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

30 POINTS IF U CAN HELP PLEASE. in the figure below, a tangent and a secant are drawn to a circle from the exterior point E. Suppose that EG=13 and ED=26. Find CD

Answers

Answer:

19.5  = CD

Step-by-step explanation:

The square of the tangent = the the whole secant times the outside part of the secant.

EG²= (ED)(EC)

13² = (26)(EC)

169 = 26EC

169/26 = EC

 6.5 + EC

Now  ED = EC + CD

         26 = 6.5 + CD

        26 - 6.5 = CD

           19.5  = CD

the area of a triangle is 162 square meters. the height is 18 meters. what is the base

Answers

1345533 is the answer because I want points

Answer:

Triangle Area = (1/2) * base * height

base = 2 * Area / height

base = (2 * 162) / 18

base = 324 / 18

base = 18 meters

Step-by-step explanation:

choose the number that is less than:3.15 x 10A.1.11 x 10B.9.9 x 10C.36,500D.3.26 x 10

Answers

The Answer is A……… hope this helps

Omar bought N packages of pencils each package had 15 pencils write an equation P to represent the total number of pencils Peque Omar bought.

I need Helppppp!!!!
plizzzz ​

Answers

Answer:

N x 15 = P

Step-by-step explanation:

The value of y varies directly with x.If x=25 then y=20 .a. find the value y when x=8 b. find the value of x when y=32

Answers

is that two problems in one?

add: 8x^2+7xy-6y^2, 4x^2-3xy+2y^2 and -4x^2+xy-y^2

Answers

Answer:

8x² - 5y² + 5xy

Step-by-step explanation:

8x² + 7xy - 6y² + 4x² - 3xy + 2y² - 4x² + xy - y² = (8x² + 4x² -4x²) + (-6y² + 2y² - y²) + (7xy - 3xy + xy) = 8x² - 5y² + 5xy

Julie is a cashier. She can ring up 12 customers in 9 mintesutes. At the rate, how many minutes does it take for her to ring up 4 customers?

Answers

Answer:

5.2

Step-by-step explanation:

ok so we need to find the unit rate( how many customers per minute) and thats 12 divided by 9 which is 1.3 minutes per customer so now we need to find what 1.3 minutes is x4 customers. This brings us to 5.2.

Please help me solve for n

Answers

To solve for N, you have to work backwards

1. Take off the absolute sigh

the absolute sign only means that the answer must be positive. So that means N could equal to positive and Negative

2. What is 1x6?

This process is called inverse operation. Where you have division, you have multiplications. The answer is 6.

3. The answer is 6 or negative 6, in the fact that -6 would equal to six in the absolute sign.

I hope this helped! If it's wrong blame me!

Sam the trainer has two solo workout plans that he offers his clients: Plan A and Plan B. Each client does either one or the other (not both). On Wednesday
there were 5 clients who did Plan A and 3 who did Plan B. on Thursday there were 7 clients who did Plan A and 9 who did Plan B. Sam trained his Wednesday
clients for a total of 6 hours and his Thursday clients for a total of 12 hours. How long does each of the workout plans last?
Length of each Plan A workout:
Length of each Plan B workout:

Answers

Answer: 45 minutes for BOTH workouts

Step-by-step explanation:

Let time for plan a be x

Let time for plan b be y

On Wednesday

# of clients for plan a are 5

# clients for plan b are 3

On Thursday

# of clients for plan a are 7

# of clients for plan b are 9

Wednesday eqn --> 5x+3y=6

Thursday eqn --> 7x+9y=12

Multiply Wednesday equation by -3 and use elimination to solve

-15x-9y=-18

7x+9y=12

-8x=-6

x=6/8

Reduce: x=3/4 hour

Substitute x=3/4 into Thursday equation

7(3/4)+9y=12

9y=27/4

y=3/4

Therefore, the length of BOTH the plan a and plan b workouts were 45 minutes

Does anyone know this?
Blank #1____

Blank #2____

Blank #3____

Blank #4____

Answers

Answer:

12x2x8x

Step-by-step explanation:

Apparently, the values in the table are the products of the terms on the left and the terms on the bottom.

  (Blank 1) × 1 = 1   ⇒   (Blank 1) = 1

  (Blank 2) × 8x = 16x²   ⇒   (Blank 2) = 16x²/(8x) = 2x

  (Blank 3) = (Blank 1) × (Blank 2)   ⇒   (Blank 3) = 1 × 2x = 2x

  (Blank 4) = 8x × 1 = 8x

Answer:

1. 1

2. 2x

3. 2x

4. 8x

Step-by-step explanation:

For 18-20, factor each of the following and show work.

