Anthony drives 15 km at 40 kph and return at the rate of 60kph , what is the average rate for the entire round trip​

Answers

Answer 1

9514 1404 393

Answer:

  48 kph

Step-by-step explanation:

The distance is immaterial, as long as it is the same at both speeds. The total time for some distance d is ...

  t = d/40 +d/60

And the average speed is ...

  2d/t = 2d/(d(1/40 +1/60) = 2/(1/40 +1/60) = 2(40)(60)/(40+60) = 4800/100 = 48

The average rate for the round trip is 48 kph.

_____

Additional comment

This value is called the harmonic mean of the two speeds. It is the reciprocal of the average of the reciprocals of the speeds.


Related Questions

Quadratic shifted left by
1 unit vertical stretch by a
factor of 1.

Answers

Answer:

1(x+1)^2

Step-by-step explanation:

*25 points* an someone pls tell me how many solutions this equation have

Answers

Answer:

infinite number of solutions

Step-by-step explanation:

4(z - 5) + 2 = 4z - 18 ← distribute and simplify left side

4z - 20 + 2 = 4z - 18

4z - 18 = 4z - 18 , which reduces to

0 = 0 ← a true statement

This indicates the equation has an infinite number of solutions

. A straight line passes through the point (-1,2) and its distance from the origin is
one unit. Find its equation.

Answers

Answer:

y = -1/2x + 3/2

Step-by-step explanation:

(2-0)/(-1-0) = -1/2

2 = -1/2(-1) + b

2 = 1/2 + b

b = 3/2

Answer: y = -1

Step-by-step explanation:

Assuming "distance from the origin is one unit" means distance on the x axis, a vertical straight line having an x-intercept of -1 would satisfy thede requirements.  y = -1 isn't much of an equation, but it goes through (-1,2) and is 1 unit (-1) from the origin.

Simplify the expression.

options:

33

38

34

39

Answers

Step-by-step explanation:

the answer is

[tex] {3}^ {9} [/tex]

the explanation is that {3^3}^4 = 3^12

and 3^12 x 3^2 / 3^ 5 = 3^9

The area of Ms. McCarthy’s garden measures 600 square feet. She plants vegetables in 75% of her garden and flowers in the remaining section. What is the area of the garden that Ms. McCarthy plants with flowers?

Answers

100% - 75% = 25%

25/100 x 600 = 150 square feet

Answer

25

Step-by-step explanation:

100% - 75% = 25%

25/100 x 600 = 150 square feet

Sam works for 6 hours at $10.25 per hour. how much does she earn?

Answers

Answer:

$61.50

Step-by-step explanation:

1h=$10.25

6h=$10.25×6

=$61.50

Answer:

$61.5

Step-by-step explanation:

6t*10.25

= 61.5

Find the difference between (4, -2) and (-2, 3) THE ANSWER IS 7.8 BUT PLEASE EXPLAIN HOW YOU GOT IT!

HELP ASAP (I'll mark brainliest if you answer within the next 5 mins!!)

Answers

Answer:

√61

Step-by-step explanation:

(4,-2) - (-2,3) = (6,-5)

6^2 + (-5)^2  = 61

square root both sides to get 7.8

what is 6-11a>-49 and 5a+10≥-35 will mark brainliest

Answers

Step-by-step explanation:

6-11a>-49

-11a>-49-6

-11a>-55

a<5.

Now, according to the question, if it is

W = {0,1,2,3,4}

N = {1,2,3,4}

Z = {...,-2,-1,0,1,2,3,4}

5a+10≥-35

5a≥-35-10

5a≥-45

a≥-9.

Now, according to the question, if it is

W = {-9,-8,-7,-6,-5,-4,-3,-2,-1,01,2,3...}

Z = {-9,-8,-7,-6,-5,-4,-3,-2,-1,01,2,3...}

Now, according to your domain you will do it .

hope this helps you.

