D
I
Alex jogged round a 400-m track. He took a total of 16 min to jog 3 rounds of
the same track.
(a)
(b)
Find the total distance that Alex had jogged.
Find Alex's average speed in m/min.
19​

Answers

Answer 1

Answer: [tex]1200 m[/tex]

[tex]75\ m/min[/tex]

Step-by-step explanation:

Given

Alex Jogged 3 rounds of 400 m track

It took 16 min to Jog 3 rounds

(a) Total distance Alex had Jogged

[tex]\Rightarrow 3\times 400=1200\ m[/tex]

(b) Average speed is the total distance by the total time

[tex]\Rightarrow \dfrac{1200}{16}=75\ m/min[/tex]


Related Questions

Solve for x 4(x+9)= 3(2x - 7)​

Answers

Answer: X= 57/2

Hope this helps!

Answer:

x = 28.5

Step-by-step explanation:

1. Write the equation

4(x+9) = 3(2x - 7)

2. Distribute

4x + 36 = 6x - 21

3. -4x from both sides

36 = 2x - 21

4. +21 on both sides

57 = 2x

5. Divide 2 on both sides

x = 28.5

What is the equation for f(x)

Answers

Answer:

it's a black image theres no line

Salim has a picture book with 124 pages in it. He read 1/4 of the book to his little brother. How many pages did he read?​

Answers

Answer:

31

Step-by-step explanation:

124/4 = 31 pages per one fourth of the book

If your brother reads one fourth of the book then he reads 31 pages.

31

Step-by-step explanation:

divide 1/4 by 24 and 31 should be the answer

HELP MEEEEEEE PLEASE

Answers

Answer:

choice 1) 14m

Step-by-step explanation:

escribe en forma de potencia y encuentra el valor

((-9)²)³​

Answers

Answer:

Step-by-step explanation:

Answer:

531441

Step-by-step explanation:

using multiplicative law of indices

2 by 3 Is 6

so, -9⁶=531441

I NOW HAVE 690 PTS ALSO PLEASE HELP WITH MY MOST RECENT QUESTION

Answers

Okay I’ll try!!!!! Let me go check it out

Answer:

Okay

Step-by-step explanation:

I'll see if I know the answer

Help extra points and mark brainlist

Answers

Answer:

Median is 7

Step-by-step explanation:

Give me brainllest

HELP ASAP

if dy/dx = 2 - y, and if y = 1 when x = 1, then y = ??? PHOTO ATTACHED

Answers

Answer:

y=2-e^(1-x)

Step-by-step explanation:

This can be solved by separating the variables.

dy/dx=2-y

Multiply both sides by dx

Divide 2-y on both sides

dy/(2-y)=dx

Integrate both sides

-ln|2-y|=x+c

Multiply both sides by -1

ln|2-y|=-x-c

Equivalent logarithm form

2-y=e^(-x-c)

Minus 2 on both sides

-y=e^(-x-c)-2

Multiply both sides by -1

y=-e^(-x-c)+2

The ordered pair (1,1) belongs to the curve so we have

(I'm going to use this earlier form -ln|2-y|=x+c)

-ln|2-1|=1+c

-ln|1|=1+c

-0=1+c

0=1+c

Minus 1 on both sides

-1=c

Answer:

y=-e^(-x-(-1))+2

Or

y=-e^(-x+1)+2

Or

y=2-e^(1-x)

a cone has a radius of 5 and height of 6 Iowk need the answer asap please it's on khan academy!!​

Answers

Answer:

the volume is 157.08

Step-by-step explanation:

formula is v=1/3hπr²

1: V=1/3(6)π(5)²

2. V=1/3(6)π(25)

3:V=2*π*25

4: V=157.079

Find the equation of the line that passes through the points (3,-4) and (3,
8).

Answers

Answer:

This is not a function, so we can not find the equation of this line.

Step-by-step explanation:

The two points form equation of a line is given by:

[tex]y-y_{1}=m(x-x_{1})[/tex]  

Where:

y(1) is the y value of the first pointx(1) is the x value of the first pointm is the slope

The first point is (3,-4) and the second point is (3,8)

Let's first find the slope. The equation of m is given by:

[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

[tex]m=\frac{8-(-4)}{3-3}[/tex]  

Here the slope is not defined, so we can not find the equation of this line, because it is not a function.  

I hope it helps you!

The slopes of perpendicular lines are
A. negative reciprocals
B. opposites
C. reciprocals
O D. identical
Is urgent no links

Answers

Answer:

A. Negative reciprocals

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.

Write a list of steps that are needed to find the measure of ∠B.

Answers

Step-by-step explanation:

Angle BCA + Angle BCD = 180 (Sum of angles on a straight line)

Angle BCA + 113 = 180

Angle BCA = 180 - 113

= 67

Angle BCA + Angle A + Angle B = 180 (Sum of angles in a triangle)

67 + 72 + Angle B = 180

139 + Angle B = 180

Angle B = 180 - 139

= 41

The measure of ∠B is m∠B = 41°.

What is a Triangle?

A polygon which has three sides and three vertices is called as triangle.

The sum of all the angles of the triangle is 180°.

Given:

The sum of the exterior angle and adjacent angle with is 180°.

So, ∠BCD = 180 - 113 = 67°.

The sum of all the angles of the triangle is 180°.

So,

72° + 67° + ∠B = 180°.

∠B = 180° - 139°.

∠B = 41°.

Therefore, ∠B = 41°.

To learn more about the triangle;

https://brainly.com/question/2773823

#SPJ2

Martin buys a car for $15,000. The value of the car depreciates by 7% each year. What is the value of his car 5 years after he purchased it? Round to the nearest dollar. Help asap

Answers

Answer:

I think the answer would be 2,140

what is order of operations and why is it important

Answers

The order of operations is a rule that tells you the right order in which to solve different parts of a math problem. ... Subtraction, multiplication, and division are all examples of operations.) The order of operations is important because it guarantees that people can all read and solve a problem in the same way.

Answer:

PEMDAS

Step-by-step explanation:

The order of operations is the order in which you solve an equation to find the correct answer. This is very important because randomly solving parts of an equation without using the order of operations will result in the wrong answer. The order of operations is PEMDAS which stands for: Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction.

Example:

[tex](2*2)^{2}+6/3-1[/tex]

Using PEMDAS to solve this equation we get 17 as our answer. However, if we solve it in order of how it appears we end up with 19/3 or 6.33, which is a very different answer.

ILL GIVE THE BRAINLIEST pls help me with this question EVERYTHING IS IN THE PICTURE PLS HELP DUE TODAY ​​IF YOU PUT A WRONG ANSWER ILL REPORT YOU FASTER THAN ASSIGMENT IS DUE ​

Answers

Answer:

90mm cubed

Step-by-step explanation:

Answer:

90 mm³

Step-by-step explanation:

V = area of base multiplied by height

base in this example is the triangle, which has an area of 15/2 or 7.5

height = 12

12 x 7.5 = 90

help pls !

find the angle measure given extended triangles

Answers

First, determine which inverse trigonometric function to use based on which two side lengths are provided. Then, create an equation that uses the value of the inverse trigonometric function of the ratio of the given sides, set it equal to the unknown angle, and simplify.

What is the value of x in the equation 4(-5 + x) = -4?

Answers

Answer:

x=4

Step-by-step explanation:

First, simplify:

-20 +4x =-4

Then, solve

4x=16

x=4

Answer:

The value of x would be 4.

You are the coach of the girls’ basketball team at a local middle school. It is the fifth game of the season, the game is tied, and there are only 5 seconds left on the clock. The referee has called a technical foul on the other team. You get to choose any one of your girls to take the shot. Basing your decision only on on their free-throw shooting thus far this season, whom would you pick, Becky or Rachel? Becky has made 8 of 12 free throws. Rachel has made 15 of 20 free throws.

Answers

Answer: Becky I guess

Step-by-step explanation:

4) You randomly select one card from a​ 52-card deck. Find the probability of selecting the 6 of hearts or the ace of diamonds.

Answers

Answer:

1/26

Step-by-step explanation:

There is only one 6 of hearts and only one ace of diamonds.

The probability of selecting the 6 of hearts is thus 1/52, and that of selecting the ace of diamonds is also 1/52.

The probability of selecting the 6 of hearts or the ace of diamonds is the SUM of these two results:  1/52 + 1/52 = 2/52 = 1/26.

1/26
I hope this can help you!!!

I need help with this question plzz

Answers

Answer:

40 miles away from home

To put it in yard would be 82,720

Step-by-step explanation:

How do I answer this and I need explanation pls

Answers

Answer:

65 degrees

Step-by-step explanation:

1) Find the value of x

The sum of all the interior angles of a triangle is always 180 degrees. Knowing this, we can construct the following equation:

[tex](2x-5)+(115-x)+x=180[/tex]

Open up the parentheses

[tex]2x-5+115-x+x=180[/tex]

The two x's cancel out

[tex]2x-5+115=180\\2x+110=180[/tex]

Subtract 110 from both sides

[tex]2x+110-110=180-110\\2x=70[/tex]

Divide both sides by 2

[tex]2x/2=70/2\\x=35[/tex]

Therefore, x is equal to 35.

2) Find the value of <C

[tex]C=2x-5[/tex]

Plug 35 into the equation as x

[tex]C=2(35)-5\\C=70-5\\C=65[/tex]

Therefore, the value of angle C is 65 degrees.

I hope this helps!

What is the area of this figure?

Answers

Answer:

342 sq miles

Step-by-step explanation:

separated figure into 4 vertical pieces with the following dimensions:

5x31 rectangle:  A = 155

4x13 rectangle:  A = 52

3x13 rectangle:  A = 39

trapezoid (h = 8; bases of 11 and 13):  A = 96

In a random sample of 8 residents of the state of Montana, the mean waste recycled per person per day was 3.0 pounds with a standard deviation of 0.23 pounds. Determine the 99% confidence interval for the mean waste recycled per person per day for the population of Montana. Assume the population is approximately normal. Step 1 of 2: Find the critical value that should be used in constructing the confidence interval. Round your answer to three decimal places.

Answers

Answer:

at 99%, Confidence interval is ( 2.716, 3.285 )

( 2.716 < μ < 3.285 )

Step-by-step explanation:

Given the data in the question;

sample size n = 8

mean x' = 3.0

standard deviation σ = 0.23

To calculate the confidence interval, we use the following expression;

x' ± [tex]t_{\alpha /2, df[/tex]( σ/√n) ------- let this be equation

now, at 99% confidence interval;

∝ = 1 - 99% = 1 - 0.99 = 0.01

degree of freedom df = n - 1 = 8 - 1 = 7

hence t-critical value = 3.499

in equation 1, we substitute in our values;

⇒ 3.0 ± 3.499( 0.23/√8  )

⇒ 3.0 ± 0.2845

⇒ 3.0 - 0.2845, 3.0 + 0.2845

⇒ ( 2.7155, 3.2845 )

Therefore at 99%, Confidence interval is ( 2.716, 3.285 )

( 2.716 < μ < 3.285 )

1 point
8. The dot plot below represents the number of dollars in allowance that
students receive each week in Mrs. Jimenez's class. What is the median
amount of allowance?
1...
+
2
+
4
+
12
+
14.
O
6
8
10
16
DOLLARS OF ALLOWANCE EACH WEEK

Answers

Answer:

6

Step-by-step explanation:

i am not sure but i think its right sorry if you get it wrong

How to simplify -5 1/4-(-7 1/2

Answers

Answer:

Exact Form:

9/4

Decimal Form:

2.25

Mixed Number Form:

2 1/4

Step-by-step explanation:

a chain that measures 5 feet long is divided into 3 equal parts

Answers

The total length of each part is 5/3ft.

1.6666666666666666666666

Does every number have a decimal expansion?

yes or no

Answers

I’m pretty sure the answer is no

Hurry this is due in 8 minutes


A 1/20

B 1

C 10%

Answers

A 1/20. hope ur not too late!

Answer: A, 1/20

Step-by-step explanation: There is only one Ryan of 20 students.

please help me out, im taking a test. ill give brainliest

Answers

Answer: you are cheating :(?

So I won't help u sorry

Step-by-step explanation:

Angles of Elevation and Depression
Acellus
Find the distance from point B to point C.
Enter as a decimal rounded to the nearest tenth.
58
6 mi
B
с
BC = [?] mi
Enter

Answers

Answer:

Distance between B and C is 9.6 miles.

Step-by-step explanation:

By applying tangent rule in the given right triangle ABC,

tan(58°) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

             = [tex]\frac{BC}{AB}[/tex]

             = [tex]\frac{BC}{6}[/tex]

1.60 = [tex]\frac{BC}{6}[/tex]

BC = 9.6 mi

Therefore, Distance between B and C is 9.6 miles.

Answer: 9.6

Step-by-step explanation:

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