Harriet and tom run and walk, respectively, a 12 mile course
they both want to finish the course together at the same time
tom sets off at 8:15
am and walks at a constant speed of 4 mph
Given that Harriet runs at a constant speed of 8 mph, at what time should she set off

Answers

Answer 1

Answer:

t = S / v      time = distance / speed

For Tom   t = 12 m / 4 mph = 3 hours to cover course

Tom will finish at 8:13 + 3 = 11:15

th = 12 m / 8mph = 1.5 hours to cover course

11:15 - 1.5 = 9:45       time Harriet should start to finish in 1.5 hours


Related Questions

Can someone please help me with this one? Tysm! ^^

Answers

2/3 x 3/4 =6/12=1/2
(Multiply numerators, multiply denominators, simplify)

Alex drove from home to her office and back. It took two hours less time to get there than it did to get back. The average speed on the trip there was 50 km/h. The average speed on the way back was 30 km/h.
Let t be the time it took to go to the office from home
The distance Alex drove from home to her office and back is...

Answers

Answer:

The total distance is 220km. Explanation is in the picture. Pls give brainliest. :D

David is deciding between two parking garages. Garage A charges an initial fee of $7 to park plus $3 per hour. Garage B charges an initial fee of $4 to park plus $4 per hour. Let A represent the amount Garage A would charge if David parks for t hours, and let B represent the amount Garage B would charge if David parks for hours . Write an equation for each situation , in terms of t, and determine which garage would be cheaper if David needs to park for 2 hours .

Answers

Answer:

Step-by-step explanation:

Garage A = 7+3t

Garage B = 4+4t

Garage A = 7+6

Garage B = 4+8

B = Cheaper

Answer:

A = 3t + 7, B = 4t + 4, B is cheaper

Step-by-step explanation:

A = 3(2) + 7 = 6 + 7 = 13

B = 4(2) + 4 = 8 + 4 = 12

Solve for C if F = 77º. 5 C = (F-32) -​

Answers

Answer:

C = 25

Step-by-step explanation:

C = 5/9(77-32)

C = 5/9(45)

C = 25

The first equation in the following system gives a company's income, in dollars, for selling x baseball caps. The second equation gives the cost of making x baseball caps. Y = 8x y = -0. 01 x2 4x 3,200 The solution of the system is (400, 3,200). How would you interpret this solution?.

Answers

The solution of the equation can be determined by substituting the points in the equation and solving it.

The solution of the given equation would be interpreted by solving the equation for the value of x and y.

The solution of the equation is (400, 3200) and it can be determined by using substitution method.

Given that,

The first equation in the following system gives a company's income, in dollars, for selling x baseball caps.

The second equation gives the cost of making x baseball caps.

[tex]\rm y = 8x\\\\ y = -0.01 x^2 + 4x + 3200[/tex]

The solution of the system is (400, 3,200).

We have to determine,

How would you interpret this solution?

According to the question,

The first equation in the following system gives a company's income, in dollars, for selling x baseball caps.

The second equation gives the cost of making x baseball caps.

[tex]\rm y = 8x\\\\ y = -0.01 x^2 + 4x + 3200[/tex]

On solving both the equation,

Substitute y = 8x in the equation 2,

[tex]\rm y = -0.01 x^2 + 4x + 3200\\\\ 8x = -0.01 x^2 + 4x + 3200\\\\0.01x^2+8x-4x-3200=0\\\\0.01x (x+800) -4(x+800)=0\\\\(x+800)\ (0.01x-4)\\\\When \ \ x +800=0, \ x = -800\\\\And\ \ 0.01x-4 = 0, \ \ x = \dfrac{4}{0.01} \ \ x =400[/tex]

The value of x is not -800 because the cost can not be negative.

Then the value of x is 400.

Substitute the value of x in equation 1,

[tex]\rm y = 8x\\\\y = 8(400)\\\\y = 3200[/tex]

Hence, The solution of the equation is (400, 3200).

