a man walked for some distance at 8 km /h and for an equal distance at 5km/h. the total time he took was 3 whole number 1/4 hours. find the total distance he walked.

Answers

Answer 1

Answer:

the total distance walked is 20 km

Step-by-step explanation:

The computation of the total distance he walked is shown below:

Let us assume the total distance walked be d

Now the total time would be

Total time = (d ÷ 2) ÷ 8 +  (d ÷ 2) ÷ 5 = 3.25

d ÷ 16 + d ÷ 10 = 3.25

(5d + 8d) ÷ 80=3.25

13d = 260

d = 20 km

Hence, the total distance walked is 20 km


Related Questions

A pet store decides on no longer selling Smelly Cat litter that costs s dollars per bag. In order to quickly sell the rest of its supply, it marks down the bags by 59%.

Answers

Answer:

Expanded Expression: 1s- 0.59s

Simplified Expression : 0.41 s

Discounted Price=  $ 2.46

Step-by-step explanation:

Directions: Write two markup or markdown expressions for each problem below. Then substitute the given value for the variable and evaluate the expression.

The Discounted Price is found out after deducting the discount from the original price.

Let 100 be the sale price then the discount is 59 and the discounted price would be 100- 59= $41

Sale Price = $ s

Discount = 59% of $ s

Discounted Price = s- (100-59)/100*( $s) = 1s- 0.59s   = 0.41 s

Expanded Expression                             Simplified Expression

 1s- 0.59s                                                                      0.41 s

Find the sale price of the Smelly Cat litter, when the regular price was $6 per bag.

Sale Price = $ 6

Discount = 59% of $ 6

Discount= (59/100) $6= $ 3.54

Discounted Price= Sale Price - Discount= $6 - $ 3.54= $ 2.46

Factor 144x2+312x+169,

Answers

Answer:

Number 6 is b

Step-by-step explanation:

Jojo spends t minutes practicing the guitar. He spends 20 minutes less than twice that amount of time doing homework. Which expression shows the number of minutes Dion spends doing homework?

Answers

Answer: 2t - 20

Step-by-step explanation:

Jojo spends t minutes doing homework.

He then spends 20 minutes less than twice that amount of time doing homework.

For homework therefore, let us breakdown the time spent:

Spends twice the amount of time = 2tSpends 20 minutes less than twice = 2t - 20

When doing homework, Jojo therefore spends:

= 2t - 20

Watch help video
Claire was given a gift card for a coffee shop. Each morning, Claire uses the card to
buy one cup of coffee. The amount money remaining on the card after buying x cups
of coffee is given by the equation A= 45 – 3x. What is the x-intercept of the
equation and what is its interpretation in the context of the problem?
The x-intercept of the function is
which represents

Answers

Answer:

15 cups of coffee

which represents the total number of cups of coffee purchased from the card

Step-by-step explanation:

A = 45 - 3x

45 - 3x = A

45 - 3x = 0

( I kinda got lost here, but if it is a real problem for you like it was for me, I used Cymath, it was really helpful. )

I hope this helps.

2 Find the distance between each pair of points. Round your answer to the nearest tenth, if
Ay
necessary.
F 3.9
G 2.2
H 7.2
J
10.6
3 Find the other endpoint of the line segment with the given endpoint and midpoint.

Answers

Answer:

distance between (F,G) and (H,J) = 9.02

distance between (F,H) and (G,J) = 3.8

distance between (F,J) and (G,H) = 3.8

Step-by-step explanation:

Distance between (F,G) and (H,J)

d=√(7.2−3.9)2+(10.6−2.2)2

d=√(3.3)2+(8.4)2

d=√10.89+70.56

d=√81.45

d=9.024965

Distance between (F,H) and (H,J)

d=√(2.2−3.9)2+(10.6−7.2)2

d=√(−1.7)2+(3.4)2

d=√2.89+11.56

d=√14.45

d=3.801316

Distance between (F,J) and (G,H)

d=√(2.2−3.9)2+(7.2−10.6)2

d=√(−1.7)2+(−3.4)2

d=√2.89+11.56

d=√14.45

d=3.801316

Hope this helps a lot!!

After distributing, which equation is equivalent to -4(3x + 2) = 10a.-12x -8 = 10b.-12x + 8 = 10c.-12x -6 = 10d.-12x + 6 = 1

Answers

Answer:

Option A: -12x-8=10 is the correct answer.

