Karim is driving his car at a constant speed. At 11:00 A.M., the mileage reader is 66,750 miles. At 3:00 P.M., the mileage reader is 67,015 miles.
What is his speed in miles per
hour? Explain.

Answers

Answer 1

Answer:

His speed is 66.25 miles/hour

Step-by-step explanation:

The rule of the constant speed is:

Speed = Distance ÷ Time

∵ Karim starts his journey at 11:00 a.m. and finishes at 3:00 p.m.

→ Count the hours from 11: 00 a.m. to 3:00 p.m.

∴ He takes 4 hours ⇒ (3 + 12 - 11)

T = 4 hours

∵ The mileage reader is 66,750 miles at 11:00 a.m.

∵ The mileage reader is 67,015 miles at 3:00 p.m.

→ The distance that Karim is driving = the difference between them

∴ The distance that karim is driving = 67,015 - 66,750

D = 265 miles

→ Substitute the values of D and T in the rule above

∵ S = 265 ÷ 4

∴ S = 66.25 miles/hour

His speed is 66.25 miles/hour


Related Questions

a=-13y solve for y
This is all the question says so idk

Answers

I think that y=-1/13x


Line t passes through points (9, 10) and (3, 3). Line u is parallel to line t. What is the slope of
line u?

Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Answers

Step-by-step explanation:

a parallel line has the same slope. that is the actual meaning of "parallel".

so we need to find the slope of line t to get our answer.

remember, the slope is the ratio " y coordinate change / x coordinate change" when going from one point on the line to another.

so, here we have 2 points (9, 10) and (3, 3).

going from the first to the second we see

x changes by -6 (from 9 to 3).

y changes by -7 (from 10 to 3).

the slope is then -7/-6 = 7/6.

and therefore, the slope of u is also 7/6.

What is the slope for the equation of the line passing through the points (20,-32) and (10, -15)?​

Answers

Answer:

-17/10

Step-by-step Explanation :

what is the constant of posprtainality in the equation y=0.41

Answers

Answer:

The constant of proportionality in the equation y=0.41 is 0.41

Step-by-step explanation:

Gm!!! everyone (who see's this)

Answers

Answer:

GOODMORNING!!!

Step-by-step explanation:

I pray you, have a wonderful day!!  

Which statement below best applies to the following expression?

Answers

Answer:

A.

Step-by-step explanation:

Radical expressions can only be simplified if their radicands are identical.

Which of these numbers is irrational?
O A. v3
OB. 0.25
O C. 1
O D. V9

Answers

Answer:

A

Step-by-step explanation:

the square root of 3 is an irrational number.

PLZ HELP....!

A pair of parallel lines is cut by a transversal: A pair of parallel lines is cut by a transversal. The interior angle made on the left by the intersection of the upper parallel line and the transversal is divided into 2 parts by a slanting line. One part of this angle is labeled as x, and the other part is labeled as 35 degrees. The interior angle made on the right by the intersection of the lower parallel line and the transversal is labeled as 85 degrees. What is the measure of angle x?

A) 50 degrees

B) 55 degrees

C) 85 degrees

D) 125 degrees

Answers

Answer:

the answer is a)50 degree

Step-by-step explanation:

as alternate angle so

x+35=85

so x=85-35

x=50 degree

thanks

Answer:

50

Step-by-step explanation:

ʕ•ᴥ•ʔ hope this helps

Which expression is equivalent to 3^0x3

Answers

Hey there!

3^0 * 3

= 1 * 3

= 1 + 1 + 1

= 2 + 1

= 3


Therefore, your answer is: 3


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

What is the equation of the line that passes through the point (-1,-5) and has a
slope of -1?

Answers

answer: -5=-1x+b

explanation: put this in the form of y=mx+b form. m is the slope of the line so it’s -1. b is the y intercept so that means the answer must be -5 from the set of points you provided. hope that helps

Answer:

5 x - 6 y - 8 = 0

Step-by-step explanation:

Find the missing side lengths. Leave your answers as radicals in simpler form. Please explain it

Answers

Answer:

Step-by-step explanation:

bobby's cat runs x mph. bobby's dog runs twice as fast as his cat. if the cat and the dog start running away from each other, how far away from each other will they be after 30 minutes

Answers

Answer:

They will be 0.5x miles away from each other.

