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Lunna [17]
3 years ago
7

I dont know how to set it up. #20 solving equations with variables on both sides.

Mathematics
1 answer:
Gnoma [55]3 years ago
3 0
First lets create an equation for each:

1) Cost = 5x + 60
2) Cost = 11x

Where x is the number of lessons.

Since we want to find the value of x (the number of lessons), we can set both equations equal to each other:

5x + 60 = 11x

Subtract 5x from both sides:

60 = 6x

Divide by 6:

x = 10
So it will take 10 lessons till a member and a nonmember pay the same amount.
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HELP DUE IN 10 MINS!
lapo4ka [179]
D. I believe bc part of the equation is (y-y one) and y one is -3 and two negatives make a positive. And 11 squared it 121
7 0
3 years ago
Read 2 more answers
For a production of sweeney todd in las vegas, orchestra seats cost $42 and mezzanine seats cost $25. if a group of 14 people sh
Lesechka [4]

Answer: 8 orchestra seats and 6 mezzanine seats.

Step-by-step explanation:

Let be "o" the number of orchestra seats they bought and "m" the number of mezzanine seats they bought.

Set up a system of equations:

\left \{ {{42o+25m=486} \atop {o+m=14}} \right.

You can apply the Substittution Method to solve the system of equations:

1. Solve for "o" from the second equation:

o=14-m

2. Substitute it into the first equation and solve for "m":

42(14-m)+25m=486\\\\588-42m+25m=486\\\\-17m=-102\\\\m=\frac{-102}{-17}\\\\m=6

3. Substitute the value of "m" into o=14-m and evaluate, in order to find the value of "o". This is:

o=14-6\\\\o=8

4 0
4 years ago
Please help with this!!! 25 points and i'll mark you brainliest!!! Show how you got answer!!!
HACTEHA [7]

Answer:

17.9°

Step-by-step explanation:

From trigonometry:

Opposite = 14

Adjacent = x

theta = 38°

hence;

tan theta = opposite/ adjacent

tan38° = 14/x

x = 14/tan38°

x = 17.9°

6 0
3 years ago
Solve the following inequality.<br> 2x+1&lt;9
PolarNik [594]

Answer:

x<4

Step-by-step explanation:

Let's solve your inequality step-by-step.

2x+1<9

Step 1: Subtract 1 from both sides.

2x+1−1<9−1

2x<8

Step 2: Divide both sides by 2.

2x

2

<

8

2

x<4

Hopefully that helped

6 0
3 years ago
Read 2 more answers
In a sample of 400 voters, 360 indicated they favor the incumbent governor. The 95% confidence interval of voters not favoring t
Andru [333]

Answer:

0.071 to 0.129

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence interval 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

For this problem, we have that:

In a sample of 400 voters, 360 indicated they favor the incumbent governor. This means that 400-360 = 40 do not favor the incumbent governor. So n = 400, \pi = \frac{40}{400} = 0.1

95% confidence interval

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.10 - 1.96\sqrt{\frac{0.10*0.90}{400}} = 0.071

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.10 + 1.96\sqrt{\frac{0.10*0.90}{400}}= 0.129

The correct answer is:

0.071 to 0.129

7 0
3 years ago
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