An engineer traveled 150 mi by car and then an additional 630 mi by plane. The rate of the plane was three times the rate of the car. The total trip took 8 h. Find the rate of the car.

Answers

Answer 1

Answer:

Step-by-step explanation:

150 mile by car            x mph

630 mile by plane      3x mph

Total travel time equal 8 hours

    150 / x     mile / (mile / hour)   = hour

    630 / 3x  mile / (mile / hour)   = hour

    150/x + 630/3x  = 8 hours

    450/3x + 630/3x = 8 hours

    450  + 630  = 8(3x)  = 24x

         1080  =  24x

             45  =  x    the rate of the car is 45 mph


Related Questions

Find m Measure of angle A =

Answers

Answer:

a = 104

Step-by-step explanation:

a = 104 because it is an inscribed angle with an arc of 208 degrees

9 ≥ 3b can someone help me out please?

Answers

Answer: b≤3

Step-by-step explanation:

Answer:

3 ≥ b

Step-by-step explanation:

You need to work this out like an algebraic equation

So think of it like this...

9 = 3b

9/3 = 3b/3

3=b

Add the symbol back into the equation

And you get: 3 ≥ b

HELPP ME IM FAILING IN MATH

Answers

Answer:

-2, 4

Step-by-step explanation:

a parallelogram is a shape that's lines will never cross, putting the 4th plot there would make that true

Answer:

Plot (-3,5)

I hope this is right ; -;

GPA vs. IQ
Predict the GPA for someone with an IQ of 100.
tu
4
35
y = 0.04% -0,8
3
.
25
GPA
2
15
1
05
20
40
80
100
120
60
IQ

Answers

Pretty sure its 3.2.......

Answer:

3

Step-by-step explanation:

edge 2021

The diameter of a cake is 7.8 inches. What is the area of the cake?

Answers

A = πr^2
The radius is half of the diameter.
r = 7.8 / 2
r = 3.9

A = π(3.9)^2
A ≈ 47.78

Answer:

A = 12.25 sq inches

Step-by-step explanation:

A = (7.8/2)²π

A = 3.9²π

A = 12.25 sq inches

Jon makes a map of his neighborhood for a presentation. The scale of his map is 1 inch:125 feet, however Jon realizes that his map is far too small. He decides to make his map 5 times as large. What would be the new scale to the larger map?

Answers

500 ft 125x 4 your welcome

One school bus can hold 46 students. There are 29 students in each of the 5 fifth-grade classes. How many buses will they need in order to transport everyone to the zoo for a field trip?

Answers

29x 5 is 145 students
Divide by 46 answer is 4 buses

Answer:

4

Step-by-step explanation:

29x5=145

= 145 (divided) 46= 3.15...

4 buses

Fast Auto Service provides oil and lube service for cars. It is known that the mean time taken for oil and lube service at this garage is 15 minutes per car and the standard deviation is 2.4 minutes. The management wants to promote the business by guaranteeing a maximum waiting time for its customers. If a customer's car is not serviced within that period, the customer will receive a 50% discount on the charges. The company wants to limit this discount to at most 8% of the customers. What should the maximum guaranteed waiting time be

Answers

Answer:

The maximum guaranteed waiting time should be of 18.37 minutes.

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.

It is known that the mean time taken for oil and lube service at this garage is 15 minutes per car and the standard deviation is 2.4 minutes.

This means that [tex]\mu = 15, \sigma = 2.4[/tex]

The company wants to limit this discount to at most 8% of the customers. What should the maximum guaranteed waiting time be?

The 100 - 8 = 92th percentile, which is X when Z has a pvalue of 0.92. So X when Z = 1.405.

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

[tex]1.405 = \frac{X - 15}{2.4}[/tex]

[tex]X - 15 = 1.405*2.4[/tex]

[tex]X = 18.37[/tex]

The maximum guaranteed waiting time should be of 18.37 minutes.

please solve below !!

Answers

Answer:

square root of 113 or 10.6

Step-by-step explanation:

7^2+ 8^2= C

49+64=C

113=C

square root of 113 OR 10.6

Hope this helped :)

Answer:

The answer is: 10.63

Step-by-step explanation:

7^2+8^2=c^2

113=c^2

sqrt113

10.63

can i get brainliest

which exprssion can we use to convert 40 ounces to pouds

Answers

Answer:

2.5

Step-by-step explanation:

40 ounces = 2 12 pounds

So, 40 ounces = 4016 = 2 12 or 2.5 pounds.

Hope this helps and sorry if it doesn't

Can I get brainliest

To covert any value in ounces to pounds, just multiply the value in ounces by the conversion factor.

Hope this helps :)

5) True or False: Absolute Value can never be negative * O True False​

Answers

Answer:

True

Step-by-step explanation:

Absolute value tells the distance a number is from 0.

[tex]|7|=7[/tex] because 7 is 7 units away from 0.

[tex]|-13|=13[/tex] because -13 is 13 units away from 0.

[tex]|0|=0[/tex] because 0 is 0 units away from 0

Absolute value always produces a number greater than or equal to 0, never negative.

someone help me answer this

Answers

Answer:

51cm is the answer.

Step-by-step explanation:

a = ?

b = 68cm

c = 85cm

According to the Pythagoras theorem,

a² + b² = c²

a² + 68² = 85²

a² + 4624 = 7225

a² = 7225 - 4624

a² = 2601

a = 51cm

∴ the porch is 51cm tall.

Solve for x
A) -12
B) 8
C) 5
D) 7

Answers

Answer:

B. 8

Step-by-step explanation:

9x + 1 = 8x + 9

x = 8

Is the first one correct and what are the ages? Thanks

Answers

Answer:

a = 30°

Step-by-step explanation:

We need to find the value of a.

