B) David and Andrew are traveling to a Mathematics conference. David travels 110 miles in the same time that Andrew travels 140 miles. Andrew travels 15 miles per hour faster than David. Find the average rate of each person.

Answers

Answer 1

Answer:

David's average speed is 55 mph and Andrew's average speed is 70 mph

Step-by-step explanation:

Let David's speed be s.

Average speed is given as:

speed = distance / time

They both spent the same time, t.

David's speed is:

s = 110 / t

=> t = 110 / s

Andrew travels 15 mph faster than David.

Andrew's speed is:

(15 + s) = 140 / t

=> t = 140 / (15 + s)

Therefore, since they spent the same time:

110 / s = 140 / (15 + s)

Cross multiply:

110(15 + s) = 140s

1650 + 110s = 140s

1650 = 140s - 110s

30s = 1650

s = 1650 / 30

s = 55 mph

Andrew's speed is:

15 + 55 = 70 mph

Therefore, David's average speed is 55 mph and Andrew's average speed is 70 mph.


Related Questions

Frank and Linda just finished a meal and received their bill for $47.60. They would like to leave their server a 20 percent tip. Which expression could be used to find the total bill including gratuity?
0.2 (47.60)
47.60 minus left-bracket (0.2) (47.60) right-bracket
47.60 + left-bracket (0.2) (47.60) right-bracket
0.8 (47.60)

Answers

Answer:

Step-by-step explanation:

Tips = 20% of 47.60

       = (20/100) * 47.60

       = 0.20 * 47.60

Total bill = 47.60 + (0.2)*(47.60)

Answer:

the answer is 47.60 + (0.2)*(47.60)

Please help! Correct answers only please!

You roll a 6-sided die two times.

What is the probability of rolling an odd number and then rolling a 3?

Simplify your answer and write it as a fraction or whole number.

Answers

Answer:

2/3

Step-by-step explanation:

There are 3 odd numbers in a dice which equals 1/2. Then there is 1/6 of a chance of rolling a 3. So it would be 1/2 + 1/6=4/6 which simplifies to 2/3.

2/3 of a number is ten what’s the number

Answers

Answer:

15

Step-by-step explanation:

What is the value of x?

Answers

116 degrees because there is 180 degrees in a triangle so u subtract 64 from 180

7x^2 + 8x + 1 =0 find the solution

Answers

Answer:

x = -1/7 x = 1

What is 7+(-7)=? Help me plis

Answers

Hey!!

Here's your answer

7+(-7)

=7-7

=0

so the answer is 0

hope it helps...

Answer:

7+(-7) would be 0 because with one negative and one positive, they cross each other out.

Step-by-step explanation:

hope this helps. :))

I need help with these questions! I need to finish them quick. Please and thank you!

Answers

Answer:

33ft^2

Step-by-step explanation:

Which of the points shown below are on the line given by the equation y = x + 3​

Answers

Answer: B

Step-by-step explanation:

Dora bought cupcakes for her sister's birthday party. 20% of the 90 cupcakes had sprinkles on top. ​ How many cupcakes had sprinkles?

Answers

Answer:

18 sprinkles

Step-by-step explanation:

20% of 90 cupcakes

20% = 1/5

1/5 of 90

1 x 90 = 90

90 / 5 = 18

Answer:

18 cupcakes

Step-by-step explanation:

If there were 90 cupcakes and 20% of the cupcakes had sprinkles on top, the number of cupcakes with sprinkles on top would be

⇒ 20% of 90 cupcakes

⇒ [tex]\frac{20}{100} * 90 cupcakes[/tex]

⇒ (2*9) cupcakes

⇒ 18 cupcakes

Hope this helps!!!

Se desea construir una letra "ene" mayúscula de tal manera que sus segmentos paralelos midan 25 cm y el

segmento oblicuo que une ambos mida 65 cm. ¿Qué distancia en línea recta separará los segmentos paralelos?

Answers

Answer:

La distancia en línea recta que separa los segmentos paralelos es 60cm.

