ashley drove to her father's house, which was 164 miles away. It took her 2 hours to get there. After seeing her father for 2 hours, she went to her cousin's house to stay overnight, which was 125 miles from her father's house. How many minutes does it take Ashley to get to her cousin's if she drives the same speed as when she went to her father's? Do not include units in your answer and round to the nearest hundredth. Example, if answer is 19.546 minutes, put 19.55.

Answers

Answer 1

Answer:

Time Spent = 91.46 minutes

Step-by-step explanation:

Given

To Her Father's house

Distance = 164 miles

Time Taken = 2 hours

To Her Cousin's house

Distance = 125 miles

Required

Time Taken to get to her cousins house.

First, her average speed to her father's house needs to be calculated.

Speed is calculated as thus;

[tex]Speed = \frac{Distance}{Time}[/tex]

In this case, Distance = 164 miles and Time = 2 hours

Substitute these values;

[tex]Speed = \frac{164 miles}{2 hours}[/tex]

[tex]Speed = 82miles/hour[/tex]

It's stated in the question that; she maintains the same speed when going to her cousin's residence to spend the night;

Using the same formula for speed;

[tex]Speed = \frac{Distance}{Time}[/tex]

But in this case, Speed = 82 miles/hour and Distance = 125 miles

Substitute these values

[tex]82 = \frac{125}{Time}[/tex]

Multiply both sides by Time

[tex]82 * Time = \frac{125}{Time} * Time[/tex]

[tex]82 * Time = 125[/tex]

Divide both sides by 82

[tex]\frac{82 * Time}{82} = \frac{125}{82}[/tex]

[tex]Time = \frac{125}{82} hours[/tex]

To convert this time to minutes

If 1 hour = 60 minutes

Then,

[tex]\frac{125}{82} hours[/tex] is equivalent to [tex]\frac{125}{82} * 60 minutes[/tex]

Hence,

[tex]Time = \frac{125}{82} * 60 minutes[/tex]

[tex]Time = 91.463415 minutes[/tex]

[tex]Time = 91.46 minutes[/tex] (Approximated)

Hence, she spends 91.46 minutes to get to her cousin's place from her father's house


Related Questions

Help me I’m stressed with this

I WILL MARK AS BRANLIEST!

Answers

Answer:

y = 8x + 3

Step-by-step explanation:

We already know that the slope-intercept of the line is y = mx + b. We know that b = 3 because the line goes through (0, 3), which is the x-intercept. Now to find the slope, or m. The slope of a line is (y₂ - y₁) / (x₂ - x₁). In this case we have (x₁ , y₁) = (-1, -5) and (x₂ , y₂) = (0, 3). Plugging these in we get

(3 - (-5)) / (0 - (-1)) = 8 / 1 = 8. Therefore our answer is y = 8x + 3. Hope this helps!

Determine the value of x

Answers

Answer:

The value of x is 12 feet

Step-by-step explanation:

The shape in question is a composite shape. We can see that x is both the base of the triangle and the breadth of the rectangle.

To get the area of the shape, we will have to add the area of the rectangle to the area of the triangle.

Area of rectangle = length X breadth

Area of triangle = 1/2 base X height.

However, to calculate the area of the triangle, we need to find its height first.

The next step is to get the height of the triangle. Observing the shape properly, we can see that we can get the height by subtracting the length of the rectangle from the overall length of the shape.

Height of triangle = 16 ft - 10 ft = 6 ft

recall area = 156 square feet.

We now have most of our missing dimensions

We can now set up an equation as follows:

[tex](10 \times x) +0.5 \times x \times 6 = 156[/tex]

[tex]10x +3x=156\\13x=156\\x=12 feet[/tex]

Therefore the value of x is 12 feet

Central Tendency:Question 4
Using the data below, what is the median?
14, 12, 12, 18 , 22 , 20, 17
Select one:
10
18
12
17

Answers

Answer:

17

Step-by-step explanation:

14, 12, 12, 18 , 22 , 20, 17

Put the numbers in order from smallest to largest

12, 12, 14,17, 18 , 20 , 22

The median is the middle number

12, 12, 14,     17,      18 , 20 , 22

The middle number is 17

Its 12 for sure because its on there twice

En una academia hay 3 aulas, el aula roja, el aula azul, y el aula negra. Los estudiantes están reportados de la siguiente manera:

. el aula roja tiene el 50% de los estudiantes
. el aula azul, tiene el 30%de los estudiantes.
. el aula negra tiene, tiene el 20% de los estudiantes.

