Nina and Jo both ran a 9 km race.
Nina took 1 hour 15 minutes to run the whole race.
Jo started the race 4 minutes later than Nina but caught up when they had both travelled 6 km.
If Nina and Jo both ran at constant speeds, what is Jo's speed to 2 dp?

Answers

Answer 1

9514 1404 393

Answer:

  7.83 km/h

Step-by-step explanation:

At her constant pace, Nina's time for 6 km will be found by the proportion ...

  (time for 6 km)/(6 km) = (time for 9 km)/(9 km)

  time for 6 km = (6 km)/(9 km) × (75 min) = 50 min

Jo's time for the same distance will be 4 minutes less: 50 -4 = 46 min. Jo's speed is ...

  speed = distance/time

  = (6 km)/(46/60 h) = 360/46 h ≈ 7.83 km/h . . . . Jo's speed

_____

Additional comment

From the 6 km point, the remaining race is half the distance already run, so will take half the time already taken. As we know, Nina will finish in 25 more minutes; Jo will finish in 46/2 = 23 more minutes, 2 minutes ahead of Nina.


Related Questions

x-10/3=5x+2/2 I need help with he next step please

Answers

Answer:

x2 the left side and x3 the right side of the equation

Answer:

X = -2

First you cross multiply, and then you expand to get 15x+6

after that its basic algebra with adding/subtracting from each side, simplifying, and then divide both sides by -13.

If the parent function is y = 4x, which is the function of the graph?

Answers

Answer: y=3(4)x

Explanation: I took the test

The function represented in the graph is y = 3 (4ˣ).

What is Function?

A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.

From the given graph, consider any point.

Consider the point (0, 3).

That is, when x = 0, the value of y is 3.

We have the parent function as,

y = 4ˣ

Then the function represented will be of the form,

y = m (4ˣ)

Substitute the point (0, 3).

3 = m (4⁰)

3 = m × 1   [since any number raised to 0 is 1]

m = 3

So the function is y = 3 (4ˣ).

Hence the function is y = 3 (4ˣ).

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Your question is incomplete. The complete question is as given below in the image.

Please help me with this problem

Answers

Hello this will be easy for you.

Look at the picture, you have the angle UTR which is of 90° degrees. Thus the angle UTS is also 90° .

But the sum of the angles of a triangle is by property equal to 180° so the angle UVT must be equal to 180-90-64 = 26°.

Now we are getting near to solve that x+8 degrees angle.

Recall that UVT is 26° ok ? So 180-26 = x+8

Thus

x+8 = 154

x = 154 - 8

x = 146

Finally the angle UVS = 154 and the value of x = 146

You can see all the angles in the image attached below

Good luck you will be the best

5x + 4y + 7x + y
Answer ?

Answers

Answer:

12x+5y

Step-by-step explanation:

add 5 + 7 because they both have x and add 4 and 1 because y couts as one so in the end you'll get 12x+5y

Answer:

Step-by-step explanation:

5x + 4y + 7x + y

Need to arrange all who have the same variable

=5x + 7x +4y + y

=12x+5y

geomtry plz help 15 points

Answers

Answer:

m∠A=88°

Step-by-step explanation:

∠ABC=∠ACB=46° (base angles of isos triangle)

           ∠BAC=180°-46°-46° (angle sum of triangle)

                     =88°

According to the Isosceles Triangle Theorem, if two sides of a triangle are congruent, then the angles opposite of those sides are congruent.

Therefore, in the triangle from the picture, m
Now applying the Triangle Sum Theorem, all interior angles of a triangle must sum up to 180°.

Therefore, m
We can create an Algebraic equation to find the angle measure of angle A because we know the angle measures of angles B and C, and we know all three angles must sum up to 180°.

46+46+x=180

x = the measure of angle A

92+x=180

92-92+x=180-92

x=88

Therefore, the measure of angle A is 88°.

Solve the equation 3x - 2(x + 1) = 2x - 7

Answers

Answer:

X=5

Step-by-step explanation:

Collect like terms then move the terms. Then collect liked terms. Calculate and Chang signs

Answer:

X = 5

Remember, x has a hidden one behind it, so it would be 1x

3x - 2(x + 1) = 2x - 7

Use the distributive property to multiply −2 by x+1.

3x−2x−2=2x−7

Combine 3x and −2x to get x

x−2=2x−7

Subtract 2x from both sides

x−2−2x=−7

Combine x and −2x to get −x

−x−2=−7

Add 2 to both sides

−x=−7+2

Add −7 and 2 to get −5

−x=−5

multiply both sides by -1

x=5

A chicken is born weighing 1 ounce. It gains 2 ounces each week.
Write an equation that shows the relationship between the chicken's age in weeks, x, and its
weight in ounces,

y = ?

Answers

Answer:

y = 1 + 2x

or

y = 2x + 1

Step-by-step explanation:

I hope this helps!

Let "x" represent the chicken's age.

"Y "demonstrates the ounces.

