74E10. La siguiente gráfica relaciona el precio a pagar en pesos por el número de horas en un estacionamiento público.
¿Cuál es el pago, en pesos, que se debe efectuar por haber dejado el carro en el estacionamiento 3 horas 15 minutos?
A)20 B)40 C)46 D)50

Step-by-step explanation:

We know that angles on a straight line add up to 180, so:

5x+5+5x+5=180

Simplify

10x+10=180

Solve

Take away 10 from both sides

10x=170

Divide 170 by 10

x = 17

Answer:

x= - 3/5y +4/5

Step-by-step explanation:

isolate x:

5x+ 3y= 4

5x= -3y+ 4

x= -3/5y +4/5

Answer:2 x 3

Step-by-step explanation:

Answer: [tex]\frac{7}{10}[/tex]

Step-by-step explanation:

2[tex]\frac{1}{10}[/tex] barrels of almonds to make 3 batches of granola bar.

We need to turn fraction 2[tex]\frac{1}{10}[/tex] into a mixed number

2[tex]\frac{1}{10}[/tex] → [tex]\frac{21}{10}[/tex]

Now we set up an equation.

[tex]\frac{\frac{21}{10} }{3} =\frac{x}{1}[/tex]

Solve for x by cross multiplying and dividing.

[tex]\frac{21}{10}[/tex] ÷ 3 (KCF)

[tex]\frac{21}{10}[/tex] × [tex]\frac{1}{3}[/tex] = [tex]\frac{21}{30}[/tex]

Now we simplify the fraction.

[tex]\frac{21}{30}[/tex] → [tex]\frac{7}{10}[/tex]

[tex]\frac{7}{10}[/tex] barrels of almonds were used in each batch.

Answer:

2x > x + 8

x > 8

Step-by-step explanation:

(Twice a number)   (is more than)   (the sum of that number and 8)

        2x                          >                                   x + 8

2x > x + 8

Subtract x from both sides

x > 8

Answer:

I = $650

A = $23,580

Step-by-step explanation:

First question

I = ?, P = $1000, R= 5%, T = 13

[tex]I = \frac{P*R*T}{100}=\frac{1000*5*13}{100}= 650[/tex]

Therefore, interest = $650

Second...

P = $15, 000, R = 5.2%, T = 11, I = ? A= ?

[tex]I = \frac{P*R*T}{100}=\frac{15000*5.2*11}{100}= 8580[/tex]

To find A, we add the principal with the interest

A = P + I = $15,000 + $8580 = $23,580

Answer:

21.2 mm²

Step-by-step explanation:

Area of rectangle = base x height.

A(r) = b x h

Plug in the corresponding numbers to the corresponding variables:

A(r) = 5.3 x 4

A(r) = 21.2

21.2 mm² is your answer.

The probability that someone who does not study calculus studies physics is 0.5

Since there are 1000 students in the school and 600 study physics, 300 study Calculus, and 100 study both, we need to find the number of students that study only physics to find the probability that someone who does not study calculus studies physics.

Let x = number of students who study both = 100, y = number of students who studies only physics and z = number of students who studies only calculus.

Given that the number of students who study physics are 600, we have

x + y = 600  (1)

Also, given that the number of students who study calculus are 300, we have

x + z = 300  (2)

From (1)

y = 600 - x

y = 600 - 100

y = 500

So, the probability of students that study only physics = probability that someone who does not study calculus studies physics  is

P(physics) = number of students studying only physics/total number of students

= 500/1000

= 5/10

= 0.5

So, probability that someone who does not study calculus studies physics is 0.5

Learn more about probability here:

https://brainly.com/question/19916581

Answer:

12.56 m²

Step-by-step explanation:

Circle with diameter 4 has a radius of 2

Area of Circle = πr²

Area of Circle = 3.14(2²)

Area of Circle = 12.56

El círculo de diámetro 4 tiene un radio de 2

Área del círculo = πr²

Área del círculo = 3,14 (2²)

Área del círculo = 12.56

-Chetan K

The rate is a fraction that compares the values of two quantities. The expected answers to the questions are given below:

1. Given that 3 cakes takes 6 hours to bake, then:

1 cake = [tex]\frac{6}{3}[/tex]

           = 2 hours

So that;

the number of cake to be baked in 12 hours = [tex]\frac{12 hours}{2 hours}[/tex]

                                    = 6

The number of cake to be baked in 12 hours is 6.

2. Ava's rate of pay = [tex]\frac{15}{2}[/tex]

                                 = $7.5 pr hour

Thus Ava's rate of pay is $7.5 per hour.