Los hombres están reportados de manera uniforme, pues en cada aula hay un 40% de hombres, si se selecciona estudiante al azar:

a) ¿Cuál es la probabilidad de que sea una mujer del aula azul?
b) ¿Cuál es la probabilidad de que sea hombre del aula negra?

Answers

Answer:

To solve this problem, we just have to multiply.

(A) The event: woman in the blue class room is related to 60% of women representation and 30% of students representation in the blue classroom.

Therefore, the chances of choosing a woman student from the blue classroom is

[tex]P= 0.60 \times 0.30 = 0.18[/tex]

Which is equivalent to 18% of probability.

(B)

We apply the same process to find the probability of choosing a man from the black classroom.

[tex]P= 0.40 \times 0.20 = 0.08[/tex]

Which is equivalent to 8% of probability.

Therefore, there's a 18% of chances of choosing a woman from the blue classroom, and there's a 8% of changes of chossing a man from the black classroom.

Find the distance between the points (2,5) and (1,-2)

Answers

Answer:

distance between the two points is 7.071

Solve the equation 5x + 23 = 2y - 5 for x if
y is 4. Make sure to first solve the equation for
x in terms of y.
X =​

Answers

the answer is x = -4

what is the quotient of 5.76×7 and 9.0×10 to the fourth power expressed in scientific notation?

Answers

Answer:

4.48 ×10^-4

Step-by-step explanation:

Now putting the sentence into a mathematical relationship (recall that quotient is the result of division). We have;

5.76 ×7 / 9.0×10^4 = 40.32/90000= 4.48 ×10^-4

Scientific notation is a way of expressing numbers that are too big or too small to be conveniently written in decimal form. It is commonly used by scientists, mathematicians and engineers.

The general format for writing scientific notation is a x 10^b where a is a number or decimal number such that the absolute value of a is greater than or equal to one. a may also be expressed as a decimal as in the answer above. a may also be equal to or greater than 10 as the case maybe. b is the power of 10 required so that the scientific notation is mathematically equivalent to the original number.

The scale balanced when n + 20=50. Suppose the left becomes n+3. How can you change the right side so that n+3=__ is equivalent to n + 20=50?

Answers

Answer:

33

Step-by-step explanation:

If n + 20 = 50 then n = 30

n + 3 = 33

I'm always happy to help :)

What is the sum of the first 37 terms of the arithmetic sequence?


−27,−21,−15,−9,...



Enter your answer in the box.

Answers

Answer:

The sum of the first 37 terms of the arithmetic sequence is 2997.

Step-by-step explanation:

Arithmetic sequence concepts:

The general rule of an arithmetic sequence is the following:

[tex]a_{n+1} = a_{n} + d[/tex]

In which d is the common diference between each term.

We can expand the general equation to find the nth term from the first, by the following equation:

[tex]a_{n} = a_{1} + (n-1)*d[/tex]

The sum of the first n terms of an arithmetic sequence is given by:

[tex]S_{n} = \frac{n(a_{1} + a_{n})}{2}[/tex]

In this question:

[tex]a_{1} = -27, d = -21 - (-27) = -15 - (-21) = ... = 6[/tex]

We want the sum of the first 37 terms, so we have to find [tex]a_{37}[/tex]

[tex]a_{n} = a_{1} + (n-1)*d[/tex]

[tex]a_{37} = a_{1} + (36)*d[/tex]

[tex]a_{37} = -27 + 36*6[/tex]

[tex]a_{37} = 189[/tex]

Then

[tex]S_{37} = \frac{37(-27 + 189)}{2} = 2997[/tex]

The sum of the first 37 terms of the arithmetic sequence is 2997.

