7. Mahmoud runs to a marker and back in 15 minutes. His speed on
the way to the marker is 5 m/s and his speed on the way back is
4 m/s. Find the distance to the marker.​

Answers

Answer 1

Answer:

2000 meters

Step-by-step explanation:

From the above question

Total time = 15 minutes

Converting minutes to seconds

1 minute = 60 sec

15 minutes = x

Cross Multiply

x = 60 × 15 = 900 seconds

Hence, 900 seconds = Total time

Total time = Time to the marker + Time from the marker

From the question, we are given the Speed to the marker = 5 m/s

Speed from the marker = 4 m/s

Time = Distance/speed

Let the distance be represented by x

Hence:

x/4 + x/5 =900

Multiply all through equation by Lowest Common Denominator = 20

5x + 4x= 900×20

9x = 900 ×20

Divide both sides by 9

9x/9 = 900 × 20/9

x = 2000 meters

Therefore, the total distance to the marker = 2000 meters


Related Questions

6 Write the phrase as an algebraic
expression
A number decreased by seven

Answers

Answer

x-7

Step-by-step explanation

Let x = unknown number

= x decreased by 7

= x-7

[tex]\huge\text{Hey there!}[/tex]

“ [tex]\large\text{A number decreased by seven}[/tex]”

[tex]\large\text{Whenever you see or hear the word \underline{decrease} in mathematics it usually}\\\large\text{means \underline{SUBTRACT} , so you are taking away a number. You are usually going}\\\large\text{\underline{DOWNWARD}}[/tex]

[tex]\large\text{The phrase \underline{a number} usually means that you have an \underline{unknown variable}}[/tex]

[tex]\large\text{Now that have that little GUIDE for you to follow by for this equation,}\\\large\text{lets ANSWER your given equation}[/tex]

[tex]\large\text{We can say your unknown variable is going to be labeled as \bf s}[/tex]

[tex]\large\text{REMEMBER we said that DECREASED means subtract or taking}\\\large\text{away!}[/tex]

[tex]\large\text{Seven will simply be 7 because you have that information already}\\\large\text{in your algebraic expression}[/tex]

[tex]\large\text{Based on the given information we did, we have reached your answer}[/tex]

[tex]\large\text{= \bf s - 7}[/tex]

[tex]\boxed{\boxed{\large\text{Answer: \huge \bf s - 7}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Write the equation of the line in slope-intercept form

Answers

Answer:

y=x

Step-by-step explanation:

m=1 b=0

(1/1) (Rise/run) (0)(y-intercept)

y=1x+0

y=x

Cameron created a composite figure by stacking three cubes the cubes measure 2 inches on each side  what is the volume of the composite figure

Answers

Answer:

24 cubic inches.

Step-by-step explanation:

The volume of one cube = s * s * s or s^3

s = 2 inches

V = s^3

V = 2 * 2 * 2 or 2^3

V = 8 cubic inches.

The volume of 3 of them is 8*3 = 24 cubic inches.

A triangle has one angle that measures 100 degrees. If the other two
angles are isosceles, what is the measure of these two angles? (Have to submit In 15 minutes)

Answers

Answer:

40

Step-by-step explanation:

180 -100 = 80

80/2 = 40

I NEED HELP PLS, WILL MARK BRAINLIEST

Answers

Answer:

this is the answer hope it helps

Which is the solution to the inequality --4x+6 3 2x?

Answers

Answer:

a. x>_1

Step-by-step explanation:

-4x+6<_2x

6<_2x+4x

6<_6x

1<_x

x>_1

Tell me the answer please. Give me a short answer and a step-by-step explanation.

Answers

at week six they would end up with the same amount of money. you just add $5 to andres and $20 to elenas starting amount and just go week by week until they end up with the same amount

A number increased by 7 is 4 less than twice the number. Write the equation and solve

Answers

Answer:

The number must be bigger than 7 for the equation be true

If you put x= 7 or x= 6...it will not be true

Step-by-step explanation:

x+7< 2x

7< x

x> 7

Example x=9          

9+7 < 2x9

16< 18  TRUE

The equation is x + 7 = 4 - 2x. Then the solution of the equation will be negative 1.

