Mark cycles from home to school at a speed of 16 kilometers per hour. He cycles back on the
same route at a speed of 15 kilometers per hour. The total time taken for the journey is 7 3/4
hours. Given that the distance for his home to school is d kilometers, and that distance -
speed - time, write and solve an equation to find the total distance traveled by him.

Answers

Answer 1

Answer:

Write a time equation, time = dist/speed

:

go time + return time = total time

d%2F16 + d%2F15 = 7.75 hrs

multiply equation by the least common multiple 240, cncel the denominators:

 

15d + 16d = 240(7.75)

31d = 1860

d = 1860/31

d = 60 km one way

total dist = 120 km

:

Check this, find the actual time each way

60/16 = 3.75 hrs

60/15 = 4 hrs

-----------------

total time 7.75 hrs

Step-by-step explanation:


Related Questions

set up an equation and solve for x

Answers

Answer:

x=-7

Step-by-step explanation:

[tex]We\ are\ given\ that,\\Angle\ 1 =72+x\\Angle\ 2=x+122\\Hence,\\We\ observe\ that\ Angle\ 1\ and\ Angle\ 2\ are\ co-interior\ angles\ ; and\ as\ the\ lines\ are\ parallel\ \\They\ are\ supplementary.\\Hence,\\Angle\ 1\ +\ Angle\ 2\ =180\\(72+x)+(x+122)=180\\2x+194=180\\2x=180-194\\2x=-14\\x=-14/2\\x=-7[/tex]

x=7 hope this helps bruh

PLZ SOMEONE ANSWER

TOPIC: Should students be required to participate in at least 1 after school extra-curricular activity?



I am writing for the __________ side. (affirmative or negative)
1. 3 claims we can start off with are….we can support these claims by……



2. Our opponent believes….., however you should believe our side for the following reasons…..






3. The summary of the stance we are taking for our debate in 25 words is….

Answers

Answer:

No, students should not have to partake in extra after school activities. This is because, Students already have to work for about 7-8 hours, and then come home to maybe take care of sick parents, siblings, take care of pets, cook dinner, clean, study, do homework, and a lot more. It wouldn't be fair towards the student if they had add on stress. It's already tough to finish school and homework alone, and if you wanna throw on something else to their cheduloe they would never have time for themselves, or to get a good night of sleep to keep up their good grades.

hope this helps!!! If it did can I have brainly?? I'm trying to level up :)

The fare for a run on a particular private transport application consists of two parts, a fixed part of $ 4.60, charged regardless of the distance traveled and a variable part of $ 0.85 according to the kilometers traveled. From these conditions, the amount to be paid in the race can be represented by the law = 0.85 + 4.60. Based on this information, it is correct to state that the distance traveled on a trip for which the amount to be paid was $ 33.50 was equal to:

A- 34 kilometers.
B- 33 kilometers.
C- 29 kilometers.
D- 28 kilometers.

Answers

Answer:

B) 33 kilometers

Step-by-step explanation:

correct me if iḿ wrong

Complete the boxplot. Work out an estimate.

Answers

the answer would be 678
explaination: i did this test and got this answer correct

Answer:

45

Step-by-step explanation:

i answered it and got it right

I WILL MARK BRAINIEST
There should be one more that is correct

Answers

Answer:

1 and 2 or E

Step-by-step explanation:

If you look, they are right next to each other. This should be correct.

Hope this helps :D

Adjacent angles are angles that share a side and a vertex.

So using that information we can determine from the picture that the angles that are adjacent are:

A) <2 and <3 are adjacent angles

C) <1 and <5 are adjacent angles

E) <1 and <2 are adjacent angles

G) <4 and <6 are adjacent angles

I hope this helps!

A loaf of bread from a local baker measures on the scale at 627.95 grams. If converted to ounces, what amount would that be? Round to 2 decimals.

Answers

It would be round about 22 ounces.

Answer:

22.15

Step-by-step explanation:

If Oscar the ostrich travels 74 miles in 2 hours on land, how fast does he travel?
A.
38 mph
B.
148 mph
C.
35 mph
D.
37 mph

Answers

Answer:

the answer is d

Step-by-step explanation:

bc 74÷2= 37

therefore it is 37 mph

What is the measure of ABC

Answers

Answer:

B.

Step-by-step explanation:

It is the only one that makes sense.

Answer: it’s A. 260

Step-by-step explanation:

Blank divided by 8= 6 remainder 2

Answers

Answer:

50/8 = 6 remainder 2.

Step-by-step explanation:

A nut-raisin mix costs $5.26 per pound. Rashid buys 15.5 pounds of the mix for a party. Rashid’s estimated cost of the nut-raisin mix is
$16.
$22.
$61.
$80

Answers

Answer: $80

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

i took the test

what do you call a destroyed angle?

Answers

Answer:

im guessing its supposed to be a riddle. So a rectangle?

Step-by-step explanation:

Can someone please help me

Answers

Answer:

x = -6 + 2/3y

y = 9 + 3/2y

Step-by-step explanation:

FOR x:

-3x + 2y = 18

-3x = 18 - 2y

x = -6 + 2/3y

FOR y:

-3x + 2y = 18

2y = 18 + 3y

y = 9 + 3/2y

Find the equation of the line.
Use exact numbers.

Answers

Answer:

y=3/4x-2

Step-by-step explanation:

y=mx+b

the b is the y-intercept so find the y-intercept of the line:

which is -2

the slope you need to find two points and look how many times do you need to rise or run to get the answer: 3/4

Hope this helps!

