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

AB = [ 4 ]. Find A if B=(22]​

Answers

Answer:

A = 2/11

Step-by-step explanation:

22A= 4

(22A)/22 = 4/22

A = 4/22 = 2/11

What could be added to each expression to make it a perfect square? Then
write the perfect square factor.
Expression 1*
2 poi
x2 + 12x

Answers

Answer:

Step-by-step explanation:

just check this 2x²+3x-5=0

Which property of quadrilaterals inscribed in a circle can be used to find value of X in the figure below?

A. The difference between an opposite pair of angles 180°.

B. The difference between an opposite a pair of angles is 0°.

C. The some of an opposite pair of angles is 180°.

D. The sum of an opposite pair of angles is 360°.

Answers

Answer: that’s the answer c

Step-by-step explanation:

Bc of the work you put in

-9,7 with a rotation of 180°

Answers

Answer:

(9,-7)

Step-by-step explanation:

Anytime you rotate a coordinate point around the coordinate plane at 180°, each coordinate changes from (x,y) to '(-x, -y). This means they will become the opposite of their original number.

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

Brainliest for correct answer.

Answers

Answer:

a

Step-by-step explanation:

Which of the following fractions is closest to 0? 1 point 05/12 0 2/3 O 5/6 O 3/4​

Answers

Answer:

I think 2/3

Step-by-step explanation:

sorry if I'm wrong

Answer:

5/12

Step-by-step explanation:

All the others are more than 1/2. This is the only one that is less than half.

A clothing salesperson earns a 10% commission on a $65
sale. How much is the commission?

Answers

10% of $65 is 0.1*$65 so $6.50

A shopping center includes a grocery store and a drug store. One​ afternoon, a total of 200 people visited the shopping​ center, and 121 shopped at the grocery​ store, 91 shopped at the drug​ store, and 33 shopped at both businesses. ​a) How many people shopped at the grocery store or the drug​ store? ​b) How many people shopped at neither the grocery store nor the drug​ store?

Answers

9514 1404 393

Answer:

  a) 179

  b) 21

Step-by-step explanation:

When making a Venn diagram for a problem like this, it often works well to fill in the "both" quantity first. Then that is subtracted from the number for grocery to find "grocery only", and from the number for drug store to find "drug store only." The sum of the numbers inside the circles (88+33+58) is the number who shopped at the grocery or drug store. The number who shopped at neither is the difference between this number and the total number of shoppers (200-179).

Suppose the linear regression line y = 3.125x – 23.115 predicts a lemonade stand's profits based on the number of cups sold. If x represents the number of cups sold, and y represents the lemonade stand's profits in dollars, about how much can the lemonade stand expect in profits if it sells 225 cups?

Answers

Answer:

680

Step-by-step explanation:

Complete the table. Round your answers to two decimal places if necessary.

Answers

cos(225)= -0.71 (2.dp)
tan(-150)= 0.58 (2.dp)

giving 10 brainlist to whoever gets it RIGHT​

Answers

0.001276 is the correct answer!10 x 10 x 10 x 10 x 10 = 100,000127.6 ÷ 100,000 = 0.001276Please let me know if I am wrong.

Answer:

.001276

Step-by-step explanation:

127.6 ÷ 10^5

Dividing by 10^5 means we are moving the decimal 5 places to the left

We need to add zeros in front of the number to move it to the left

00127.6

Now move it 5 places

.001276

Find the value of x in the triangle shown below x 42 106

Answers

Answer:

Step-by-step explanation:

where is the picture?

Answer:

you need a picture lol

Step-by-step explanation:

What is the volume of a hemisphere with a radius of 3.1 in, rounded to the nearest tenth of a cubic inch?

Answers

The volume of a hemisphere with a radius of 3.1 in. is 62.39 cubic inch

What is a hemisphere?

The Hemisphere is the half part of a sphere.

What is the volume of a hemisphere?

The volume of a hemisphere = (2/3)πr³ cubic units where r is the radius

Given radius is 3.1 in.

volume =  (2/3)π(3.1)³

            =62.39 cubic inch

Thus the volume of a hemisphere with a radius of 3.1 in. is 62.39 cubic inch

To know more about volume of a hemisphere click here

https://brainly.com/question/23178590

#SPJ2

pls tell the answer pls

Answers

Answer:

The correct answer is C

Step-by-step explanation:

It’s C I’m pretty sure

Justice earned $358.60 this pay period for working 22 hours. How much will he earn if he works 30 hours for the same hourly rate.

Answers

Answer:

489

Step-by-step explanation:

I took 358.60 divided by 22 to find how much they were making per hour which is 16.3 therefore if I took 16.3 times 30 I would get my answer which is 489.

Answer:

$489

Step-by-step explanation:

Justice earns $16.30 per hour (358.6 ÷ 22)

16.3 x 30 = 489

Mr. Duval paid $2,730 to rent a home for 6 months. Ms. Phee paid $5,496 to rent a home for 1 year. Which of the following is true?

Answers

This question is incomplete add context and I’ll be able to answer it probably

Please help me im gonna fail.

Answers

Answer:

see below

Step-by-step explanation:

if the radius is 21, then the height is 24  (21 is 3 less than 24)

[tex]v=\pi r^{2} h\\v=\pi 21^{2} (24)\\v=\pi 441*24\\V=\pi 10.584\\v=3.14(10.584)\\V=33234[/tex]

the closest option would be the 33264

2. Change the fraction to a decimal.
a. 6/100
b. 43/100
c. 3/10
d. 4 23/4,000
How would I do this?

Answers

Answer:

A

Step-by-step explanation:

Answer:

a-0.06

b-0.43

c-0.3

d-I don't know what u were asking 423/4,000 is 0.10575

Step-by-step explanation:

Finding decimals from fractions is easy just divide the top number by the bottom a fraction sign is the same as a division sign I don't know why you use the other one with the dots on both sides instead of just always using this one.

Please Help!!!!!!
I need the answer ASAP!

Answers

Bro use Socratic that will help you.

-4(2x+9)+3x=6-4(x-3)

Answers

Answer x= -54

Hope this helps

The answer x=−54
Hope it helps

HELP!!! Name the space figure you can form from the net.

Answers

I believe it is a triangular prism

Jeremiah has a bag with 5 red marbles 8 yellow marbles 4 blue marbles and 3 green marbles what is the probability as a percent that he will not pick a green marble​

Answers

Answer:

85%

Step-by-step explanation:

P(not green) = 17/20 which equals 85%


If the diameter of a circle is 8, then what is its area and its circumference?

Answers

Answer:

A≈50.27

Diameter = 8

Using the formulas

A=πr2

d=2r

Solving forA

A=1

4πd2=1

4·π·82≈50.26548

Answer:

I think it would be 50.24

Step-by-step explanation:

Here's what I did:

1. Diameter = 8 so radius = 4

2. 4 to the second power is 16

3. 16 × 3.14 = 50.24

I'm not sure if what I did is correct, but I hope this helps! :)

i need help please i will mark u brill

Answers

Step-by-step explanation:

25 - ( 9 - 4.3 ) = 25 - 5.3 = 20.7 ●

Answer:

false

Step-by-step explanation:

rewrite this with 4.3 in place of y first

25 - (9 - 4.3) = 20.7

    25 - (4.7) = 20.7

      25 - 4.7 = 20.7

      25 - 4.7 = 20.3

           20.3 ≠ 20.7

false

hope this helped! good luck matey

-cheesetoasty

What is the recursive rule for an=4n-3

Answers

Answer:

1

Step-by-step explanation:

n=1

4×1=4

4-3=1

If you were flipping a coin, and needed to get 2 heads in a row, what is the probability of getting two heads in a row. Use your probability tree to help. /

Answers

Answer:

1/4

Step-by-step explanation:

If you flip it twice the possible outcomes are

H   H

H   T

T    H

T    T

The chances of you getting H H is 1 / 4.   If you flip it more than twice, the probability changes. Let's try three times. That gives you 8 different choices.

H   H    H     *

H   H    T      *

H   T    H

H   T   T

T   H   H        *

T   H   T    

T   T    H

T   T    T

What this gives is 3 chances out of 8 which is 0.375 and that's better than 0.25

Four would give you an even better result, There are 16 ways of flipping a coin 4 times. The successful results are

H H H H

H H H T

H H T T

H H T H

T H H T

T T H H

H T H H

I'm sure there might be a couple of more, but already you have done better than 3/8

7/16 is almost 1/2

7/16 = 0.4375

I think however that the answer you should submit is 1/4

A 5 meter ladder is positioned 3.2 meters away from a building. A) draw a diagram to represent the information.b) calculate how far up the building the ladder is c) write the root of 14.6 to 2 decimal place. Show a picture of the working out

Answers

Answer:i belive that b is the answer from what i got information wise

Step-by-step explanation:

the equation for this line of best fit is shown below, where d is the distance in miles and f is the fare in dollars.

f = 0.1d + 100



Which of these is a correct interpretation of the slope of this line?



