollar bills.
He has a total of 49 bills. Therefore:
The total amount of money James has is 66. <em>x</em> is worth one dollar, while <em>y</em> is worth two dollars. Therefore:
We have a system of equations. Solve by substitution:
Therefore, James has 32 one-dollar bills and 17 two-dollar bills.
Checking:
(0,0) (3,4)
(4-0)/(3-0) = 4/3
The slope is 4/3
Answer:
(x, y, z) = (-1, -4, -5)
Step-by-step explanation:
(x, y, z) = (Dx, Dy, Dz)/D = (-6, -24, -30)/6
(x, y, z) = (-1, -4, -5)
