One way in which to approach this problem would be to treat it as an equation of ratios and to cross multiply:
<span>[(4x + 15) / 5x)] = 1/2 could be written as:
4x + 15 1
----------- = ---
5x 2
Then 8x + 30 = 5x
3x = -30, and so x = -10 (answer). Be certain to check this answer through substitution!
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Answer:
d < 1
Step-by-step explanation:
First, we have to get d on the same side of the equation. So we will subtract d from both sides and the equation will be 12d-d < + 11. We could also write this problem as d(12-1) < 11, which when simplified would be d(11) < 11. Next, divide both sides by 11 and you get d< 1. Hope this helps and have a great day!!:D
Answer:
C) 24 adults
Step-by-step explanation:
Let A be the number of adults and C be the number of children.
If a ticket costs $8 per adult, we can express this as 8A
If a ticket costs $5 per child, we can express this as 5C
Combining the two expressions, we can write 8A+5C=272 as our first equation since the total amount of money collected is $272.
Our second equation would be A+C=40 since there are 40 people.
Now, we can take the second equation and write it as C=40-A so we can substitute the value of C into the first equation as 40-A so we only have to deal with one variable, the amount of adults that went to the theater.
The first equation now becomes 8A+5(40-A)=272 and is much easier to solve:
8A+5(40-A)=272
8A+200-5A=272
3A+200=272
3A=72
A=24
Therefore, there are 24 adults
129 degrees you just add DCE and ECF together
Answer:
3x−y=5;x+2y=4
x=2 and y=1
Step-by-step explanation: