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Bogdan [553]
2 years ago
9

A company rents gym equipment for a fixed amount plus a fee based on the number of days for which the equipment is rented the ta

ble shows the total charges and Y in dollars of renting gym equipment for X numbers of days
Mathematics
1 answer:
alexandr402 [8]2 years ago
5 0
So to put this in terms, we are going to have the cost of the equipment is equal to, a fixed rate + (a daily rate * the amount of days the equipment is rented). Without the fixed rate and daily rate, it is difficult to create an equation, but it will look something like this: 

y=w+mx

y=how much it costs to rent the gym equipment
w=the fixed rate
m=the daily rate
x=the amount of days the equipment is rented.
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The present age of Alex is ‘y’ years. Answer the following
skelet666 [1.2K]

Answer:

(a) After 5 years what will be his age?

"5 + y" years old

(b) What was his age 6 years back?

"y - 6" years old

(c) His grandfather‘s age is 5 times his age, What is the age of grandfather?

"5y" years old

(d) His father’s age is 6 years more than 3 times his age. What is his father’s age?

"6 + 3y" years old

Note: Ignore the quotation marks, ""

5 0
2 years ago
Read 2 more answers
Mrs. Kermit has 29 markers. She gives 12 markers to Mr. Cooke and divides the rest among 5 other teachers. If each of the teache
romanna [79]

Answer: 2 markers.

Step-by-step explanation:

1. You know that she gives 12 markers to Mr. Cooke, then the rest among is:

29 markers-12 markers=17 markers

2. She divides the rest among 5 other teachers and each one of them get the same number of markers. So, you need to divide 17 markers by 5 teachers as following:

17 markers/5=3.4 markers

3. But the number of marker each one teacher has can't be a decimal number, so this number must be: 3 markers for each teacher.

3. The number of markers that will be left over is:

17 markers-(5*3 markers)=2 markers

8 0
2 years ago
Correctly complete this sequence: 88511, 16351, ?, 10251
sp2606 [1]

Complete sequence is: 88511, 16351, 73155, 10251

<em><u>Solution:</u></em>

Given sequence is:

88511, 16351, ?, 10251

We can use the basic mathematical operations (+, -, x, /) to find the missing number.

Let us analyse the logic used in this sequence

Take the first term of sequence 88511

8 + 8 = 16

8 - 5 = 3

5 x 1 = 5

1 / 1 = 1

Combining the digits we get, 16351 which is the second term in sequence

<em><u>So the pattern followed is:</u></em>

Add the first 2 digits in the number 8851

Subtract the 3rd digit from the 2nd digit

Multiplying the 3rd digit and 4th digit

Dividing the 4th digit by the 5th digit

So we can follow the pattern and find the missing term

Take the second term 16351 of sequence

1 + 6 = 7

6 - 3 = 3

3 x 5 = 15

5 / 1 = 5

Combining the digits, we get 73155 which is the next term in sequence

Thus the missing term in sequence is 73155

The complete sequence is: 88511, 16351, 73155, 10251

6 0
2 years ago
Read 2 more answers
Outline the process for inscribing a square in a circle. Perform the construction in GeoGebra, and take a screenshot of the cons
Amiraneli [1.4K]

Answer:

Mark a circle with point A in the center

Make two points across from each othe at the top and bottom of the circle. Mark them as B, C, D, and E

Connect the point B, C, D, and E using line segments

4 0
2 years ago
1. Sand falling from a chute forms a conical pile whose altitude is always equal to 4/3 the radius of the base. (a) How fast is
solong [7]

Answer:

The volume is increasing at a rate of 16286 in³/min.

Step-by-step explanation:

a) The volume of a cone is given by:

V = \frac{1}{3}h\pi r^{2}

Where:    

r: is the radius

h: is the height

The rate of change of the volume can be calculated by using the chain rule:

\frac{dV}{dt} = \frac{\pi}{3}[\frac{dh}{dt}r^{2} + h\frac{d(r^{2})}{dt}]

Since h = 4/3 r we have:

\frac{dV}{dt} = \frac{\pi}{3}[\frac{d(\frac{4r}{3})}{dt}r^{2} + \frac{4r}{3}\frac{d(r^{2})}{dt}]

\frac{dV}{dt} = \frac{4\pi}{9}[\frac{dr}{dt}r^{2} + r\frac{d(r^{2})}{dt}]        

\frac{dV}{dt} = \frac{4\pi}{9}[\frac{dr}{dt}r^{2} + 2r^{2}\frac{dr}{dt}]    (1)    

With:

\frac{dr}{dt} = 3 in/min

r = 3 ft*\frac{12 in}{1 ft} = 36 in

And by entering the above values into equation (1) we have:

\frac{dV}{dt} = \frac{4\pi}{9}[(3 in/min)*(36 in)^{2} + 2*(36 in)^{2}*3 in/min]

\frac{dV}{dt} = 16286 in^{3}/min

Therefore, the volume is increasing at a rate of 16286 in³/min.

I hope it helps you!                                    

3 0
2 years ago
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