We know that, a straight line makes an angle of 180°.

In this case,

a+3a+2a = 180

6a = 180

a = 30°

So, the value of a is equal to 30°.

Tom received $250 in tips, working as a waiter for 5 days. How much could he have gotten in tips each of the 5 days he worked?​

Answers

Answer:

$50.

Step-by-step explanation:

To find your answer, divide 250 by 5.

250/5 = 50.

You can use inverse operation to check your answer.

50⋅5 = 250.

Therefore, Tom got $50 each day.

10+(2x3)^2 divied by 4x1/2^3

Answers

Answer:

11.125

Step-by-step explanation:

Answer:

92

Step-by-step explanation:

please mark this answer as brainlest

What is the length from Alaska to Chicago times 5 divided by 3?

Answers

Answer:

14302 miles

Step-by-step explanation:

from alaska to chicago it is 2861 mi.

2861 times 5

that divdied by three is 14302

Solve for x
A) 2
B) -10
C) 7
D) -3

Answers

X is -10
I hope it will help u
Brainliest pls

Answer:

-10

Step-by-step explanation:

corresponding angles.

hope the image attached helps

thank you

(1/6)^p = 36^3 x 6^18. What is the value of p?

Answers

Answer:

Step-by-step explanation:

(1/6)^p=36^3×6^18

[tex](\frac{1}{6}) ^p=(6^2)^3 \times 6^{18}\\\frac{1}{6^p} =6^{2 \times 3} \times 6^ {18}\\6^{-p}=6^6 \times 6^{18}\\=6^{6+18}\\=6^{24}\\-p=24\\p=-24[/tex]

What happens when you add two numbers that are opposites?
Example:
[tex] - 33 + - 37[/tex]

Answers

-70
Some actually if it were y=mx+b then it would be the opposite. It would turn positive but I don’t think this one turns like that. I think it’s just -70

Which electrician would be cheaper to hire for 3 hours? 8 hours? Why

Electrician A charges $35 per hour and a $100 consultation fee.
Electrician B charges $40 per hour and a $70 consultation fee.

Answers

Answer:

3 hour: electrician B because you would save $15

8 hour: electrician A because you would save $10

Step-by-step explanation:

35×3+100=205 vs 40×3+70=190

b is 15 dollars less

35×8+100=380 vs 40×3+70=390

a is 10 dollars less

What is the quotient? 2y2-6y-20/4y+12

Answers

Answer:

last 4rd

Step-by-step explanation:

Cory has $24 more than twice as much as Stan. Together they have $150. How much money dose each have ?

Answers

Answer:

99 and 51

Step-by-step explanation:

The problem would be shown as:
2x+24 + x = 150

x is the amount of money Stan has.

Do the math and X=42. Then Plug everything in:

The answer is Cory has $108, Stan has $42.

Madison is preparing rice for 10 dinner guests. Each guest
eats Ģ of a cup of rice.
How many cups of rice does Madison need?

Answers

Answer:

door Sai so Lally shall icb kiddo do you have any questions

Step-by-step explanation:

ok CV bjf

Marco is turning the expression (x-4)^2 into a trinomial. He writes down what is shown below. What is his error?

Answers

(x-4)(x-4)
=x^2-4x-4x+16
=x^2-8x+16
it’s +16, not negative. he forgot that when you add two negatives together, it becomes positive.

Answer:

Step-by-step explanation:

first, let's solve the equation ourselves.

(x-4)^2= (x-4)(x-4)= x^2−8x+16

now, we can see what's different about the two.

we can say that Marco's answer had the number 16 as a negative, when it was supposed to be positive. Marco wrote the incorrect sign.

Can Yall Help please lol. also this is for 20 points.
which set of numbers does not form a right triangle? a.)14,48,50 b.) 15,20,25 c.) 21,28,35 d,) 27,35,46

Answers

Answer:

maybe b?

Step-by-step explanation:

A cause 50 cant make a right triangle but b can

Consider the right triangle shown. Which statements are correct?

Answers

C, D, and E

hope this helps

Which of the following lists of fractions are in order from least to greatest? Select TWO that apply.
A.
1/4 2/3 3/10

B.
3/5 7/10 5/6

C.
2/5 5/8 3/4

D.
3/8 9/10 7/12


HELP

Answers

Answer:

i think its a 1/4 then 2/3 and 3/10

I’m sure it is 1/4 2/3 3/10 I don’t know the second though. Have a great day good luck


Which one of the following U.S. customary units is closest in volume to I liter?

Answers

Answer:

c

Step-by-step explanation:

Quart is one of the following U.S. customary units is closest in volume to 1 liter. Option D is correct.

What is volume?

The term "volume" refers to the amount of three-dimensional space taken up by an item or a closed surface. It is denoted by V and its SI unit is in cubic cm.

The relation between the quart and the liter is found as;

1 quarts = 0.94635295 liters

The value in liter is approximately equal to 1. Quart is one of the following U.S. customary units is closest in volume to 1 liter.

Hence,option D is correct.

To learn more about the volume refer:

https://brainly.com/question/1578538

#SPJ2

PLEASE I NEED HELP
If f(x) = x/2 -3 and g(x) = 4x2+ x - 4, find (f+g)(x). A. 4x2 + 3/2x-7 B. 4x2 + 1/2x - 1 C. 6x2 - 7 D. 4x2 + 3/2x -1​

Answers

Answer:

A.

[tex]4x {}^{2} + \frac{3}{2} x - 7[/tex]

Step-by-step explanation:

Add theses functions

[tex] \frac{x}{2} - 3 + 4 {x}^{2} + x - 4 \\ 4 {x}^{2} + \frac{3}{2} x - 7[/tex]

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