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

2x + y =8 and 4x -2y = 6

Answers

Answer:

x=1.25 and y=-5.5

Step-by-step explanation:

2x+y=-8, 2x=-y-8 or 4x=-2y-16. Plug this value in the second equation, we have - 2y-16-2y=6, y=-5.5. Plugging this in any equation we have, x=1.25

Find the least common multiple (LCM) of 9, 35 and 72

Answers

Answer:

Step-by-step explanation:

Prime factorization of the numbers:

9 = 3 × 3

35 = 5 × 7

72 = 2 × 2 × 2 × 3 × 3

LCM(9, 35, 72)

= 2 × 2 × 2 × 3 × 3 × 5 × 7

= 2520

Bianca bought a pack of rechargeable batteries for
$9.99. If the sales tax on the batteries is 3% and Bianca
pays with $11 cash, how much change will she get back?

Answers

Answer:

$0.71

Step-by-step explanation:

Find the cost with sales tax

9.99(1.03)

= 10.29

Subtract this from 11

11 - 10.29

= 0.71

So, Bianca will get $0.71 back in change

Answer: 0.71 cents

Step-by-step explanation:

9.99x0.03=0.2997

9.99+0.2997=10.2897 rounds to 10.29

11-10.29=0.71

Angle G and D are COMPLEMENTARY. What is the value of angle D if.... ZG - (2x) and 2D-(2x+6) '.​

Answers

Answer:

Step-by-step explanation:

PLEASE HELP ME ASAPPP!!!!!!

Answers

Answer:

2   1/4 inches

Step-by-step explanation:

1/4 per 1 foot so if there are 9 feet it would be 9/4 then converte that to a proper fraction which is 2  1/4

look at pic 10 pts will mark brainilest sh

Answers

Answer:

65in????

Step-by-step explanation:

Ryan has 25 tiles and 12% of them are green. how many tiles are green

Answers

Answer:

208.33. this is it your welcome

Please help me. I am having trouble

Answers

Answer:

area = 41 units²

Step-by-step explanation:

area = (8 x 4) + (3 x 3) = 41 units²

Answer:

53

Step-by-step explanation:

A=s×s 3×3=9A=L×W 4×11(3+8)=4444+9 53

How many pounds is equal to 1.5 Ton(s)?

Answers

Answer:

3000 pounds :)

hope this helped<3

Sun works in a bakery and wants to know how many ounces of flour are in 5 flour sacks. If each sack contains 52 lbs of flour, how much is the total weight of the flour in ounces 1lb = 16 oz

Answers

4,160
5x52 = 260
260x16=4160

If we have 9 candy bars and each student gets 1/3 candy barwith 10 students, how much of a sandwich does each student get? Explain using examples or drawings. PUT AN AWNSER THAT MAKES SENSE IF YOU DONT TYPE IN A AWNSER THAT MAKES SENSE DONT LOOK FOR ANY BRAINLYIEST OR POINTS!!!! AWNSER IT SERIOUSLY!!!!!!!

Answers

Answer:

.......................................... k

Step-by-step explanation:

is 63 even or odd
is 30 even or odd
is 434 even or odd
is 898 even or odd
is 96 even or odd

Answers

c'mon bro you can't be this helpless

odd, even, even, even, even

Answer:

63 is odd

30 is even

434 is even

898 is even

96 is even

Step-by-step explanation:

Any numbers that end in 0, 2, 4, 6, 8 are even.

Any numbers that end in 1, 3, 5, 7, 9 are odd.

Line m passes through the point (1, 2) and has a slope of 2/5 What is the equation of line m in standard form?

