Ray starts walking to school at a rate of 2 mi/h. Ten minutes later, his sister runs after him with his lunch, averaging 6mi/h.

Answers

Answer 1

Complete question :

Ray starts walking to school at a rate of 2 mi/h. Ten minutes later, his sister runs after him with his lunch, averaging 6mi/h. Determine take it takes for sister to catch up

Answer:

5 minutes

Step-by-step explanation:

Ray's rate = 2mi/ hr

Time walked before sister starts = 10 minutes = (10/60) = 0.16667 hours

Hence, distance already covered = (rate * time) = (2 * 0.16667) = 0.3333 miles

To catchup :

Let t = Time taken to catch ; At t, distance covered must be the same ; thus ;

0.3333 + (2 * t) = 6 * t

0.3333 + 2t = 6t

0.3333 = 6t - 2t

0.3333 = 4t

t = 0.3333 / 4

t = 0.0833333 hours

t = 0.0833333 * 60 = 5 minutes


Related Questions

Answer question 3. Please show you’re work.

Answers

Answer:

a. x = 11

b. 1 = 38

c . 2 = 55

Step-by-step explanation:

Here, we want to find the values of the marked angles

The two add up to give a right angle

Thus;

5x + 3x + 2 = 90

8x = 90-2

8x = 88

x = 88/8

x = 11

m1 = 3x + 5

substitute for x

m1 = 3(11) + 5 = 38

m2 = 5x

= 5(11) = 55

Patrycja goes shopping in a supermarket.
Patrycja buys 12 bread rolls.
The bread rolls costs £4.44 altogether.
How much does one bread roll cost?

Answers

Answer:£0.37

Step-by-step explanation:

£4.44/12=£0.37

I’ll mark brainliest!
Probability.
Easy.

Answers

Answer:

18 people used bus

Step-by-step explanation:

now give me brainliest

A car travels 2 5/8
miles in 3 1/2
minutes at a constant speed. Which equation represents the distance, d, that the car travels in m minutes?
Ad = 0.75m
B. d=14 m
C. d = 3.5m
D. d = 2.625m

Answers

Answer:

A. d = 0.75m.

Step-by-step explanation:

If, for 3 1/2 minutes (3.5 minutes) the car travels 2 5/8 miles (2.625 miles),

Then in m minutes the car will travel d miles

d = (2.625*m)÷ 3.5

d = 0.75m

Which is option A

Malndkkdldlñdñsjakso

Kerry walks 3 miles each day. How far will she walk in 7 days?

Answers

Answer:

21 so yea         give it a like bc why not lolz

DO YOU LIKE MARVEL
IF YOU DO SAY YES AND WHO IS YOUR FAVOUTITE CHARACTER

Answers

Answer:

I love Spider-Man and its entire series and the comics.But my most favorite is Black Panther not cause he died its just because I believe that its cool that marvel portraits a black superhero since nick fury

No, I Dont like marvel...

I LOOOOOOVVVEEEE MARVELLLL!!!!

And BY BY FAR SPIDERMAN IS MY FAVOURITE!!!

lol great question!

MTFBWY

Please help! I need to do well on this!

Answers

Answer:

The answer is a

Step-by-step explanation:

Question 5
2 pts
(9x + 16)°
(5x - 14)
The value of
is
The measure of the exterior angle is
degrees

Answers

Answer:

Value is 15 and measure is 151

The table shows the balance of an account each year.

Years Balance
0 $40
1 $42
2 $44
3 $46
What is the interest rate of the account?

Answers

Answer:

+2 each year. 40+(2+y), y being years.

I'm so confused
At the beginning of the school year, the number of students in the band was the same as the number of students in the choir. Throughout the school year, the number of students in the band decreased by 8, and the number of students in the choir decreased by 4. At the end of the school year, the number of students in the choir was 25% more than the number of students in the band. How many students were in the band at the beginning of the school year?

At the beginning of the school year, _________ students were in the band

Answers

Answer: 16............................

Answer:

16

Step-by-step explanation:

4=25%

Solve the equation

9
- =18
X

Answers

Answer:

x=-0.5

Step-by-step explanation:

the question is -9=18x

we divide both sides by 9

-1=2x

divide both sides by 2

x=-0.5

i need help please!1

Answers

Answer:

for the first picture, she cleans 30 windows

the second picture is 52/100 :)

Answer:

It's B for the first one.

For the second one, it is C

Step-by-step explanation:

30 * 0.3 = 9

So 30% of 30 is 9. She did 9 windows.

0.52 = 52/100

It's 52/100 because 0.52 = 52%. 52% then equals 52/100.

