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

the ratio of milk to sugar in an iced coffee is 4 to 1. if you add 4 teaspoons of milk, how many teaspoons of sugar should you add?​

Answers

Answer:

the answer is you need to add 1 teaspoon of sugar

Step-by-step explanation:

I know that x + 2 is a factor of P(x) = 2x^{3} + 5x^{2} + 5x + 6, but I just don't know how to do the second half

Answers

Answer:

explain it again

Step-by-step explanation:

i don't understand

8. A bamboo plant is 10 centimeters tall at noon and grows at a rate of 5 centimeters every 2 hours. The height (in centimeters) is a function h(t) of the time t it grows. When will the plant be 20 centimeters tall?​

Answers

Answer:

in 10 hours

Step-by-step explanation:

Answer: 4 hours

Step-by-step explanation: since the plant is already 10 centimeters, and it grows five centimeters every two hours, it only needs four hours to grow another 10 centimeters for it to be 20 centimeters.

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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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

HELPPPPPPPPPP PLEASE

Answers

Answer:

The answer is in the above attachment.

Answer:

1. 6 x^8 y^5

2. 4 x^5 z^8

3. 12 a^9 b7

4. 6 s^9 t^3

Step-by-step explanation:

1. (3 x^2 y^4) × (2 x^6 y)

= [ (3×2) (x^2 × x^6) (y^4 × y) ]

= 6 x^8 y^5

2. [ (x z^3) × (4 x^4 z^5) ]

= (4 × 1) (x × x^4) (z^3 × z^5)

3. .........

4. ...........

Don't mind me, cause I'm busy

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:

brainly.com/question/24159063.

#SPJ2

Which of the following is an equivalent form of the compound inequality

Answers

Answer:

pls mark brainy

Step-by-step explanation:

option (d) is correct.

An equivalent form of the  given compound inequality −44 > −2x − 8 ≥ −8 is  −44 > −2x − 8 and −2x − 8 ≥ −8

Step-by-step explanation:

Given a compound inequality −44 > −2x − 8 ≥ −8

We have to write  an equivalent form of compound inequality.

Compound inequality  consists of two inequalities joined together and the solution is the intersection of each inequality.

Compound inequality has two sides the left hand side and right hand side we can solve them by taking each inequality one at a time.

For given compound inequality, −44 > −2x − 8 ≥ −8

we have

Left side of inequality as  −44 > −2x − 8

and right side of inequality as  −2x − 8 ≥ −8

Thus, option (d) is correct.

Thus, An equivalent form of the  given compound inequality −44 > −2x − 8 ≥ −8 is  −44 > −2x − 8 and −2x − 8 ≥ −8

Among all the pairs of numbers whose difference is 18 18 , find the pair with the smallest product. What is the product?

Answers

Answer:2-b= 18-a+b now their product is F=a.b-f(b)=18+b)b Dt/db =18+2b-0=18+2b-0=9+b-9=b

so, that's our only critical point, run a first-derivative test on it, and you'll notice is a minimum

Step-by-step explanation:

tret
) Write a system of equations to describe the situation below, solve using any method, and
fill in the blanks,
4) Miss Ellison is getting married soon. She would like to hire a professional who will come
to her house and do hair and makeup for the bridal party on her wedding day. She has
narrowed it down to two possible choices. A woman from Oxford Salon charges an initial fee
of $34 and then an additional $13 per hour. Alternatively, a team from Beauty by Charlie
offers a free consultation and then charges a higher hourly rate of $30. If it takes a certain
amount of time to finish everyone's hair and makeup, Miss Ellison will end up paying the
same amount either way. How long would that take? How much would Miss Ellison end up
paying?
hours, to finish everyone's hair and makeup, Miss Ellison will end up
It it takes
paying $

Answers

The two equations expressed in this scenario will be

y = 13x + 34

And

y = 30x

I like substitution, so let’s use that

Plug in y = 30x for y in the first equation

30x = 13x + 34

Subtract

17x = 34

x = 2

Plug in 2 for x in any equation

y = 30(2)

y = 60


It would be 2 hours and she would pay $60 dollars

HELP WILL GIVE BRAINLIEST

Answers

0 i think. Im not sure tho hope this helps

what is the midrange

Answers

Answer:

Midrange Formula. Midrange in layman terms is the middle of any data set or the simply the average, mean of the data. A midrange is a statistical tool which is also known as the measure of center in statistics. Along with the existence of the midrange formula means, medium, average, mode, and range are also known as the measure of central tendency.

