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postnew [5]
3 years ago
7

Movie tickets are $8 for shows after 6 pm and $5.50 for shows before 6 pm. If 80 tickets are sold for a total of $575, which sys

tem of equations could be used to find the number of each type of ticket sold? *
1.x+y=8; 5.50x+80y=575
2.x+y=575; 5.50x+8y=80
3.x+y=80; 575x+8y=5.50
4.None of these
5.x+y=80; 5.50x+8y=575​
Mathematics
1 answer:
Dominik [7]3 years ago
5 0
The answer is 5. x+y=80; 5.50x+8y=575
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Help! with explanations if possible
k0ka [10]

Answer:

5

Step-by-step explanation:

1. according to the condition

\frac{price \ radio1}{price \ radio2} =\frac{x}{y}

2. when the both prices are increased the ratio is

\frac{x+20}{y+20}=\frac{5}{2}

3. when the both prices are reduced the ratio is

\frac{x-25}{y-25} =\frac{5}{1}

4. using the equations written in steps 2&3 it is possible to make up the system of the two equations:

\left \{ {{\frac{x+20}{y+20}=\frac{5}{2}  } \atop {\frac{x-25}{y-25}= \frac{5}{1} }} \right.

where x=160; y=52.

5. ration x:y=5.

7 0
3 years ago
How many solutions exist for the system of equations in the graph?<br> one<br> two
Darya [45]

Answer: one

Step-by-step explanation:

8 0
3 years ago
Graph the function f(x) = (x + 1)(x - 5). Use the drop-
hodyreva [135]

Answer:

3) (2,-9)

4) (0,-5)

5) (1,-8)

Step-by-step explanation:

3)

The vertex will occur between you x-intercepts.

You already found that happens at x=2.

To find the corresponding y-coordinate, replace x in

f(x)=(x+1)(x-5) with 2:

f(2)=(2+1)(2-5)

f(2)=(3)(-3)

f(2)=-9

So the vertex is (2,-9).

4)

The y-intercept is when x=0.

So in f(x)=(x+1)(x-5) replace x with 0:

f(0)=(0+1)(0-5)

f(0)=(1)(-5)

f(0)=-5

So the y-intercept is (0,-5).

5)

To find another point just plug in anything besides any x already used.

We preferably want to use a value of x that will keep us on their grid however far up,down,left, or right their grid goes out. So I'm going to choose something close to the vertex which is at x=2. Let's go with x=1.

So replace x in f(x)=(x+1)(x-5) with x=1:

f(1)=(1+1)(1-5)

f(1)=(2)(-4)

f(1)=-8

So another point to graph is (1,-8).

7 0
3 years ago
A shirt is priced at $12. What is the price after a 5% discount and 6% sales tax?
Alex787 [66]
Discount of 5
6% tax

100-5=95
100+6=106

12*0.95*1.06=12.084


the price is $12.08
3 0
3 years ago
Read 2 more answers
Bonus: Find the value of x.
Mars2501 [29]

Answer:

12 (i think)

Step-by-step explanation:

so you see the problem the first problem is 3x-9. and you see 27

then you multiply 12 by 3 and you get 36 then you minus 36 by 9 and you get 27

6 0
3 years ago
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