Nina and Jo both ran an 8 km race. Nina took 45 minutes to run the whole race. Jo started the race 4 minutes later than Nina but caught up when they had both travelled 5 km. If Nina and Jo both ran at constant speeds, what is Jo's speed to 2 dp?

Answers

Answer 1

Answer:

6.0869 mph

Step-by-step explanation:

Nina:

8 km: 45 mins

Jo:

8 km: 49 mins

Speed = distance / time

Speed= 8 / 49


Related Questions

what is -5+11y-3=25? will mark brainliest!!

Answers

Step-by-step explanation:

-5 +11y -3 = 25

11y = 25 + 5 + 3

11y = 33

y = 33/11

y = 3

-5-3+11y=25
-8+11y=25
11y=25+8
11y=33
y=33/11
y=3

Directions - Find the degree of the monomial.
-4xyz~3
Degree =

Answers

Answer:

5

Step-by-step explanation:

To find the degree of a monomial, add the values of all the exponents together. In this example, x and y both have an exponent of 1. the exponents of x + y + z is 1 + 1 + 3. The degree is 5. Hope this helps!

Which of the diagrams below represents the statement if it is a square then it is a rectangle

Answers

Answer:

Plz show us the figures

Step-by-step explanation:

Answer:

The answer is Figure B.

Step-by-step explanation:

When a number is decreased by 5%, the result is 20. What is the original number to the nearest tenth?

Answers

Step-by-step explanation:

so round up is b equal a plus 10....

write a function rule that relates r and t.
Input r: -2, 0, 2, 4, 6
Output t: 0, -1, -2, -3, 1

Answers

Answer: [tex]t=-\frac{1}{2}r- 1[/tex]

Step-by-step explanation:

For a lineal equation [tex]t=mr+n[/tex]

For r=0 and t=-1

[tex]-1=m(0)+n\\n=-1[/tex]

For r=-2 and t=0

[tex]0=m(-2)-1\\m(-2)=1\\m=-\frac{1}{2}[/tex]

Them [tex]t=-\frac{1}{2}r- 1[/tex]

???? The output for 6 is 1????

what is the slope of the line graphed below (3,6) (0,-1)

Answers

Answer:

B

Step-by-step explanation:

Answer:-2

Step-by-step explanation:

what is the answer for n ?

Answers

Answer:

18

Step-by-step explanation:

The formula for interior angles in a ngon is

(n-2)*180

2880/180=16

n-2=16

n=18

4. Last year, an intramural touch football team at the local university had a decent

season. The total points scored by the team for each of the 20 games are listed

below.

24

49

28

50

34

51

36

52

36

52

40

62

41

67

43

68

43

73

48

79

Construct a histogram of the data

Answers

Answer:

The histogram is attached

Step-by-step explanation:

The histogram attached shows the points scored in each game, where total number of games are 20

Histogram is made by the following details:

X-Axis: Game No.

(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20)

Y-Axis: Total points scored in that game.

(24,49,28,50,34,51,36,52,36,52,40,62,41,67,43,68,43,73,48,79)

Different colors are used for each much so that it is easy to differentiate among them.

HELPPPPPPP PLEASEEE!!!

Answers

Answer: A. (-1,-10)

The x-coordinate of the vertex can be calculated using [tex]x=-\frac{b}{2a}[/tex].

According to the equation given a = 1, and b = 2.

[tex]x=-\frac{b}{2a} =-\frac{2}{2(1)}=-\frac{2}{2} =-1[/tex]

The y-coordinate of the vertex can be calculated by subbing in the x-value from the previous equation (x = -1) for x, and solving for y.

[tex]y=x^{2}+2x-9=(-1)^{2}+2(-1)-9=1-2-9=-10[/tex]

∴ the vertex is (-1,-10).

4−2(x−5)=x−19? Help

Answers

Answer:

x=11

Step-by-step explanation:

Start by distributing:

4-2(x-5)= x-19

4-2x+10= x-19

Add 19 and 2x to both sides (the -19 and -2x will turn into 0)

4+10+19= 2x+x

Add 4+10+19

33= 3x

Divide by 3

x=11

I need a answer for this

Answers

Answer:

I think is A but I could be wrong.....But I don't think so because I did the math lol

Step-by-step explanation:

What addition expression is shown on the
number line?
8
+
?
15

Answers

can it possibly be -15?
It could be 23 im srry if im wrong

Is my answer correct?

Answers

Answer:

No

Step-by-step explanation:

It should be -8 degrees because 5x4=20 and 12-20=-8

Create a two column proof of each problem. Please help!!