Step-by-step explanation:

Esta pregunta se puede resolver usando el teorema de Pitágoras:

[tex] \\ c^2 = a^2 + b^2[/tex] [1]

Es decir, en triángulos rectágulos, el cuadrado de la hipotenusa es igual a la suma de los cuadrados de los catetos de dicho triángulo. Un triángulo es rectángulo cuando el ángulo que forman sus dos catetos es recto o de 90 grados sexagesimales.

Es importante notar que la letra N tiene dos lados paralelos y el lado oblicuo (o inclinado) une ambos lados paralelos. Pues bien, la letra N puede formar dos triángulos iguales. Escojamos uno de ellos para obtener la respuesta, es decir, la distancia en línea recta que separa los segmentos paralelos (segmentos verticales de la N)

El lado oblicuo (inclinado) es la hipotenusa de ese triángulo (es decir, c). De los catetos, uno está representado por uno de los segmentos paralelos (verticales) de la N (digamos que es b), y, el otro cateto, es la distancia horizontal que une ambos segmentos verticales (digamos que es a).

Si unimos el segmento inferior del cateto b con el extremo inferior de la hipotenusa, se forma el cateto a. Este cateto a forma un ángulo recto con el cateto b y, por lo tanto, forma un triángulo recto. Los lados de un triángulo recto pueden resolverse usando el teorema de Pitágoras, descrito en [1].

Usando [1] y despejando a, tenemos:

[tex] \\ c^2 = a^2 + b^2[/tex]

Restamos [tex] \\ b^2[/tex] de ambos lados de la igualdad:

[tex] \\ c^2 - b^2 = a^2 + b^2 - b^2[/tex]

[tex] \\ c^2 - b^2 = a^2 + 0[/tex]

[tex] \\ c^2 - b^2 = a^2[/tex]

Luego

[tex] \\ a^2 = c^2 - b^2[/tex]

Extrayendo la raíz cuadrada en cada lado de la igualdad:

[tex] \\ \sqrt{a^2} = \sqrt{c^2 - b^2}[/tex]

Entonces

[tex] \\ a = \sqrt{c^2 - b^2}[/tex]

Asimismo, tenemos que [tex] \\ c = 65[/tex]cm y [tex] \\ b = 25[/tex]cm

Entonces,

[tex] \\ a = \sqrt{65^2 - 25^2}[/tex]

[tex] \\ a = \sqrt{4225 - 625}[/tex]

[tex] \\ a = \sqrt{3600}[/tex]

[tex] \\ a = 60[/tex]cm

De esta manera, el valor de a, o la distancia en línea recta que separa los segmentos paralelos, es 60cm.

Podemos comprobar el resultado anterior haciendo uso del mismo teorema de Pitágoras:

[tex] \\ 65^2 = 60^2 + 25^2[/tex]

[tex] \\ 4225 = 3600 + 625[/tex]

[tex] \\ 4225 = 4225[/tex]

En la figura anexa se aprecia gráficamente lo anteriormente explicado.

What is the value of x in the diagram below? If necessary, round your answer
to the nearest tenth of a unit.

Answers

Answer:

C. 7.2

Step-by-step explanation:

Hope it helps you in your learning process.

A container shapes like an inverted cone holds 96 cubic centimeters of water. The height of the cup is 14 centimeters. Find the length of the diameter?

Answers

Answer:

Cone Volume = (PI * radius^2 * height) / 3

96 cc = (PI * radius^2 * 14) / 3

(96 * 3) / (PI * 14) = radius^2

radius ^ 2 = 6.5480890872

radius = 2.5589234235

diameter = radius *2 = 5.117846847  cm

diameter = 5.12 cm (rounded)

Step-by-step explanation:

José can run 1 1/3 miles in 1/6 of an hour. How far can he run in one hour?

Answers

Answer:

8

Step-by-step explanation:

you multiply 1 1/3 by 6

Calvin is painting an area that is 115 square feet. He is able to paint 2.5 square feet every 2 minutes. At this rate , how long will it take calvin to paint the entire paint the entire area.