Determine whether the ordered pair is a solution of the linear equation y = -3/2x + 8 (2/37)

Answers

Answer:

No it is not a solution of the linear equation

Step-by-step explanation:

it is not a solution because

37= -3/2(2)+8

37= -3+8

37=5

Any math experts please factor this thank you have a blessed day

Answers

56 + x - x^2
-x^2 + x + 56 Rewrite
x^2 - x - 56 Multiple whole equation by -1 to get positive x^2
(x-8)(x+7) Factor(-8 times 7=56, -8+7=-1)
x=8 x=-7 Put it equal to 0

How do you write f(x)=|x-7| as a piece wise function

Answers

Answer:

f(x) = { x+9 x ≥ − 9

-x -9 x < -9

OMGGGGGGG PLSSS HELP ME WITH THIS QUESTION, IM SUPER STUCK PLS PLS PLS ITS DUE VERY SOON!!!! EXPLAIN PLSSS, WILL MARK THE BEST ANSWER BRAINEST

Answers

It’s H. You have to set up an equation: y=10x-11. -11 is the starting value, so you put it at the end. You add ten each time, so you put 10x. Just plug in 100 for x, and you’ll get 989

The equation of line j is y =-5/8x+4/9. Line k is parallel to line j. What is the slope of line k?

Answers

Answer:

using the formula

y= mx+ c

comparing these;

m= -5/8

when two lines are parallel they are always equal

so the slope of line k= -5/8

Step-by-step explanation:

PLS MARK BRAINLIEST

The pressure on a diver in the water varies directly as the depth. If the pressure is 3.6 Ib/in^2 when the depth is 8ft, what is the pressure when the depth is 30ft.

I give Brainliest! Please show your work

Answers

Answer:

13.5 lb/in^2

Step-by-step explanation:

8ft = 3.6 lb

30ft= ?

8ft÷30ft = 3.75

this means 8ft goes into 30ft 3.75 times

3.6lb× 3.75=13.5lb/in^2

you times the pressure of 8ft by 3.75 to find how much pressure there is at 30ft

PLEASEEEE HELPPPPPPPPPP

Answers

Answer:

-1/2, +1/4, -1/8, +1/16, -1/32, +1/64

Step-by-step explanation:

multiplying a negative by a negative makes it a positive. Multiplying a positive by a negative makes it a negative. The order will be negative, positive, negative, positive, negative, positive, etc.

Hope this helps!

Answer the answer is the third one

A shape is shown on the graph: A coordinate grid is shown from positive 8 to negative 8 on the x-axis and from positive 8 to negative 8 on the y-axis. A triangle is shown on ordered pair 2, negative 2 and 4, negative 2 and 2, negative 6. Which of the following is a reflection of the shape? (5 points) Group of answer choices A coordinate grid is shown from positive 8 to negative 8 on the x-axis and from positive 8 to negative 8 on the y-axis. A triangle is shown on ordered pair negative 2, negative 2 and negative 4, negative 2 and negative 4, negative 6. A coordinate grid is shown from positive 8 to negative 8 on the x-axis and from positive 8 to negative 8 on the y-axis. A triangle is shown on ordered pair 2, 2 and 4, 2 and 2, 6. A coordinate grid is shown from positive 8 to negative 8 on the axis and from positive 8 to negative 8 on the y-axis. A triangle is shown on ordered pair negative 2, negative 4 and negative 6, negative 4 and negative 6, negative 2. A coordinate grid is shown from positive 8 to negative 8 on the axis and from positive 8 to negative 8 on the y-axis. A triangle is shown on ordered pair 2, 2 and 2, 4 and 6, 2.

Answers

Answer:

Step-by-step explanation:

the answers the second one.

