Answer:
The cost of each drink was $9.25 and the cost of each popcorn was $5.5
Step-by-step explanation:
Let the cost of each drink be d
Let the cost of each popcorn be p
Steven spends $138.50 for 12 drinks and 5 bags of popcorn. This implies that:
12d + 5p = 138.50 _________ (1)
Jennifer buys two drinks and seven bags of popcorn for a total of $57. This implies that:
2d + 7p = 57 ______________(2)
We have two simultaneous equations/
12d + 5p = 138.50 _________ (1)
2d + 7p = 57 ______________(2)
Multiply (2) by 6 and subtract (1) from it:
12d + 42p = 342
- 12d + 5p = 138.50
———————————
37p = 203.5
p = $5.5
Puutting the value of p back in (2):
2d + 7(5.5) = 57
2d + 38.5 = 57
2d = 57 - 38.5 = 18.5
d = 18.5 / 2 = $9.25
The cost of each drink was $9.25 and the cost of each popcorn was $5.5
Answer:
FIrst blank: lever
And, did you mean to put class?
Step-by-step explanation:
Answer:
The of tax is $ 2812.50
Step-by-step explanation:
Given that Mary's salary is $x per year, then applying the 15% flat tax rate will give the amount paid for tax as;
15/100 *x =0.15 x -----equation (i)
After reforms , Mary still pays a tax similar to the original system. This means the amount of Mary's salary is above $7500.
Mary's amount above is the flat rate of $7500 is ;
$(x-7500)
Applying the 25% tax will give;
25/100 ( x-7500)
0.25(x-7500)
0.25x -1875 --------equation (ii)
Equating the two equations
0.15x = 0.25x - 1875
collect like terms
1875=0.25x-0.15
1875 =0.10x
Divide both sides by 0.10 to get x
1875/0.10 = 0.10x/0.10
18750 = x
The amount of Mary's salary is $18750
The amount of tax she pays is;
0.15 * 18750 =$ 2812.50
Two events are independent if the outcome of the second event is not affected by knowing the outcome of the first outcome.Example: If you have a bag of marbles of 3 red, 4 yellow, and 2 green, and you grab a yellow marble out of the bag then replace it what is the probability of grabbing another yellow one. Since you replaced it the probability of the second is not affected by the first one.