Calculation of the distance:

Since Bobby's cat runs x mph. Bobby's dog runs twice as fast as his cat.

So here the speed of the dog should be 2x

Now we know that

Here distance of cat should be x of 30 minutes or half hour = 0.5x miles

And, Distance of dog should be 2x of 0.5 = x miles

So, the difference should be

= x - 0.5

= 0.5x miles

hence, They will be 0.5x miles away from each other.

Step-by-step explanation:

Answer:

1.5x miles, because you already know that the cat's speed is 0.5x miles, and the dog is x miles, so when you add it together, you get 1.5x miles

In a high school of 1000 students, 355 are playing sports and 233 are in a school band. If there are 175 students playing sports and are in a school band, how many are in neither activity?

Answers

Answer:

237

Step-by-step explanation:

1000 minus 355= 645

645 minus 233= 412

412 minus 175= 237

Answer:

237 students

Step-by-step explanation:

355 are playing sports

233 are in a school band.

175 in both

355 + 233 + 175 = 763

763 students are in sports, band or both

1000 - 763 = 237

237 students aren't participating in neither.

hope this helps :)

Need help with geometric series'!
Please include a step by step explanation.

Answers

Answer:

[tex] - 13107[/tex]

Step-by-step explanation:

We would like to evaluate the following Geometric Series ,

[tex]\displaystyle\longrightarrow \sum _{n=1}^8 (-4)^{n-1 }[/tex]

In a geometric series, a common number is multiplied to the previous term in order to find the next term . And that common number is called common ratio (r) .

As we know that ,

[tex]\displaystyle\longrightarrow \sum_{x = 1}^n f(x) = f(1) + f(2) + \dots + f(n) [/tex]

So , we can write the series as ,

[tex]\displaystyle\longrightarrow (-4)^{1-1}+(-4)^{2-1}+\dots +(-4)^{8-1} [/tex]

Simplify,

[tex]\displaystyle\longrightarrow (-4)^0 + (-4)^1+(-4)^2+\dots +(-4)^7 [/tex]

We can find the common ratio by dividing and successive term by its preceding term , as ;

[tex]\displaystyle\longrightarrow r =\dfrac{-4}{1}=-4 [/tex]

Again , here ;

First term = a = [tex](-4)^0=1[/tex]Common ratio = [tex]-4[/tex]number of terms (n) = 8

And we can find the sum of geometric series using the formula , ( this is used when the value of r is less than 1 , here it is -4 ) .

[tex]\displaystyle\longrightarrow \Bigg[ Sum = \dfrac{a(1-r^n)}{1-r}\Bigg] [/tex]

where the symbols have their usual meaning.

On substituting the respective values, we have;

[tex]\displaystyle \longrightarrow\rm{ Sum }=\dfrac{ 1\{1-(-4)^8\}}{1-(-4)}\\ [/tex]

Simplify ,

[tex]\displaystyle\longrightarrow \rm{Sum} = \dfrac{1-65536}{1+4}\\[/tex]

[tex]\displaystyle\longrightarrow \rm{Sum} = \dfrac{-65535}{5} [/tex]

Simplify by dividing ,

[tex]\displaystyle\longrightarrow \underline{\underline{ \rm{Sum} = -13107}} [/tex]

And we are done !

Find the range of the data. 133,117,152,127,168,000,000

Answers

Answer:

168

Step-by-step explanation:

168  would be the range because the range is the highest number - the lowest number so 168=highest and 000=lowest

so 168-000 or just0=168

here's some extra answers.


The mean=100 rounded up to nearest 100

Mean= the average of the data set.

Median=127

The median is the middle number when the numbers in the data set are sorted least to greatest.

Mode=000 or just 0

The mode is the number that appear the most in the data set and 000 or just 0 appears twice rather than,all the other numbers only appear once.

Minimum=000 or just

The minimum is the lowest number in the data set and as for this one is is 0.

Maximum=168

The maximum is the highest number and the data set and 168 is the highest in this one.

Hope it helps have a great day:)

Which statement correctly describes the relationship between the graph of f(x)=x and the graph of g(x)=f(x)−7 ?

The graph of g(x) is the graph of​​​ f(x) translated 7 units down.

The graph of g(x) is the graph of​ f(x)​ vertically stretched by a factor of 7.

The graph of g(x) is the graph of​​ f(x)​ vertically compressed by a factor of 7.