Jen bought 40 bracelets and 40 necklaces for $3,040. Mark bought 80 bracelets and 40 necklaces for $3,760.
Use elimination to sole the system of linear equations and determine how much each bracelet cost, x and how much each necklace coast. (x,y)

Answers

Answer:

bracelet $18necklace $58

Step-by-step explanation:

You are given that ...

  40x +40y = 3040

  80x +40y = 3760

Eliminate y by subtracting the first equation from the second:

  (80x +40y) -(40x +40y) = (3760) -(3040)

  40x = 720

  x = 18

Using the first equation to find y, we have ...

  40y = 3040 -40x

  y = 76 -x . . . . . divide by 40

  y = 76 -18 = 58

The cost of a bracelet is $18; the cost of a necklace is $58.

Does anyone on Brainly know how to do this

Answers

Answer:

P'(5, -1)Q'(7, 3)R'(10, 1)

Step-by-step explanation:

The translation 5 to the right adds 5 to the x-value.

The translation 1 unit down subtracts 1 from the y-value.

  (x, y) ⇒ (x+5, y-1)

P(0, 0) ⇒ P'(0+5, 0-1) = P'(5, -1)

Q(2, 4) ⇒ Q'(2+5,4-1) = Q'(7, 3)

R( 5, 2) ⇒ R'(5+5, 2-1) = R'(10, 1)

Answer:

P'[5,-1], Q' [7,3], R'[10,1]

Step-by-step explanation:

Since the object translates 5 unit to the right and 1 unit down ;it means the value of X will move 5 units positively and the value of y will decrement by 1 of its original value to create the image.

Workers specified as actively disengaged are those who are emotionally disconnected from their work and workplace. A poll surveyed individuals who were either unemployed or who were actively disengaged in their current position. Individuals were asked to classify themselves as thriving or struggling. The poll reported that 62​% of the actively disengaged group claimed to be​ thriving, compared to 42​% of the unemployed group. Complete parts a through c below.
a. Are these percentages (probabilities) ordinary or conditional? Explain, by specifying events to which the probabilties refer
A. Ordinary, because the statement gives the probability of one independent event occurring
B. Conditional, because the statement gives the probability of one independent
C. Ordinary, because the statement gives the probability of one event occurring, given that another event
D. Conditional, because statement the statement gives the probability of one event occurring, given that another event has occurred.

Answers

Answer:

D. Conditional, because statement the statement gives the probability of one event occurring, given that another event has occurred.

Step-by-step explanation:

Both of the probabilities provided are conditional since they represent a probability of an event occurring, given that another event has already occured.

The poll gives us that there is a 62% probability of individuals classifying themselves to be thriving, given that they are actively disengaged. It also says that there is a 42% probability of individuals classifying themselfs to be thriving, given that they are unemployed.

The "given that" expression represents the condition that an event has previously occurred, which means that the probabilities shown are Conditional.

Cuanto es 32256 dividido para 25 con proceso

Answers

Answer:

1290.24

Step-by-step explanation:

This has to do with simple division

Cuanto es 32256 dividido para 25 con process translation was translated In English language. I translated the question to mean 32256 divided by 25

Step one

32256 divided by 25

32256/25 = 1290.24

The answer is 1290.24

Write a numerical expression for the calculation.
Add 79​, 139​, and 19​, and then divide by 27.

Answers

Answer:

(79+139+19) / 27

answer is 8.77 repeating if you need it

Step-by-step explanation:

Multiply the following numbers.

18.4 x 7.1 =

130.64
1,306.4
13.064
1.3064

Answers

its 130.64 first one

Answer:

The first one

Step-by-step explanation:

you would do 18.4 times 7.1 which is 130.64 which is equal to 130.64 which is the first answer

Hope this helped

(・∀・(・∀・(・∀・*)

The movie, Avatar, earned $760 million in America theaters and $2.022 billion in foreign theaters. How much did Avatar earn worldwide in theaters?

