An engineer traveled 125 mi by car and then an additional 675 mi by plane. The rate of the plane was three times the rate of the car. The total trip took 7 h. Find the rate of the car.

Answers

Answer 1

Answer:

The speed of the car is 50 mph.

The speed of the plane is 150 mph.

 

Driving time = 185/50 = 3.7 hours

Flying time = 645/150 = 4.3 hours

Step-by-step explanation:

 

R be the speed of the car.

t is the driving time.

 

185 = R* t

 

645 = (3R)*(8-t) <---  the plane is 3 times as fast; the total time is 8 hours, so 8-t hours is spent flying

 

645 = 24R - 3rt <--- distributive

 

645 = 24R - 3(185)  <--- substitutes rt = 185

 

645 = 24R - 555

 

1200 = 24R

 

R = 50

 


Related Questions

Please Help (no links)

Answers

Answer:

The answer is d

given the numbers 36 60 and 72 write the numbers as a product of their prime factors​

Answers

Answer:

36:2 times 2 times 3 times 3.

60:2 times 2 times 3 times 5

72:2 times 2 times 2 times 3 times 3

Step-by-step explanation:

just keep in mind that when it says times it means multiplication sign.

hope this helps

What is the constant in 24y-8

Answers

Answer:

8 ( 3 − 1 )

Step-by-step explanation:

jenny has $55 in her checking account, he bought 7 equally priced dvds and paid with a check. her new account balance is -$22. how much was each dvd?

Answers

Answer:

Jenny spent $11 on each dvd she bought.

Step-by-step explanation:

First and foremost, add 55 and 22 since her account balance is now at -$22 since that shows she spent even more.

55+22= 77

Next step divide 7 into 77 since that's how many dvds jenny bought.

77÷7= 11

The answer is $11. Jenny spent $11 on each dvd she bought.

Hope this helps

Which series of transformations maps △ABC to △A′B′C′?
Two triangles with vertices A (1, 6), B (5, 0), C (5, 6), & A prime (8, negative 1), B prime (2, negative 5), C prime (8, negative 5).

© 2020 StrongMind. Created using GeoGebra.

Select all that apply.
a translation right 2 units and a rotation 270∘ counterclockwise about the origin
a rotation 90∘ clockwise about the origin and a translation right 2 units
a translation right 2 units and a rotation 90∘ clockwise about the origin
a rotation 270∘ counterclockwise about the origin and a translation right 2 units

Answers

C -  When rotating a point 270 degrees counterclockwise about the origin our point A(x,y) becomes A'(y,-x). This means, we switch x and y and make x negative

What value is missing from the table

Answers

Answer: it think its A

Step-by-step explanation:

what is the product of 4/5 and 6/7

Answers

I believe your answers gonna be 9/14

Janice spent $36 on a cake and had $27 left. What fraction of her money did she spend on the cake?​

Answers

Answer:

25%

Step-by-step explanation:

36-27= 9/36= 0.25 x 100 = 25%

PLS HELP WILL GIVE BRAINLIEST

Malcolm's net worth is $3,475. His liabilities are $7,650.
What is the total
value of his assets?
A.) 3,475
B.) 7,640
C.) 10,005
D.) 11,115

Answers

i think it’s c or d i believe but i’m not 100% sure

The solution is, D.) 11,115 is the total value of his assets.

What is addition?

Addition is a way of combining things and counting them together as one large group. ... Addition in math is a process of combining two or more numbers.

here, we have,

given that,

Malcolm's net worth is $3,475.

His liabilities are $7,650.

now, we have,

the total value of his assets is:

we just have to add them.

$3,475 + $7,650

=11125

Hence, The solution is, D.) 11,115 is the total value of his assets.

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Elise is standing on top of a 48 foot building, and her height to her eye is 5.1 feet. Elise sees her friend, Molly standing on the ground. If Molly is 29.6 feet away from the base of the building and you wanted to find the angle of depression from Elise's eyes to Molly's feet, please write the final form of the equation you would use to determine the angle of depression.
Intitial set up equation:

Final equation (\angle∠ of depression = )

Answers

Answer:

Drip is the only answer

Step-by-step explanation:

Please no links I’ll pick brainliest

Which one is incorrect

Answers

Answer:

the graph because it should go down every 10 minutes not up.

Step-by-step explanation:

Consider a population of people who suffer occasionally from migraine headache. Suppose 62% of those people get some relief from taking ibuprofen (true proportion). To investigate the effectiveness of ibuprofen, a random sample of 100 people is obtained at random from this population. A. (4 pts.) Determine the sampling distribution of sample proportion. Also, find the mean and standard deviation of the sampling distribution.

Answers

Answer:

The sampling distribution of sample proportion is approximately normal, with mean 0.62 and standard deviation 0.0485.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

62% of those people get some relief from taking ibuprofen (true proportion).

This means that [tex]p = 0.62[/tex]

Sample of 100

This means that [tex]n = 100[/tex]

A. (4 pts.) Determine the sampling distribution of sample proportion. Also, find the mean and standard deviation of the sampling distribution.

By the Central Limit Theorem, it is approximately normal with

Mean [tex]\mu = p = 0.62[/tex]

Standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.62*0.38}{100}} = 0.0485[/tex]

HELP ASAP I WILL MARK BRAINLEY

The diagram below shows Cameron's budgeted expenses for a trip he is planning. O $46.08 O 580 O $1,200 O $4,608 CLEAR ALL Cameron has budgeted $240 for meals during his full trip. What is the total budget for the trip?
A $46.08
B $80
C $1,200
D $4,608​

Answers

Answer:

C $1,200

Step-by-step explanation:

The computation of the total budget fro the trip is as follows:

Since it is given that the budgeted amount for meals is $240 i.e. equivalent to 20%

By this information we can easily compute other budgeted expenses

For Lodging

= $240 × 0.32 ÷ 0.20

= $384

For transportation

= $240 × 0.36 ÷ 0.20

=   $432

For Gifts

= $240 × 0.12 ÷ 0.20

= $144

Now the total budget for the trip is

= $384 + $240 + $432 + $144

= $1,200

What is the area of this figure?
6mi
5mi
8mi
square miles

Answers

Answer:

6x5x8=240 square miles ([tex]240^2}[/tex])

On the number line, plot and label all numbers with an absolute value of 32. Where did you place the points?

Answers

Answer:

on 32 and -32

Step-by-step explanation:

please helppppppppppp...... 17 points

Answers

Answer:

x = 24.5

Step-by-step explanation:

the angles form a straight line, and a straight line equals to 180°

=> (5x + 8) + (3x - 24) = 180

=> 8x = 196

=> x = 24.5

Determine the missing length in each right triangle using the Pythagorean theorem. Round the answer to the nearest tenth, if necessary.

Answers

Answer:

answer is 9 yd

Step-by-step explanation:

The missing length in right triangle by using the Pythagorean theorem is,

⇒ 9 yards

What is Pythagoras theorem?

The Pythagoras theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the square of the other two sides.

We have to given that;

In a right triangle,

Hypotenuse = 15 yd

Perpendicular = 12 yd

Hence, By Pythagoras theorem;

Base² = 15² - 12²

Base² = 225 - 144

Base² = 81

Base = √81

Base = 9 yards

Thus, The missing length in right triangle by using the Pythagorean theorem is,

⇒ 9 yards

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When solving the equation below, what step do you need to take to get the variable by itself?


x/−2=19



a.divide by -2



b.add -2



c.multiply by -2



d.multiply by 2

Answers

Answer:

Add -2

Explanation:

X / -2 = 19

19 + 2

= 21

x = 21

Sorry but my answer got deleted because someone reported it trying to get me banned can you please reward me branliest Again

Hey, can someone please help me? I’m pretty sure the answers are B and D but I just wanna make sure.

Answers

Answer:

yes b and d

Step-by-step explanation:

12 + 22 u = PLS HELP

Answers

Answer:

34

Step-by-step explanation:


Write an equation to model the situation

Jack works at a t-shirt store. Jack earns $150 a week plus $2 for every t-shirt (T) that
he sells. If Jack's gross pay at the end of the week is $320, how many t-shirts did he sell?

Answers

Jack sold 85 shirts

The side length of thr hexagon is 16 centimeters,and the length of the digonal shown is 32 centimeters. Charles measured the height of one of trapezoids and found that the height of one of the trapezoids and found that the height was 13.9 centimeters. Find the area of the hexagon.

Answers

Answer:

669cm2

correct question

Charles drew a regular hexagon and divided it into two identical trapezoid , the side length of the hexagon iscoming16cm,the diagonal shown in fig 30 is 32 cm Charles measure the height of one the trapezoid and found that the height was 13.9 cm find the area of the area

Step-by-step explanation:

The side length of the hexagon should be given which is 16 cm

To get the Length the side length makes with the height of the trapezium, Pythagoras theorem is applied to get the base of the triangle

Base = √((16)^2 - (13.9)^2

Base = √62.29

Base = 7.92cm

Since we have gotten the base

Diagonal - the base gives the top length of the trapezium.

32- 7.92- 7.92 = 16.16

The area of the hexagon gives the 2 times of the trapezium.

To find the area of the trapezium

= 1/2 * ( a+b)h

= 1/2* ( 32+ 16.16)* 13.9

= 24.04*13.9

Area of the trapezium = 334.71cm2

= 334.71 * 2

= 669.42cm2

Hope this helps

answer more great answer will get brainliest​

Answers

Answer:

how much he should run t make a homerun

Both table A and Table B below represent linear relationships.



Based on the information in the tables, which statement is true?

Group of answer choices

Both Table A and Table B represent proportional relationships.

Table A represents a proportional relationship but Table B does not.

Neither Table A nor Table B represent a proportional relationship.

Table B represents a proportional relationship but Table A does not.

Answers

Answer:

Both represent a proportional relationship

Step-by-step explanation:

This is because when the independent variable in each table increases, the dependent variable increases as well, making the relationship proportional.

What is the solution of the system?
I need both X and Y

Answers

(1,2) your X is 1, your Y is 2

Round 6,584,003 to the nearest 10,000

Answers

The answer is 6,580,000 :)

The answer is 6,580,000.

I hope this helped! :)

What is the area of the
composite figure below?


A. 29cm squared
B. 163cmc squared
C.388cm squared
D. 720cm squared

Answers

Answer:

D. 720cm squared is the answer

find the opposite of the integer 10​

Answers

-10 will be the answer to your question
-10 will be your answer baby

I WILL GUVE BRAINERLEST AND A LIKE


Jack needs to replace some flooring in
his house.

Answers

Answer:

B

Step-by-step explanation:

i think

For every four female students in a training class, there are two men. There are seven male students. What is the total number of students in cass?

Answers

Answer:

it may be 19 or 20 but I may be wrong

Step-by-step explanation:

sorry if I'm wrong

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