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 the greater of -5

Answers

5 is the greater of -5

If you flip a coin and pick a number tile from a bag of beans containing 6 different numbered beans at the same time, how many possible outcomes are there? A. 4 B. 8 C. 12 D. 16

Answers

Answer: C  12

Step-by-step explanation:

ALL possible outcomes

1 tails

2 tails

3 tails

4 tails

5 tails

6 tails

1 Heads

2 Heads

3 Heads

4 Heads

5 Heads

6 Heads

so its 12 total outcomes

Answer:

12

Step-by-step explanation:

 

go ask edge

 

Jennifer settles on the purpose of her website. What should be her next? A. design the website. B. Set an objective or goal C. Identify target users. E. Plan the website architecture

Answers

Answer:

C. Identify target users

explanation:

After she settles on the purpose of her website she basically had her plan/ goal already visioned. the next step is to find an audience that would be entertained and intrigued by her content. from this then she can start designing the project. i believe this question is in the wrong subject but

hope i helped!

Answer:

design the website

Step-by-step explanation:

The ratio of the number of A's in the class to B's in the class was 2:5. How many people got A's if there were 40 people who got B's?

Answers

Answer:

16 students got an A

Step-by-step explanation:

Set up an equation to compare the ratio to the scores:

[tex]\frac{2}{5} = \frac{x}{40}[/tex]

Cross multiply:

80 = 5x

Divide each side by 5:

x = 16

Now, check if [tex]\frac{16}{40} = \frac{2}{5}[/tex]

16/8 = 2

40/8 = 5

The ratios are the same! Therefore, 16 students got an A!

Hope this helps! Feel free to contact me if you have any questions :)

[tex]Total- no- of- students = 56\\A -students = Total- no- of- students - B-students\\A - students = 56 - 40\\A students = 16[/tex]Answer:

A Students = 16 students

Step-by-step explanation:

[tex]A :B\\2 :5\\ No- of -A -students =?\\No- of -B -students = 40\\2+5 =7\\\frac{5}{7} *x = 40\\\frac{5x}{7} =40\\Cross - multiply\\280 = 5x\\Divide-both-sides-of-the-equation -by 5\\\\\frac{280}{5} = \frac{5x}{5} \\x = 56[/tex]

Solve the following equation using algebraic operations (4n-18=22)

Answers

Answer:

n=10

Step-by-step explanation:

22+18=40 40/4=10

Given

4n - 18 = 22

Add 18 to both sides:

(4n - 18) + 18 = 22 +18

4n = 40

Divide 4n to both sides

[tex]\frac{4n}{4}[/tex]=[tex]\frac{40}{4}[/tex]

n=10

Now if you have to you can substitute n into the original equation and see if they are equal to one another.

4n - 18 = 22

4(10) - 18 = 22

40 - 18 = 22

22 = 22

With this being done n = 10

Help meh pls!!!!!!!!!!!!!!!!!!!!!!! 11÷3/4

Answers

Answer:

Step-by-step explanation:

Multiply by the reciprocal of 3/4. That is 4/3

[tex]\frac{11}{1} *\frac{4}{3} =\frac{44}{3}[/tex]

2 doesnt go into 44, but it does go into 42. It goes into 42 fourteen times. Then there is 2/3rds leftover

[tex]\frac{44}{3} ,14\frac{2}{3}[/tex] are both equivalent

Math Question. please Help?

Answers

Answer: I don’t know bro I’m sorry but at least add me on insta silverqueef

Step-by-step explanation:

Thank tou

Answer:

13.75/17

Step-by-step explanation:

Cos is Adjacent over Hypotenuse so you take the numerator and put it on and adjacent side of the triangle and you take the denominator and put it on the hypotenuse. Then you use pythagorean theoram to solve for the rest of the triangle. Then you have all three sides of the triangle. Sin is Opposite over Hypotenuse, so you take the opposite angle and just put it over the hypotenuse value to get your sin. If you need a visual just draw a triangle. :)

What is the value of m+(6n-1) when m=3 and n=1?

Answers

Answer:

8

Step-by-step explanation:

you do the brackets first so (6n-1) would be 6-1 which equals 5

now we have m=5, m is 3 so 3+5=8

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Use the distributive property to factor out y.
5y-3y + 12
The new expression becomes
O By+ 12
0-2y+ 12
0 2y+ 12
O 147

Answers

________________________________

5y-3y+12

=2y+12

So the new expression becomes 2y+12

hope it helps

Good luck on your assignment

________________________________

Answer:

2y+12

Step-by-step explanation:

Find the equation of the linear function
represented by the table below in slope-
intercept form.
X
у
-3
-6
1
1
-2
5
2
9
6

Answers

Answer:

y = (7/4)x - 3/4

Step-by-step explanation:

I'll assume that two points taken from your table are (-3, -6) and (1, 1).

As we move from the first to the second, x increases by 4 units ("run") and y increases by 7 units ("rise").  Thus the slope of the line connecting these two points is m = rise / run = 7/4.