The function f(c)=c/20 represents the number of ferry boat trips, f(c) needed to transport c cars in one day. If there are no more than 5,000 cars transported by the ferryboat daily, what is the maximum value for the function f?

Answers

Answer:

250

Step-by-step explanation:

Equation is f(c)= c/20

We know that there are NO MORE than 5,000 cars transported.

New equation would be

f(5000) =5000/20

5k divided by 20 is 250

less or equal to 250 in a euation would be

f(c) < or equal to 250

Which statement is true about the value of |6| 15 points

Answers

Answer:

|6| = 6

Step-by-step explanation:

I don’t see the answer choices but those bars are an absolute value sign

Absolute value: the number inside the bars cannot be negative

Answer:

Absolute value of 6 is 6.

Step-by-step explanation:

"6" is 6 away from zero, and "−6" is also 6 away from zero.

Work out the value of angle x and how ??

Answers

Answer:

160 degrees

Step-by-step explanation:

Step 1: A straight line is 180 degrees. So 180 - 100, is 80 degrees. as the opposite angle measurement of the 100 degree.

Step 2: An isosceles triangle has two equal angle measurements, so two of its angles are 80 degrees.

Step 3: All angles in a triangle equal 180 degrees. So add them up (we will call the missing angle, Z)     180 = 80+80+Z.      which equals 180= 160+z

Step 4: Solve it. You subtract 160 from both side which comes out to 20 = Z.

Step 5: Now you have the opposite angle of X. Going back to step 1, A straight angle is 180 degrees. 180 - 20 = 160. X = 160 degrees

Plz help me, I needs it

Answers

Answer:

the slope is 1/2 or .5

Step-by-step explanation:

How to write 10^3 as a multiplication expression having repeated factors

Answers

Answer: 10 x 10 x 10 = 10 to the third power.

Step-by-step explanation:

Answer:

10 • 10 • 10

Step-by-step explanation:

PLZ HURRY!!!
What is the equation of the line in slope-intercept form?

Line on a coordinate plane. The line runs through points begin ordered pair negative 5 comma 0 end ordered pair and begin ordered pair 0 comma 3 end ordered pair.

Enter your answer in the boxes.

y =
x +

Answers

Answer:

y =  [tex]-\frac{3}{5}[/tex] x + 3

Step-by-step explanation:

To find slope you need to take y2-y1 divided by x2-x1. First to the subtraction. Y2 is 3 in this problem and y1 is 0. X2 is 0 and x1 is 5. 3-0 = 3 and 0-5 = -5. Now we have the equation [tex]-\frac{3}{5}[/tex] as the slope.

Slope-intercept form is y= mx+b so plug in  [tex]-\frac{3}{5}[/tex]  to get y =  [tex]-\frac{3}{5}[/tex] x + b

The y-intercept is the coordinate where the x is equal to zero. (0,3) is the coordinate that meets this requirement. The y coordinate is 3 so that is the y-intercept. Plug that in to y =  [tex]-\frac{3}{5}[/tex] x + b to get =  [tex]-\frac{3}{5}[/tex] x + 3.

The other person was parcially correct, but here is the right answer:

Compare the steepness of the following lines and explain your reasoning.8x + y = 1
&
-8x+y=2

Answers

answer is x= 1/8y+-1/4

5
The population of Austin is growing at a rate of 6% per year. In 2015, the
population was 650,000. What would be the predicted current population
for 2020?

Answers

Answer:

The answer is 869,843.

Step-by-step explanation:  Y= 650,000 (1.06)^5

                                                =  650,000 (1.33822)

                                                = 869,843              

Emelia earns $8.74 per hour plus a gas allowance of $3.50 per day at her job. How much does Emelia’s job pay in a day when she works /2hours? Write an expression and evaluate for /. hours.

Answers

Answer:

$20.98

Step-by-step explanation:

2 hours means two of 8.74 which equals 17.48 plus that $3.5 in a day. So she gets $20.98 when she works for 2 hours.

Hope this helps please give brainliest.

please answer this!!quick

Answers

Answer:

the answer is y = 3/4x + 1/2 (I think sorry if wrong)

sin70° cos80° + cos70° sin80°​

Answers

The answer for your question is (1/2) and alternate form is 0.5 and 2^-1

Krystal hiked 109 miles last year. Tanji hiked 12 times as many miles as Krystal. How many miles did Tanji hike last year?

Answers

Answer:

1308

Step-by-step explanation:

multply

109 by 12

giving you 1,309

equation: 109×12

109x12= 1,308 miles Tanji hockey

Qual a velocidade média de um carro que percorreu 75km em 3h?
Vm = d
t

Answers

Answer:

please write in English

-6+x_>4..................

Answers

Answer:

x > 10

Step-by-step explanation:

you add 6 to each side

-6 +6 = 0 (cancels out)

4 + 6 = 10

x>10

Hope this Helps  :)

What is 18/25 simplified and can it be simplified?

Answers

Answer:

That is a simplified as it can get.

Step-by-step explanation:

Answer:

it is already simplified so no it cant be simplified

Step-by-step explanation:

18 is an even number 25 is an odd number

Identify the equation that describes the line in slope-intercept form.

slope =2; y-intercept =−4

Answers

Answer:

Y=2x-4

Step-by-step explanation:

Answer: y= 2x-4

Step-by-step explanation: The slope intercept form is y=mx + b . M is equal to the slope and b is equal to the y intercept. Substitute in accordingly.

Determine two coterminal angles (one positive and one negative) for the given angle.
-36

Answers

Positive: 324 degrees
Negative: -396 degrees
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