Answer:

D

Step-by-step explanation:

the answer is d

Evaluate (4/25) 1/2

A 4/5

B 4/25

C2/5

D2/25

Answers

(4/25) 1/2 = 4/50 = 2/25

D. 2/25

2/25

Step-by-step explanation:

[tex]\begin{aligned}\tt\left(\frac{4}{25}\right)\cdot\frac{1}{2}&=\tt\frac{4}{50}\to(\div~2)\\&=\tt\frac{2}{25}\end{aligned}[/tex]

Which equations are true for x = –2 and x = 2? Select two options x2 – 4 = 0 x2 = –4 3x2 + 12 = 0 4x2 = 16 2(x – 2)2 = 0

Answers

It is x2-4=0 and 4x 2 = 16

Hope this helps you!!!

The equation x² - 4 = 0 and 4x² = 16 have roots of x = -2 and 2 so option 1st and 4th are correct.

What are the roots of an equation?

Roots of an equation are the solution of that equation, since an equation consists of hidden values of the variable so to determine them by different processes and then the resultant is called roots.

For example root of x -4 = 0 is x = 4 so 4 will be the only root of this linear equation.

The number of roots of an equation depends on the degree of the equation for example number of roots of quadratic equation are 2.

Given the roots

01)

x = -2

square both sides

x² = 4

x² - 4 = 0

02)

x = 2

Square both sides

x² = 4

Multiply by 4 on each side

4x² = 16

Hence "The equation x² - 4 = 0 and 4x² = 16 have roots of x = -2 and 2".

To learn more about the roots of equation,

https://brainly.com/question/12029673

#SPJ6

Which organism has an exoskeleton
crab
tree
deer
elephant
PLS HURRY!!!!

Answers

a crab has a exoskeleton

crabs have exoskeletons instead of endoskeletons

What is the solution to the inequality 1 2/3 > r - 7/12

Answers

Answer:

r ≤ 2 1/4

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Rewriting Fractions

Step-by-step explanation:

Step 1: Define

1 2/3 ≥ r - 7/12

Step 2: Solve for r

Rewrite:                    5/3 ≥ r - 7/12

Isolate r:                    9/4 ≥ r

Rewrite:                    r ≤ 9/4

Reduce:                    r ≤ 2 1/4

Here we see that any number r less than or equal to 2 1/4 will work as a solution to the inequality.

What is 0.071 as a fraction in lowest terms?


71/10


71/1000


71/50


71/100

Answers

Answer:

71/1000

Step-by-step explanation:

cause ik math and I really not smart at the.same time

0.071 as a fraction in the lowest term is [tex]\frac{71}{1000}[/tex]

What is the lowest term?If the numerator and denominator of a fraction are relatively prime, that is, if they only share the number one, then the fraction is said to be stated in the lowest terms.

0.071 in fraction is [tex]\frac{71}{1000}[/tex]

because 71 and 1000 don't have greatest common factor so the lowest term is also the same.

Therefore, 0.071 as a fraction in the lowest term is

To learn more about the lowest term, refer to

https://brainly.com/question/17220365

#SPJ2

Two fifth of pupils in a standard 7 class were girls.There were 27 boys in the class. ( a) how many girls were there. (b) how many peoples were there in the standard 7 class​

Answers

Answer:

a. 18

b. 45

Step-by-step explanation:

The question states that 2/5 of the class are girls which means 3/5 are boys:

[tex]\frac{3}{5} = 27[/tex]

Divide this value by 3 to get the value of [tex]\frac{1}{5}[/tex]:

27 ÷ 3 = 9

Multiply this by 5 to find [tex]\frac{5}{5}[/tex], the total pupils in the class:

9 x 5 = 45

As the number of girls is [tex]\frac{2}{5}[/tex] of the total pupils:

9 x 2 = 18

So there are 18 girls in the class which has a total pupil size of 45.

Hope this helps!

Step-by-step explanation:

according to question of are girls than are boys

so let the number of girls be x

so,

of x = 27

x = 27 × 5/3 = 9×5 = 45

x = 45

a ) 45 - 27 = 18

than no. of girls is 18.

b) thier are 45 students in total.

hope this answer helps you dear...take care and may u have a great day ahead!

there are 25 students in class 2-11 and 20% wear glasses. How many wear glasses?