3. It took 5 hours to mow 6 yards. Thus;

To mow 1 yard = [tex]\frac{5}{6}[/tex] hours

The number of yards to be mowed in 20 hours = 20 ÷ [tex]\frac{5}{6}[/tex]

                                                = 20 x [tex]\frac{6}{5}[/tex]

                                                = 24

The number of yards to be mowed in 20 hours is 24.

4. Given that 10 bags of rice cost $12, then;

1 bag = [tex]\frac{12}{10}[/tex]

         = 1.2

1 bag = $1.2

The cost of a bag of rice is $1.2.

5. Rate = 30 miles per gallon

The number of gallons required = [tex]\frac{360}{30}[/tex]

                                        = 12

Thus 12 gallons would be required by the car to travel 360 miles.

6. Rate = [tex]\frac{75}{3}[/tex]

            = 25

Rate = 25 words per minute

The typing speed is 25 words per minute.

For more on rate, check: https://brainly.com/question/119866

Answer:

Step-by-step explanation:

Assuming it has no spin

KE = ½mv²

KE = ½(12)10²

KE = 600 J

Explanation:

The given equation is the same as y = 0x - 7. It matches the form y = mx+b which is slope intercept form of a linear equation.

The slope m = 0 always applies to horizontal lines. All points on this line have a y coordinate of -7.

The margin of error for this survey if we want a 99% confidence in our estimate of the percent is 0.067

The formula for calculating the margin of error is expressed as:

[tex]e= z \cdot \sqrt{\frac{p(1-p)}{n} }[/tex]

p is the proportion

n is the sample size

Given the following parameters;

p = 75% = 0.75

n = 280

z = 2.576

Substitute into the formula

[tex]e=\sqrt{\frac{0.75(1-0.75)}{280} }\\e=\sqrt{\frac{0.1875}{280} } \\e=\sqrt{0.0006964} \\e=0.0258 \times 2.576\\e \approx 0.067[/tex]

Hence the margin of error for this survey if we want a 99% confidence in our estimate of the percent is 0.067

Learn more on margin of error here: https://brainly.com/question/10218601

Answer:

5 1/15 lb

Step-by-step explanation:

Equation:

5.35 = 1.55 + 0.75x       [tex]\longmapsto\\[/tex]       Subtract 1.55 from both sides

3.8 = 0.75x            [tex]\longmapsto[/tex]         Divide both sides by 0.75

5 1/15 lb

-Chetan K

Using the percentile relation, the 80th percentile of the data is 77.

The 80th percentile of a data can be defined as :

Hence, we have ;

80th percentile = 0.8 × (50 + 1)th term

80th percentile = 40.8 term = 41th term

Since, the days is sorted, the 80th percentile is the value at index 41.

Hence, the 80th percentile of the data is 77.

Learn more : https://brainly.com/question/25670812

Answer:

60 adult tickets were bought.

Step-by-step explanation:

9514 1404 393

Answer:

  80 tickets

Step-by-step explanation:

Let 'a' represent the number of adult tickets sold. Then a-30 is the number of student tickets sold. The total revenue is ...

  8a +4(a -30) = 840

  12a -120 = 840 . . . . . . eliminate parentheses

  a -10 = 70 . . . . . . . . . divide by 12

  a = 80 . . . . . . . . . . . add 10

The drama class sold 80 adult tickets.

__

Check

The number of student tickets was 30 less, so 50 student tickets. The total revenue was ...

  50($4) +80($8) = $200 +640 = $840 . . . . as required

[tex]~~~~~~\textit{vertical parabola vertex form} \\\\ y=a(x- h)^2+ k\qquad \begin{cases} \stackrel{vertex}{(h,k)}\\\\ \stackrel{"a"~is~negative}{o pens~\cap}\qquad \stackrel{"a"~is~positive}{o pens~\cup} \end{cases} \\\\[-0.35em] \rule{34em}{0.25pt}[/tex]

[tex]\begin{cases} h= 0\\ k = 4 \end{cases}\implies y=a(x-0)^2+4~\hfill \textit{we also know that} \begin{cases} x = 1\\ y = 3 \end{cases} \\\\\\ 3=a(1-0)^2+4\implies 3=1a+4\implies \boxed{-1=a} \\\\\\ y=-1(x-0)^2+4\implies \blacktriangleright y = -x^2+4\blacktriangleleft[/tex]

Answer:

A.    y = –(x – 1)2 + 3    = Rewrite in vertex form and use this form to find the vertex  (h,k).    (1,3)=  Already in vertex form.  y=−(x−1)2+3

OR

D.    y = –x^2 + 4    = Rewrite in vertex form and use this form to find the vertex  (h,k).    (0,4)=  Find the vertex form.     y=−(x+0)2+4

Step-by-step explanation:

A.    y = –(x – 1)2 + 3    = Rewrite in vertex form and use this form to find the vertex  (h,k).    (1,3)=  Already in vertex form.  y=−(x−1)2+3

