A man leaves the town of Elmsville at 8:00 am and drives to Oak City at a constant rate of 50 miles per hour. Two hours later, a woman leaves Elmsville following the same route to Oak City. The man and woman arrive in Oak City at 3:00 p.m. What was the rate of the woman

Answers

Answer 1

Answer: 70 mph

Step-by-step explanation:

Given

A man leaves the town of Elmsville at 8:00 am and reach oak city at 3 Pm

Rate of driving is 50 miles per hour

time taken by man [tex]t=7\ hr[/tex]

Woman leaves 2 hour later and reach by 3 Pm, so time taken is [tex]5\ hr[/tex]

Distance traveled by both the person is same

[tex]\therefore 50\times 7=v\times 5\quad[v=\text{rate of woman}]\\\\\Rightarrow v=\dfrac{50\times 7}{5}\\\\\Rightarrow v=70\ mph[/tex]

Thus , the rate of woman is 70 miles per hour.


Related Questions

solve y/2 + 22 =38 for y

Answers

Answer:

y = 32

Step-by-step explanation:

[tex]\frac{y}{2}+22=38\\\frac{y}{2}=16\\y=32[/tex]

Answer:

y=32

Step-by-step explanation:

y/2 + 22 =38

Subtract 22 from each side

y/2 + 22-22 =38-22

y/2 = 16

Multiply each side by 2

y/2 *2 =16*2

y = 32

Which ones are correct?

Answers

Answer:

Th answer is D

Step-by-step explanation:

Parameterize the curve of intersection of the surfaces so that the direction is clockwise when viewed from above. Include a sketch of each surface and the curve. x + z = 1 and 2 = 4 - x2 - y2

Answers

Answer:

Answer is attached in images

Step-by-step explanation:

Given:

x+z=1 and

[tex]z=4-x^{2} -y^{2}[/tex]

Now,

[tex]1-x=4-x^{2} 2-y^{2} 2\\x^{2} -x+y^{2} \\x^{2} -x+1/4+y^{2} =3\\(x-1/2)^{2} +y^{2} =3+1/4\\(x-1/2)^{2} +y^{2} =(\sqrt(13)/2)^{2}[/tex]

Which is circle with center (1/2,0) radius

[tex]\sqrt{13/2}[/tex] take, [tex]x=1/2+\sqrt{3} /2 cos\alpha \\y=\sqrt{13}/2 sin\alpha 0\leq \alpha \leq 2\pi[/tex]

Now,

Find the slope of the line that passes through these two points. (0, -2): (5. 3)​

Answers

Answer:

[tex]\displaystyle m = 1[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Coordinates (x, y)Slope Formula: [tex]\displaystyle m = \frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Identify

Point (0, -2)

Point (5, 3)

Step 2: Find slope m

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

Substitute in points [Slope Formula]:                                                              [tex]\displaystyle m = \frac{3--2}{5-0}[/tex][Fraction] Subtract:                                                                                           [tex]\displaystyle m = \frac{5}{5}[/tex][Fraction] Divide:                                                                                               [tex]\displaystyle m = 1[/tex]

Whats the answer please help

Answers

Answer: d

Step-by-step explanation:

how many 1/4 doses can be drawn from a 7 and 1/2 vial of medication

Answers

Answer:

30

Step-by-step explanation:

7 1/2 is 15/2 as an improper fraction

15/2 ÷ 1/4 = 15/2 · 4 which is 30

Answer:

30 doses

Step-by-step explanation:

convert 7 1/2 into an improper fraction: 15/2

multiply it by 2/2 to have a common denominator: 30/4

The school newspaper surveyed 100 commuter students and asked three questions. First, students were asked how many courses they were currently enrolled in. Second, the commuter students were asked to estimate how long it took them to drive to campus. And third, they were asked their heights. Identify the type of random variable being measured by each.

Answers

Answer:

The number of courses they were currently enrolled in is a discrete random variable.

The time it took them to drive to campus is a continuous random variable.

Their heights is a continuous random variable.

