On a drive from one city to​ another, the person averaged 51 mph. If he had been able to average 72 ​mph, he would have reached his destination 7 hrs earlier. What is the driving distance between one city and the​ other?

Answers

Answer 1

Answer: 1224 miles

Step-by-step explanation:

Given

the average speed of a person is 51 mph

If speed is increased to 72 mph, he would have reached 7 hr earlier

Suppose d and t be the distance and time taken

[tex]\Rightarrow t_1=\dfrac{d}{51}[/tex]

If the speed is 72 mph

[tex]\Rightarrow t_2=\dfrac{d}{72}[/tex]

Also, [tex]t_1-t_2=7[/tex]

[tex]\Rightarrow \dfrac{d}{51}-\dfrac{d}{72}=7\\\\\Rightarrow \dfrac{1}{51}-\dfrac{1}{72}=\dfrac{7}{d}\\\\\Rightarrow \dfrac{24-17}{1224}=\dfrac{7}{d}\\\\\Rightarrow \dfrac{7}{1224}=\dfrac{7}{d}\\\\\Rightarrow d=1224\ miles[/tex]


Related Questions

Jerry pick 16 red apples. He picked 27 green apples. How many apples did Jerry pick? Label the model. Write a number sentence with an for the missing number Solve

Answers

Answer:

48 ksjsnsjsnwwisns sisnwbsisbd

He picked 43 apples

1. The first bus stop on a bus route is 4 miles from school. How many yards is the first bus stop from school? A) 12 yards B) 1760 yards C) 5280 yards D) 7040 ​

Answers

Answer:

D. 7040 yards

Step-by-step explanation:

I think it’s 7040 yards but k don’t know

here's my work please help me​

Answers

Answer: The answer is C

Step-by-step explanation:

Answer:

the answer is C.

2) If 3/5 of students carry an iPhone, what fraction of students is this using 75 as the denominator

Answers

Answer:

45/75

Step-by-step explanation:

75/5 = 15

15x3 = 45

The commutative property changes the _____ of two addends or factors.

Answers

the communtative property chages the grouping
Grouping so that it stay the same

expand and simplify (2x + 3) (3x - 1)​

Answers

Answer:

6x^2+7x−3

Step-by-step explanation:

(2x+3)(3x−1)

Apply the distributive property by multiplying each term of 2x+3 by each term of 3x−1.

6x^2−2x+9x−3

Combine −2x and 9x to get 7x.

6x^2+7x−3

Graph if needed:

PLS HELP I WILL REWARD BRAINIEST

Answers

Answer:

1/3 divided by 4

Step-by-step explanation:

Because you start off with 1/3 and then you split it into 4, 1/12's and 4*1/12 is equal to 1/3

So the answer is 1/3 divided by 4

PLEASE HELP ME, THIS MEANS EVERYTHING TO ME ITS APART OF MY FINALS.❗


The ages of students who play racquetball at a school are shown in the histogram below.



How many students play racquetball at the school?
A.
60
B.
51
C.
54
D.
57

Answers

Answer:

Uhhhh... 54?

Step-by-step explanation:

Just add them together.

find the area of the figure use 3.14

Answers

Answer:

466.08 m²

Step-by-step explanation:

The figure is composed of a triangle and a semicircle.

Therefore,

Area of the figure = area of the triangle + area of the semicircle

= ½*b*h + ½*πr²

Where,

b = 24 m

h = 20 m

π = 3.14

r = ½ of 24 m = 12 m

Substitute each value into the equation

Area of the figure = ½*24*20 + ½*3.14*12²

= 240 + 226.08

= 466.08 m²

.) Suppose college students produce 650 pounds of solid waste each year, on average. Assume that the distribution of waste per college student is normal with a mean of 650 pounds and a standard deviation of 20 pounds. What is the probability that a randomly selected student produces either less than 620 or more than 700 pounds of solid waste

Answers

Answer:

0.073 = 7.3% probability that a randomly selected student produces either less than 620 or more than 700 pounds of solid waste

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 650 pounds and a standard deviation of 20 pounds.

This means that [tex]\mu = 650, \sigma = 20[/tex]

What is the probability that a randomly selected student produces either less than 620 or more than 700 pounds of solid waste?

Less than 620:

pvalue of Z when X = 620. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{620 - 650}{20}[/tex]

[tex]Z = -1.5[/tex]

[tex]Z = -1.5[/tex] has a pvalue of 0.0668

More than 700:

1 subtracted by the pvalue of Z when X = 700. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{700 - 650}{20}[/tex]

[tex]Z = 2.5[/tex]

[tex]Z = 2.5[/tex] has a pvalue of 0.9938

1 - 0.9938 = 0.0062

Total:

0.0668 + 0.0062 = 0.073

0.073 = 7.3% probability that a randomly selected student produces either less than 620 or more than 700 pounds of solid waste

(ignore this) question is below.

Answers

Is the line before the equation a negative sign or a hyphen?I'm assuming it's a hyphen.The answer is 19.

The probability distribution for a
random variable x is given in the table.
-3
-2
0
2
3
Probability
.17
.13
.33
.16
.11
.10
Find the probability that x < 0

Answers

Answer:

.21

Step-by-step explanation:

is

Answer: 0.79

Step-by-step explanation:

Solve similar triangles (advanced)
Solve for x
x=?


Answers

Answer:

x = 1.2

Step-by-step explanation:

AD/AB = DE/BC (Similarity Theorem)

AD = 6 + 4 = 10

AB = 6

DE = 2

BC = x

Plug in the values

10/6 = 2/x

Cross multiply

10*x = 2*6

10x = 12

Divide both sides by 10

x = 12/10

x = 1.2

8th grade math, please help.