For more details about System of Equation refer to the link given below.

https://brainly.com/question/281027

I need help with this

Answers

Square + Circle = 10Triangle + Triangle = 6Triangle + Circle = 5Firstly, we will solve for triangle:Here, Triangle + Triangle = 6So, 2 Triangles = 6or, Triangle = 6 ÷ 2or, Triangle = 3So, the value of Triangle is 3.Now, let us solve for Circle:Triangle + Circle = 5We know, Triangle = 3Therefore, 3 + Circle = 5or, Circle = 5 - 3or, Circle = 2Finally, we can easily solve for Square:Square + Circle = 10or, Square + 2 = 10or, Square = 10 - 2 = 8

Answers:

Square = 8Triangle = 3Circle = 2

Hope you could get an idea from here.

Doubt clarification - use comment section.

A company rents out 15 food booths and 22 game booths at the county fair. The fee for a food booth is $175 plus $8 per day. The fee for a game booth is $80 plus $7 per day. The fair lasts for d days, and all the booths are rented for the entire time. Enter a simplified expression for the amount, in dollars, that the company is paid.​

Answers

Answer: ($2100+96d) + ($2755+116d)

               = $4855+212d

48/?=6

56/?=8

Help me!

Answers

3. the answer is 8

6. the answer is 7

Answer:

48/8=6

56/7=8

Step-by-step explanation:

48÷ 8 = 6

56÷ 7 = 8

PLZZ I NEED HELP ASAP!!! Due in 12 minutes!!!!
24 points!!!!


The map shows the location of the airport and a warehouse in a city. Though not displayed on the map, there is also a factory 72 miles due north of the warehouse.


Coordinate grid shown from negative 54 to positive 54 on x axis at intervals of 9 and negative 54 to positive 54 on y axis at intervals of 9. A straight line is shown between the points labeled Airport and Warehouse. Airport is the ordered pair negative 27, 36, and Warehouse is the ordered pair 27 and negative 36. A signage showing directions North, South, East, and West is shown in the empty quadrant on the graph.
A truck traveled from the warehouse to the airport and then to the factory. What is the total number of miles the truck traveled? (5 points)

54 miles
72 miles
144 miles
162 miles

Answers

144 miles as you can see from the slope in the graph
It would be 54 miles

Mark has some candy bars that he wants to give away. He is going to give each person 28 of a bar, and he has 4 bars to give away. Determine the number of people who will get a piece of the candy bar.

helppppppp!!!!! 22 points!!!

Answers

Answer:

7 people

Step-by-step explanation:

Identify the slope in the following equation: y= -x + 7
PLEASE HELP!!!!

Answers

Answer: The slope is -1 because this equation is already in y=mx+b so we dont have to apply the y2-y1 over x2-x1 formula you can easily identify the slope when its in y=mx+b because the slope always has a x after the number for example: 4x

Answer:

It is the coefficient of the x, when the y is isolated. In this case it is -1.

What is the product of 10 and 9 divided bye 24 in simplest radical form?

Answers

Answer:

15/4

Step-by-step explanation:

You do 10*9 which is 90. Then divide it by 24 to get 90/24 and simplify it by dividing the numerator and denominator by 6

Martin measure the length of his window he measures 26 inches the actual of the window was 25 inches what percent of this an era is this

Answers

Answer:

4% maybe

Step-by-step explanation:

Factor 2x^2 - 4x - 30 =0 ( divide by 2 first!)

Answers

Answer:

Let's apply the quadratic formula:

x

=

4

±

4

2

4

(

2

)

(

30

)

2

(

2

)

x

=

4

±

16

+

240

4

x

=

4

±

256

4

x

=

4

±

16

4

x

=

1

±

4

x

=

5

,

3

Therefore, the solutions to the equation are

x

=

5

and

x

=

3

.

.

Step-by-step explanation:

Explanation:

All the terms in the equation are even, so we can divide by 2 immediately to make the numbers smaller.

2

x

2

+

4

x

30

=

0

x

2

+

2

x

15

=

0

Try to factor before we use loner methods of the quadratic formula or completing the square.

Find factors of 15 which subtract (because of -15) to give 2.

The signs will be different (because of -15), there must be more positives. (because of +2)

5 and 3 will work!