A.
The fare increases $10 for every additional mile

B.
The fare increases $0.10 for every additional 100 miles

C.
The fare increase $0.10 for every additional mile

Answers

Answer:

C

Step-by-step explanation:

the .1 is how much it increases per mile

so .10 a mile increase

What is one-fifth of a number, x, increased by 24 is equal to eight tenths of the same number, x.

Answers

Answer:

x = 40

Step-by-step explanation:

(x × [tex]\frac{1}{5}[/tex] )+ 24 = [tex]\frac{8}{10}[/tex] × x

0.2x + 24 = 0.8x

0.2x - 0.2x + 24 = 0.8x - 0.2x

24 = 0.6x

0.6x = 24

0.6x × [tex]1\frac{2}{3}[/tex] = 24 × [tex]1\frac{2}{3}[/tex]

x = 40

Answer:

x=40

Step-by-step explanation:

1/5x+24=8/10x

give like denominators

2/10x+24=8/10x

subtract 2/10x on both sides

24=6/10x

divide 24 by 6/10, or multiply by 10/6

x=240/6

refine/simplify

x=40

Other Questions
May someone please help me?? WILL MARK BRAINLIEST!!! PLEASE ANSWER!!! WRONG ANSWERS JUST FOR POINTS WILL BE REPORTED!!!!!!!!!!!!!! The yellow rectangle area is 25% (or 1/4) the area of the blue rhombus. The height (H) of the yellow rectangle is twice as long as the base of the yellow rectangle. Calculate the required height (H) of the yellow rectangle. Round to nearest one decimal (tenths) place. (Precision 00.0) The people of Tangerine rely on their plants to make money and live. In the freeze, many families are devastated by the damage done to their plants. Why are the people in Lake Windsor Downs happy about the freeze? Find p(4) for the function.2. p(x) = 7x2 - 9x + 10 guess what i found Prophet Muhammed in the Bible if you read the one that all lovely its says muhammedim I'm is a plural of respect for example in Hebrew Eloah means god and Eloahim means respect for good so I'm is respect and it say Muhammed so respect for Muhammed Last one, Estimate the perimeter and the area of the shaded figureShow how u got it please. Bacteria that are resistant to more than one antibiotic are called superbugs. Compare the control and antibiotic data from the three farms and select all the true statements. A: Another superbug was created by using the same method of giving antibiotics to chickens as Monita Farms. B: Our experiment was a failure. VIC: The data for the control farm shows that not administering antibiotics helps to prevent superbug creation. D: Natural selection is not a possible cause of the superbug creation on Monita Farms. E: There was no reason to test the control solution. The rectangular prism below has a width of 5cm a length of 7cm and a height of 4 cm what is the surface area of this rectangular prism The scale on a map states that 1 centimeter corresponds to 20 kilometers. On the map, two cities are 0.3 cm apart. Find the actual distance. Why do multicellular organisms perform mitosis and meiosis ? Describe the role of DNA helicase, DNA polymerase and DNA ligase in DNA replication. What do the seeds from a seedball do? 16. A type of card that allows the card holder to spend a certain amount of money without ever having to pay it back? The Great Wall of China was begun in the third century BCE, but most of the construction of the wall we see today was built during the Ming Dynasty from A. eleventh century CE to twelfth century CE. B. from sixteenth century CE to eighteenth century CE.C. tenth century CE to thirteenth century CE.D. fourteenth century CE to seventeenth century CE. Simplify the following expression: 3n-6+7y+5n what ive learned about heat,sound and light Explain how you can decide whether the equation represents the graph. What can you do to the equation to make it a better fit for the graph? What equation would fit better? Melvin wrote the equation = ( + 3)( + 1)( 2) 2 to represent the graph at right. If you were a meteorologist, what information would you like to know to predict if a tornado were to form? Explain why that information would help you. I need this equation in standard form