Answer:
- 12x +15y = 4140; x + y = 300
- x = 120; y = 180
Step-by-step explanation:
The first equation is for receipts. Each x ticket generated $12 in receipts, so the first term needs to be 12x. Each y ticket generated $15 in receipts, so the second term needs to be 15y. U in this set of equations is the total number of tickets, said to be 300.
The equations are ...
12x +15y = 4140; x +y = 300
__
Using the second equation to write an expression for x, we have ...
x = 300 -y
Substituting this into the first equation gives ...
12(300 -y) +15y = 4140
3600 +3y = 4140
y = (4140 -3600)/3 = 180
x = 300 -180 = 120
The number of tickets sold is ...
$12 tickets -- 120
$15 tickets -- 180
_____
You might want to notice that the equation we ended up with:
4140 -12(300) = 3y
is equivalent to this "word solution." This can be done in your head; no equations required.
If all the tickets sold were $12 tickets, the revenue would be $3600. The revenue is $540 more than that. Each $15 ticket generates $3 more revenue than a $12 ticket, so to have $540 more revenue, we must have 540/3 = 180 $15 tickets.
Answer:
45
Step-by-step explanation:
Decreasing by 25% means that there is 25% less of last years amount or 0.25x less. It also means that this year there is only 75% of what was last year actually in the lake or 0.75x. Since last year, there were 60 fish, this means this year there is 0.75(60) = 45. This year has 45 fish.
Credit to this answer goes to @MrsStrong
Hope this helps :))
Answer: 0.63 repeating
Step-by-step explanation:
Alrighty! So, we're going to be dividing 7/11. First off, we know that 11 cannot go into 7, so we will add a decimal point to the 7. We now have 7.0 (aka 70) divided by 11.Don't forget to add the decimal on top! How many times does 11 go into seventy? Six times. So, now we put the six on top. Six times 11 equals 66, so now we're doing to subtract 66 from 70. Your answer should be 4. And because we haven't gotten our final answer yet, we will have to add another a 0 to 7.0 (now 7.00) and add the 0 down to 4 aswell (now 40) Now, how many times does 11 goes into 40? 3. So add the 3 on top. 11x3 equals 33, so now we're going to subtract 33 from 40. You should get 7. Like the last time, since we haven't gotten a final answer, we're going to add another 0 to 7.00 (now 7.000) and bring a 0 down. You should now have 70.
Just to help you save some time, if you repeat this process, you will get a repeating decimal ( 0.63636363636363636363636363...) So, your final answer is 0.63 repeating. (Add a line above the 63 to indicate its repeating)
Sorry if this is kinda complicated, I tried my best to explain it!
^_^
<u>*Let me know if you have any questions!</u>
Answer:
Step-by-step explanation:
Given that Heights of 10-year-olds, regardless of gender, closely follow a normal distribution with a mean of 55 inches and a standard deviation of 6 inches.
If X is height then X is N(55,6)
Z score would be 
b) 
c) Tallest 10% z = 1.28
X score = 
inches
d)
i.e. 16.37% cannot go on this ride.
Ur dumbbhhgyyhhhubbbjnnnnmkk
