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grigory [225]
3 years ago
12

Please answer this question and I will give you brainliest !! Show your work !!

Mathematics
1 answer:
Diano4ka-milaya [45]3 years ago
4 0

Answer:

Initiation fee:

$400

Monthly fee:

$10

Step-by-step explanation:

First, let's start by calculating the monthly fee.

Over a period of 5 months (5 -> 10 months), the member paid 50 dollars more.  We can divide this number by 5 to find the monthly fee. The monthly fee is $10.

Now, we can find the initiation fee. After 5 months with the gym, the member had spent $450. As we already know, $50 is the price for 5 months, so the member paid $50 in monthly fees.

We subtract $50 from the total cost ($450) to find that the initiation fee is $400.

Now, we can write the equations for each statement.

<em>Let m represent the monthly fee and i represent the initiation fee:</em>

"At the end of 5 months, a member had paid a total of $450"

5m + i = 450

"At the end of 10 months, she had paid a total of $500.

You could use 2 equations for this statement:

10m + i = 500

OR, if you use the above facts to calculate the fact that there was a $50 increase from those five months, and exclude the initiation fee and the previous five months:

5m = 50

Hope this helps!

You might be interested in
How many joules of gravitational potential energy are stored in an object that has a mass of 8.5 kilograms and is held 2 meters
adoni [48]

Answer:

I believe the answer is 166.6 Joules or (if rounding to the nearest whole number) 167 Joules.

Step-by-step explanation:

Here is the formula to find the gravitational potential energy of an object:

U = m * g * h (potential energy equals mass times gravitational acceleration * the height)

The mass is 8.5 kilograms, the height is 2 meters, and Earth's gravitational acceleration is always, no matter the other values or earthly situations, 9.8 m/s.

Now we solve:

8.5 * 9.8 * 2 = 166.6 which is rounded to 167 Joules.

8 0
3 years ago
Write the expression in simplest form:<br><br> 5n - 6 + n - 1
nata0808 [166]
To write this equation in simplest form, we simply need to combine all like terms. The like terms in this particular expression are the terms with an n-variable and the terms with no variable. So we can combine them to simplify our expression.

5n - 6 + n - 1

First step, we can reorder our terms so that like terms are near each other

5n + n - 6 - 1

Now we can combine easily

(5n + n) - (6 - 1)

6n - 5

And that is your simplified expression.

5n - 6 + n - 1 in simplest form is 6n - 5.
Hope that helped! =)
4 0
4 years ago
I rlly need help with this :(
kobusy [5.1K]

Using the normal distribution, it is found that:

a) The pilot is at the 72th percentile.

b) 19.13% of pilots are unable to fly.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean \mu and standard deviation \sigma is given by:

Z = \frac{X - \mu}{\sigma}

  • The z-score measures how many standard deviations the measure is above or below the mean.
  • Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

The mean and the standard deviation are given, respectively, by:

\mu = 72.6, \sigma = 2.7.

Item a:

The percentile is the <u>p-value of Z when X = 74.2</u>, hence:

Z = \frac{X - \mu}{\sigma}

Z = \frac{74.2 - 72.6}{2.7}

Z = 0.59

Z = 0.59 has a p-value of 0.7224.

72th percentile.

Item b:

The proportion that is able to fly is the <u>p-value of Z when X = 78 subtracted by the p-value of Z when X = 70</u>, hence:

X = 78:

Z = \frac{X - \mu}{\sigma}

Z = \frac{78 - 72.6}{2.7}

Z = 2

Z = 2 has a p-value of 0.9772.

X = 70:

Z = \frac{X - \mu}{\sigma}

Z = \frac{70 - 72.6}{2.7}

Z = -0.96

Z = -0.96 has a p-value of 0.1685.

0.9772 - 0.1685 = 0.8087 = 80.87%.

Hence the percentage that is unable to fly is:

100 - 80.87 = 19.13%.

More can be learned about the normal distribution at brainly.com/question/4079902

#SPJ1

3 0
2 years ago
A system of equations is given below.
lyudmila [28]

Answer:

B

Step-by-step explanation:

7 0
3 years ago
Expressions, equations, &amp; inequalities
dem82 [27]

Answer:

The number of sandwiches sold is 73. This is because it is multiplied by the expression for the money received per sandwich.

The cost to make each sandwich is <em>S. </em>This is stated in the first sentence of the problem.

<em />

The profit is 0.2<em>S. </em>This is because they sell each sandwich for an additional 20% of the cost ( S )

<em />

The amount of money the band receives is (<em>S </em>+ 0.2<em>S </em>). This is because it is the price per sandwich.

<em />

3 0
2 years ago
Read 2 more answers
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