Answers

Answer:

5y - 2x = 8

Step-by-step explanation:

First off we have to find the y-intercept with : b = y-mx

[tex]b=2-(\frac{2}{5})(1)[/tex]

[tex]b=\frac{10}{5}-\frac{2}{5}[/tex]

[tex]b=\frac{8}{5}[/tex]

now we have the point slope form

[tex]y=\frac{2}{5}x+\frac{8}{5}[/tex]

Multiply both sides by 5

[tex]5y=2x+8[/tex]

Subtract 2x from both sides

[tex]5y-2x=8[/tex]

What is the width of the juice box?

Answers

the width of the juice box is 4 centimeters

Answer:

3.99928901529

Step-by-step explanation:

multiply 12.5 by 4.5 and you get 56.25 and you divide 225 by 56.25 and you get 3.99928901529

Find the 201st term of the arithmetic sequence with a4= -2 and as = 46

9648
2362
2398
2410

Answers

Answer:

2362 ...........................

A worldwide organization of academics claims that the mean IQ score of its members is 118, with a standard deviation of 17. A randomly selected group of 40 members of this organization is tested, and the results reveal that the mean IQ score in this sample is 115.8. If the organization's claim is correct, what is the probability of having a sample mean of 115.8 or less for a random sample of this size

Answers

Answer:

0.2061 = 20.61% probability of having a sample mean of 115.8 or less for a random sample of this size

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

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.

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.

A worldwide organization of academics claims that the mean IQ score of its members is 118, with a standard deviation of 17.

This means that [tex]\mu = 118, \sigma = 17[/tex]

A randomly selected group of 40 members

This means that [tex]n = 40, s = \frac{17}{\sqrt{40}} = 2.6879[/tex]

What is the probability of having a sample mean of 115.8 or less for a random sample of this size?

This is the pvalue of Z when X = 115.8.

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

By the Central Limit Theorem

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

[tex]Z = \frac{115.8 - 118}{2.6879}[/tex]

[tex]Z = -0.82[/tex]

[tex]Z = -0.82[/tex] has a pvalue of 0.2061

0.2061 = 20.61% probability of having a sample mean of 115.8 or less for a random sample of this size

Convert 468 inches to yards. Choose the words and numbers to complete the statements.

An inch is
smaller
than a yard, so
multiply
the number of inches by
3
to find the number of yards. Therefore, 468 inches is equal to
Choose...
yards.

Answers

Answer:

smaller, divide, 12, and 39 yards

Step-by-step explanation:

An inch is smaller than a yard, so multiply the number of inches by 3 to find the number of yards.

What is a unit conversion?

Unit conversion is the process of converting a measurement from one unit of measurement to another equivalent unit of measurement. For example, converting a measurement from meters to centimeters, or from pounds to kilograms.

An inch is smaller than a yard, so multiply the number of inches by 3 to find the number of yards.

Unit conversion is important in many fields, including science, engineering, construction, and even everyday life. For example, in science and engineering, it is common to work with different units of measurement, and converting between them is essential for accurate calculations and analysis.

Therefore, 468 inches is equal to 13 yards.

To know more about unit conversion follow

https://brainly.com/question/97386

#SPJ3

My cousin made 50 muffins and brought 3/5 of them to work how many did she leave at home?

Answers

Answer:

20

Step-by-step explanation:

To find how many she took to work you do (3/5) * 50 which is equal to 30

That means she took 30 to work leaving 20 muffins left at home.

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

Jared can choose to go to the
movies or to go to the gym. He
can ride the subway, walk, or
drive. Create a list to represent
the various options Jared has.

a. 4
b. 6
c. 8
d. 2

Answers

The correct answer is letter D

please help me, i will mark brainliest
The seventh grade class is putting on a talent show to raise money for a class trip. It costs $500 to rent the banquet hall they are planning on using. If they charge $15 per ticket, how many tickets do they need to sell in order to raise at least $1000?
Part A
The variable in this problem will represent the number of:
A- students
B- tickets
C- parents
D- money
Part B
​Choose the correct inequality to represent the story problem:
A- 15x+500=1000
B- 15x-500≥1000
C- 15x+1000≥500
D- 15x-500≤1000
​ Part C
How many tickets do they need to sell? (Write your answer as an inequality)