Answers

Step-by-step explanation:

In this way it is proved

Please help me with this

Answers

Uh ... it really don’t show much to answer

Answer:

a)  -2 -< x-<  2

b)  -1 < x and < 2

Step-by-step explanation:

We use -< as the numbers are included in the solution being -2 and 2

We use < as the numbers are less than -1 and 2

You know the difference i just couldn't copy and paste the inequalities for a).

They face the same way I have shown.

If the line on the number line were not central to 2 numbers and separate then they would face the opposite way and show two inequalities and we refer to that as or, but both of these mean and. they mean and as the line joins them together on each number line, the only difference is an open circle means the numbers are not inclusive so we dont enhance the arrow for non inclusive, when a) is inclusive we put a line underneath the arrow and still face them the left side as x shows the relationship of being inclusive still the same. a) has a line under the arrow i just couldn't show and hope you see the difference as we only use two types of arrows.

25 pints= gallons? pints?

Answers

Answer:

3.125 gallons

Step-by-step explanation:

25 pints could be converted to about roughly 3.125 gallons.

Jill invested $20,000 in an account that earned 5.5% annual interest, compounded annually. What is the value of this account after 10 years? Express your answer rounded to the nearest cent.

Answers

Answer:

A = $ 34,162.89

Step-by-step explanation:

A = $ 34,162.89

A = P + I where

P (principal) = $ 20,000.00

I (interest) = $ 14,162.89

Compound Interest Equation

A = P(1 + r/n)nt

Where:

A = Accrued Amount (principal + interest)

P = Principal Amount

I = Interest Amount

R = Annual Nominal Interest Rate in percent

r = Annual Nominal Interest Rate as a decimal

r = R/100

t = Time Involved in years, 0.5 years is calculated as 6 months, etc.

n = number of compounding periods per unit t; at the END of each period

Answer:

34,162.89

Step-by-step explanation:

Santana went for a hike on the 21 mile South Boundary Trail. If she can hike2 miles
in 60 minutes, how long will it take her to hike the entire trail?
Draw a diagram to support your thinking and demonstrate your understanding. Be sure
to show all of your work.

Answers

Answer:

It will take santana 630 minutes or 10.5 hours to complete the 21 miles.

Step-by-step explanation:

[tex]\frac{2}{60\\}[/tex] [tex]\frac{21}{y}[/tex]  y is what you are trying to find multiple her miles by the number of minutes and then divided by how many miles in  60 min.

Simplify completely. (w15/w5)4

Answers

Answer:

w^40

Step-by-step explanation:

(w^15/w^5)^4

Simplify inside the parentheses

a^b / a^c = a^(b-c)

(w^(15-5)) ^4

(w^10) ^4

We know a^b^c = a^(b*c

w^(10*4)

w^40

Answer:

w^40

Step-by-step explanation:

(w ^15/w^5)^4

w^15/w^5 = w^10 = (w^10)^4

Refine: w^40

Can someone please answer this question?

Answers

Answer:

you answer would be A.    I hope this helps

Step-by-step explanation:

Garrett has a current checking account balance of $495. Over the next three days, he receives a direct deposit of $775.75 from his job, pays an annual online banking fee of $34, and makes purchases of $44.21 and $7.92. He then withdraws $80 from an ATM that charges a $2.50 usage fee. What is Garrett's account balance at the end of the 3-day period? Write your answer in numeric form, such as 1369.05.

Answers

Answer:

1102.42

Step-by-step explanation:

495 + 775.75=1270.75

1270.75 - 34=1236.75

1236.75 - 44.21=1192.54

1192.54 - 7.92=1184.62

1184.62 - 82.2=1102.42

Answer:$1102.12

Step-by-step explanation: You just add the $775.75 to the original $495 then from there you subtract the rest of the numbers from the total amount  and you get $1102.12

solve the formula for calculating the perimeter of a parallelogram with sides b and c for c p = 2b+2c

Answers

Answer:

Proved;

See Explanation

Step-by-step explanation:

Given:

Shape: Parallelogram

Sides: b and c

Required:

Show that P = 2b + 2c

Let P represents the perimeter of the parallelogram.

There are 4 sides in a parallelogram where 2 sides are opposite and parallel

Given that two of the side of the parallelogram is b and c; this implies that the next two sides are also b and c.

This means that the sides of the parallogram are b,c,b,c

The perimeter of any shape is calculated by adding the lengths of the shape;

This means that

[tex]P = b + c + b + c[/tex]

Collect like terms

[tex]P = b + b + c + c[/tex]

[tex]P = 2b + 2c[/tex] ------ Proved

If it is on sale for 20% OFF and the sale price is $68; what was the original price?