5

×

3

=

15

and

5

3

=

2

(

x

+

5

)

(

x

3

)

=

0

Putting each factor equal to 0 gives the solutions:

x

=

5

or

x

=

3

Answer:

(x+3)(x-5)

Step-by-step explanation:

2x²-4x-30 = 0

devide by 2

; x²-2x-15 = 0

(x+3)(x-5) = 0

: Ram lived in a small village. When he left for a college in a city, the population of his village was 840. When he came back, the , population had grown by 5%. What was the nopulation he found?​

Answers

Answer:

882

Step-by-step explanation:

840 : 100 x 105 = 882

9x-5y=2
3x-4y=10
can anyone please explain how the answer of this question is:
x=-4
y=-2

Answers

Answer:

9x-5y=2======>9x-5y=2===>(+)7y=-28=>y=-4=>(1)3x-4(-4)=10=>x+16=20=>x=4

3x-4y=10(1)=>(×-3)-9x+12y=-30=>(+)

ANSWER: x = -2 ; y = -4
Ok done. Thank to me :>

What is the slope-intercept equation of the line below?
O A. y=-2x+1
B. y = 2x + 1
Oo
C. y = -2x-1
O D. y = 2x-1

Answers

Answer:

C

Step-by-step explanation:

It has a negative slope and it crosses the y axis at -1

Please Can you subtract the given problem from scientific notation to notation. Step by step please​

Answers

Answer:

367(3.67*100)-16(1.6*10)=351

Hope This Helps!!!

[tex]\\ \sf\longmapsto 3.67\times 10^2-1.6\times 10^1[/tex]

[tex]\\ \sf\longmapsto 3.67(100)-1.6(10)[/tex]

[tex]\\ \sf\longmapsto 367-16[/tex]

[tex]\\ \sf\longmapsto 351[/tex]

Billy has a $40 gift card. She spends $10 per week. Write a linear equation for this situation.

(Hint: Use y = mx + b, where y is money remaining, m is loss per week, and b is the starting money.)

Answers

y = -10x + 40
She has $40 to begin with and spends $10 per week.

6. If the pattern continues, what would be the ninth number in the pattern?

4 8, 12, 16___

( full question on pic )

Hi! can someone help me please, thank u!

Answers

20 would be the answer. Your counting by 4s

Answer:

20

Step-by-step explanation:

You're counting by 4's. Which are the following 4,8,12,16,20 and so on. Hope this helps :D

Hi guys need some help with this one question thanks

Answers

The answer Y = 1/3x - 6

Answer:

y=(-1/4)x+(-6)

Step-by-step explanation:

slope is (-1/4) and the y intercept is (-6)

slope intercept form is

y=(-1/4)x+(-6)

Don't put parentheses in answer.

There are 3 yellow, 3 green, and 3 red pens in a jar. Each day Michelle selects a pen without looking, uses the pen, and then replaces it in the jar. Over 14 days she selects a red pen 6 times. Compare the theoretical and experimental probabilities of this experiment.
(Hint: Calculate the theoretical probability and experimental probability
separately)

Answers

Theoretical Probability: she will pick the red pen 4-5 times in the 14 days (14days/3options=4.667times picked over the duration of the time allotted).

Experimental Probability: she picks the red pen 6/14 times

So the experimental is 1-2 times more than predicted via theoretical probability

Translate. Eight less than the difference of a number and five is twelve.

Answers

Answer:

(x - 5) - 8 = 12

Step-by-step explanation:

Lets portion each part out:

Eight less than

The difference of a number and five

Is twelve.

First, we must write down the portion with "a number" in it: x - 5. We use subtraction because the sentence states "the difference".

Next, we will write down "eight less than". The problem states that twelve is "eight less than" the difference. This means that we must subtract 8 from out first part: (x - 5) - 8

Finally, the sentence tells us that this equals twelve: (x - 5) - 8 = 12

What is the domain???????

Answers

Answer:

H

Step-by-step explanation:

The domain is the values of x in a function.

The graph appears to extend infinitely to the right and left going from the x value 1

From what it looks like the two lines never touch or go over the x value 1 and extend infinitely to the right and left meaning that the values of x of the function are all real numbers but x = 1.

