A + c = 824 represents number of tickets to sell
20a + 12c = 13,344 represents cost of each type of ticket
multiply equation 1 by -12 to cancel the variable 'c' and solve for 'a'
-12(a + c = 824)
-12a - 12c = - 9888
20a + 12c = 13,344 add equations together
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8a = 3456 divide both sides by 8
a = 432
To find children's tickets substitute adult numbers back into equation 1.
a + c = 824
432 + c = 824
subtract 432 from both sides
c = 392
adult 432, children 392
Answer:
I'll list the answers as coordinates (just input the second number in each coordinate)
(-2, 11)
(0, 1)
(2, -9)
(4, -19)
Step-by-step explanation:
So you see how the x column is filled out? You plug in the numbers in each area and solve for y.
So we start off with -2. You take the x out and place -2 instead. Your equation should look like this:
y = -5 (-2) + 1
Next you multiply -5 and -2, giving you 10. Your equation would look like this now:
y = 10 + 1
Next you add 10 and 1 together, and you have your answer. Keep doing the same thing, but instead of -2 for x, use 0, 2, and 4.
Hope I helped! Have a nice day or night! ^-^
2/5 tablespoons of vanilla extract ... 6 muffins
x tablespoons of vanilla extract = ? ... 18 muffins
If you would like to know how much vanilla extract does he need, you can calculate this using the following steps:
x * 6 = 18 * 2/5
x * 6 = 36/5 /6
x = 36/5 / 6
x = 6/5 = 1 1/5
Result: Arthur will need 1 1/5 tablespoons of vanilla extract for 18 muffins.
Answer:
$105
Step-by-step explanation:
3x5=15
6x5= 30
2x5=10
4x5=20
6x5=30
15+30+10+20+30
=$105