Step-by-step explanation:

Given equation is:

-4 (3x+2) = 10

We will distribute the equation by multiplying the terms inside the brackets with -4.

Therefore,

-4*3x + 2*-4 = 10

-12x +(-8) = 10

-12x - 8 = 10

The equation -4 (3x+2) = 10 will become -12x-8=10 after distributing.

Hence,

Option A: -12x-8=10 is the correct answer.

Sally and her friends share 3 chocolate bars. They each get 0.75 of a chocolate bar. How many friends did Sally share her chocolate bar with?

Answers

3 bars / 0.75 = 4 pieces.

Sally got 1 piece so she had 4-1 = 3 friends.

Determine the solution for the equation.

45 - k = 27, k = 15, 16, 17

Answers

Answer:

15

Step-by-step explanation:

45 - 27 = 15 B)

Help explain plz would help

Answers

Step-by-step explanation:

[tex] \frac{3( {s}^{2} )^{4} \times {s}^{ - 5} } {27 {s}^{3} } [/tex]

[tex] \frac{3 {s}^{8} \times {s}^{ - 5} }{27 {s}^{3} } [/tex]

[tex] \frac{3 {s}^{3} }{27 {s}^{3} } [/tex]

[tex] \frac{1}{9} [/tex]

Acircular ring has across -section as shown .If the outer radias 20 mm and the inner radius 16 mm .Calculate the cross - section area of the ring .

Answers

Answer:

452.45mmm^2

Step-by-step explanation:

Step one:

Given data

outer radius R= 20mm

inner radius r= 16mm

let us find the area of the outer circle

Area= πR^2

Area= 3.142*20^2

Area= 3.142*400

Area= 1256.8 mm^2

let us find the area of the inner circle

Area= πr^2

Area= 3.142*16^2

Area= 3.142*256

Area= 804.35 mm^2

Hence the area of the section is

Area of outer- Area of inner

=1256.8-804.35

=452.45mmm^2

WILL GIVE BRAINLIEST

Answers

Answer:

c

Step-by-step explanation:

The answer is C..............

Given the graph below, which of the following best explains the range of the equation?


Question 2 options:


y 0, because the function comes close to zero but never touches it and goes infinitely in the positive direction.

y=0, because the function touches zero and goes infinitely in the positive direction.

Answers

Answer:

y 0, because the function comes close to zero but never touches it and goes infinitely in the positive direction.

A bakery has three types of pie: apple, cherry, and peach. There are four times as many apple pies as peach pies. What is a possible percentage for each type of pie? Please help this is due tonight.

Answers

Answer:

Step-by-step explanation:

Let us represent:

Apple pie = a

Cherry pie = c

Peach pie = p

A bakery has three types of pie: apple, cherry, and peach.

There are four times as many apple pies as peach pies.

a = 4p

Answer Apple 40%    Cherry 50%      Peach 10%

Step-by-step explanation:  4x10=40

                                              5x10=50

                                              1x10=10

Therefore The answer Would be Apple 40%    Cherry 50%     Peach 10%

could somebody help me please

Answers

large is the answer hope this helps

I NEED HELP!!!!!
Answer choices

The probability that the next marble Licia chooses will be black is 5/8

The next marble Lucia chooses will be black

The probability that the next marble Lucia chooses will be white is 1/3

The next marble Lucia chooses will be white

Answers

Answer:

The probability that the next marble Licia chooses will be black is 5/8

Step-by-step explanation:

answer choice A

Suppose that LMN is isosceles with base LN suppose that M

Answers

Given:

In an isosceles triangle LMN, LM=MN.

[tex]m\angle M=(3x+17)^\circ,m\angle L=(2x+36)^\circ[/tex]

To find:

The measure of the angles L, M and N.

