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GrogVix [38]
3 years ago
5

It costs $50 per hour to rent a jet ski. The total cost of a jet ski rental includes a flat fee plus an hourly fee. After 5 hour

s, the total cost is $265. Write an equation that represents the total cost y after x hours.
Mathematics
1 answer:
Dmitry [639]3 years ago
4 0

Answer:

50x + 15 = y

Step-by-step explanation:

You have to find the flat cost by multiplying the 50 by 5, and then plugging that in for your first constant, and then solve by subtracting that from 265 to get your flat rate, and then put it all together. (see attachment for details)

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Two numbers have a sum of 761 and a difference of 335.what are the 2 numbers ​
melisa1 [442]

Answer:

548 and 213

Step-by-step explanation:

Use a linear function:

Let x = 1st number

Let y = 2nd number

x+y=761

x-y=335

2x=1096

x=548

plug x into either equation

548+y=761

y=761-548

y=213

548-y=335

-y=-213

y=213

6 0
3 years ago
In the form of a paragraph, explain in complete sentences, your answers to the following questions. Include the final answer in
Yanka [14]
Lisa is an avid runner and is training for a marathon, so she runs everyday to achieve this purpose. In this way, she goes out to run for six days, so we have the following data set regarding the miles she runs:

1st day  = 3.2    miles
2nd day = 7.5    miles
3rd day  = 9.8    miles
4th day  = 11.5  miles
5th day  = 2.9    miles
6th day  = 3.5    miles

<span>Finally, she ran a total of:

3.2+7.5+9.8+11.5+2.9+3.5 = 38.4 miles

</span><span>What was the average distance of each run? 

This result can be get as the sum of each run (or the </span>total of miles she run<span>) divided by the numbers of days she ran.

</span>A=\frac{38.4}{6}=6.4mi

<span>Lisa's goal for this week is to run an average of 6 miles per day. How many miles does she need to run tomorrow (the 7th day) in order to achieve her goal of 6 miles per day for the week?

Let's name x the distance she must run tomorrow. Therefore, the equation for this purpose is given as follows:

</span>\frac{3.2+7.5+9.8+11.5+2.9+3.5+x}{7}=6

∴ \frac{38.4+x}{7}=6

Isolating x:

38.4+x=42

∴ x=42-38.4=3.6

Therefore, she need to run:

\boxed{3.6mi} in order to achieve the goal of 6 miles per day.

4 0
3 years ago
Convert 150 base 10 to a binary <br>number.
STALIN [3.7K]

Answer:

10010110

Step-by-step explanation:

A binary number is basically a number in base 2. So, each place represents a power of two. The ones place represents 1 or 2^0, the tens represents 2 or 2^1, the hundreds represents 4 or 2^2 and so on. To find the highest place needed to make in the number in binary, we find the greatest power of two that is below 150. In this case, it is 128. We can start by writing 128 in binary:

10000000

Now, we subtract 128 from 150 and find the largest power of two that is smaller than the difference. The largest power of 2 smaller than 22 is 16, so we put a one in the place for 2^4:

10010000

We can subtract 16 from 22 to get what is leftover to continue the process. We get 6, and the largest power of 2 smaller is 4. We can place a one in the hundreds place to represent it:

10010100

What is left is 6-4 or 2, which is just 2^1, so we can place it in the tens place:

10010110

8 0
3 years ago
What is the variance of 5, 13, 32, 37, 49, 51, 63
kramer

Answer:

s2  ≈  438.2383

6 0
3 years ago
Read 2 more answers
CAN SOMEONE PLEASE HELP ME ASAP
Sunny_sXe [5.5K]

Answer:

G

Step-by-step explanation:

difference between coordinates of A and C is 9 because 7-(-2) is 9, one-third of nine is 3, -2+3=1 G is 1. (sorry for poor phrasing)

8 0
3 years ago
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