Step-by-step explanation:

(PHOTO) Please help me need this done by tomorrow thank you.​

Answers

Answer:

2x+78=5x+15

78-15=5x-2x

3x=63

x=21

Gina has 48 stickers 3/8 are flowers, 1/8 were plants, how many are people

Answers

Answer:

Hello!

Judging by the question you have provided I have deduced that the correct answer is:

24 people

Step-by-step explanation:

To come across this answer I assumed that [tex]\frac{3}{8}[/tex] of the stickers are flowers, [tex]\frac{1}{8}[/tex] of the stickers are plants, and the wrest of the stickers are people.

I then realized that I could look at the equation this way:

If we already know how many stickers are not people, we can then add up the amount of stickers we know are not people, and then subtract that amount from the total amount of stickers to figure out how many left can be people!

Which in this case would be:

[tex]\frac{3}{8}[/tex] (not people)+  [tex]\frac{1}{8}[/tex] (not people) = [tex]\frac{4}{8}[/tex] stickers that are not people, or if simplified [tex]\frac{1}{2}[/tex] or half of the total number of stickers.

We now know that half of the stickers are not people, so thus we can deduce that the other half of the stickers are people.

And half of 48 is:

24

Thus,  24 stickers are people!

And the other 24 have to be flowers and plants!

24 stickers were people

Inequalities definition

Answers

Answer:

a inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It is used most often to compare two numbers on the number line by their size.

Step-by-step explanation:

hope it helps :)

Answer:

In Algebra, inequality is a Mathematical statement that shows the relation between two expressions using the inequality symbol. The expressions on both sides of an inequality sign are not equal. It means that the expression on the left-hand side should be greater than or less than the expression on the right-hand side or vice versa. If the relationship between two algebraic expressions is defined using the inequality symbols, then it is called literal inequalities.  If two real numbers or the algebraic expressions are related by the symbols “>”, “<”, “≥”, “≤”, then the relation is called an inequality.

slope=1/3 y intercept=-1

Answers

Answer:

3y=1 i hope it helps!

Step-by-step explanation:

Jacob followed a recipe that requires 2 cups of water for ever 3 cups of flour. If he used 8 cups of flour, how many cups of water did he use?

options

2 2/3

4


5 1/3

12

Answers

Answer:12

Step-by-step explanation:

3 divided by 2 = 1.5

1.5x8=12

He used 12 cups of water

Have A Good Day

Pre college need help

Answers

Answer:

Yes

Step-by-step explanation:

Again substitute the values in and see if they give the same value or not

Add or subtract. Write fractions in simplest form.

-9.24 + (-2.89)

how do i do this problem? please help, i will mark you brainliest!!

Answers

Answer:

-12.13

Step-by-step explanation:

To add two negative numbers, drop the negative signs and add the two positive numbers. Then make the answer negative.

-9.24 + (-2.89) =

We are adding two negative numbers, -9.24 and -2.89.

Step 1: ignore the negative signs and add the number 9.24 + 2.89

9.24 + 2.89 = 12.13

Step 2: the answer is negative, so add a negative sign to the sum above.

-9.24 + (-2.89) = -12.13

Evaluate the expression.

−12 ⋅ 1/3

Group of answer choices

4

-4

36

-36

Answers

Answer:

Option B. -4

Step-by-step explanation:

-12 x (1/3)

=> -12 ÷ 3

=> -4

Therefore, -4 is our answer.

Hoped this helped.

What is the solution of the system of equations?

