Alex can run 24 miles in 3 hours. How many miles does he run in 1 hour?

Answers

Answer 1

Answer:

8 miles per hour

Step-by-step explanation:

24 divided by 3 equals 8 miles per hour

Answer 2

Answer: 8 miles

Step-by-step explanation:

24/3=8, so the unit rate is 8 miles an hour, which means he ran 8 miles in 1 hour.


Related Questions

The table above gives selected values of twice-differentiable functions f and g, as well as the first two derivatives of g. If f′ (x)=3 for all values of x, what is the value of [tex]\begin{equation}\int_{2}^{4} f(x) g^{\prime \prime}(x) d x\end{equation}[/tex]

Answers

Answer:

63

Step-by-step explanation:

∫₂⁴ f(x) g"(x) dx

Integrate by parts.

If u = f(x), then du = f'(x) dx.

If dv = g"(x) dx, then v = g'(x).

∫ u dv = uv − ∫ v du

= f(x) g'(x) − ∫ g'(x) f'(x) dx

f'(x) is constant at 3, so:

= f(x) g'(x) − ∫ 3 g'(x) dx

= f(x) g'(x) − 3 g(x)

Evaluate from x=2 to x=4.

[f(4) g'(4) − 3 g(4)] − [f(2) g'(2) − 3 g(2)]

[(13) (7) − 3 (9)] − [(7) (1) − 3 (2)]

64 − 1

63

The required value of [tex]\int\limits^4_2 {f(x)g"(x)} \, dx (1)[/tex] is 63.

Given that,

The table above gives selected values of twice-differentiable functions f and g,

The first two derivatives of g. If f′ (x) = 3 for all values of x.

We have to determine,

What is the value of [tex]\int\limits^4_2 {f(x)g"(x)} \, dx (1)[/tex].

According to the question,

To obtain the value of given function, integrating the function,

[tex]= \int\limits^4_2 {f(x)g"(x)} \, dx (1)[/tex]

Integrating by using by-parts.

[tex]= \int\limits^4_2 {f(x)g"(x)} \, dx (1)\\\\if\ u = f(x), \ then \ du = f'(x)dx\\\\if \ dv = g"(x)dx, \ then \ v = g'(x)\\\\[/tex]

Then,

[tex]\int u\ dv = uv\ - \ \int v \ du\\\\= f(x) \ g'(x) - \int g'(x) f'(x) \ dx\\[/tex]

if f'(x) is constant at 3,

Then,

[tex]= f(x) g'(x) - \int g'(x)\dx\\\\= f(x) g'(x) -3g(x)[/tex]

Substitute from x = 2 to x = 4 then evaluate,

[tex]= [f(4)\ g'(4) - 3 \ g (4)]- [f(2)\ g'(2) - 3 \ g (2)]\\\\= [(13).(7) - 3.(9)] - [7.(1)- 3.(2)]\\\\= [91-27} - {7-6}\\\\= 64-1\\\\= 63[/tex]

Hence, The required value of [tex]\int\limits^4_2 {f(x)g"(x)} \, dx (1)[/tex] is 63.

To know more about Integration click the link given below.

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MATH please answer
please answer ​

Answers

Answer:

you can fit 1000 hairs in 10 cm

Step-by-step explanation:

[tex]10^2= .01[/tex]

[tex].01*1000 = 10[/tex]

Please answer the question and give an explanation. Will give brainliest.

Answers

Step-by-step explanation:

By Pythagoras' Theorem, z^2 + (2.7)^2 = (4.2)^2.

This means that z^2 = (4.2)^2 - (2.7)^2 = 10.35.

So z = 3.2 (1 d.p.)

Step-by-step explanation:

x=4.2

y=2.7

z=x

(×+y=×

(4.2+2.7=×)

×=6.9

4. A mistake was made when solving the problem below.
Line 1: 2022+6
Line 2: 204 + 6
Line 3: 80 + 6
Line 4: 86
The mistake was made in Line

Answers

Answer:

Wdym

Step-by-step explanation:

wdym

Line 1 is the mistake of the problem solving being made

A is between B and C. BA = 11, BC = 20 find AC

Answers

Answer:

31

Step-by-step explanation:

Since be is in the middle its connecting the two.

So you will add the 11 and 20 to get 31

Answer :

31


Step By Step Equation

A chef turned on a faucet and filled a 2-gallon pot in 5 6 of a minute. What is the rate of water flow? Simplify your answer and write it as a proper fraction, mixed number, or whole number.

Answers

Answer: Rate of water flow is 12/5 gallon per minute

Step-by-step explanation:

Given the following :

Volume of faucet pot = 2 gallon

Time taken to fill the faucet pot = 5/6 of a minute = (5/6) minute.

Rate of water flow:

Volume of faucet pot / time taken

= 2 gallon ÷ (5/6) minute

= 2 gallon × (6/5) minutes

= (12 /5) gallon / minute

= 2 2/5 gallon / minute

Hence rate of water flow is 12/5 gallon per minute.