Answers

Answer:

Calvin will paint the entire area in 92 minutes or 1 hour 32 minutes.

Step-by-step explanation:

First of all we know that the total surface are that Calvin is painting is 115 square feet.

The rate at which Calvin is painting refers to the surface area he covers every 2 minutes. This is 2.5 square feet every 2 minutes.

we can set up a relation to solve this problem

If Calvin paints [tex]2.5 ft^{2}[/tex] in 2 minutes

He will paint [tex]115 ft^{2}[/tex] in [tex]x[/tex] minutes

By cross multiplying, we have [tex]x= \frac{2 \times 115}{2.5}=92 minutes[/tex]

Hence Calvin will paint the entire area in 92 minutes or 1 hour 32 minutes.

A beach ball has a radius of 10 inches. Round to the nearest tenth

Answers

V=4/3pi(r^3)
V=4/3pi(9^3)
V=3,054 inches^3

Please help!! Thank you!

Answers

Answer: 84 ft

Step-by-step explanation:

Two fifths of the performance were sold out. There were 15 performances that were not sold out. a. How many performances were there? b. What was the ratio sold out to not sold out performances?

Answers

Answer:

25

2:3

Step-by-step explanation:

2/5 were sold out

5/5 - 2/5 = 3/5

That means 3/5 were not sold out

p = performances

there were 15 that were not sold out

3/5 * p = 15

Multiply each side by 5/3

5/3 *3/5 p = 15*5/3

p = 25

There were 25 performances

sold out to not sold out

2/5 : 3/5

Multiply by 5

2: 3

Add.
4x^2 - 5x+3
+ 2x2 + 7x-8

Answers

The answer is 6x^2+2x-5

please see attached picture for full solution

Hope it helps..

Answer:

[tex] = 6 {x}^{2} + 2x - 5 \\ [/tex]

Step-by-step explanation:

[tex]4 {x}^{2} - 5x + 3 + 2 {x}^{2} + 7x - 8 \\ 4 {x}^{2} + 2 {x}^{2} - 5x + 7x + 3 - 8 \\ = 6 {x}^{2} + 2x - 5[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

9. Find the area of the right triangle with
height of 3 2/3 feet and a base of 2 feet.

Answers

Step-by-step explanation:

Area= 1/2 * b*h

h= 3 2/3 = 11/3

Area = 1/2*2*11/3 = 11/3 square feet or 3 3/2 square feet

Find the coordinates of the point for the reflection.
(−4, 8) across the x-axis
The coordinates of the reflection are

Answers

Answer:

The point after the reflection: [tex](-4,-8)[/tex]

Step-by-step explanation:

-Statement: If you reflect the point [tex](x,y)[/tex] across x-axis or the y-axis, then the [tex]x[/tex] and the [tex]y[/tex] of the point can change either positive, negative or the same, depending on where the point is located on a graph.

-So, if you reflect the point [tex](-4,8)[/tex] across x-axis, then the point after the reflection, would be [tex](-4, -8)[/tex] :

The following point: [tex](-4, 8)[/tex]

The point after the reflection: [tex](-4,-8)[/tex]

wrtie the vaule of 2 1/4 x (4+12)

Answers

Answer:

36

Step-by-step explanation:

[tex]2 1/4 = 9/4[/tex]  if you convert it to an improper fraction.

[tex]9/4(4+12)\\9/4(16)\\36[/tex]

Answer:

The answer is 36

Step-by-step explanation:

2 1/4 * (4+12)=36

Explain how you would create an equation from a graph of a line representing a scenario.

Answers

Answer:

Find two points on the line and write them out: (x1,y1) (x2,y2)

Use this formula: y2-y1/x2-x1

The answer you get is the slope which is "m" in y=mx+b

Now in y=mx+b plug in one point's y into y and x into x. 

Find b

Answer:

Use points from the graph to create a table of data points. Then find a rule for the data in the table and write an equation that represents that rule. Lastly, check that the equation holds true for other data points in the table or graph.