What is the solution to the equation?

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

A number increased by 7 is 4 less than twice the number.

Let the number be 'x'. Then the inequality is given as,

x + 7 = 4 - 2x

Simplify the equation, then we have

x + 7 = 4 - 2x

x + 2x = 4 - 7

3x = - 3

x = -3/3

x = -1

The equation is x + 7 = 4 - 2x. Then the solution of the equation will be negative 1.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

#SPJ2

In a local 8-ball league, players are issued a handicap based on their ability. The handicap is used to adjust scores between players of different ability levels. The better a player is, the lower his or her handicap will be. What type of correlation exists between the skill of a player and his or her handicap?

Answers

Answer:

Negative correlation

Step-by-step explanation:

Correlation analysis is used to measure the type and degree of relationship which exists between two or more independent variables. Relationship between variables may be classed as Negative or positive depending on the nature or behavior of one variable relative to the other. Positive relationship exists when an increase on one variable leads to a corresponding increase in the other other variable.

However, in the scenario described above, handicap decreases with player quality that is the better a player is, the lower the handicap ; similarly, a player with higher handicap with have low quality, this is Hence a classic scenario of Negative correlation or relationship.


What is the scale factor from AABC to ADEF?

Answers

Answer:

C. 1/12

Step-by-step explanation:

The scale can be calculated by comparing side lenghts

AC is similar to FD and AB is similar to  FE and BC is similar to ED

AB = 2 and FE = 24 so AB/FE is = 2/24 that's simplified is 1/12

I need help ASAP pls

Answers

Answer:

72

Step-by-step explanation:

trust meh

Yeah the answer is 72

9(2b - 6)
Help I tried 6 times...​

Answers

Use distributive property.

18b-54

At a local animal shelter last week, 1/4 of the pet adoptions placed cats into homes and 2/3 of the adoptions placed dogs. Hamsters, rabbits, and reptiles were also adopted. Which choice is the MOST reasonable for the part of the adoptions for cats and dogs? A) 1/12 B) 5/12 C) 1/2 D) 11/12

Answers

Answer:

B)5/12 Hope It Help

Step-by-step explanation:

Brainliest please

Answer:d I think?

Step-by-step explanation:


There are 32 founding members of an organization. The function y 3x + 32 can be used to determine the number of members in the organization
after 3 months.

Answers

what’s the question asking for hun? this is incomplete. i’ll definitely help in the comments.

HELP PLZZ !

Choose all that are correct.
15
The probability of a person being between 25-34 and owning stocks is
118
34
The probability of a person being between 25-34 or owning stocks is
118

Answers

Answer: A, C, and D

Step-by-step explanation:

The table shows the balances for 3 bank accounts.
Use this information to complete the statements below.

Answers

Can you put more details please so I can help!!!!

Ben is making waffles for his 3 friends. The recipe calls for cup of bleached 2/3 flour and 1/4 cup of wheat flour. What is the total amount of flour Ben needs to make the waffles?

Answers

Answer:

2 3/4 cups of flour

Step-by-step explanation:

If Ben makes waffles for three friend then the recipe needs to be multiplied by three. First I would find the common denominator of 2 / 3 and 1/ 4. Then, I would add them together to get the answer of 11/12. After that, multiply the amount of times you are making the recipe (3). Then simplify

The measure of an angle is 34 degrees. What is the measure of the supplementary angle.

Answers

Answer:

146

Step-by-step explanation:

Supllementary angles add up to 180 degrees.

180-34 = 146

what is the value of 5 in 13,542 plz help

Answers

Answer:

500

Step-by-step explanation:

it is in the hundreths place

Answer:

Step-by-step explanation:

500 because it's in the hundredths place

10. Write an equation in Slope-Intercept Form of the line that is parallel to the graph of
each equation and passes through the given point.
y = 4x + 8
(4,2)

Original slope=

Parallel slope=

Equation=

Answers

Answer:

Original slope = 4

Parallel Slope = 4

Equation = y = 4x - 16

Step-by-step explanation:

y = 4x +8

* the slope is the same since it is parallel

2=4(4) + b

2=16 + b

-14=b

y = 4x - 16

how many £7.50 is there in £217.5?