Answer:

2 2/5

Step-by-step explanation:

2 2/5

Solve for x in simplest form. 7=8/5 (3x+5)

Answers

Answer:

7=8/5 (3x+5)

or (7*5)= 24x + 40

or 24x = -5

x = -5/24

Step-by-step explanation:

To which place value is the number rounded?

8.293 to 8.29

a
ones
b
tenths
c
hundredths
d
thousandths

Answers

Answer:

c

Step-by-step explanation:  3 is not bigger than 9 so it can't bump it up so it stays like that.

Point O is on line segment NP‾\overline{NP}NP. Given OP=10,OP=10,OP=10, NP=2x,NP=2x,NP=2x, and NO=x+7,NO=x+7,NO=x+7, determine the numerical length of NO‾.\overline{NO}.NO.

Answers

Given:

Point O is on line segment NP.

OP=10, NP=2x, and NO=x+7.

To find:

The numerical length of NO.

Solution:

If point O is on line segment NP, then by segment addition property, we get

[tex]NP=NO+OP[/tex]

[tex]2x=(x+7)+10[/tex]

[tex]2x=x+17[/tex]

Subtract both sides by x.

[tex]2x-x=17[/tex]

[tex]x=17[/tex]

The value of x is 17.

Now,

[tex]NO=x+7[/tex]

[tex]NO=17+7[/tex]

[tex]NO=24[/tex]

Therefore, the numerical length of NO is 24units.

What is 115.376 rounded to the nearest hundredths

Answers

Answer:115.38

Step-by-step explanation:

115.378

=115.38

The hundredth digit is seven

i think it’s 116 that the rounded to the nearest hundreds

A local church has a rectangular fellowship room that it will expand by increasing the
length by 20 feet to form a larger rectangle. If the current dimensions of the room
are unknown, write an algebraic expression for the perimeter of the new room.

Answers

Answer:

perimeter of new room = 2[(l+20)*b]

Step-by-step explanation:

Which expressions have a sum of 12?

Answers

Answer:

First one.

Step-by-step explanation:

4+(-8) -10+22 =12

24+(-12) 0+ (-12) =-24

Please brainliest! Im on my way to another rank!

The expression 24 + (-12) has a sum of 12 after applying the arithmetic operation options (b) and (c) is correct.

What are arithmetic operations?

The study of numbers and their operations, which are relevant to all other fields of mathematics, is part of the discipline of arithmetic operations. Addition, subtraction, multiplication, and division are the basic operations that make up this system.

It is given that:

The expressions are shown in the picture.

After solving using Arithmetic operation:

Take the expression:

= 24 - 12

= 12

-10 + 22

= 12

Thus, options (b) and (c) are correct.

Learn more about the arithmetic operations here:

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#SPJ2

If lines Joined each given point on the graph to the origin, which points would be on lines that represent a unit rate greater than the one represented in the table? х,у 5,11 10,22 15,33​

Answers

Answer

I think first 3

Step-by-step explanation:

A slope is also known as the gradient of a line. The points that would be on lines that represent a unit rate greater than the one represented in the table are the first three points.

What is Slope?

A slope also known as the gradient of a line is a number that helps to know both the direction and the steepness of the line.

slope = (y₂-y₁)/(x₂-x₁)

The slope of the function that the table represents is 2.2.

Also, the slope of the different points and the origin will be shown on the points that would be on lines that represent a unit rate greater than the one represented in the table are the first three points.

Hence, the points that would be on lines that represent a unit rate greater than the one represented in the table are the first three points.

Learn more about Slope of Line:

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If someone can help me figure out #6. Thanks

Answers

Answer: [tex](1,-\frac{3}{2})[/tex]

Step-by-step explanation:

To find the midpoint, you use the formula [tex]midpoint=(\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )[/tex].

The points are (-2,-1) and (4,-2).

[tex]midpoint=(\frac{-2+4}{2} ,\frac{-1+(-2)}{2} )[/tex]              [add]

[tex]midpoint=(\frac{2}{2} ,\frac{-3}{2} )[/tex]                            [divide]

[tex]midpoint=(1 ,\frac{-3}{2} )[/tex]

Now, we know the midpoint is [tex](1,-\frac{3}{2})[/tex].

Please help. The tiger lost 9 games won 7 games and tied 2 games what percent of the games did they win.

Answers

Answer:

about 39%

Step-by-step explanation:

In order to find the percent, you need to find the total amount of games they played first.

9 games + 7 games + 2 games = 18 games total

Divide the number of games they won by the total amount of games they played:

7 games / 18 games = about 39%

what number is 100 times greater than 20?

Answers

Answer:

2000

Step-by-step explanation:

just muliply

2000 is the correct answer

what is the domain of the function

Answers

Answer:

the domain or set of departure of a function is the set into which all of the input of the function is constrained to fall.

Step-by-step explanation:

didn't know if you needed the definition or not :)

What is 78,652 divided by 8 long division

Answers

It’s 9,831.5, nine thousand height hundred thirty one point five


Find the length of side CB in the following right triangle
Round your answer to the nearest tenth.