Step-by-step explanation:

Random variables:

Random variables can be classified as continuous or discrete.

Discrete variables are countable numbers(0,1,2,...), while continuous variables can assume decimal values.

First, students were asked how many courses they were currently enrolled in.

Can be 0,1,2,... that is, has to be a countable number, so the number of courses they were currently enrolled in is a discrete random variable.

Second, the commuter students were asked to estimate how long it took them to drive to campus.

Can be for example, 10.5 minutes, half an hour, that is, can be represented by decimal values, and thus the time it took them to drive to campus is a continuous random variable.

And third, they were asked their heights.

Can also be decimal numbers, so continuous.

Hamburger Heaven is having a lunch special where customers buy one -pound cheeseburger and get one free. If they set aside pounds of meat, how many -pound cheeseburgers can they make?

Answers

Answer:

hey um how many pounds of meat do we know that yet?

Answer:

49 hamburgers

Suppose a binomial trial has a probability of success of 0.9, and 750 trials are
performed. What is the standard deviation of the possible outcomes? Round
your answer to two decimal places.
A. 13.69
B. 13.42
C. 8.22
D. 12.55

Answers

fine ,it is a A ok,I am sorry for using rude words on you

Identify an equation in slope-intercept form for the line parallel to y = 5x + 2 that passes through (-6, -1). O A. y = 5x – 29 O B. y = 1x+ 1 5 O C. y = 5x + 29 OD. y = -5x - 11​

Answers

Answer:

[tex]{\text{C. }y=5x+29[/tex]

Step-by-step explanation:

The slope-intercept form of a line is given by [tex]y=mx+b[/tex], where [tex]m[/tex] is the slope of the line and [tex]b[/tex] is the y-intercept.

The slopes of parallel lines are always equal. Therefore, the slope of the equation we want to find will also be [tex]5[/tex]. The equation of the line must be true for any point it passes through. Thus, we can plug in the point [tex](-6,-1)[/tex] to solve:

[tex]y=mx+b,\\-1=5(-6)+b,\\-1=-30+b,\\b=29[/tex]

Thus, the equation of the line is [tex]\boxed{\text{C. }y=5x+29}[/tex]

According to a government study, among adults in the 25- to 34-year age group, the mean amount spent per year on reading and entertainment is $2,020. Assume that the distribution of the amounts spent follows the normal distribution with a standard deviation of $456. Use Appendix B.3. (Round your z-score computation to 2 decimal places and final answers to 2 decimal places.) What percent of the adults spend more than $2,600 per year on reading and entertainment

Answers

Answer:

z = x-u/s

z = 2600 - 2020/456

z = 1.27

 = .897

1-.898 = .102

z > 1.27 = 10.2%

The percentage of adults spending more than $2,600 per year on reading and entertainment is 10.2%.

What is the z-score?

The standard score in statistics is the number of standard deviations that a raw score deviates from or exceeds the mean of the phenomenon being observed or assessed. Standard scores are positive for raw scores above the mean and negative for raw scores below the mean.

Given that according to a government study, among adults in the 25- to 34-year age group, the mean amount spent per year on reading and entertainment is $2,020. Assume that the distribution of the amounts spent follows the normal distribution with a standard deviation of $456.

The percentage will be calculated as,

z = x-u/s

z = 2600 - (2020/456)

z = 1.27

The value of z=1.27 in the table is 0.897. The percentage will be calculated as,

P = 1-.898 = .102

z > 1.27 = 10.2%

Therefore, the percentage of adults spending more than $2,600 per year on reading and entertainment is 10.2%.

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Help PLSSSSS I will give you Brainlyist
I suck at math it should be easy

Answers

Answer:

11

Step-by-step explanation:

44 / 11 = 4

33 / 11 = 3

7 strips

Answer:

11

Step-by-step explanation:

bro don't call urself that....

A sample of 340 students in a high school were asked how many times they go to their locker each day. 137 of those surveyed said that they go to their locker at least 3 times each day. Calculate the sample proportion of students who go to their locker at least 3 times each day. Either give the exact fraction or decimal, or round to three decimal places.