Answers

Answer:

29

Step-by-step explanation:

217.5÷7.50=29

............ur welcome...............

multiple choice please help me ( links = report )

Answers

Answer:

Im gonna have to go with C :452.4 cm

Step-by-step explanation:

If this answer is correct please put me as brainliest, Thank you!

-Brainly User

Answer:

Hello Love! In this problem it gives you the diameter but when doing area we need the radius and remember radius is always half of the diameter so we are going to get 12 as are radius and square it so 12 × 12 = 144 now we just multiply by pi so 144 × 3.14 = 452.16 but sense we are rounding it it will be 452.4 so our answer is C

Suppose that when your friend was​ born, your​ friend's parents deposited ​$9000 in an account paying 6.9​% interest compounded . What will the account balance be after 17 ​years?

Answers

Answer:

the account balance after 17 years is $27,981.02

Step-by-step explanation:

Given that

The deposited amount i.e. $9,000

The Rate of interest is 6.9%

Time period = 17 years

We need to find out the account balance after 17 years

As we know that

Future value = Present value × (1 + rate of interest)^time period

= $9,000 × (1 + 6.9%)^17

=  $27,981.02

Hence, the account balance after 17 years is $27,981.02

On Wednesday 72% of the customers who bought gas at a gas station made additional purchases. There were 250 customers who bought gas.

How many of these 250 customers made additional purchases?

Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value.

Answers

Answer:180
180 of the customers made additional purchases
180 the answer is 180

the common diiference of an ap is 4 . the last term is 72 and the sum of all terms is 600. find the first term and the number of terms​

Answers

Answer:

a = - 24 ; n =25

a = 28 ; n = 25

Step-by-step explanation:

n = l - a/d + 1

d = common difference = 4

Last term = l = 72

n = 72 - a/4 + 1

4n = 72 - a + 4

4n = 76 - a

a = 76 - 4n - - - (1)

Sum of terms :

Sn = n/2(a + l)

Sn = 600

600 = n/2(a + 72)

1200 = n(76-4n +72)

1200 = 148n - 4n

4n² - 148n + 1200

Solving the quadratic equation :

Roots of n are :

12 and 25

From (1)

n = 12

a = 76 - 4(12) = 28

n = 25

a = 76 - 4(25) = - 24

Hence,

a = - 24 ; n =25

a = 28 ; n = 25

The equation of a circle is x2 + y2 - 12y + 20 = 0
What are the coordinates of the center and the length of the radius of the circle?

Answers

Answer:

Center: (0, 6); radius = 4

Step-by-step explanation:

x^2 + y^2 - 12y + 20 = 0

We must complete the square in y.

x^2 + y^2 - 12y = -20

x^2 + y^2 - 12y + 36 = -20 + 36

x^2 + (y - 6)^2 = 16

(x - 0)^2 + (y - 6)^2 = 4^2

Center: (0, 6); radius = 4

if a translation has a coordinate notation of (x,y) --> (x+1,y-3) then what is the image of (4,-4)

Answers

Answer:

(5, - 7 )

Step-by-step explanation:

A translation rule of

(x, y ) → (x + 1, y - 3 )

means add 1 to the original x- coordinate and subtract 3 from the original y- coordinate, that is

(4, - 4 ) → (4 + 1, - 4 - 3 ) → (5, - 7 )

Jessica had 8 sheets of paper. Water spilled on 2 sheets, so she threw them in the recycle bin. She drew 7 stars on each remaining sheet. How many stars did Jessica draw?

Answers

Answer:

42

Step-by-step explanation:

The remaining sheets of paper can be find in this way:

8-2 = 6

for each sheet of paper she drew 7 stars, so the total can be find in this way:

6 x 7 = 42 stars

 What is the volume of this cone?

Answers

Answer: C

Step-by-step explanation:

Choose all that are like terms with 5x.
10x
-
2.
-7x
3x^2
-6
6x^4
0.5x

Answers

Answer:

the correct answer is 6x^4

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