Answer:
x = 11
Step-by-step explanation:
well you take the base equation 11*x + 1*x = 286
( x being hours and y being the number of miles)
then you put in the numbers of the question it gives you 11x + 15x = 286 then you should add 11x and 15x together because they have the same variable which gives you 26x = 286 then you divide 286/26 so that you get x = 11
Choosing the coaches of the basketball teams is independent because which girl he chooses does not influence nor is it influenced by the choice for the boy
Total purchased w/o tax: $8 +$5 + $15 = $28
He paid (w/tax) $29.82 so
$ 29.82 - $28 = $1.82 (sale tax)
Now we need to find the sales tax rate:
$1.82 / $28 * 100 = 0.065 *100% = 6.5%
Double check:
$28 *6.5 / 100 = $1.82
$28 + $ 1.82 = $29.82 total amount he paid..
So the sales tax rate is 6.5%
Answer: 985 g
Step-by-step explanation:
Total mass = 8 × 500g = 4000g
Let the three new packs be X, Y, and Z, for first, second, and third pack respectively.
4000g = X + Y + Z
let's put X and Z in terms of Y, since we're trying to solve for the second pack.
X = 2Y, and Z = Y + 60
Therefore,
4000 = X + Y + Z
4000 = 2Y + Y +Y + 60
4000 = 4Y +60
4000 - 60 = 4Y
3940 = 4Y
3940 ÷ 4 = Y
985g = Y = mass of the second pack
To arrive at the answer, I graphed the piecewise function using a graphing calculator, then evaluated it at x=38 and x=52. I drew a line at y=445 and found the point of intersection on the graph.
a) The difference between earnings for 52 hours ($580) and earnings for 38 hours ($380) is
$200.
b) An employee must work
43 hours to earn $445.