52/100 = 13/25

So the answer is 13/25

Which ratios form a proportion?
4/11 and 6/13
3/5 and 9/25
4/9 and 9/4
4/10 and 10/25

Answers

D is the correct answer because 4/10=0.40 and 10/25=0.40

Answer:

D

Step-by-step explanation:

I think there are more than one proportions but I don't know so I just agree with the other guy

what will be the new coordinate of vertex b if the triangle is dilated with a center at the origin by a scale factor of 1/3

Answers

Answer:

6 , 3

Step-by-step explanation:

your welcome

The new coordinate of vertex B if the triangle is dilated with a center at the origin by a scale factor of 1/3 is (1,2) and this can be determined by using the given data.

Given :

Dilation Factor = 1/3Points - A(-2,2), B(3,6), and C(1,-2)

After the dilation of 1/3 the coordinate of the triangle becomes:

[tex]\rm A(-2,2) \to A'(-2\times \dfrac{1}{3},2\times \dfrac{1}{3}) = A'\left(\dfrac{-2}{3},\dfrac{2}{3}\right)[/tex]

[tex]\rm B(3,6) \to B'(3\times \dfrac{1}{3},6\times \dfrac{1}{3}) = B'\left(1,2)[/tex]

[tex]\rm C(1,-2) \to C'(1\times \dfrac{1}{3},-2\times \dfrac{1}{3}) = C'\left(\dfrac{1}{3},\dfrac{-2}{3}\right)[/tex]

The new coordinate of vertex B if the triangle is dilated with a center at the origin by a scale factor of 1/3 is (1,2).

For more information, refer to the link given below:

https://brainly.com/question/20595275

I NEED HELPPPPPP PLEASEEE

Explain how to solve an equation of the form x^p/q = a for nonzero integers x, p, q, and a. What is x in terms of a, p, and q?​

Answers

Answer:

x = a^(q/p)

Step-by-step explanation:

See steps below, solving for x:

x^(p/q) = a  log x^(p/q) = log ap/q log x = log alog x = q/p log alog x = log a^(q/p)x = a^(q/p)

#3) Simplify: 5(j - 3) - (2j + 2) I might ask for help in a bit just plz help I’m not good with math

Answers

Answer:

5j-15-2j+2=   3j-13

Step-by-step explanation:

5 times j

5 times 3

minus the ones with the letters

then the ones without

and u get the answer

hope this helps!

A salesperson earns a commission of a certain percentage on the original price of any items he helps you buy. The salesperson helped you select a new jacket that was originally 90$. He eared 5.76$ commission on this sale. What percentage of the original jacket price did the salesperson earn

Answers

Answer:

5.18%

Step-by-step explanation:

5.76 x 100 = 576

576 ÷ 100 = 5.184

5.184 = 5.18%

UPPER AND LOWER BOUNDARIES
People who understand please reply

a = 49.0 rounded to 1 DP
b= 7.62 rounded to 2 DP
Find the minimum of a - b

Answers

Answer:

The minimum of a - b is 41.325

Step-by-step explanation:

Let us solve the question using upper and lower boundaries

a = 49.0 rounded to 1 decimal place

∵ 1 decimal place means 0.1

→ Divide 0.1 by 2

∵ 0.1 ÷ 2 = 0.05

→ Add 0.05 to the rounded number to get the upper boundary

∵ 49.0 + 0.05 = 49.05

The upper boundary = 49.05

→ Subtract 0.05 from the rounded number to get the lower boundary

∵ 49.0 - 0.05 = 48.95

The lower boundary = 48.95

The range of a is 48.95 ≤ a < 49.05

b = 7.62 rounded to 2 decimal places

∵ 2 decimal place means 0.10

→ Divide 0.01 by 2

∵ 0.01 ÷ 2 = 0.005

→ Add 0.005 to the rounded number to get the upper boundary

∵ 7.62 + 0.005 = 7.625

The upper boundary = 7.625

→ Subtract 0.005 from the rounded number to get the lower boundary

∵ 7.62 - 0.005 = 7.615

The lower boundary = 7.615

The range of b is 7.615 ≤ b < 7.625

To find the minimum value of a - b, use the smallest value of a and the greatest value of b

The minimum of a - b = lower boundary of a - upper boundary of b

∴ The minimum of a - b = 48.95 - 7.625

∴ The minimum of a - b = 41.325

The minimum of a - b is 41.325

Solve: -6n + 5 < 11
Which graph shows the solutions?

