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pishuonlain [190]
3 years ago
8

60 + 8x + 8x + ( 12x - 1) + (2x + 1) = 540 Find the value of x.

Mathematics
1 answer:
frosja888 [35]3 years ago
8 0

Answer:

x=16

Step-by-step explanation:

I hope this helps you

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Jane is training for a triathlon. After swimming a few laps, she leaves the health club and bikes 16 miles south. She then runs
lianna [129]

Answer:

The equation for the distance Jane's trainer bikes is x=\sqrt{16^2+12^2}.

Step-by-step explanation:

We have attached diagram for your reference.

Given:

Distance traveled on bike towards south = 16 miles

Distance she ran towards west = 12 miles

We need to find distance Jane's trainer bikes.

Solution:

Let the distance Jane's trainer bike be 'x'.

Now we will assume it to be right angled triangle.

So by Pythagoras theorem which states that;

"Square of the third side is equal to the sum of square of the other two sides."

framing in equation form we get;

x^2=16^2+12^2\\\\x=\sqrt{16^2+12^2}

Hence the equation for the distance Jane's trainer bikes is x=\sqrt{16^2+12^2}.

On solving we get;

x=\sqrt{16^2+12^2}\\\\x= \sqrt{256+144}\\ \\x=\sqrt{400} \\\\x=20\ miles

Hence Jane's trainer bikes a distance of 20 miles.

7 0
3 years ago
What is .4667 as a fraction
Alexxx [7]

Answer:

4667 /10000    

If you round it up it should be 1/2

3 0
3 years ago
In a typical children's soccer game, there is one goal scored approximately every 18 minutes. The number of goals scored follows
Alja [10]

Answer:

2.24

Step-by-step explanation:

The probability formula using a Poisson distribution is:

P(k\ events) = \frac{\lambda^{k}e^{-\lambda}}{k!} \\\lambda\ is\ the\ average\ number\ of\ events\ per\ interval \\e\ is\ euler's\ number \\k\ is\ the\ number\ of\ events\ you\ want\ to\ calculate

λ = 90 / 18 = 5 average goals per interval (interval = a game)

So if for example you were interested in the probability of making 2 goals in a game

k = 2

P(k = 2) = \frac{5^{2}e^{-5}}{2!} = 0.084

This was just an example,

The standard deviation is \sqrt{\lambda}

\sigma = \sqrt{\lambda} \\\sigma = \sqrt{5} \\\sigma = 2.24

8 0
3 years ago
The function p(x) = - 2(x-9)2 + 100 is used to determines the profit on T-shirts sold for x dollars. What would the profit from
dolphi86 [110]

ANSWER

$28

EXPLANATION

The profit function is given as:

p(x) =  - 2 {(x - 9)}^{2}  + 100

where x is the price of the T-shirt in dollars.

To find the profit on a T-shirt whose price is $15, we substitute x=15 into the function and simplify.

p(15) =  - 2 {(15 - 9)}^{2}  + 100

We simplify to get:

p(15) =  - 2 {(6)}^{2}  + 100

p(15) =  -72+ 100

p(15) =  28

6 0
3 years ago
Help! Click to see question!
EleoNora [17]

Answer:

B.

Step-by-step explanation:

Both equations use x squared

7 0
3 years ago
Read 2 more answers
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