Answers

your desmos graph is really weird as the point is between 4 and 8 but with the one y=-x+5 we can see that the y intercept is 5 and the x value is 0

so the point is 0,5

Jack’s truck had used 30 gallons of fuel from a 50 gallon tank. What percentage was used? *

Answers

anwers: is 15 because I did 30 percent of 50

The answer is 60% because you can take the 50 and times it by 2 to get 100 and you can take the 30 and times it by to to get 60 so you know that 30 gallons out of a 50 gallon tank is 60% of the fuel

a dance club had 3 times as many members as an art club. The art club has 3598 fewer members than the dance club. How many members did the art club have? show bar graph

Answers

Answer:

1799 members in the art club i think but i don't have a bar graph

Step-by-step explanation:

^^

make the subject x of the formula y = 7x + 4

Answers

Answer:

[tex]x = \frac{y - 4}{7}[/tex]

Step-by-step explanation:

[tex]y = 7x + 4 \\\\y - 4 = 7x\\\\\frac{y - 4}{7} = \frac{7x}{7}\\ \\ \frac{y - 4}{7} = x[/tex]

debbie used 40% of her flour for
cookies she started with 24 cups how many cups did debbie use?

Answers

Answer:

24 x 40% = 9.6

Step-by-step explanation:

the answer is Lil Debbie™ 9.6 cup used.

What is 34% of 375?

Answers

It is 127.5 I am pretty sure

Answer: 127.5

Step-by-step explanation:

Question: What is 34% of 375

Percentage solution with steps:

Step 1: Our output value is 375.

Step 2: We represent the unknown value with x​.

Step 3: From step 1 above, 375=100%

Step 4: Similarly, X=34%

Step 5: This results in a pair of simple equations:

375=100% (1)

X=34%(2)

Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both

equations have the same unit (%); we have

375/X = 100%/34%

Step 7: Again, the reciprocal of both sides gives:

X/374=34/100

X=127.5

Therefore, 34% of 375 is 127.5

Hey everyone! Can you help me out with this(for those wondering, these are test corrections, I plan to do half today and half tomorrow)

State whether the following relation is a function.​

Answers

Answer:

no its not since some dots are above each other and fail the vertical line test

Hope This Helps!!!

Answer:

no the x value repeat

Step-by-step explanation:

I will give Brainliesttttt :D!

A car's gas mileage is the distance it can go using 1 gallon of gas (measured in miles per gallon).

Based on the graph, what is this car's gas mileage? Explain.​

Answers

Answer:

20 mpg

Step-by-step explanation:

Answer:

The car is traveling 20 miles per gallon.

Step-by-step explanation:

There are two ways you can solve this.

1) Since this is a graph of the car's gas mileage, all you have to do is look to find the miles for one gallon, which is plotted in this case. As you can see, for one, it is plotted halfway between 0 and 40, so that means the mile number would be 20. Looking at this, the car travels 20 miles per gallon.

2) You can also look at the point at the top that is clearly defined, and the point is (12, 240), 12 gallons used for 240 miles. To get the exact number of miles for one mile, you would divide 12 and 240 both by 12, which results in (1, 20). Since it is miles per gallon, the car gas mileage is 20 miles per gallon.

Hope this helped and have a great day!

what is the area of the soccer field if x=40m?
base is 2x+20
height is x+20

Answers

2(40)+20 = 100m
40+20= 60m
100x60= 6000m

Which statement best explains the relationship between
lines AB and CD?
-They are parallel because their slopes are equal.
-They are parallel because their slopes are negative
reciprocals.
-They are not parallel because their slopes are not
equal.
-They are not parallel because their slopes are
negative reciprocals.

Answers

Answer:

they are parallel because their slopes are equal

Answer:

They are parallel because their slopes are equal.

Step-by-step explanation:

Find the slope using the points indicated on each line

The slope of AB

m = rise/run = 6/8 = 3/4

The slope of CD

m = rise/run = 3/4

They are parallel because their slopes are equal.

Please hurry I have to do it in 2 minutes

Answers

Answer:

[tex]w-0.15 = 0.25[/tex]

Step-by-step explanation:

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