9.
Identify the point corresponding to Q.

IT'S NOT A. Q' (-3, -4)

A. Q′ (−3, −4)

B. Q′ (−4, 1)

C. Q′ (−1, −4)

D. Q′ (−4, −3)

Answers

Answer:

C(-1, -4)

Step-by-step explanation:

see the point reflected over the line through the vertex point

Answer:

D. Q′ (−4, −3)

Step-by-step explanation:

From looking at the graph it looks like the answer would be

Q= (3, -4) if the X-axis goes first

Q= (-4, 3) if the Y-axis goes first

Mr. and Mrs. Bruce took a boat trip which left Cala for Friends’ Island at 11:45 in the morning. The trip lasted for 1 hour and 20 mins. When did they arrive at Friends’ Island?

Answers

they arrived at 1:05

Write the equation of the function graphed below:

a. f(x) = 2x−−√3 –4
b. f(x) = 2x−−√3 + 4
c. f(x) =x−−√3 + 4
d. f(x) =x−−√3 – 4

Answers

Answer:

I have a couple questions before I answer, what do the 2 dashes represent and are the 4s also under the square root?

Write 5 • 5 • 5 • 5 • 5 • 5 • 5 using an exponent.

Answers

Answer:

5^6

Step-by-step explanation:

5 was multiplied repeatedly 6 times, so it's 5 to the power of 6

Answer:

5 to the power of 6 or 5^6

Step-by-step explanation:

5

Enter the correct answer in the box.

What is the standard form of function ?

f(x) = 4(x + 6)2 + 5

Substitute numerical values into the equation for a, b, and c.

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sin cos tan sin-cos

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vo 90

а в

S

tan

0

0

2 Δ

n

X

<

A

рф

CSC seccotlog logo

0

1

In

II

U

f(x)

ax? + bx + c

Darat

Naut

Answers

The standard form of the function is [tex]4x^2+48x + 149[/tex]

The standard form of an equation

The standard quadratic equation is expressed as:

[tex]y = ax^2 + bx + c[/tex]

Given the vertex form of an equation expressed as [tex]g(x) = 4(x + 6)^2 + 5[/tex]

Expand the expression:

[tex]f(x) = 4(x + 6)^2 + 5\\f(x) = 4(x^2+12x + 36) + 5\\f(x) = 4x^2+48x + 149\\[/tex]

Hence the standard form of the function is [tex]4x^2+48x + 149[/tex]

Learn more on standard form here: https://brainly.com/question/19169731

Are the ratios 6:1 and 19:3 equivalent?

Answers

Answer: no<3

Step-by-step explanation:

leave a thanks if helped plz

There are 25 students in a class, 7 of them will be chosen to go on a field trip. How many ways can these students be chosen.

Answers

Answer:

Step-by-step explanation:

order is not important so

25 ways to fill the first spot

24 ways to fill the second

23 ways to fill the third

...

19  ways to fill the 7th

25•24•23•22•21•20•19 = 2,422,728,000

which also equals 25! / (25 - 7)!

Describe the transformation of g(x)=4|x|

Answers

[tex]g(x) = 4 |x| = x = 0[/tex]

A die is weighted in such a way that each of 2, 4, and 6 is twice as likely to come up as each of 1, 3, and 5. Find the probability
distribution?

Answers

Considering that each of 2, 4, and 6 is twice as likely to come up as each of 1, 3, and 5, the probability distribution is given by:

[tex]P(X = 1) = 0.1111[/tex]

[tex]P(X = 2) = 0.2222[/tex]

[tex]P(X = 3) = 0.1111[/tex]

[tex]P(X = 4) = 0.2222[/tex]

[tex]P(X = 5) = 0.1111[/tex]

[tex]P(X = 6) = 0.2222[/tex]

The symbolic distribution is:

[tex]P(X = 1) = y[/tex]

[tex]P(X = 2) = x[/tex]

[tex]P(X = 3) = y[/tex]

[tex]P(X = 4) = x[/tex]

[tex]P(X = 5) = y[/tex]

[tex]P(X = 6) = x[/tex]

The sum of all probabilities is 1, hence:

[tex]3x + 3y = 1[/tex]

Simplifying by 3:

[tex]x + y = 0.3333[/tex]

[tex]y = 0.3333 - x[/tex]

2, 4, and 6 is twice as likely to come up as each of 1, 3, and 5, hence:

[tex]x = 2y[/tex]

[tex]x = 2(0.3333 - x)[/tex]

[tex]3x = 0.6667[/tex]

[tex]x = \frac{0.6667}{3}[/tex]

[tex]x = 0.2222[/tex]

Then:

[tex]y = 0.3333 - x = 0.3333 - 0.2222 = 0.1111[/tex]

Hence, the distribution is:

[tex]P(X = 1) = 0.1111[/tex]

[tex]P(X = 2) = 0.2222[/tex]

[tex]P(X = 3) = 0.1111[/tex]

[tex]P(X = 4) = 0.2222[/tex]

[tex]P(X = 5) = 0.1111[/tex]

[tex]P(X = 6) = 0.2222[/tex]

A similar problem is given at https://brainly.com/question/24855677

What is the perimeter of the shape to the right?​

Answers

The perimeter of that is 22
the perimeter is 22, good luck

A group of 200 adults were asked whether they prefer getting their news from newspapers or from TV. The gender of the adults and their responses are
reported in the following table.
Newspapers
Women 30
Men 50


TV
52
68


(a) What percentage of the adults are women?