The graph of g(x) is the graph of f(x) translated 7 units left.

help please

Answers

Answer:

translated down 7 units

Step-by-step explanation:

whenever it is written like this I'm pretty sure it's just translated down it would have to be in parentheses to go left and right

Jasmin is getting a new phone. It is $50 to activate and $15 monthly to keep on.

Please represent this word problem in all other ways. Explain if this is linear or not. Why or why not( HELP!!)

Answers

Answer:

y=15x+50

Step-by-step explanation:

yes this is linear because you are paying 15 dollars every month, with 50 dollars too

Use the grouping method to factor the polynomial below completely.
x3 + 2x2 + 5x + 10
O A. (x2 + 5)(x+5)
O B. (x2 + 5)(x+2)
O C. (x2 + 5)(x+5)
O D. (x2 + 5)(x+2)

Answers

Answer:

(x²+5)(x+2)

simple find the common factor between x³ and 2x² and the cf of 5x and 10

u will end up with these results then^

Kilani and Adrian are starting a nutrition program. Kilani currently consumes 1200 calories a day and will increase that number by 100 calories each day. Adrian currently consumes 3230 calories a day and will decrease that number by 190 each day. They will continue this pattern until they are both consuming the same number of calories per day. In how many days will that be? Be sure to define your variables, write an equation, and answer the question in context.

Answers

Answer:

7 days

Step-by-step explanation:

Let us represent the number of days = a

Kilani currently consumes 1200 calories a day and will increase that number by 100 calories each day.

1200 calories + 100 calories × a

1200 + 100a

Adrian currently consumes 3230 calories a day and will decrease that number by 190 each day.

3230 calories - 190 calories × a

3230 - 190a

The number of days that they would be consuming the same number of calories =

Kilani = Adrian

1200 + 100a = 3230 - 190a

Collect like terms

190a + 100a = 3230 - 1200

290a = 2030

a = 2030/290

a = 7 days

Therefore, the would be consuming the same number of calories in 7 days

Please answer :) much appreciated

Answers

29+m=41
m=12
He received $12

A DVD is regularly $19.99 but is on sale today for $15.99. What percent would you save if you bought the DVD on sale?

Answers

Answer:

the sale price will be 130% off

Step-by-step explanation:


If you claim a dependent and have to pay for child
care while you're at work, you can claim a tax credit of
$780. If you owed $5,638 in federal income taxes, how
much do you owe after claiming that credit?

Answers

Answer:

4858

Step-by-step explanation:

5,638-780=4,858

Make
x
the subject of the formula
3
a
x
+
2
c
=
b
2

Answers

Answer:

x= (2b-2c)/3a

Step-by-step explanation:

3ax+2c=2b

or, 3ax= 2b-2c

Therefore, x= (2b-2c)/3a

Convert 12/25 to percent

Answers

Answer:

48%

Step-by-step explanation: multiply 4 with the numerator and denominator

HELP ASAP THIS IS ABOUT “Multistep Pythagorean Theorem” HELP

Answers

Answer:

8.1

Step-by-step explanation:

The length of the missing side is 8.1 inches. You apply the pythagorean theorem to 5,b,10 and get 5sqrt3. Next, you apply the pythagorean theorem to 3, b, 5sqrt3 to get the square root of 66, which is 8.1, rounded to the nearest tenth.

Answer:

[tex]\displaystyle 8,1[/tex]

Step-by-step explanation:

Use the Pythagorean Theorem twise [first time for the reflexive edge and the second time for the longer leg of the other triangle]:

[tex]\displaystyle a^2 + b^2 = c^2 \\ \\ a^2 + 5^2 = 10^2 \hookrightarrow 100 = 25 + a^2 \hookrightarrow \sqrt{75} = \sqrt{x^2}; 5\sqrt{3}\:[or\:8,6602540378...] = a \\ \\ \\ \\ a^2 + b^2 = c^2 \\ \\ x^2 + 3^2 = 5\sqrt{3}^2 \hookrightarrow 75 = 9 + x^2 \hookrightarrow \sqrt{66} = \sqrt{x^2}; \sqrt{66}\:[or\:8,1240384046...] = x \\ \\ \boxed{\boxed{8,1 \approx x}}[/tex]

I am joyous to assist you at any time.


please answer and show work asap !! due in 30 mins !!