Let's begin with the familiar y = mx + b.  Substituting 1 for x and 1 for y and 7/4 for m, we get:

1 = (7/4)(1) + b, or 1 - 7/4 = b, or  b = -3/4.

Then the desired equation, in slope-intercept form, is

y = (7/4)x - 3/4

Please help quickly

Answers

Answer:

41.47

Step-by-step explanation:

So to find the price after the discount, multiply 48 by 0.8

38.4

To find the amount after tax, multiply by 1.08

41.472 ≈ 41.47

Answer:

$41.47

Step-by-step explanation:

Original price: $48.00

Discount: 20%

20% of $48 = 20% * $48 = 0.20 * $48 = $9.60

Price after 20% discount = $48.00 - $9.60 = $38.40

Tax: 8%

8% of $38.40 = 0.08 * $38.40 = $3.07

Price after tax: $38.40 + $3.07 = $41.47

Answer: $41.47

plsssss helppppp i need to do this work in 10 min plss helpp

Answers

Answer:

3/2 or 1.5

Step-by-step explanation:

Change in y/ Change in x

3/2

1.5

You're welcome and don't forget to click THANKS

Answer:

3/2 or 1.5

Step-by-step explanation:

Change in y/ Change in x

3/2

1.5

The slope of a line is 2. The y-intercept of the line is –6. Which statements accurately describe how to graph the function? Locate the ordered pair (0, –6). From that point on the graph, move up 2, right 1 to locate the next ordered pair on the line. Draw a line through the two points. Locate the ordered pair (0, –6). From that point on the graph, move up 2, left 1 to locate the next ordered pair on the line. Draw a line through the two points. Locate the ordered pair (–6, 0). From that point on the graph, move up 2, right 1 to locate the next ordered pair on the line. Draw a line through the two points. Locate the ordered pair (–6, 0). From that point on the graph, move up 2, left 1 to locate the next ordered pair on the line. Draw a line through the two points.

Answers

uquzas prguntale ea otroi

A deck of cards has 3 pink, 6 purple, and 4 green cards. You pick 2 cards from the deck. Cards are not returned to the deck after they are picked

P(the first card is green and the second card is -purple)

With explanation

Answers

Answer:

2/13

Step-by-step explanation:

So firstly, know that there are 13 cards in the deck (3 + 6 + 4).

Therefore, the probability of drawing a green is 4/13.

After you draw the green card, there will be 12 cards left. Therefore, the probability of drawing a purple card next is 6/12.

To find compound probability, multiply the probabilities of the two separate events happening together:

4/13 * 6/12

= 2/13

Hope this helps! Please contact me if you have any questions :)

=)))))))))))))))))))))))))​

Answers

Answer:

c

Step-by-step explanation:

-10x is less than or equal to 40

x is greater than or equal to -4

flip the signs when you divide by a negative #

Please help! For the function f(x) = 2x^6 + 3x^4 - 4x^3 + (1/x) - sin(2x) find the first four derivatives.

Answers

Answer:

See the explanation

Step-by-step explanation:

We know that

f(x) = 2x⁶ + 3x⁴ - 4x³ + (1/x) - sin2x

Lets calculate the derivatives:

f'(x) = 6(2x⁵) + 4(3x³) - 3(4x²) -( 1/x²) - 2(cos2x)

f'(x) = 12x⁵ + 12x³ - 12x² - (1/x²) - 2cos2x

Similarly:

f''(x) = 60x⁴ + 36x² - 24x + (2/x³) + 4sin2x

f'''(x) = 240x³ + 72x - 24 - (6/x⁴) + 8cos2x

Rearrange:

f'''(x) - 240x³ +72x - (6/x⁴) + 8cos2x - 24

f''''(x) = 720x² + 72 + (24/x⁵) - 16sin2x

Rearrange:

f''''(x) = 720x² + (24/x⁵) - 16sin2x +72

Please help...

What is an equation in terms of x and y that can be used to model the proportional relationship?

Answers

Answer:

Step-by-step explanation:

y = 5x

which is not an equation of the line going through (3, -6) and (1, 2)


a. y-2=-4(x-1)

b. y-1=_4(x-2)

c. y=-4x+6

d. y+6=-4(x-3)

Answers

The equation is not going to make sence

Answer:

The answer is B.

Step-by-step explanation:

Just took the quiz on A P E X .

can someone help with this?

Answers

Answer:

Figure 1

The coordination of D is (a,0) and E is (b,c)

figure 2

The coordination of D is (0,b) and E is (a,0)

The shadow cast by a television tower is 171 ft 10 in. A pole that is stuck in the ground nearby has 2 ft sticking above the ground and casts a shadow that is 6 ft 3 in. in length. Based on this information, how high is the television tower?