Answers

Answer:

The sample proportion of students who go to their locker at least 3 times each day is 0.403.

Step-by-step explanation:

Sample proportion of students who go to their locker at least 3 times each day.

The sample proportion of students who go to their locker at least 3 times each day is the number of students who do this divided by the size of the sample.

In this question:

137 go to their locker at least 3 times each day, sample of 340 students. So

137/340 = 0.403

The sample proportion of students who go to their locker at least 3 times each day is 0.403.

What is the density of this object? (A sphere)​​

Answers

Density = 0.29841…

The formula for density is P = m/V

Find C.
Round to the nearest tenth.
20 ft)
22 ft
B
18 ft
А

Answers

50.5 degrees

Use the cosine rule for angles

cos C = (20^2 + 22^2 - 18^2)/(2 x 20 x 22) = 0.6363...
C = 50.5 degrees

select the correct answer. The capacity of a circular bowl varies directly with the cube of its diameter. How does the capacity of the bowl change when the diameter is doubled? a. the capacity is multiplied by 8. b. the capacity is multiplied by 2. c. the capacity is multiplied by 1/8. d. the capacity is multiplied by 1/2.​

Answers

Answer:

A

Step-by-step explanation:

got it right on the test

In a directly proportional relationship, increasing one variable will increase another. The correct option is A.

What is the directly proportional relationship?

Let there are two variables p and q

Then, p and q are said to be directly proportional to each other if

p = kq

where k is some constant number called the constant of proportionality.

This directly proportional relationship between p and q is written as

p∝q where that middle sign is the sign of proportionality.

In a directly proportional relationship, increasing one variable will increase another.

Now let m and n be two variables.

Then m and n are said to be inversely proportional to each other if

[tex]m = \dfrac{c}{n} \\\\ \text{or} \\\\ n = \dfrac{c}{m}[/tex]

(both are equal)

where c is a constant number called the constant of proportionality.

Given that the capacity of a circular bowl varies directly with the cube of its diameter. Therefore, the relationship can be written as,

Volume of the bowl ∝ (Diameter of the bowl)³

V₁ ∝ (D)³

Now, if the diameter of the bowl is increased and made double. Then the volume of the bowl will be,

Volume ∝ (2 × Diameter)³

V₂ ∝ (2D)³

V₂ ∝ 8(D)³

V₂ ∝ 8 V₁

Thus, when the diameter is doubled then the capacity of the bowl changes to 8 times the initial.

Hence, the capacity is multiplied by 8.

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Write a number that is greater than 100 and less than 1000.
Divide that number by 10 or 100.
The quotient should be a number that is less than 100 but greater than 1.

Answers

Answer:

150

Step-by-step explanation:

150 is greater than 100 and less than 1000.

150 can divide by 10.

The quotient of 150 is less than 100 but greater than 1.

please help and thank you

Answers

Answer:

D) 3

Step-by-step explanation:

It is halfway the length of Y and W. 6-3= 3

Note:

Pls notify me if my answer is incorrect for the other users that will see this response. Thank you.

-kiniwih426

Option D is the right answer

This is a rhombus. Solve for x, Then label each angle with its correct measures:

Answers

Answer:

Step-by-step explanation:

In the given rhombus, the value of x is 18.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We know that;

Diagonal bisect the angles of a rhombus.

Hence, We can formulate;

⇒ (2x + 16)° = (3x - 2)°

Solve for x as;

⇒ 2x + 16 = 3x - 2

Subtract 2x both side,

⇒ 2x + 16 - 2x = 3x - 2 - 2x

⇒ 16 = x - 2

Add 2 both side,

⇒ 16 + 2 = x - 2 + 2

⇒ 18 = x

⇒ x = 18

Thus, The value of x in rhombus = 18

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The subjects of an experiment should be selected at random so that they
represent the population from which they come.
O
A. True
O
B. False

Answers

Answer: True

Step-by-step explanation:

The subjects of an experiment should be selected at random so that they

represent the population is true.