Solution:

In triangle LMN,

[tex]LM=MN[/tex]                     (Given)

[tex]m\angle N=m\angle L=(2x+36)^\circ[/tex]   (Base angles of an isosceles triangle are equal)

Now,

[tex]m\angle L+m\angle M+m\angle N=180^\circ[/tex]

[tex](2x+36)^\circ+(3x+17)^\circ+(2x+36)^\circ=180^\circ[/tex]

[tex](7x+89)^\circ=180^\circ[/tex]

[tex](7x+89)=180[/tex]

On further simplification, we get

[tex]7x=180-89[/tex]

[tex]7x=91[/tex]

[tex]x=\dfrac{91}{7}[/tex]

[tex]x=13[/tex]

The value of x is 13. Using this value, we get

[tex]m\angle L=(2(13)+36)^\circ[/tex]

[tex]m\angle L=(26+36)^\circ[/tex]

[tex]m\angle L=62^\circ[/tex]

Similarly,

[tex]m\angle M=(3(13)+17)^\circ[/tex]

[tex]m\angle M=(39+17)^\circ[/tex]

[tex]m\angle M=56^\circ[/tex]

And,

[tex]m\angle N=m\angle L[/tex]

[tex]m\angle N=62^\circ[/tex]

Therefore, the measure of angles are [tex]m\angle L=62^\circ,m\angle M=56^\circ,m\angle N=62^\circ[/tex].

Which expression has a value of 1 when x = 2.

A .2x + 3
B.2x - 3
C.3x +2
D.3x - 2

Answers

Answer:

B.

Step-by-step explanation:

hope it helps

The expression 5(7+2)=5(7)+5(2) is an example of

Answers

Answer:45

Step-by-step explanation:5(7)+5(2)=35+10=45.This is an example of expansion or distributive expression

Answer: 45 = 45

god bless have a nice day love u

Step-by-step explanation:

5(7+2)= 45

5(7)+5(2)= 45

so its 45

but i put 45 = 45 same thing i think

An airplane flies at an altitude of 14,690 feet while a submarine is submerged at a depth of 521 feet below the surface of the ocean. What is the difference between these two elevations?

Answers

Answer:

15,211 feet

Step-by-step explanation:

According to the question,  given data are as follows:

Airplane altitude = 14,690 feet above

Submarine depth = 521 feet below

So, let the difference between these two elevation be d,

So, we can calculate difference by using following formula:

Difference = Airplane altitude + Submarine depth

By putting the value, we get

Difference = 14,690 + 521

= 15,211 feet

0.5(-10 + k) I did help asp

Answers

use distributive property

0.5 x -10 = -5

0.5 x k = 0.5k

0.5(-10 + k) = 0.5k -5

Find the slope of the line give these two points: (0,5) and (-7, -8) *

Answers

Answer:

m=13/7

Step-by-step explanation:

the equation for slope (m) is (y2-y1)/(x2-x1)

the given points are (0,5) and (-7,-8)

we can label them:

x1=0

y1=5

x2=-7

y2=-8

now substitute into the equation

m=(-8-5)/(-7-0)

m=-13/-7

m=13/7

the slope is 13/7

hope this helps!

Which is better deal and why:)? Help ASAP

Answers

Answer:

The second one is the better deal

Step-by-step explanation:

The first one each pencil is 25 cents

The second one each pencil is 20 cents!

hope this helps!

Answer:

The 20-pack because four 5-packs of pencils would be 5 dollars and the same amount of pencils for the 20-pack is only 4 dollars. So the 20-pack is the better deal.

Step-by-step explanation:

Which proportion models the following problem:

If you can get 3 oz of candy for $1.65, how much would it cost for 5 oz of candy?


3
1.65
=
5
x
1.65
3

=
x
5



5
1.65
=
x
3
1.65
5

=
3
x



x
3
=
1.65
5
3
x

=
5
1.65



1.65
3
=
5
x
3
1.65

=
x
5

Answers

Answer:

$1.65

3

=

5

x

3

$1.65

Step-by-step explanation:

you already have how much it would be if you brought 3oz . Now , all you have to do was put 5oz in that quotient.

James wants to buy a new cell phone package. There are three packages available, each offering a different deal.

Package 1 $200 for 5 months
Package 2 $128 for 4 months
Package 3 $120 for 4 months

Which package offers the best deal?
A.
Package 1
B.
Both Package 1 and Package 2
C.
Package 3
D.
Package 2

Answers

Answer:

it's answer is package 1 $ 200 for 5 months

hope it helps you

Answer:

I think no A

if wrong correct me plsssssss

I will always help you understanding your assingments

enjoy your day

#Captainpower:)

what is the distance between (-6,-2) and (4,-5)

Answers

Answer:

7x4

Step-by-step explanation: =43

Shawn earns $10 per hour for the first 32 hours he works in a week. For any additional
hours after that, he earns $15 per hour for that week. Which solution best represents the
number of hours beyond the first 40 hours, h, Shawn worked this week if he earned more
than $395?
HELP ITS DO TODAYYY

Answers

Answer:

im sorry im not sure but i think 9

Step-by-step explanation:

Last month you spent $40 on clothing. This month you spent 110% of what you spent last month.
Set up a proportion to model this situation. How much did you spend this month?