(b) What percentage of the adults prefer TV?

Answers

Answer:

41% of adults are women.

60% of adults prefer TV.

Step-by-step explanation:

Women 30 Newspaper 52 TV 82 In Total so the percentage would be 82 out of 200 which would be 41 therefore 41% of adults are women.

TV scores 52 + 68 = 120 therefore 120 out 200 is the percentage of the adults that prefer TV 60 therefore 60% of the adults prefer TV.

The percentage of the adults prefer TV is 60%.

What is percentage?

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Given that, a group of 200 adults were asked whether they prefer getting their news from newspapers or from TV.

Here,

                  Newspapers         TV

Women              30                 52

Men                   50                  68

Number of women =30+52

= 82

a) Percentage of the adults are women

= 82/200 ×100

= 41%

b) Percentage of the adults prefer TV

Number of adults watch TV = 52+68

= 120

Here, 120/200 ×100

= 60%

Therefore, the percentage of the adults prefer TV is 60%.

To learn more about the percentage visit:

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$332.8 30percent off

Answers

Answer:

232.96$

Step-by-step explanation:

Ned fills 2/3 of a bucket in 15 of a minute. How much time will it take him to fill the bucket?

Answers

we know he filled 2/3 of the bucket in 15mins, how long for the "whole", namely 3/3 = whole, bearing in mind that 3/3 = 1, just the same as 7/7 = 1 or 1,000/1,000 = 1, so one whole is always 1 fraction wise.

[tex]\begin{array}{ccll} fraction&mins\\ \cline{1-2} \frac{2}{3}&15\\[1em] \underset{whole}{1}&x \end{array}\implies \cfrac{~~ \frac{2}{3}~~}{1}=\cfrac{15}{x}\implies \cfrac{2}{3}x=15\implies \cfrac{2x}{3}=15 \\\\\\ 2x=45\implies x=\cfrac{45}{2}\implies x=22\frac{1}{2}\qquad \textit{22 minutes and 30 seconds}[/tex]

A store pays $79 for a desk and marks the price up by 10%. What is the new price?​

Answers

The new price would be $86.9

Answer: 86.90$

Step-by-step explanation:

10/79=7.90$. 7.90$ + 79.00$= 86.90$

Maria wrote her 606 word
essay in 20 1/5 minutes. At
what rate is she typing?

Answers

Answer:

29.5

Step-by-step explanation:

Multiply 606 and 20.5 and get 29.5.

you have a goal to sell 100 tickets to a school pizza party if you only completed 50 percent of your goal , did you sell more or fewer than 100 tickets ?

Answers

Answer:

you sold fewer than 100 tickets. you only sold 50 tickets out of your 100 ticket goal.

2x.67 find the product draw a picture

Answers

Answer:

1.34

Step-by-step explanation:

2x67/100

= 134/100

= 1.34

If your heart rate is 155 beats per minute during strenuous exercise, what is the time per beat in units of seconds

Answers

Answer:

5 beats per second

Step-by-step explanation:

statistic operation depends

I need the answer ASAP please, 415 divided by 5

Answers

Answer:

83

Step-by-step explanation:

415/5

= 83

415 divided by 5 is 83.

Precalculus: Conics

At the Bellagio Resort in Las
Vegas, one of the fountains
attains a maximum height of 4m
at a horizontal distance of 0.5m
from its spout. If the path of
water is a parabola, find the
height of the water at a
horizontal distance of 0.75m
from the origin.

Answers

Answer:

yahoooooooooooooooo

Step-by-step explanation:

Given the two similar triangles below, which proportion is not true?
16.5 cm
12 cm
11 cm
با این
8 cm
10.5 cm
7 cm

Answers

Answer:

10.5

Step-by-step explanation:

Given the two similar triangles below, which proportion is not true?

i need help with this can ya help

8/12 = 7/10.5 11/7 = 16.5/127/8 = 10.5/1211/16.5 = 8/12

Sorry i know this isnt an answer.

6 A local theater charges $26 for each adult ticket and
$17 for each student ticket. For one show, the theater
took in $988 from adults and $731 from students. How
many people attended the performance?

Answers

so what you would do is divide 988 by 26 and divide 731 by 17 and those two numbers you would add which gives you the amount of people that attended the performance

Answer:

81 people

Step-by-step explanation:

please help me w my khan academy

Answers

Answer:

in armed forces is .15%

military dependant is 3%

and civilian is 96%

Step-by-step explanation:

hope this helps! ❄︎

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