Step-by-step explanation:

Is every trapezoid a rectangle

Answers

no. A trapezoid has only one pair of parallel sides while a rectangle has right angles

Answer:

No, a trapezoid is not a rectangle.

This is because trapezoids by definition have only one pair of parallel sides while rectangles must have at least two sets of opposite parallel sides. Also, trapezoids do not have 90 degrees at every angle like rectangles do.

Maya can run 18 miles in 3 hours, and she can bike 18 miles in 2 hours.
What is Maya’s biking speed?

Answers

Answer:

19 miles per hour

Step-by-step explanation:

answer these 6 questions
SOLVE these
1.(13x-15=12x+16)
2.(9x-19=2x-5)
3.(16x-35=7x-8)
4.(6x-5=13-3x)
5.(4x-9=6-x)
6.(5x-2=10-x)

Answers

Answer:

[tex]1)13x - 15 = 12x + 16 \\ 13x - 12x = 15 + 16 \\ x = 31[/tex]

[tex]2)9x - 19 = 2x - 5 \\ 9x - 2x = 19 - 5 \\ 7x = 14 \\ \frac{7x}{7} = \frac{14}{7} \\ x = 2[/tex]

[tex]3)16x - 35 = 7x - 8 \\ 16x - 7x = 35 - 8 \\ 9x = 27 \\ \frac{9x}{9} = \frac{27}{9} \\ x = 3[/tex]

[tex]4)6x - 5 = 13 - 3x \\ 6x + 3x = 5 + 13 \\ 9x = 18 \\ \frac{9x}{9} = \frac{18}{9} \\ x = 2[/tex]

[tex]5)4x - 9 = 6 - x \\ 4x + x = 9 + 6 \\ 5x = 15 \\ \frac{5x}{5} = \frac{15}{5} \\ x = 3[/tex]

[tex]6)5x - 2 = 10 - x \\ 5x + x = 2 + 10 \\ 6x = 12 \\ \frac{6x}{6} = \frac{12}{6} \\ x = 2[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answers:

31

2

3

2

3

2

Look at the attached picture

Hope it will help you

Good luck on your assignment

Please find attached

Answers

Answer:

9,450,000 red cars

Step-by-step explanation:

35,000,000/100=350,000

27*350,000=9,450,000

Which one doesn’t belong

Answers

Answer:

x+5=5

Step-by-step explanation:

This is an equation where you are actually solving it. The others are expressions.

Can you please answer this question...

Answers

1.rs 2.yoy can just put the q with the t and when you subtract it can problabbly go to thr letter a

Answer:

1. R and S

2. Both equidistant from 0

3. Move six spots to the left of T because each spot is 1/4, and 1 1/2 = 6/4, and it is a subtraction problem.

Step-by-step explanation:

What is the simplest form of ^4√324x^6y^8

Answers

Answer:

its B= 3xy^2 4 sqrt 4x^2 on edge

Step-by-step explanation:

The simplest form is B,) 3xy²^4√4x²

What is Square root?

A square root of a number is a value that, when multiplied by itself, gives the number.

Example: 4 × 4 = 16, so a square root of 16 is 4.

Here,  Given that,^4√324x^6y^8

=^4√3×3×3×3×4×x^4×x²×y²×y²×y²×y²

=3xy²^4√4x²

Hence, The simplest form is B,) 3xy²^4√4x²

To learn more on square root click:

https://brainly.com/question/29286039

#SPJ3

4(t+25) = (t+50) - 4 (0.15t)

Answers

Answer:

4(t+25) = (t+50) - 4 (0.15t)

4t + 100 = t + 50 - 0.6t

4t + 100 = 50 + 0.4t

4t - 0.4t + 100 = 50 + 0.4t - 0.4t

3.6t + 100 = 50

3.6t + 100 - 100 = 50 - 100

3.6t = -50

3.6t / 3.6 = -50 / 3.6

t = - 13.9

Step-by-step explanation:

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