18. 5x^4 - 25x

19. 4x^2 - 9

20. x^2+8x+12

Answers

Step-by-step explanation:

20. x^2+8x+12

x^2 + 6x +2x + 12

X(X+6) + 2(X+6)

(X+2) (X+6)

18. 5x^4 - 25x

5x(x^3-5)

19. 4x^2 - 9

4x^2/4 -9/4 = 0/4

x^2 = 9/4

X=√9/4

Subtract
x + 3
O A.
-x + 13
; X = -3 or 1
1)(x + 3)
o
O
B.
-x + S
(x - 1)(x + 3)
:X #-3 or 1
O
7x + S
(x - 1)(x + 3)
;X #-3 or 1
o
D.
7x + 13
(x - 1)(x + 3)
;X *-3 or 1

Answers

Answer:

-3

Step-by-step explanation:

x

+

3

=

 

O

A

=

x

+

13

=

X

=

3

=

=

3

1

=

=

3

1

=

=

3

Steph makes 90 % 90%90, percent of the free throws she attempts. She is going to shoot 3 33 free throws. Assume that the results of free throws are independent from each other. Let X XX represent the number of free throws she makes. Find the probability that Steph makes exactly 1 11 of the 3 33 free throws. You may round your answer to the nearest hundredth. P ( X = 1 ) =

Answers

Using the binomial distribution, it is found that there is a 0.027 = 2.7% probability that he makes exactly 1 of the 3 free throws.

For each free throw, there are only two possible outcomes, either he makes it, or he misses it. The results of free throws are independent from each other, hence, the binomial distribution is used to solve this question.

Binomial probability distribution

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

x is the number of successes. n is the number of trials. p is the probability of a success on a single trial.

In this problem:

He makes 90% of the free throws, hence [tex]p = 0.9[/tex].He is going to shoot 3 free throws, hence [tex]n = 3[/tex].

The probability that he makes exactly 1 is P(X = 1), hence:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 1) = C_{3,1}.(0.9)^{1}.(0.1)^{2} = 0.027[/tex]

0.027 = 2.7% probability that he makes exactly 1 of the 3 free throws.

To learn more about the binomial distribution, you can take a look at https://brainly.com/question/24863377

Answer:

0.03

Step-by-step explanation:

I just did it on Khan

Which description best describes the three-dimensional object
that is formed when the shape is rotated about the axis as
shown?

Answers

Answer:

cylinder

Step-by-step explanation:

a cylinder would be formed, as the rotation forms a circular base and a rectangular body which can be seen in a cylindrical net.

Answer: A Hollow Cylinder

Write the slope-intercept form of the equation of the line.

Answers

Answer:

y = x + 2

Step-by-step explanation:

By doing the rise over run, the slope is 1

The y - intercept is 2

You plug the numbers in the equation y = mx + b

y = x + 2

What is the equation of the line that passes through the points (-4, 2) and (-2, 10)?

Answers

Answer:

y=4x+18

Step-by-step explanation:

HOPE THIS HELPS :)

please help me asap ty ty ty ty ty ty ty ty ty ty ty ty ty ty ty ty tyt ty ty

this is like the other question i just posted, but this one is subtraction instead of addition..

Answers

Answer:

y = x/2 + -3

Step-by-step explanation:

x - 2y = 6

Subtract x from both sides

-2y = -x + 6

Divide both sides by -2

y = x/2 + -3

Answer:

y = 1/2x - 3

Step-by-step explanation:

Subtract x both sides

-2y = 6 + (-x)

Divide -2 both sides

y = -3 + 1/2x

y = 1/2x - 3

What is the value of e?

Answers

60+69=129
e equals 129
The answer is 129

Which expression represents how many years are in X months

Answers

Answer:

12 months is one year so the expression is:

Step-by-step explanation:

2year = 2(X)

so you know one year 12 months you can put 12 on the x value

2 years = 2(12)

2 years = 24 months

The cost of a jacket increased from $60.00 to $71.40. What is the percentage increase of the cost of the jacket?

Answers

Answer:

19%

Step-by-step explanation:

Percentage increase = ( (final value - original value) / original value ) x 100

= ( ($71.40 - $60.00) / $60.00 ) x 100

= 19%

[tex]71.40 - 60 = 11.40[/tex]

to find the increase of percentage, divide the amount of increasing price with intial price and multiply with 100%

[tex] \frac{11.40}{60} \times 100\% = 19\%[/tex]

so the cost of jacket has increased 19%

A restaurant customer left ​$2.60 as a tip. The tax 6% was and the tip was ​20% of the cost including tax.
a. Which information is not needed to compute the bill after tax and​ tip?
b. What was the total​ bill?

Answers

Based on the tip left and its proportion of the total bill, the following answers are true:

a. The tax rate is not needed to compute the after tax and tip bill b. The total bill is $13.00

A tip of $2.60 was left and this is said to be 20% of the bill including the tax.

The total bill is therefore:

Tip = Total bill x 20%

2.60 = Total bill x 20%

Total bill = 2.60 / 20%

= $13.00

We can see that the tax rate was not needed to compute the total bill.

In conclusion, the tax rate was irrelevant and the total bill was $13.00.

Find out more about taxes and tips in bills at https://brainly.com/question/24976122.

A mosquito flies at a speed of 40.2 meters per minute.

At this rate, how many meters can it fly in 5 minutes?

PLZ HELP

Answers

Answer:

201

Step-by-step explanation:

40.2*5=201

201 meters per minute

PLS HELP ILL MArk BRAINLIEST!!