Answers

Answer:

the height is 54.99 ft or 659.84 in

Step-by-step explanation:

We know that the sides of similar triangles are proportional, so we can write:

2 ft / 6 ft 3 in = x / 171 ft 10 in

Now what we must do first and pass everything to the same unit of measurement:

Knowing that 1 foot equals 12 inches:

6 ft 3 in = 6 ft * 12 in / ft + 3 in = 72 + 3 = 75 in

171 ft 10 in = 171 ft * 12 in / ft + 10 in = 2052 + 10 = 2062 in

2 ft = 2 ft * 12 in / ft = 24 in

replacing:

24 in / 75 in = x / 2062 in

x = 24 * 2062/75

x = 659.84 in

Or they would also be 659.84 in * 1 ft / 12 in = 54.99 ft

That is, the height is 54.99 ft or 659.84 in

.A linear equation in one variable has

Only one solution
Two solutions
More than two solutions
No solution

Answers

Answer:

Only One Solution

Step-by-step explanation:

Every linear equation that is a conditional equation has one solution. However, not every linear equation in one variable has a single solution. There are two other cases: no solution and the solution set of all real numbers. resulting value on the right side will always be one greater than the value on the left side.

Andre has a bowl of chocolates where 70% of them are milk chocolate and the remaining 30% are
white chocolate. The bowl contains a total of 20 chocolates. If he pulls two chocolates randomly from
the bowl without replacement, which of the following is closest to the probability that they are both
white chocolate?
1) 15.4%
2) 12.0%
3) 9.0%
4) 7.9%​

Answers

Answer:

4) 7.9%

Step-by-step explanation:

Given:

% of milk chocolate = 70%

% of white chocolate = 30%

Total number of chocolate = 20

Number of milk chocolate:

[tex] \frac{70}{100} * 20 = 14 [/tex]

Number of white chocolate:

[tex] \frac{30}{100} * 20 = 6 [/tex]

From the calculations, we now know there are 14 milk chocolates and 6 white chocolates.

2 white chocolates are picked at random without replacement.

Probability first chocolate picked was white: [tex] \frac{6}{20} = 0.3 [/tex]

Probability second chocolate picked was white: [tex] \frac{5}{19} = 0.2632[/tex]

To find probability that both of them are white chocolates, multiply probability of the first and second.

0.3 * 0.2632 = 0.07896

≈ 0.079

Convert to percentage by multiplying by 100.

0.079 * 100 = 7.9%

The probability that they are both

white chocolate is 7.9%

The base area of the cylinder is 36 square inches and the height of the cylinder is 10 inches. Find the volume of the cylinder. 720 cubic inches 360 cubic inches 180 cubic inches 90 cubic inches

Answers

Answer:

360 cu in.

Step-by-step explanation:

volume = area of base * height

volume = 36 sq in. * 10 in.

volume = 360 cu in.

360in
Dldjsmsbsmsheje

What is the leading coefficient and constant of this equation?
(8r^3 + 2r^2 + 1) - (7 - 7r^3 +3r^2)

Answers

Answer:

The leading coefficient is 15

The constant is -6

Step-by-step explanation:

So first open up all the parentheses:

[tex]8r^3+2r^2+1-7+7r^3-3r^2 = 15r^3-r^2-6[/tex]

The leading coefficient is 15

The constant is -6

A bullet exits the barrel of a gun at 625 m/s. How long does it take to
hit a target that is 2.0 km away?

Answers

Answer: 3.2 seconds

Step-by-step explanation:

Time = Distance / speed

= 2000 / 625

= 3.2 seconds

Place the following values in order from least to greatest: 3/4, 0.7, 4/5, 65.5%, 0.72

Answers

Answer:

4/5, 3/4, 0.72, 0.70, %65.5

Step-by-step explanation:

65.5/100=0.655

Find the distance between two points (6,−4) and (−4,−4).

Answers

Answer:

Step-by-step explanation:

(6, -4) ; (-4,-4)

[tex]Distance=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1}^{2})}\\\\ =\sqrt{(-4-6)^{2}+(-4-[-4])^{2}} \\\\=\sqrt{(-10)^{2}+(-4+4)^{2}} \\\\=\sqrt{100+0}\\\\ =\sqrt{100}\\\\[/tex]

= 10 units

What is the solution to the system of equations graphed below?

Answers

Answer:

B

Step-by-step explanation:

Given a system of equations graphically then the solution is at the point of intersection of the 2 lines.

The point of intersection = (- 4, 8 ) ← solution

What is the definition of “slope of a ramp using trigonometry ?”

Answers

Answer:

Step-by-step explanation:

it is the tangent of the angle slope makes with the horizontal.

What is the complete factorization of the polynomial below?
x3 + x2 + 4x + 4

Answers

x = -1

x = 2

x = -2

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "x2"   was replaced by   "x^2".  1 more similar replacement(s).

Step by step solution :

Step  1  :

Checking for a perfect cube :

1.1    x3+x2-4x-4  is not a perfect cube

Trying to factor by pulling out :

1.2      Factoring:  x3+x2-4x-4  

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1:  x3+x2  

Group 2:  -4x-4  

Pull out from each group separately :

Group 1:   (x+1) • (x2)

Group 2:   (x+1) • (-4)

              -------------------

Add up the two groups :

              (x+1)  •  (x2-4)

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