a computer shop charges 20 pesos per hour (or a fraction of an hour) for the first two hours and additional 10 pesos per hour for each succeeding hour. find how much you would pay if you used one of their computers for 40 minutes. show solutions.​

Answers

Answer 1

Answer:

The equation for the price, as a function of time in hours is:

P(x) = 20*x    for 0 ≤ x ≤ 2

P(x) = 40 + 10*(x - 2)  for  2 ≤ x

Now, we want to evaluate this function in 40 mins.

we know that 1 hour = 60mins.

Then 40 mins = (40/60) hours = 0.67 hours.

Then we input this in our function, and because this is smaller than 2, we use the first piece of our function:

P(0.67) = 20*0.67 = 13.4

So in 40 mins, the charge will be 13.4 pesos.


Related Questions

8x+x(−2x+6)−7(−2x2+5x−6)
help me this

Answers

Answer: 12x2 -21x +42

Step-by-step explanation:

June has a savings account with an annual simple interest rate of 2.6%. She hopes to gain $6,500 in interest over a period of eleven years. To accomplish this, June invested $17,801 in the account, but later realized that this was not enough money. To the nearest dollar, how much more money should June have initially invested to reach her goal?

Answers

Answer:

Step-by-step  think she needs 2.73861528462

The amount of money invested in an account with simple interest at an annual rate of 2.6% would be $22,727.27.

What is simple interest?

Simple interest is a method of calculating the interest charge. Simple interest can be calculated as the product of principal amount, rate and time peroid.

Simple Interest = (Principal × Rate × Time) / 100

Given that June has a savings account with an annual simple interest rate of 2.6%. She hopes to gain $6,500 in interest over a period of eleven years.

Rate = 2.6 %

Therefore, Simple Interest = (Principal × Rate × Time) / 100

Simple Interest = P× 2.6% × 3

6,500  = P× 2.6/100 × 3

P = 22,727.27

Hence, the amount of money invested in an account with simple interest at an annual rate of 2.6% would be $22,727.27.

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which number is a perfect cube 25 36 100 64

Answers

Answer:

The answer is 64

Step-by-step explanation:

A perfect cube is a number that is the cube of an integer. Some examples of perfect cubes are 1, 8, 27, 64, 125, 216, 343, ..

Kayla drives 144 miles in 3 hours. Kendra drives 224 miles in 4 hours. How much faster does Kendra drive on average?


Answers

Answer:

5mph faster

Step-by-step explanation:

Kayla is going 48 mph because 144/3 is 48

Kendra is going 53mph because 224/4 is 53

53-48=5

8 miles/hour Kendra drives faster than Kayla.

Given that, Kayla drives 144 miles in 3 hours. Kendra drives 224 miles in 4 hours.

We need to find out how much faster Kendra drive on average.

How to calculate the speed?

The formula for speed is speed = distance ÷ time. To work out what the units are for speed, you need to know the units for distance and time.

Now, the speed of Kayla=144/3 = 48 miles/hour

The speed of Kendra=224/4 = 56 miles/hour

So, the difference in speed between Kendra and Kayla=56-48=8 miles/hour.

Therefore, 8 miles/hour Kendra drives faster than Kayla.

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pls help easy middle school math

Answers

Answer:

Step-by-step explanation:

Question 2 is 3

Question 3 is 10^16

Question 4 is 1/3^5

Question 5 is r^m-n

Answer:

2. 2) x = 3

3. 3) 10^16

4. 2) 1/3^5

5. 1) R = m-n

Step-by-step explanation:

2 and 3 rules.  (A^n)^m = A mxn

4 rules. m + n then flip the fraction till it looks like 1/3^d

5 rules. r^m divided by r^n = R m-n

help me it's my homework​

Answers

Answer:

2. Answer is 4 and for 3. P= 1/4s

Step-by-step explanation:

Simply divide the values of one another.

This results you with:

8/2 = 4

12/3 = 4

10/5 = 2 -> I think there was an error or typo here

40/10 = 4

The constant proportion would be 4 because it is constant in every situation for S and P.

The equation would be p= 1/4s because 1 value of p would equal 4 s.

Rewrite the expression using the distributive property: 3(2r + 2)

Answers

Answer:

3(2r+2) = 6r + 6

Step-by-step explanation:

Three times to is six just add the ''r'' to the six and you have six ''r'' then youdo three times two which is six

−2(x+1/4)+1=5 PLEASE HELP

Answers

Answer:

x = -2 1/4

Step-by-step explanation:

-2(x + 1/4) + 1 = 5

-2x - 1/2 + 1 = 5

-2x + 1/2 = 5

-2x = 5 - 1/2

-2x = 4 1/2

-x = 2 1/4

x = -2 1/4

Hope this helps!