Answers

Answer:

B-Tickets

B-15x-500≥1000

C-x≥100

Step-by-step explanation:

X is the variable because you need to find how many tickets need to be sold

The answer is B  because they need to raise $1000 or more

15x-500≥1000 (add 500 to both sides)

15x≥1500

x≥100

Equations from Graphs
Which is the equation of the given line in point-
Please help me

Answers

Answer:

A. y = -x + 8

Step-by-step explanation:

y = mx + c

m = [tex]\frac{y2 - y1}{x2 - x1}[/tex] = [tex]\frac{0 - 8}{8 - 0}[/tex] = -1

c = 8

=> The equation will be y = -1x + 8 or y = -x + 8.

A bus travels for 22 minutes from Greensburg to Pleasant Valley. Then it travels 16 minutes from Pleasant Valley to Red Mill. How many minutes does it travel?​

Answers

Answer:

22 + 16 = 38

Step-by-step explanation:

I hope you have a good day

Using the distributive property, an expression equivalent to 48 + 30 is
5 (6 + 8).
(6) (8) + (3) (10).
(3) (16) + (6) (5).
6 (8 + 5).

Answers

Answer:

d. 6(8+5)

Step-by-step explanation:

First you distribute the 6 to the 8 which gets you 48 and then you distribute the 6 to the 5 to get 30

so you would get 48+30

therefore, d is true

Answer: (6) (8) + (3) (10) and (3) (16) + (6) (5) and 6 (8 + 5) all of them is the same answer as 48+30=78

Step-by-step explanation: Hope this help:D

Mcm de 12 21 63
Encontrar el resultado

Answers

Answer:

Lo mcm es 252.

Step-by-step explanation:

El objetivo de esta queston es encontrar el mínimo multiplo comun de estes tres numeros.

Para eso, factoramos estes numeros en valores primos, e despues multiplicamos estos factores.

12 21 63

12 - 21 - 63|2

6 - 21 - 63|2

3 - 21 - 63|3

1 - 7 - 21|3

1 - 7 - 7|7

1 - 1 - 1

2*2*3*3*7 = 252

Lo mcm es 252.

Helpppppp plsssssss


Will give brainly

Answers

Answer:

12 sq cm

Step-by-step explanation:

Area of rectangular pyramid = Area of base which is square + 4 times the area of one triangle.

[tex] = {2}^{2} + 4( \frac{1}{2} \times 2 \times 2) \\ \\ = 4 + 4(2) \\ \\ = 4 + 8 \\ \\ = 12 \: {cm}^{2} [/tex]

If AD is the perpendicular bisector of EB, find each measure.

Answers

Answer:

look at the picture

Step-by-step explanation:

I'm not sure about the value of x but I believe it is -23

Help giving brainliest please help

Answers

Answer:

C. The mode of the number of miles Ian skated in July is less than the mode of the number of miles Ian skated in August.

Step-by-step explanation:

A. is not correct because the least amount he skated in July was 1 which is not greater than the least amount In August, 5

B. is  not correct because the median number for July was 8 which is not greater than the median of August, 10

C. is correct because 8 is the most common number in July which is less than 10, the most common number in August.

D. is not correct because the range in July is 14 (15-1=14) which is not less than the range in August, 8 (13-5=8)

In ΔOPQ, o = 100 inches, q = 550 inches and ∠Q=67°. Find all possible values of ∠O, to the nearest degree.

Answers

Answer:

10

Step-by-step explanation:

Round 803.137 to the nearest hundredths place.

Answers

Answer:

803.14

Step-by-step explanation:

The number in the hundredths place of the original question is the 3 after the decimal place. The number next to it is a 7, which is higher than 5 so that means you will round up. The 3 then becomes 4 and you drop the 7 completely.

Answer:

803.14

Step-by-step explanation:

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