Once the sample size has been decided, a sample should be taken from the sample size which will represent the population. This gives everyone an equal chance of being selected as there's no bias.

Arlene went to the grocery store to buy cold cuts for making sandwiches for lunch. She wants to buy 2.5 lbs. Of ham that cost 7.92 per pound. How much will she spend in total?​

Answers

Answer:

$19.80

Step-by-step explanation:

If 1 pound of ham costs 7.92, multiply that by 2.5 (the amount she wants to buy) and get the total cost 19.8

Pythagorean theorem

Answers

Answer:

b=20 yards

Step-by-step explanation:

15^2+x^2=25^2

225+x^2=625

x^2=400

x=20

Answer:

x=20

Step-by-step explanation:

4
)
5 + 15x
42x + 4
A) -2
C) -10
B) 3
D) -8

Answers

Answer:

D

Step-by-step explanation:

D

Given that the triangles shown below are simiar, what is the value of x?

O A. 7.1
O B. 5
O C. 14
O D. 10

Answers

Answer:

C) 14

Step-by-step explanation:

Both triangles are the same as far as angles, DEF is however half of ABC. Therefore x is half of 28

HELP HELPP PLS QUICK

Answers

The correct answer should be C

ered
Christine(C) and two of her friends. Bianca B) and Travis(7), won first place for a marketing case competition. They received an amount of $3,600, however,
they decided to share the prize in the ratio of the amount of time each of them spent on the marketing case. If Christine spent 4 hours, Bianca spent 6 hours.
and Travis spent 8 hours, what would be each person's share of the prize?
f2.00
jon
aC:600.B:1400,T:1300
b. C:600.B:1200.T: 1600
c
C:800.B:1200.T:1600

Answers

Answer: C:800.B:1200.T:1600

Step-by-step explanation: If the ratio is proportional to the time spent on the marketing competition, then we can add the hours up: 4+6+8=18. Total amount divded by total hours -> 3600/18=200. So each hour worked is 200 dollars. Christine worked 4 hours, 4*200=800, Bianca worked 6 hours, 6*200=1,200, and Travis worked 8 hours, 8*200=1,600.

four numbers 1-6 you roll a six-sided die whose sides are numbered from 1 through 6. Find the probability of rolling the following. NO LINKS!!!!

Answers

Answer:

#1

Since half of the numbers are even, 2, 4, 6

P(even) = 3/6 = 1/2

#2

Multiple of 3 are 3 and 6:

P(multiple of 3) = 2/6 = 1/3

#3

The numbers ≤ 4 are: 1, 2, 3, 4

P(≤4) = 4/6 = 2/3

#4

Prime numbers are 2, 3, 5

P(prime) = 3/6 = 1/2

#5

Numbers > 1 are 2, 3, 4, 5, 6

P(>1) = 5/6

#6

A four, there is one option

P(4) = 1/6

You measure 30 dogs' weights, and find they have a mean weight of 31 ounces. Assume the population standard deviation is 6.1 ounces. Based on this, construct a 95% confidence interval for the true population mean dog weight. Give your answers as decimals, to two places

Answers

Answer:

The answer is "[tex](32.8318736, 29.1681264)[/tex]"

Step-by-step explanation:

When the [tex]95\%[/tex] of the confidence interval are true population means of the dog weight then:

[tex]=\bar{x} \pm \frac{\sigma }{\sqrt{n}} \times z_{0.05}\\\\=31 \pm \frac{6.1}{\sqrt{30}}\times 1.64485\\\\=31 \pm 1.83187361\\\\=(32.8318736, 29.1681264)[/tex]

What is the total cost of a bag chips that cost $0.99 with 7% sales tax?

Answers

Yes I am going back home now and I have a fever so I’m gonna do that lol I’m sorry I’m
0.99 x 0.7 = 0.693
0.99 + 0.7 = $1.06

What should be capitalize in a passage

Answers

There’s no passage attached to this question but here are some things you should capitalize in a passage (this is all that I can think of):
Proper nouns
Every first word in a sentence

Hope this absolutely helps!
SpaceMarsh
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