Let me know if I'm wrong :)

Laura has 30 cupcakes she wants to give each friend 1/6 of her cupcakes how many cupcakes will Each friend get

Answers

Answer:

5 cupcakes

Step-by-step explanation:

=1x 30/ 6

=5

I hope it helps

Thank U

Answer:

No Of cup cakes laura has : 30

No of c Cupcakes She wants to give her friends:1/6

Cupcakes each friend got : 30 × 1/6

: 5

There fore Number of cupcakes each friend gets: 5 Cupcakes

What is the line's slope?

Answers

Answer:

[tex]m=\frac{-1}{3}[/tex]

Step-by-step explanation:

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Simply plug in the 2 coordinates into the slope formula to find slope m:

Points (0, -1) and (-3, 0)

[tex]m=\frac{0-(-1)}{-3-0}[/tex]

[tex]m=\frac{0+1}{-3}[/tex]

[tex]m=\frac{1}{-3}[/tex]

[tex]m=\frac{-1}{3}[/tex]

12) 12 ft. = ? yd. (1yd. = 3 ft)

13) 2 gal. = ? qt. (4qt.= 1 gal.)

14) 2 gal. = ? oz. (1qt. = 32 oz.)

Help!!

Answers

12. 4 yds.
13. 8 qts.
14. 118 oz

Water is steadily dripping from a faucet into a bowl. You want to write an equation that represents the number of milliliters y of water in the bowl after . What is the constant of proportionality for the relationship between the number of milliliters y of water in the bowl and the time in seconds​ x? What is the​ equation? Water from Dripping Faucet Time in Seconds​ (x) Milliliters in Bowl​ (y) 20 320 35 560 45 720 60 960

Answers

9514 1404 393

Answer:

k = 16y = 16x

Step-by-step explanation:

y is proportional to x when it satisfies the equation ...

  y = kx

where k is the constant of proportionality. The equation can be solved for k by dividing by x:

  k = y/x

The value of k for the given relation is ...

  k = (320 mL)/(20 s)

  k = 16 mL/s . . . the constant of proportionality

Then the equation is ...

  y = 16x

1 1/4 divided by 2

a ) 2/3
b ) 5/8
c ) 1 1/3
d ) 2 1/12

Answers

Answer:

B) 5/8

Step-by-step explanation:

1.25/2

0.625

5/8

the answer is b) 5/8

solve the inequality -4x + 5 > 21​

Answers

Answer:

x < -4

Step-by-step explanation:

Step 1: Write inequality

-4x + 5 > 21

Step 2: Solve for x

Subtract 5 on both sides: -4x > 16Divide both sides by -4: x < -4

Answer:

x < -4

Step-by-step explanation:

[tex]-4x+5>21\\\\-4x+5-5>21-5\\\\-4x>16\\\\\frac{-4x>16}{-4}\\\\ \boxed{x<-4}[/tex]

Hope this helps.

1 Select the correct answer. Which rate is equivalent to ? A. B. C. D.

Answers

Answer:

its d

Step-by-step explanation:

Are the lines parallel? y = x + 4 and y = x-2

A. yes, they have the same slope and a different y-intercept
B. no, they are not parallel​

Answers

Answer:

A

Step-by-step explanation:

Remember that parallel lines have the same slope.

The y-intercept does not matter.

We have the two equations:

[tex]y=x+4[/tex]

And:

[tex]y=x-2[/tex]

The slope is the coefficient in front of the x.

In the first equation, we can rewrite it as:

[tex]y=(1)x+4[/tex]

Therefore, the slope of the first equation is 1.

Similarly, for the second equation, we can rewrite it as:

[tex]y=(1)x-2[/tex]

The slope of the second equation is also 1.

Therefore, since their slopes are equivalent, they are parallel.

Thus, our correct answer is A.

A hot air balloon ascended at the rate of
400 feet per hour for 3 hours and 15
minutes. What was the total distance that
the balloon ascended?

Answers

The answer is 1300 if you want me to show my work I will

Answer: the answer is 1300 hope this helps you

Step-by-step explanation:

An airplane is flying at an altitude of 2.7 miles and is 8.3 miles from the runway. Find the angle of depression that the airplane must make to land safely.​

Answers

Answer:

-8.72811548...   i think

Step-by-step explanation:

a² + b² = c²

8.3² + 2.7² = c²

68.89 + 7.29 = c²

76.18 = c²

√76.18, -√76.18 = c

c = 8.72811548…, −8.72811548…

I think because it's depression, it's -8.72811548...

The residents of a city voted on whether to raise property taxes. The ratio of yes to no votes was 3 to 5. If there were 4465 no votes, what was the total number of votes?

Answers

Answer:

2679 number of yes votes, 4465 number of yes votes. The total number of votes would be 7144. Hope this helps and if possible mark me as brainliest please. THANK YOU

Given the function g(x)= -3x+2, find the following:
f(1)=
f(-1)=
Write your answers as ordered pairs.
Hurry please help!