This can be written as {x | x ≠ 1 }

The answer is H

So, from what I can tell, I think the domain is H. Domain is the range of all X values, so you can see that the graph doesn’t include, or avoids the x value(s) of positive one. So I believe, based on your answer, it is option H

This is due in 20 minutes. Please help!!!
1. A store buys a t-shirt for $3 and sells it for $12. What percent did the store mark up the price?
2. Cost to store: $50. Markup: 10%. Selling price: $?
3. You are buying a new video game system. Which store should you buy the system from? (The picture)
4. A jacket costs $80. It is on sale for 35% off. What is the discount? $?
5. A suit costs $95. It is on sale for 20% off. How much are you saving? $?
6. A $120 pair of shoes is on sale for 35% off. What is the sale price? $?
7. You started making bracelets to sell to earn some money. If it costs you $2 to make each bracelet, how much should you charge for each one to make a 50% profit?

Answers

Answer:

1.400%

2. 55$

3. C

4. 28

5. 19

6. 78

7. 1$

WILL MARK SOMEONE BRAINLIEST!!!! The chart below shows the age of the volunteers for the local pet hospital. When combined which two age groups would be greater than the 27-39 age group?
A. 0-13 and 14-26
B. 0-13 and 53-65
C. 40-52 and 14-26
D. 53-65 and 14-26

Answers

Answer:

C

Step-by-step explanation:

60+80=140 which is definitely higher than 100-120

Answer:

C. 40-52 and 14-26

Step-by-step explanation:

The age groups that can be more than 120 in number as the 27-39 age group can only be 2 groups.

The 40-52 is an age group which has 80 in number and below it the 14-28 age group has 60 in age group.

60+80 is more than the 27-39 ager group by 20 in number. Therefore, the C. 40-52 and 14-26 age groups are the 2 groups that have more than the 27-39 age group.

sin2A + sin5A - sinA÷cos2A + cos5A + COSA=Tan2A​

Answers

Answer:

That is the correct answer

Step-by-step explanation:

AND the whole solution I hope it helps to you

the length of a rectangle is 8 cm more than twice the width. the perimeter of the rectangle is 34 cm. what is the length of the rectangle

Answers

Answer:

14 cm

Step-by-step explanation:

let the length of the triangle be x and the width be y

x = 2y+8

2x + 2y = 34

2(2y + 8) + 2y = 34 (since x = 2y + 8)

6y + 16 = 34

6y = 18

y = 3

x = 2y + 8 = 2(3) + 8

x = 6 + 8

x = 14

( pls mark me the brainliest)

f(1)=−6
f(2)=−4
f(n)=f(n−2)+f(n−1)


f(3)=f(3)=f, left parenthesis, 3, right parenthesis, equals

HURRY!!!!

Answers

f(3) = f(3-2) + f(3-1)
f(3) = f(1) + f(2)

then substitute using the values given so
f(3) = -6 + -4
so f(3) = -10

the value of function at n = 3 is  f( 3 ) is - 10.

To find the value of f( 3 ), we can use the given recursive formula:

f(n) = f( n - 2 ) + f( n - 1 )

We already have the values of f(1) and f(2):

f(1) = - 6

f(2) = - 4

Now, let's apply the recursive formula to find f(3):

f(3) = f( 3 - 2 ) + f( 3 - 1 )

f(3) = f(1) + f(2)

f(3) = - 6 + (- 4)

f(3) = - 10

So, the value of f(3) is - 10.

Learn more about recursive formula here

https://brainly.com/question/32794966

#SPJ2

Which values of k would cause this system of equations to have no solution? Check all that apply. 6x 4y = 14, 3x 2y = k â€"2 5 7 10 21.

Answers

The values of k that will cause the system of equations to have no solution is; k = 7 and 21

We are given the simultaneous equations;

6x - 4y = 14

3x - 2y = k

Now, for both equations not to have a solution it means that x and y can't be made to be subjects.

Now, by inspection see see that the left hand side of the second equation when multiplied by 2 gives the left hand side of the first equation.

By implication, for both equations not to have a solution, k must also be multiplied by 2 to give 14.

Thus;

2k = 14

k = 14/2

k = 7

Also, since 21 is 1.5 multiplied by 14, it means that when we make 21 to be k, there will also be no solution.

Read more about simultaneous equations at;https://brainly.com/question/17671517

Answer:

-2, 5, 10, 21

A, B, D, E

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