Answers

Answer:

V = 15/4π = 3.75π

Step-by-step explanation:

V=πr^2h

V=π(1/2^2)15

V=π(1/4)15

V=15/4π

A cube has an edge length of 12 meters. What is its volume, in cubic meters?
meters
3

Answers

Answer:

1728

Step-by-step explanation:

if its a cube then all sides are the same length. you need to times to base width and height. so it will be 12 times 12 times 12 which is 1728.

it a tets please help it due today​

Answers

You can use a calculator that’ll plug the numbers in just type fractions calculator

“What is the gradient of the graph shown?”
someone please help I don’t understand how to do this.

Answers

Answer:

Step-by-step explanation:

It is easy to see that (-2, 0) and (0, -4) are points on the line.

gradient = (difference of y-coordinates)/(difference of x-coordinates) = (0-(-4))/(-2-0) = 4/(-2) =  -2

At a factory, two machines pack bottles into boxes for shipping. Machine A can pack 8 boxes per minute, and Machine B can pack 11 boxes per minute.

1. Before shipment, an inspector found that 7 of the boxes were defective and could not be shipped. At least 200 boxes were approved for shipment. Write and solve an inequality to find the amount of time Machine A spent packing the boxes that were approved for shipment.​

Answers

Answer: 25 minutes

Step-by-step explanation:

The graph below shows the solution for a series of two equations. The first equation is y = -7x - 3. What is the other equation
shown on the graph?

Answers

Y=0 or the horizontal line could be described as undefined since it had no slope

Item 9
Find the surface area of the prism.

Answers

Answer:  S = 2(lw + lh + wh)

Step-by-step explanation:  Use this formula to find the total surface area of a prism.

please dont show this

Answers

Uhhh Don’t show what?

Find the volume of each shape.

Answers

Answer:

Step-by-step explanation:

please answer all the questions for 25 points and for brainliest if not answer correctly will report

Answers

Answer:

1) 56.52 in²

2) 565.2 ft²

3) 235.5yd²

4) 898.04 ft²

5) 942 yd²

6) 75.36 in²

Step-by-step explanation:

SA= πrS + πr²

1) (3.14)(2)(7) + (3.14)(2²) = 56.52 in²

2) (3.14)(9)(11) + (3.14)(9²) = 565.2 ft²

3) (3.14)(5)(10) + (3.14)(5²) = 235.5yd²

4) (3.14)(11)(15) + (3.14)(11²) = 898.04 ft²

5) (3.14)(10)(20) + (3.14)(10²) = 942 yd²

S =5 because 5² = 3² + 4²

6) (3.14)(3)(5) + (3.14)(3²) = 75.36 in²



PLZ PLZ PLZ HELPPPP

Answers

Answer:

LCD is 6

first choice

Step-by-step explanation:

least common denominator of 2 and 3 is 6

Lesson 10 Problem Set 5•3
FONY OF UNITS
3. Darren bought some paint. He used 2 gallons painting his living room. After that, he had 3 - gallons left.
How much paint did he buy?
PLS HELP

Answers

Answer:

I think 5 gallon painting

Help please! 50 points! Troll answers WILL be reported

Answers

Answer:

Think its B. but if not it should be E.

Step-by-step explanation:

A car is driving towards home at 0.5 miles per minute. If the car is 4 miles from home at t=0 , which of the following can represent the distance that the car has left to drive? Explain your reasoning.
A. 0.5t
B. 4+0.5t
C. 4-0.5t
D. 4(0.5t)

Answers

The distance that the car has left to drive can be represented as option (D) 4(0.5t) is the correct answer.

What is speed?

The speed is the rate of change of position of an object in any direction. Speed tells us how fast or slow an object travels and describes the distance traveled divided by the time taken to cover the distance.

For the given situation,

The speed of the car,S = 0.5 miles per minute

Let the time be t.

Let the distance be D.

The distance between the car and the home = 4 miles.

The formula that relates speed, distance and time is

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

⇒ [tex]Distance=(Speed)(time)[/tex]

Here initially at t=0, the car is 4 miles apart from the home and it travels at 0.5 miles per minute, so the equation can be represented as

⇒ [tex]D=4(0.5t)[/tex]

Hence we can conclude that the distance that the car has left to drive can be represented as option (D) 4(0.5t) is the correct answer.

Learn more about speed, distance and time here

https://brainly.com/question/2004627

#SPJ2

FInd the area of the polygon

Answers

Answer:

A = 14 units ²

Step-by-step explanation:

Hello There!

The polygon shown is a triangle

The first step is to find the formula for area of a triangle

[tex]A=\frac{1}{2} bh[/tex]

where b = base and h = height

the following dimensions are given

base = 7 and 4 = height

so all we have to do is plug in the values into the formula

[tex]A=\frac{1}{2} 7*4\\7*4=28\\\frac{1}{2} 28=14\\A=14[/tex]

so we can conclude that the area of the polygon is 14 units ²

Answer:

area of polygon =area of TRIANGLE =

1/2 base×height =1/2×7×4=14 units²

Hi can you guys help me with this please

Answers

Answer:

C

Step-by-step explanation:

i think

Answer:

C

Step-by-step explanation:

Can you help me please?!

Answers

30.) d=26

Take the equation

2 x (7 + d)

Now plugin 6 for d

2 x (7 + 6)

2 x (13)

26

31.) c

Take the equation

16b+8/2

Now plugin 4 for b

16(4)+8/2

64+8/2

64+4

68

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