Answers

Answer:

(-1,5)

Step-by-step explanation:

pleassseee help will give good rating and brain :)

Answers

Answer:

Step-by-step explanation:

1. (x-3)(x+8)

x^2+5-24

2. (-3x+2)(4x+5)

-12x^2-7x+10

3. (x+4)(x-4)

x^2-16

4. (x+5)^2

x^2+10x+25

5. (2x-7)^2

4x^2-28x+49

6. (x-7)(x+7)

x^2-49

7. (5x-1)(2x+4x-3)

30x^2-13x+3

8. (3x^3+7x^2+7x+10

39
Which statement is true of the numbers
and -0.328?
6 Which equ
rational nu
А
0.33.
A Only 39 is rational.
B
0.33
B
Only -0.328 is rational.
C 0.35
Both numbers are rational.
D 0.3
Both numbers are not rational.

Answers

It is in fact number 7

−2+(−7)? help me what is the answer please help.

Answers

Answer:

-9

Step-by-step explanation:

-2 + (-7) = -2 - 7-2 - 7 = -9

I hope this helps!

Answer:

-9

Step-by-step explanation:

Please make me Brainliest

i bought 1/3 yard of white chiffon 2 1/4 yards of white linen and 5/8 yard tulle to make my daughters halloween costume. how much yarn did i buy?

Answers

Answer:

3 5/24 yards of yarn.

The required yard of yarn purchased is given as 3 5/24 yards.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

Here,
Bought 1/3 yard of white chiffon 2 1/4 yards of white linen and 5/8 yard tulle.

Total yarn = 1 / 3 + 2 1/4 + 5/8
               = 1/3 + 2 + 1/4 + 5/8
               = 2 + 1/3 + 1/4 + 5/8
               = 2 +   [8 + 6 + 15] /24

               = 2 + 29/24
               = 2 + 1 + 5/24
               = 3 5/24 yards of yarn

Thus, the required yard of yarn purchased is given as 3 5/24 yards.

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Which logarithmic equation is equivalent
to 25 = 32?
answer log232 = 5

Answers

5
5
5
5
5
5
5
Is 5 the answer?

Answer:

5

Step-by-step explanation:

EDG 2021

Jayvon has 33.6 points in a competition. He loses 5.5 points,
Write and then evaluate an addition expression to determine Jayvon's current points.

Answers

Answer:

33.6+(-5.5)=28.1

Step-by-step explanation:

Since positive times negative is equal to negative, we can multiply -5.5 by an addition symbol, making it an addition problem, and making it the same expression.

To evaluate the expression, we can do 33.6-5.5.

When adding or subtraction decimals, write it stacked like a normal problem, and line up the decimal places, like so.

33.6-

 5.5

Then you can subtract normally, getting 28.1

Damien deposited $250 in an account that earned 3.75% interest compounded annually.He did not make additional withdraws or deposits .what will the balance in his account be at the end of 4 years?

Answers

Step-by-step explanation:

[tex] \frac{3.75}{100} \times 250 =9.375[/tex]

[tex]9.375 \times 4 = 37.50[/tex]

[tex]250 + 37.50 = 287.50[/tex]

I think this is the answer

help show work
assig 8
(a)solve the inequality
(b)graph the solution on the real number line.
(c)write the solution in interval notation.
29
30
31
32
33

Answers

Answer:  see below

Step-by-step explanation:

29) -5x ≥  30

    ÷ -5 ↓ ÷ -5

        x  ≤ -6

Graph:       ←--------- ·

                            -6

Interval Notation: (-∞, 6]

30) -4x <  -40

    ÷ -4 ↓ ÷ -4

        x  >   10

Graph:       o---------→

                10

Interval Notation: (10, ∞)

31) 2x - 5 ≥  -11

         +5    +5

     2x      ≥  -6

    ÷ 2       ÷ 2

        x   ≥   -3

Graph:       · ---------→

                -3

Interval Notation: [-3, ∞)

32) 8 - 3x > 20

    -8         -8

        -3x >  12

     ÷ -3  ↓ ÷ -3

          x  <  -4

Graph:       ←---------o

                            -4

Interval Notation: (-∞, -4)

33) 4x - 11 < 7x + 4

    -7x       -7x      

   -3x  - 11  <   4

          + 11   +11    

   -3x       <    15

 ÷ -3      ↓ ÷ -3

         x  >    -5

Graph:       o---------→

                  -5

Interval Notation: (-5, ∞)

can someone please help me with this question​

Answers

Answer:

The area of the circle is 18.84.

Step-by-step explanation:

You multiply pi (3.14) by the radius of the circle, which is 6, to get the area of any circle.

Graph the solutions to I-2 on a number line.

Answers

Where would i be able to graph this
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