Multiply both sides of the second equation by 100 to get rid of the decimals:
0.05<em>n</em> + 0.10<em>d</em> = 1.50
==> 5<em>n</em> + 10<em>d</em> = 150
Multiply both sides of the first equation by -5:
<em>n</em> + <em>d</em> = 21
==> -5<em>n</em> - 5<em>d</em> = -105
Add the two equations together:
(5<em>n</em> + 10<em>d</em>) + (-5<em>n</em> - 5<em>d</em>) = 150 + (-105)
Notice that the terms containing <em>n</em> get eliminated and we can solve for <em>d</em> :
(5<em>n</em> - 5<em>n</em>) + (10<em>d</em> - 5<em>d</em>) = 150 - 105
5<em>d</em> = 45
<em>d</em> = 45/5 = 9
Plug this into either original equation to solve for <em>n</em>. Doing this with the first equation is easiest:
<em>n</em> + 9 = 21
<em>n</em> = 21 - 9 = 12
So Donna used 12 nickels and 9 dimes.
Answer:
(C) 220
Step-by-step explanation:
Let x represent the number of adult tickets sold and y represent the number of student tickets sold. With the information given, we can set up two equations:
(Since for every adult ticket sold, $5 is made and for every student ticket sold, $3 is made)
In the first equation, we can represent x in terms of y:
And then, we can substitute x in the second equation for 360 - y to get:
which simplifies to:
and therefore, .
Hope this helps :)
The answer is 15%
Explanation:
Team A has 42 members and team b has 18 more than team A so team b has 60 members. In order for the teams to be equal, there’d need to be 51 people on each team(60+42/2=51). There are 9 extra people on team b, so we need 9/60 , divide and you get 15%.
Here are some formulas...
percent increase = (new number - original number) / original number...* 100
percent decrease = (original number - new number) / original number...* 100
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a student raises her grade from a 75 to a 90....since it is going from a smaller number to a larger number, u have an increase
percent increase = (90 - 75) / 70....* 100
= 15/70 * 100
= 0.2142 * 100
= 21.42 rounds to 21.4% increase
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36.50 on sale for 32.12...since it goes from a larger number to a smaller number, u have a decrease
percent decrease = (original number - new number) / original * 100
= (36.50 - 32.12) / 32.12...* 100
= 4.38 / 32.12...* 100
= 0.1363...* 100
= 13.63 rounds to 13.6% decrease
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23.5 to 21.2......this is a decrease
percent decrease = (original number - new number) / original...* 100
= (23.5 - 21.2) / 23.5....* 100
= 2.3 / 23.5....* 100
= 0.0979 * 100
= 9.79 rounds to 9.8% decrease
Answer:
Step-by-step explanation:
f(x) = 3(x + 4)(x – i)(x + i)(x – 2)