Answers

Answer:

85

Step-by-step explanation:

The discount is original price times the percent off

The sale price is the original price minus the discount

original price - original price * 20 % = 68

Factor out the original price and change the percent to a decimal

original price ( 1 - .20) = 68

original price ( .80) = 68

Divide each side by .80

original price = 68/.80

original price = 85

Answer:

$13.60

Step-by-step explanation:

($68 x 20%) / 100

1360 / 100 = 13.6

The table below shows the weekly change in the price of one gram of gold for four weeks.

By how much did the price of one gram of gold change from the beginning of week 1 to the end of week 4?

Answers

Answer:

I mean it changed by .25

Step-by-step explanation:

Im not sure if youre asking for the median or the price difference?

PLEASE HELP A boat is carrying containers that weigh 1000 pounds each. Use this information to fill in the table. Then plot the ordered pairs given by the table.

Answers

Answer:

For the table, the answers are 2000, 4000, 7000. for the graph the plots will be at (2,2000) (4,4000) (7,7000)

Step-by-step explanation:

A boat is carrying containers that weigh 1000 pounds each.

For the table

2 x 1000 = 2000

4 x 1000 = 4000

7 x 1000 = 7000

For the graph

2, 4, and 7 are given as your X  axis points. You will then raise those answers to your corresponding answers for the table. so your Y axis points will be 2000, 4000, and 7000.

answers ? Idk how to do this

Answers

Answer:

Step-by-step explanation:

ghjikop0987trsxzcvbhtrdxc vbhgfc


Consider 2.25t + 5 = 13.5t + 14


Write the resulting equation after moving the 2.25t to the right side

If 13.5t is moved to the left side, what is the resulting equation?
--------------------------------------------------------------------------------
Andre and Diego were each trying to solve 2x + 6 = 3x -8.

Describe the first step they each make to the equation.

Andre’s resulting equation was - x + 6 = -8
Diego’s resulting equation was 6 = x - 8

Answers

Answer:

5 = 11.25t +14-11.25t +5 =14Andre moved  3x to the left.Diego moved  3x to the right

Step-by-step explanation:

Moving the 2.25t to the right side

2.25t + 5 = 13.5t + 14

5 = 13.5t + 14 - 2.25t

5 = 11.25t +14

Moving the 13.5t to the left side

2.25t + 5 = 13.5t + 14

2.25t + 5 -13.5t= 14

-11.25t +5 =14

Andre moved  3x to the left.

2x + 6 = 3x -8

2x+6-3x=8

-x+6 =8

Diego moved  3x to the right

2x + 6 = 3x -8

6 =3x-8-2x

6= x-8

Feel free to ask for more if needed or if you did not understand something.

HELP! Point A is located at (3, -1). It is moved 5 units to the left and 4 units up. Its new coordinates are:

Answers

Answer:  (-2,3)

Explanation:

Subtract 5 from the x coordinate to move the point five units to the left. We go from (3,-1) to (-2,-1) after doing this.

Next up, add 4 to the y coordinate to shift the point up four units. We go from (-2,-1) to (-2,3)

Answer is    (-2,3)

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

Explanation:

Subtract 5 from the x coordinate to move the point five units to the left. We go from (3,-1) to (-2,-1) after doing this.

Next up, add 4 to the y coordinate to shift the point up four units. We go from (-2,-1) to (-2,3)

See diagram below. Point A is the initial point, B is the second step, and C is the final destination.

-----------

Another way to write out the steps is to use the transformation rule below

[tex](x,y) \to (x-5, y+4)\\\\(3,-1) \to (3-5, -1+4)\\\\(3,-1) \to (-2, 3)\\\\[/tex]

A car manufacturer announced that next year the price of a certain model car would increase by 5.5 %. This year the price is ​$17,635. Find the increase and the new price. The increase in the price of the car is ​$? ​(Round to the nearest cent as​ needed.) The new price of the car is ​$? ​(Round to the nearest cent as​ needed.)

Answers

Answer:

Increase: $969.93 New Price: $18,604

Step-by-step explanation:

I got this answer by finding out how much of the initial price 5.5% was, it ended being 969.925 so I rounded that to 969.23 so that I may found how much the price increased, then I added the increase price to the initial price so that I may find out how much the car would cost next year which is, $18,604.

Kevin thinks of a number. He adds 2 to the number, multiplies the result by 3,
and then subtracts 6. The number he ends up with is 27. What number did
Kevin start with?
If you work backward to solve this problem, what do you do first?
O A. Subtract 6 from 27
B. Add 6 to 27
C. Multiply 27 by 3
D. Subtract 2 from 27​

Answers

Answer:

The answer is B.

Step-by-step explanation:

Mark me brainiiest.

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