Answers

Answer:

6cm

Step-by-step explanation:

a2 + b2 = c

(1.4)2 + (2)2 = c

1.96 + 4 = 5.96

=5.96cm (round it)

final answer = 6cm

Answer:

CB = 1.4 cm

Step-by-step explanation:

Given is a right angled triangle.

[tex] {x}^{2} + {1.4}^{2} = {2}^{2} \\ {x}^{2} + 1.96= 4 \\ {x}^{2} = 4 - 1.96 \\ {x}^{2} = 2.04 \\ x = \sqrt{2.04} \\ x = 1.42828569 \\ x \approx 1.4[/tex]

CB = 1.4 cm

If a line has a slope 2/3 a line that is perpendicular has a slope of what

Answers

Answer:

-1.5

Step-by-step explanation:

The product of slopes of two perpendicular lines = -1

If line one has a slope of 2/3;

Let line two, perpendicular to line one, has a slope of a

2/3 × a = -1

a = -1 ÷ 2/3 = -3/2 = -1.5

55,555 times x = 965,777 teacher gave this weird question and i do not under stand help me please. also which pic is prettier be honest

Answers

Answer:

[tex]\frac{965777}{55555}[/tex]

Step-by-step explanation:

The answer is quite simple, just divide both sides and rewrite the equation to get it. Maybe focus more on the question rather than yourself next time :)

is negative 31 an integer

Answers

Answer:

yes

Step-by-step explanation:

all numbers are integers

Yes,
It is negative

6x + 2y = 12
How do I show my work ?

Answers

Hey there!

ANSWER: [tex]\frac{-1}{3}y+2[/tex]EXPLANATION:

[tex]6x+2y=12[/tex]

Let's start by adding -2y to both sides.

[tex]6x+2y+-2y=12+-2y\\\text {This equals: 6x=-2y+12}[/tex]

Our second and final step is to divide both sides by 6.

[tex]\frac{6x}{6}=\frac{-2y+12}{6} \\x=\frac{-1}{3}y+2(ANSWER)[/tex]

If you are looking to solve y, the answer is 6 - 3x.

If you are looking for x, the answer is x = 2 - y/3

Hope this helps and have a great weekend!

[tex]\text{-TestedHyperr}[/tex]

Pls help I am so confused​

Answers

D. 175; There are about 175 insects of Type B when there are 0 insects of Type A

16.3 ÷ (−7.89)? It says im in highschool but im in middle school 7th grade!

Answers

This is the answer for your question

Answer:

The answer is -2.066 rounded up from the thousandths

Step-by-step explanation:

It is a bit difficult to divide by such an exact value, but I hope this helps!

Kendra earns $11.60 per hour working at the movie theater. Each week, she donates of
10
her earnings to Best Friends Animal Society, her favorite charity. If Kendra worked 8 hours
2
last week, how much money did she donate to the charity?

Answers

Answer:

$9.86

Step-by-step explanation:

First, write both numbers in the same form. Convert 8

1

2

to a decimal.

8

1

2

= 8+

1

2

= 8+

1×5

2×5

= 8+

5

10

= 8+0.5

= 8.5

Multiply.

11.6

× 8.5

580

+ 9280

98.60

Kendra earned $98.60 last week.

Now multiply to find how much money Kendra donated to the charity last week. She earned $98.60, and she donates  

1

10

of her earnings each week.

First, write both numbers in the same form. Convert  

1

10

to a decimal.

1

10

=0.1

Multiply.

98.6

× 0.1

9.86

Kendra donated $9.86 to the charity last week.

Plz help
Will mark brainliest

Answers

Answer:

4567

Step-by-step explanation:

add 2

add 88

sub 99

1-2 +4.32 - 6
a.-16
b
-14
2. 5 + 422(3)
C28
3. -5- (32 +2)
d. 29
4 22 3.6

Answers

Answer:

-16

Step-by-step explanation:

did the math

The formula d = rt gives the distance, d, traveled in time, t, at rate, r. A motorcycle traveled 67.2 mi in 1.2 h. What was its average speed (rate)? 30 mph 56 mph 66 mph 80 mph

Answers

Answer:

56mph

Step-by-step explanation:

If d=rt,

then s=d/t,

so if d=67.2 and t=1.2,

then 67.2/1.2=56

!!!!!!!!Pls hurry I need help to solve this !!!!!!!
(3m^2 – 5m + 2)^2

Answers

Answer: 9m^4- 30m^3 +37m^2 - 20m + 4  

Step-by-step explanation:

(3m^2 -5m +2)^2  is the same as (3m^2 -5m +2)(3m^2 -5m +2)  

Now apply the distributive property 3 times to solve.

3m^2(3m^2 -5m + 2) =   9m^4 - 15m^2 + 6m^2

-5m(3m^2 -5m+2) = -15m^3 +25m^2 -10m

2(3m^2 -5m +2)  =  6m^2 - 10m + 4

Now add the solutions

(9m^4 - 15^2 + 6m^2) (-15m^3 + 25m^2 -10m)(6m^2 -10m +4) =

9m^4- 30m^3 +37m^2 - 20m + 4

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