Answers

it should be 960 because it’s length x width x height

960 cubic ft

Step-by-step explanation:

I'm just super smart looool

A farmer picks 8 oranges in 2 minutes. The farmer continues to pick oranges at this rate. How many minutes does it take the farmer to pick 56 oranges?

Answers

Answer:

it takes the farmer 14 minutes to pick 56 oranges.

Step-by-step explanation:

8 Oranges in 2 minutes. To find the number pick in 1 minute, we need to divide the number picked by the amount of time it took.

8/2=4

Now we know the farmer picks 4 oranges in a minute. So to fid how many minutes it took to pick a certain number of oranges, we need to divide that number by four.

56/4=14

I takes 14 minutes for the farmer to pick 56 oranges.

The farmer picks the 56 oranges in 14 minutes.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
As given in the question, A farmer picks 8 oranges in 2 minutes. The farmer continues to pick oranges at this rate is to be determined.

unit rate of picking oranges = 8 / 2  = 4 oranges per minute
Now,
Time to pick 56 oranges = 56/4
                                      = 14 oranges

Thus, the farmer picks the 56 oranges in 14 minutes.

Learn more about simplification here:

https://brainly.com/question/12501526

#SPJ2

What are the factors of
[tex] {x}^{2002} - 1[/tex] ?
I want step-by-step explanation. Spam free answer required

Answers

Step 1: Trying to factor as a Difference of Squares:

Factoring:  x²⁰⁰² - 1

Theory : A difference of two perfect squares,  A² - B²  can be factored into  (A+B) • (A-B)

Proof :  (A+B) • (A-B) =

A² - AB + BA - B² =

A²  - AB + AB - B²

 A² - B²

Note :  AB = BA is the commutative property of multiplication.

Note :  - AB + AB equals zero and is therefore eliminated from the expression.

Check : 1 is the square of 1

Check: x²⁰⁰²  is the square of  x¹⁰⁰¹

Factorization is :       (x¹⁰⁰¹ + 1) × (x¹⁰⁰¹ - 1)

1. If y varies directly as x, and y=8 when x=4. Find y when x=10, the constant of variation and the equation of variation.

2. If y varies directly as x, and y= 0.9 when x= 0.3. Find y when x= 1.5, the constant of variation and the equation of variation.

3. If y varies inversely as, and y= 10 when x=1/2. Find x when y= 3, the constant of variation and the equation of variation.

4. If v varies jointly as w and u, and v=14 when w=7 and u=13. Find v when w=3/4 and u=6, the constant of variation and the equation of variation.

5. If m varies directly as n and inversely as p and m=9 when n=2 and p=1/3. Find m when n=1/2 and =1/3, the constant of variation and the equation of variation.​

Answers

1. This is a ratio question in disguise.

By parts of the question: "When y varies directly with x" -> y/x

"if y=8 when x=4" -> y/x = 8/4

"how do you find y when x=5" -> y/x = 8/4 = y/5

so  -y  = 8x5/4 = 10

That's all i got..

PLEASEEEE WILL GIVE BRAINLIEST TO FIRST RIGHT ANSWER!!!!!!!!!!

Find the solution of the system of equations.
-2x-6y=50
-2x+9y=-40

Answers

Answer:

i think x = -7, y = -6

Step-by-step explanation:

good luck

2.5 times 1.75 times 2.49

Answers

Answer:

The answer to this equation is 10.89375

which ordered pair is not in the solution set of y>-1/2x+5 and y_<3x-2

1 (5,3)
2 (4,3)
3 (3,4)
4 (4,4)

Answers

Answer: Choice B  (4,3)

===========================================================

Explanation:

Lets go through the points one by one

So we'll try (5,3) first. Plug x = 5 and y = 3 into the first inequality

[tex]y > -0.5x+5\\3 > -0.5*5+5\\3 > -2.5+5\\3 > 2.5[/tex]

We get a true result so (5,3) is a solution to the first inequality. Now check the second inequality.

[tex]y \le 3x-2\\3 \le 3(5)-2\\3 \le 15-2\\3 \le 13\\[/tex]

That's also true. Therefore, the point (5,3) is a solution to the system overall.

Your teacher wants you to find a non-solution, so we must cross choice A off the list.

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

Let's now try choice B. We have x = 4 and y = 3

[tex]y > -0.5x+5\\3 > -0.5*4+5\\3 > -2+5\\3 > 3[/tex]

That last inequality is false. It's not possible to have a number larger than itself (or smaller than itself). So (4,3) is not a solution to the first inequality. We don't need to check the second inequality as we found the answer.

Will mark brainly!! :)

What is the inverse of [tex]f(x)=-2x+7\\[/tex]
[tex]f^{-1} (x) =2x-\frac{7}{2}[/tex]
[tex]f^{-1} (x)=-2x+7[/tex]
[tex]f^{-1} (x)=\frac{1}{2}x-\frac{7}{2}[/tex]
[tex]f^{-1} (x)=-\frac{1}{2} x+\frac{7}{2}[/tex]

Answers

Answer:

[tex] {f}^{ - 1} (x) = - \frac{1}{2} x + \frac{7}{2} [/tex]

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