Answers

Answer:

the answer is 44

Please help with this, just simplify and answer then please

Answers

Answer:

Step-by-step explanation:

[tex]a^{m}*a^{n}=a^{m+n}\\\\[/tex]

[tex]a) 3x^{2}y^{4}*2x^{6}y=3*2*x^{2+6}*y^{4+1}\\\\=6x^{8}y^{5}[/tex]

[tex]b) xz^{3} * 4x^{4}z^{5}=4*x^{1+4}*z^{3+5}\\\\= 4x^{5}z^{8}[/tex]

c)

[tex]4a^{3}b^{2}* 3a^{6}b^{5}=4*3*a^{3+6}*b^{2+5}\\\\=12a^{9}b^{7}[/tex]

[tex]d) 6s^{5}t*s^{4}t^{2}=6*s^{5+4}*t^{1+2}\\\\=6s^{9}t^{3}\\[/tex]

Answer:

A: 6x^8y^5

B: 4x^4z^8

C:12a^9b^7

D:6s^9t^3

Step-by-step explanation:

When you multpily exponents with the same base you just add them

You still multiply the real numbers like you normally would though

so we have

3x²y^4*2x^6y

To do this you multiply 3*2=6

add the exponents on x^2 and x^6=x^8

and add the exponents on y (which is equal to y^1) and y^4=y^5

put these together and get 6x^8y^5

B: I won't explain it twice because it's the same process

I get 4x^5z^8

C: 12a^9b^7

D: 6s^9t^3

You have to find the common difference, the term named in the problem, and the explicit formula.

Answers

                                                    Question 1

Given the sequence

31, 61, 91, 121,...

An arithmetic sequence has a constant difference 'd' and is defined by  

[tex]a_n=a_1+\left(n-1\right)d[/tex]

computing the differences of all the adjacent terms

61 - 31 = 30, 91 - 61 = 30, 121 - 91 = 30

The difference between all the adjacent terms is the same and equal to

d = 30

As the first term of the sequence is:

a₁ = 31

now substituting a₁ = 31 and d = 30 in the nth term of the sequence

[tex]a_n=a_1+\left(n-1\right)d[/tex]

[tex]a_n=30\left(n-1\right)+31[/tex]

[tex]a_n=30n+1[/tex]

Now, putting n = 36 to determine the 36th term

[tex]a_n=30n+1[/tex]

[tex]a_{36}=30\left(36\right)+1[/tex]

[tex]a_{36}=1080+1[/tex]

[tex]a_{36}=1081[/tex]

Thus,  the 36th term is:

[tex]a_{36}=1081[/tex]

                                               Question 2

Given the sequence

-34, -44, -54, -64, ...

An arithmetic sequence has a constant difference 'd' and is defined by  

[tex]a_n=a_1+\left(n-1\right)d[/tex]

computing the differences of all the adjacent terms

[tex]-44-\left(-34\right)=-10,\:\quad \:-54-\left(-44\right)=-10,\:\quad \:-64-\left(-54\right)=-10[/tex]

The difference between all the adjacent terms is the same and equal to

[tex]d=-10[/tex]

As the first term of the sequence is:

a₁ = -34

now substituting a₁ = -34 and d = -10 in the nth term of the sequence

[tex]a_n=a_1+\left(n-1\right)d[/tex]

[tex]a_n=-10\left(n-1\right)-34[/tex]

[tex]a_n=-10n-24[/tex]

Now, putting n = 26 to determine the 36th term

[tex]a_n=-10n-24[/tex]

[tex]a_{26}=-10\left(26\right)-24[/tex]

[tex]a_{26}=-260-24[/tex]

[tex]a_{26}=-284[/tex]

Thus, the 26th term is:

[tex]a_{26}=-284[/tex]

z/2 = 6 Solve the equation.

Answers

Answer:

12

Step-by-step explanation:

Answer:

z=12

Step-by-step explanation:

Multiply both sides by 2

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