Answers

Answer:

Five students wear glasses.

Step-by-step explanation:

20 percent of 25 is 5

We are given that 25 students in the class and 20% wear glasses.

Take 20% of 25 to calculate how many students wear glasses.

[tex]25 \times 20 \%=25 \times 0.20[/tex]

[tex]= 5[/tex]

5 students in class 2-11 wear glasses. Let me know if you have any questions, thanks!

A total of 176 valves were used for 8 cars as
they were being assembled. The same number
of valves were used for each car. How many
valves were used for each car?

Answers

ANSWER:

22

EXPLANATION:

BECAUSE IF YOU DIVIDE 176 TO 8 THE ANSWER WILL BE 22.

176÷8=22

HOPE IT HELPS YOU

Has anyone done Exponential Growth and Decay (in mathematical models with application A) on sos or odysseware and gotten a prefect score?? Pls help!

I need help on the whole assignmnet but particularly this question..

Answers

Answer:

1) 62.5

2) 50

3) 75

4) 100

Step-by-step explanation:

1)

Because it has a half-life of 25 days, half of it will decay after 25 days.

After [tex]25*4=100[/tex] days, there will be [tex](1/2)^{4}=1/2^{4}=1/16[/tex] of it left.

So, [tex]1000/16=\boxed{62.5}[/tex].

2)

Because it has a half-life of 25 days, half of it will decay after 25 days.

After [tex]25*3=75[/tex] days, there will be [tex](1/2)^{3}=1/2^{3}=1/8[/tex] of it left.

So, [tex]400/8=\boxed{50}[/tex]

3)

Because it has a half-life of 25 days, half of it will decay after 25 days.

After [tex]25*2=50[/tex] days, there will be [tex](1/2)^2=1/2^{2}=1/4[/tex] of it left.

So, [tex]300/4=\boxed{75}[/tex].

4)

The only answer left is [tex]\boxed{100}[/tex] grams. You can solve it the same way you solved the previous steps.

(50 POINTS^^ JUST NEED HELP ^^)
Which statement correctly describes the relationship between the graph of f(x)=x and the graph of g(x)=f(x)+5 ?

A)The graph of g(x) is the graph of​​​ f(x) translated 5 units up.
B) The graph of g(x) is the graph of f(x) translated 5 units right.
C) The graph of g(x) is the graph of​​ f(x)​ vertically compressed by a factor of 5.
D) The graph of g(x) is the graph of​ f(x)​ vertically stretched by a factor of 5.

2. The graph of function ​g(x)​ is a vertical stretch of the graph of function f(x)=x ​​by a factor of 6.
Which equation describes function ​g(x)​?

A) g(x)=6f(x)
​​B) g(x)=f(x)−6
C) ​g(x)=16f(x)
D) ​​g(x)=f(x)+6

Answers

1: A; the graph of g(x) is the graph of f(x) translated 5 units up

2: A; g(x)=6f(x)

Hope this helps :)

After 3 years, a $1,500 investment is worth $1,680. What is the interest rate on the investment?
A. 0.04 percent
B. 2.0 percent
C. 4.0 percent
D. 37.3 percent

Answers

Answer:

the answer is C.

Step-by-step explanation:

your welcome..

Answer:

youre answer would be 4 so that would be C

This is the Length of Arc....pls. try to answer.​

Answers

Answer:

75 cmmmmmmmmmmmmmmmmmm

2x7=9
Can anybody help me with this??

Answers

Answer:

2 times 7 is 14

2,4,6,8,10,12,14

Step-by-step explanation:

hope this helps

a bag contains 13 triangles. I chose one at random. what is the probability that the sum of the angles measures of the one i chose to 180degrees

Answers

The probability 100% because the angles of a triangle always add up to 180°.
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