Answers

Answer:

Step-by-step explanation:

If you follow the pythagorean therum you get a multiple of 6 then get the square root of six and that’s you answer

I need this pls helpp

Answers

Answer:

m∠7 = 63 degrees

m∠8 = 117 degrees

m∠9 = 63 degrees

Step-by-step explanation:

When two lines intersect at a point, then they formed 2 pairs of vertically opposite angles and 4 pairs of linear angles

The vertically opposite angles are equal in measuresThe linear angles have a sum of 180°

In the given figure

∵ There are two lines intersected at a point

∴ The angle of measure 117° and ∠8 are vertically opposite angles

∠7 and ∠9 are vertically opposite angles

∴ The angle of measure 117° and ∠7 are linear angles

∵ The vertically opposite angles are equal in measures

∴ The angle of measure 117° and ∠8 are equal in measures

m∠8 = 117°

∵ The sum of the measures of the linear angles is 180°

∴ m∠7 + 117° = 180°

→ Subtract 118 from both sides

∵ m∠7 + 117 - 117 = 180 - 117

m∠7 = 63°

∵ m∠7 = m∠9 ⇒ proved up

m∠9 = 63°

A spinner is divided into 10 congruent sections. Each section is labeled with a number as shown. The spinner will be spun one time. What is the probability that the arrow will land in a section that is labeled with a number that is a multiple of 2? 1 A U 9 un 6 3 B 1 10 2 09 4 1 1 / 2 UN​

Answers

Answer:

b

Step-by-step explanation:

A
B
C
D


I NEED HELP ASAP

Answers

Answer:

D

Step-by-step explanation:

ΔCBA ≅ Δ BCD

∠A = ∠D = 90°

BC = CB                  {hypotenuse and reflexive property}

BA = CD

D is the answer I swear.

evaluate 9-8/5 when s =4

Answers

Answer:

7

Step-by-step explanation:

you divide 8 and s which is 4

8/4 is 2

so 9 - 2 = 7

lol :)

Write a system of equations to describe the situation below, solve using any method, and fill in the blanks.


Norma is looking for a job cutting hair. One option is self-employment at The Seaside Salon, where she would pay $534 per month to rent a station and keep all of her earnings. Another option is to work at a franchise, where she would just have to pay the salon $3 for every haircut. If she performed a certain number of haircuts every month, the amount paid to either salon would be the same. How many haircuts would that be? How much would Norma pay?



If Norma performed__________ haircuts in a month, she would pay $____________ to either salon.

Answers

Answer:

If Norma performed 178 haircuts in a month, she would pay $534 to either salon

Step-by-step explanation:

Saloon 1:

Cost of saloon 1 = $534

Saloon 2:

Cost of saloon 2 = 3h

Where,

h = number of haircut

Equate the cost of renting either saloon

534 = 3h

h = 534 / 3

h = 178 hair cut

If Norma performed 178 haircuts in a month, she would pay $534 to either salon.

help me out :)) 2(5x-1)+3x !! simplify !!

Answers

13x-2. 2•5x=10x 2•-1=-2. 10x-2+3x=13x-2

Answer:

13x-2

lol :)

hope i could helped:)

Write the number 5.1 x 10^4 in standard form.

Answers

51,000 I’m pretty sure

The number  [tex]5.1 * 10^{4}[/tex] in standard form is 51,000.

Given data:

The number is represented as A.

Now, the value of A is expressed as:

[tex]A = 5.1 * 10^{4}[/tex]

From the laws of exponents:

A = 5.1 * 10000

On simplifying the expression:

A = 51,000

Therefore, the value of A is 51,000.

Hence, the standard form is 51,000.

To learn more about exponents,refer:

https://brainly.com/question/28966438

#SPJ6

1. On the sixth grade field trip, there are 2 teachers for every
9 students. If there are 63 students on the trip, how many
3-11
Name
Remembering
teachers are there?

Answers

Answer:

Divide 63/9=7

7*2= (the number of teachers) 14

There are 14 teachers for 63 students.

Answer:

teachers 2:9 students

63/ 9 = 7

7 X 2 = 14

teachers 14:63 students

there are 14 teachers

Identify the like terms.
7 + 4p - 5 + p + 2y

A: 4p, -5, 2y
B: 4p, p, 2y
C: 7, 5 AND 4p, p
D: 7, -5 AND 4p, p

Answers

Answer:

D:7, -5 AND 4p,p

Step-by-step explanation:

B/c like terms are terms with the same variable and exponent.

If it's helpful ❤❤

THANK YOU.

These box plots show the basketball scores for two teams.

Which statement is the most appropriate comparison of the spreads?

Answers

The answer is d I think

Answer: The interquartile range (1QR) for the Bulldogs, 20, is less than the IQR for the Wolverines , 30.

Step-by-step explanation:

Help please...........

Answers

Answer: A

Step-by-step explanation:

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