Find the 29th term of the arithmetic sequence 182,176,170
1 answer:
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Answer:
The number of adult tickets are 33 and the number of student tickets are 21 .
Step-by-step explanation:
As
The number of adult tickets x and the number of student tickets y.
As given
A carnival sold tickets for $1.50 for adults and $1.00 for students.
There were 54 tickets sold for a total of $70.50.
Equations becomes
x + y = 54
1.50x + 1.00y = 54 × 70.50
Simplify the above
150x + 100y =7050
Two equations are
x + y = 54
150x + 100y =7050
Multiply x + y = 54 by 150 from 150x + 100y =7050
150x - 150x + 100y - 150y = 7050 - 8100
-50y = -1050
50y = 1050
y = 21
Putting the value of y in the equation .
x + 21 = 54
x = 54 - 21
x = 33
Therefore the number of adult tickets are 33 and the number of student tickets are 21 .
1) Division Property Equality
first pass: Simplify by 8
second pass: <span>Now divide the equals
</span>
2) Addition Property of Equality
first pass: <span>Incognito on the left and numbers without incognito on the right, changing signs if they change sides.
</span>
second pass: Do the addition
<span>
3) Subtraction </span>Property of Equality
first pass: Incognito on the left and numbers without incognito on the right, changing signs if they change sides.
second pass: Do the subtraction
<span>
4) Multiplication Property of Equality
</span>
first pass: <span>Multiply the equalities by the inverse of the incognito, without the incognito
</span>
second pass: <span>Cancel the same terms and divide the ratio.
</span>
5) Distributive Property
<span>first pass: We only evaluate what is in the parentheses first and then we solve it.
</span>
second pass: we just evaluate what’s in the parentheses first, then solve it. We have a distributive property, with the distributive property, we multiply the '7' first.
Obs: <span>This question is not to find the value, only to show the distributive property.
</span>
<span>For better understanding and solve your question with equation with incognito, after the distributive property, equalize the terms to zero, then isolate the terms, putting numbers with incognito on the left and numbers without incognito on the right, changing the signal as they change sides. And then solve by finding the value of the incognito dividing the terms.
</span>
<span>
</span>
first pass: Simplify by 8
second pass: <span>Now divide the equals
</span>
2) Addition Property of Equality
first pass: <span>Incognito on the left and numbers without incognito on the right, changing signs if they change sides.
</span>
second pass: Do the addition
<span>
3) Subtraction </span>Property of Equality
first pass: Incognito on the left and numbers without incognito on the right, changing signs if they change sides.
second pass: Do the subtraction
<span>
4) Multiplication Property of Equality
</span>
first pass: <span>Multiply the equalities by the inverse of the incognito, without the incognito
</span>
second pass: <span>Cancel the same terms and divide the ratio.
</span>
5) Distributive Property
<span>first pass: We only evaluate what is in the parentheses first and then we solve it.
</span>
second pass: we just evaluate what’s in the parentheses first, then solve it. We have a distributive property, with the distributive property, we multiply the '7' first.
Obs: <span>This question is not to find the value, only to show the distributive property.
</span>
<span>For better understanding and solve your question with equation with incognito, after the distributive property, equalize the terms to zero, then isolate the terms, putting numbers with incognito on the left and numbers without incognito on the right, changing the signal as they change sides. And then solve by finding the value of the incognito dividing the terms.
</span>
<span>
</span>