Answers

Answeri got u my boy

Step-by-step explanation:

it is

implifying

4x + 6y + -3 = 0

Reorder the terms:

-3 + 4x + 6y = 0

Solving

-3 + 4x + 6y = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '3' to each side of the equation.

-3 + 4x + 3 + 6y = 0 + 3

Reorder the terms:

-3 + 3 + 4x + 6y = 0 + 3

Combine like terms: -3 + 3 = 0

0 + 4x + 6y = 0 + 3

4x + 6y = 0 + 3

Combine like terms: 0 + 3 = 3

4x + 6y = 3

Add '-6y' to each side of the equation.

4x + 6y + -6y = 3 + -6y

Combine like terms: 6y + -6y = 0

4x + 0 = 3 + -6y

4x = 3 + -6y

Divide each side by '4'.

x = 0.75 + -1.5y

Simplifying

x = 0.75 + -1.5y

The volume of a cone is 1967 cubic feet. Its
radius is 7 feet. Find the height.

Answers

Answer:

38.33 feet.

Step-by-step explanation:

Answer: 38.33ft

Explanation: I looked it up :)

Select all the true statements. Triangle A B C where the measure of angle A is 2 x plus 1 degree, angle B is x degrees, and angle C is x plus 15 degrees. Group of answer choices m∠C = 56 From smallest to largest: ∠B, ∠C, ∠A m∠A = 99 x = 49 (4x + 16) = 180

Answers

Answer:

[tex]B= 41[/tex]; [tex]C = 56[/tex]; [tex]A = 83[/tex]

Step-by-step explanation:

Given

[tex]A = 2x + 1[/tex]

[tex]B = x[/tex]

[tex]C = x + 15[/tex]

Required

Arrange the angles from smallest to largest

First, we need to determine the value of x.

Since, it is a triangle:

[tex]A + B + C = 180[/tex]

Substitute values for A, B and C

[tex]2x + 1+ x + x + 15 = 180[/tex]

Collect Like Terms

[tex]2x + x + x = 180 - 15 -1[/tex]

[tex]4x = 164[/tex]

Solve for x

[tex]x= 164/4[/tex]

[tex]x= 41[/tex]

Solve for A, B and C

[tex]A = 2x + 1[/tex]

[tex]A = 2 * 41 + 1[/tex]

[tex]A = 82 + 1[/tex]

[tex]A = 83[/tex]

[tex]B = x[/tex]

[tex]B= 41[/tex]

[tex]C = x + 15[/tex]

[tex]C = 41 + 15[/tex]

[tex]C = 56[/tex]

From Smallest to Largest, we have:

[tex]B= 41[/tex]; [tex]C = 56[/tex]; [tex]A = 83[/tex]

I will mark brainliest please help ASAP :)

the distance a car travels d, is a function of t the time it travels a certain car travels 425 miles at a speed of 50 miles per hour. What are the domain range of the function described?

The domain is all real values from 0 to 8.5 and the range is all real values from 0 to 50

The domain is all real values from 0 to 8.5 and the range is all real values from 0 to 425

The domain is all real values from 0 to 50 and the range is all real values from 0 to 425

The domain is all real values from 0 to 425 and the range is all real values from 0 to 8.5

Answers

The domain and range of the linear function described are given as follows:

The domain is all real values from 0 to 8.5 and the range is all real values from 0 to 425.

What is a linear function?

A linear function is modeled by:

[tex]y = mx + b[/tex]

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0.

In this problem, the car travels 425 miles at a speed of 50 miles per hour, hence for the amount of miles left for the car to travel after t hours is given by a linear function with m = -50 and b = 425, that is:

d(t) = 425 - 50t.

The domain is the set of all possible values of the input, which considering that the car travels while the distance is greater than 0, is given by:

d(t) > 0 -> 425 - 50t > 0 -> t < 8.5.

The range is the set of all possible values of the input, which is the distance remaining, assuming real values from 0 to 425.

Hence, the correct option is:

The domain is all real values from 0 to 8.5 and the range is all real values from 0 to 425.

More can be learned about linear functions at https://brainly.com/question/24808124

Find the product of (4c-5)(7x^2m- 3x + 3)

Answers

Answer:
28cx2m−12cx+12c−35x2m+15x−15

Step-by-step explanation:

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