Answers

Answer:

2.782 billion

Step-by-step explanation:

Answer:

= $2.782 billion

Step-by-step explanation:

American theaters = $ 760,000,000

Foreign theaters = $ 2,022,000,000

= $ 760,000,000 + $ 2,022,000,000

= $ 2,782,000,000

= $ 2.782 billion

The difference of 3 times a number and 15 is no less than the square of the number.

Answers

Answer:

3x-15 greater than/= x^2

Step-by-step explanation:

Which of the following represents the general term for the sequence

Answers

Answer:

where is the options

please give options then I will tell you answer

and I am Indian I like to make friends and help others.

Answer:

whats the sequence, whenever you post it or update this one, let me know and ill get back to you as soon as i see it.

Giving brainliest for CORRECT awnser.

Answers

Answer:

Option A

................

The table shows the price of strawberries this week at The Produce Place.
Weight (lb)
1
2.
3
4
Price (dollars)
2.50
5.00
7.50
10.00
What is the constant of proportionality? Complete the statement.
The constant of proportionality is

Answers

Answer:

  The constant of proportionality is 2.50

Step-by-step explanation:

For a weight of 1 lb, the price is $2.50, so the price in dollars is related to the weight in pounds by the constant 2.50.

The constant of proportionality is 2.50 (dollars per pound).

Answer:

its 2.5

Step-by-step explanation:

Someone please help :3

Answers

Answer:

favorite zoo animal

Step-by-step explanation:

Answer: Favorite zoo animal

Step-by-step explanation:

for which functions f ' (x) is equal to f^-1 (x)

Answers

It is the inverse of that equation.

The sum of three consecutive even number is 114. What is the smallest of these numbers?

Answers

。☆✼★ ━━━━━━━━━━━━━━  ☾  

We can call the smallest number '2n'

The next number can be '2n + 2' and the last number can be '2n + 4'

So, 2n + 2n + 2 + 2n + 4 = 114

Simplify this to get:

6n + 6 = 114

- 6 from both sides

6n = 108

/ 6 on both sides

n = 18

2(18) = 36

It would be 36

Have A Nice Day ❤    

Stay Brainly! ヅ    

- Ally ✧    

。☆✼★ ━━━━━━━━━━━━━━  ☾

Point A is a representation of which number on the number line?

A number line has points blank, A, negative 2, B, 0, C, 2, blank, D.
–4
–3
1
4

Answers

Answer:

B

Step-by-step explanation:

Answer

-3

Step-by-step explanation:

on edge 2020

14 in.
2 in.
2 in.
3 in.
3 in.
The volume of the figure
cubic in.

Answers

Answer: 9 cubic inches

On one day in an ice cream store, 48% of the cones they sell are chocolate. What is 48% written as a decimal?

Answers

Answer:

48% written as a decimal is 0.48.

Step-by-step explanation:

Conversion of a percentage to decimal:

To realize the conversion of a percentage to decial, we must divide the percentage by 100.

For example, 20% as a decimal is 20/100 = 0.1.

So

What is 48% written as a decimal?

Dividing by 100

48/100 = 0.48

48% written as a decimal is 0.48.

What is the range of the function shown in the graph?

A. -infinity B. -5 C. -infinity D. -infinity

Answers

Answer:

c

Step-by-step explanation:

Answer:

(-♾,♾) I'm pretty sure its like that.

What is 3.14 times 10

Answers

31.4. If you can give brainliest that would be cool, otherwise it’s okay.
31.4 when multiplying by 10 you can just move the decimal point over:)

A number is randomly selected from 10 to 20. X is the event of selecting

a number divisible by 3. Y is the event of selecting a prime number.

a) Draw a Venn diagram to represent the information.


b) Are events X and Y mutually exclusive? Explain.


c) Find P(X) and P(Y).

Answers

Answer:

unsure

Step-by-step explanation:

idk

There are 31 flavors of ice cream, 2 choices of cones, 1 scoop, 2 scoops, or 3 scoops. How many different choices are there?

Answers

Answer:

There are 39 different choices

Step-by-step explanation:

Add the the flavors of ice cream the cones and the scoops.

31+2=33

1+2+3=6

33+6=39

Hope this helps

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