B.    y = –x^2 – 4    = Rewrite in vertex form and use this form to find the vertex  (h,k).    (0,−4)=   Find the vertex form.     y=−(x+0)2−4

C.    y = –x^2 + 3     = Rewrite in vertex form and use this form to find the vertex  (h,k).    (0,3)=  Find the vertex form.     y=−(x+0)2+3

D.    y = –x^2 + 4    = Rewrite in vertex form and use this form to find the vertex  (h,k).    (0,4)=  Find the vertex form.     y=−(x+0)2+4

Answer:

Pythagoras Theorem

Step-by-step explanation:

Answer:

so if I do b1+a1=c1 ok me done

Answer:

width of rectangle = 2R = (200/π) = 400/π meters

length of rectangle = 400 - π(200/π) = 400 - 200 = 200 meters

Step-by-step explanation:

The distance around the track (400 m) has two parts:  one is the circumference of the circle and the other is twice the length of the rectangle.

Let L represent the length of the rectangle, and R the radius of one of the circular ends.  Then the length of the track (the distance around it) is:

Total = circumference of the circle + twice the length of the rectangle, or

         =                    2πR                    + 2L    = 400 (meters)  

This equation is a 'constraint.'  It simplifies to πR + L = 400.  This equation can be solved for R if we wish to find L first, or for L if we wish to find R first.  Solving for L, we get L = 400 - πR.

We wish to maximize the area of the rectangular region.  That area is represented by A = L·W, which is equivalent here to A = L·2R = 2RL.  We are to maximize this area by finding the correct R and L values.

We have already solved the constraint equation for L:  L = 400 - πR.  We can substitute this 400 - πR for L in

the area formula given above:    A = L·2R = 2RL = 2R)(400 - πR).  This product has the form of a quadratic:  A = 800R - 2πR².  Because the coefficient of R² is negative, the graph of this parabola opens down.  We need to find the vertex of this parabola to obtain the value of R that maximizes the area of the rectangle:        

                                                                   -b ± √(b² - 4ac)

Using the quadratic formula, we get R = ------------------------

                                                                            2a

                                                   -800 ± √(6400 - 4(0))           -1600

or, in this particular case, R = ------------------------------------- = ---------------

                                                        2(-2π)

            -800

or R = ----------- = 200/π

            -4π

and so L = 400 - πR (see work done above)

These are the dimensions that result in max area of the rectangle:

width of rectangle = 2R = (200/π) = 400/π meters

length of rectangle = 400 - π(200/π) = 400 - 200 = 200 meters

Answer:

315 jars

Step-by-step explanation:

This question is merely another way of writing: what is 35% of 900?

Now, when we look at it that way, it's easy to solve.

So, the way to solve is to either multiply 35% by 900, or just interpret that as 0.35 times 900. Anyway, the result is 315.

I hope this helped a bunch! Tell me if you need any further assistance...

( :

Answer:

Step-by-step explanation:

As RS is a straight line sin ∠RUT = sin ∠SUT

line UT bisects ∠RTS

Let θ be ∠UTR and ∠UTS

Law of sines

Left side triangle

3x/sinθ = 40/sinRUT

sinRUT = 40sinθ / 3x

Right side triangle

(x + 2) / sinθ = 16 / sinSUT

(x + 2) / sinθ = 16 / (40sinθ / 3x)

(x + 2)(40sinθ / 3x)  = 16sinθ

(x + 2)(40sinθ)  = 48xsinθ

40xsinθ + 80sinθ = 48xsinθ

40x + 80 = 48x

80 = 8x

x = 10

[tex](-3c^8)(2c^6d^8)\implies (-3)(2)c^8c^6d^8\implies -6c^{8+6}d^8\implies -6c^{14}d^8[/tex]

Answer:

Answer is 14

Step-by-step explanation:

By understanding the concept of math

Answer: you mom

Step-by-step explanation:

Answer:

Step-by-step explanation:

1) D

2) B

3) no solution

y ≤ 0.5x - 4 is area C including the red line

y ≥ 0.5x + 5 is area A including the blue line

Answer:

34

Step-by-step explanation:

yeah

Answer:

Answer is option 2 = 3/5

Step-by-step explanation:

a/b=3/5

Answer:

Step-by-step explanation:

The smaller number is x, the greater number is x + 4, their sum is 52:

Correct choice is B

$8 and 9n should sum at least $80:

Correct choice is A

$43 and 3n should sum at least $70:

Correct choice is A

P books cost $10.01p and $9.96 for shipping, the total should be no more than $50:

Correct choice is D

Answer:

probably about 3.5

Step-by-step explanation:

[tex]6 < 4x[/tex]

Hope this helps:)

Answer:

y = 700x - 8

Step-by-step explanation: