Running at an average rate of 10 m/s, a sprinter ran to the end of a track and then jogged back to the starting point at an average of 5 m/s. The sprinter took 60 s to run to the end of the track and jog back. Find the length of the track.

d=300md is equal to 300 m

d=200md is equal to 200 m

d=600md is equal to 600 m

d=150md is equal to 150 m

Answers

Answer 1

9514 1404 393

Answer:

  200 m

Step-by-step explanation:

Let d represent the length of the track in meters. The relation of interest is ...

  time = distance/speed

Then the total time to run and walk back is ...

  60 = d/10 + d/5

  600 = d + 2d

  200 = d . . . . . . . divide by 3

The length of the track is 200 meters.

_____

200 m in 20 seconds is a world-record time for a woman; a very good time for a man.


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a) Work out 4 1/7+1 1/2​

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Answer:

5 9/14

Step-by-step explanation:

easy maffs

simplify the sum x-2/x+3 + 10x/x^2-9 please show your work

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Answer:

Step-by-step explanation:

simpify each term

x- 2/x +3+ 10/x -9

combine fractions

x+3 -9 + 8/x

find common denominator then simplify terms                          [tex]\frac{x*x}{x}+\frac{3x}{x}+\frac{-9x}{x}+\frac{8}{x}[/tex]

[tex]\frac{x^{2}-6x+8 }{x}[/tex]

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[tex]\frac{(x-4) (x-2)}{x}[/tex]

Answer:

(x−4)(x−2)x

Step-by-step explanation:

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Answer:

10, exponents, 10, expression

Step-by-step explanation:

13. Reasoning In 2016, the world's oldest
tree was 5,066 years old. Write the
number that is one hundred more using
number names?

Answers

Answer:

five thousand, one hundred and sixty six years old.

Step-by-step explanation:

A marble is drawn at random from the bag shown below. The bag contains 3 green, 4 yellow, 5 blue, and 8 pink
marbles.
What is P(not yellow)?
A 1/5 B 2/5 C 4/5

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Answer: c 4/5

Step-by-step explanation: out of 5 only four are chosen leaving us with an answer of 4/5 :D hope it helped

3. The cone below is intersected by a
horizontal plane. What is the shape of the
cross section?

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Answer:

It depends were you are looking from but there is shows D. Oval so ig thats

the answer

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87-1 = 25+2 simplifies to :​

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175 /2

Step-by-step explanation:

Review the graph of complex number z. What is the conjugate of z?
7 – 6i
6 – 7i
–7 + 6i
–6 + 7i

Answers

Answer: B. 6 - 7i

Step-by-step explanation:

The complex conjugate of the given graph of the complex number is 6-7i.

We have given that,

7 – 6i

6 – 7i

–7 + 6i

–6 + 7i

We have to determine the conjugate of z.

What is the conjugate of complex numbers?

changing the sign of the imaginary part of the complex number. To find the complex conjugate of 4+7i we change the sign of the imaginary part. Thus the complex conjugate of 4+7i is 4 - 7i.

Therefore the complex conjugate of the given graph of the complex number is 6-7i.

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Which of the following expressions could be used to find the area of the larger rectangle?
12 mm
4 mm
48 mm
16 mm
3164 mm2
9(64 mm
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3(576 mm2

Answers

Answer:

12mm since its supposed to be for larger rectangles

Step-by-step explanation:

What type of world would you want to escape to right now if you could ?

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I would want to escape to a world that I read about in one of my fantasy books. Life seems so much easier and simpler there. It’s too much violence and hatred in this world for me.

hi does anyone have the answer for this? 100 points if answered :))

Answers

Answer:

15 feet

Step-by-step explanation:

This is already factored for the zeros of the quadratic.  If x - 5 = 0 and x - 20 = 0 then x = 5 and 20.  The ball was kicked 5 feet out and landed at 20 feet down the field.  The difference is 15 feet.  That's how far the ball traveled from its initial position on the ground to its landing place.

So 15 feet from where it was kicked.

Write a jingle to advertise
favorite dessert to the tune of
"Twinkle, Twinkle Little Star."
What is so special about this
dessert? How can you describe it
in a memorable, catchy way?

Y’all someone help no link ,will be reported

Answers

My Jingle:

Ice cream cake - oh, ice cream cake...

How I love the way you taste...

You melt in my mouth with every bite...

Dreams of you keep me up at night...

Ice cream cake - oh, ice cream cake...

How I love the way you taste.

I hope you like it!

help with math thanks so much!!!!

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Answer:

0.2

Step-by-step explanation:

14/10÷x=7

14/10=7x

1.4±7=x

x=0.2

5) Is this dilation an enlargement or reduction

A) Englargement

B) Reduction
———————
6) What is the scale factor for this dilation? Hint: First identity if it’s an enlargement or reduction

A) 2
B) 1/2
C) 3
D) 1/3

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if the purple triangle is supposed to be the dilation then its an enlargement and the scale factor should be 2?

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8.5 < x < 2.0. .....

The Candy Store is selling packs of gummies. A pack has 2 and 1/3 pound
of pineapple gummies and 1 and 5/6 pound of strawberry gummies. How
may pounds of gummies is in a pack?

Answers

The answer is 25/6 pounds or 4 and 1/6 pounds.

Each side length is doubled. What is the PERIMETER of the new figure?

Answers

Answer:

24 units

Step-by-step explanation:

Original perimeter:

5+4+3=12

When each side length is doubled, the original perimeter is doubled.

12*2=24

Answer:

if the length of each side is is doubled then

5×2 = 10

4×2 = 8

3×2 = 6

perimeter of new figure = 10 + 8 + 6

= 24 units

hope this helps good day mate

Raven and Min jog at different rates. Raven jogs at a rate of 6.3 miles per hour and Min jogs at a rate of 4.8
miles per hour. Raven thinks that if their rates were graphed on the same grid representing distance jogged over
time that the line representing her rate would always be above the line representing Min's rate Is Raven correct,
and why?

A .Yes, since Raven's line has a greater slope, it will always be above Min's line on a graph.
B.No since Raven's line has a greater slope, it will always be below Min's line on a graph.
C.No, both graphs will intersect at the point (0,0).
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Answer:

The answer is A.

if im wrong im truly sorry

A recipe calls for ¾ cups of molasses. If you triple the recipe, how much molasses is needed?

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A recipe calls for ¾ cups of molasses. If you triple the recipe, 9/4 cups of molasses would be needed

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

A recipe calls for ¾ cups of molasses. If you triple the recipe, the molasses is:

Amount of molasses needed = 3 * (3/4) cup = 9/4 cups

A recipe calls for ¾ cups of molasses. If you triple the recipe, 9/4 cups of molasses would be needed

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I NEED HELP ASAP PLEASEEEE!!!!! The total surface area of the triangular prism is

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Answer:

560

Step-by-step explanation:

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Answer:

0.24

Step-by-step explanation:

1.679-1.439

Employee Earnings per
month($)
1

1,200

2

2,600

3

1,800

4

1,450

5

3,500

6

2,800

7

12,500

8

3,200

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Answer:

actually its depend on how is he working day by day

a farmers market sells apples for $2.30 per pound. what would be the cost of 3 2/5 pounds of apples

Answers

Answer:

7.20

Step-by-step explanation:

Answer:

7.20 or 6.90

Step-by-step explanation: most likely 7.20 because 3 pounds of apples is 6.90 so adding a half to that would be 7.20

Which equation below allows you to solve 2x2 - 15 = x Using the zero-product property?​

Answers

Answer:

A is the correct answer .

Step-by-step explanation:

Hope this helps .

The equation that allows you to solve the given equation is (x-3)(2x+5).

What is a quadratic equation?

Any equation of the form [tex]ax^{2} +bx+c=0[/tex] is called a quadratic equation where a is non-zero.

The given quadratic equation is:

[tex]2x^{2} -15=x[/tex]

[tex]2x^{2} -x-15=0[/tex]

[tex]2x^{2} -6x+5x-15=0[/tex]

[tex]2x(x-3)+5(x-3)=0[/tex]

[tex](x-3)(2x+5)=0[/tex].......(1)

So, the required equation is equation(1).

Hence, the equation that allows you to solve the given equation is (x-3)(2x+5).

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Round to the nearest tenth

Answers

Answer:

7.0

Step-by-step explanation:

Tangents form right angles, so AOB is a right triangle.

Now using Pythagorean Theorem (A^2 + B^2 = C^2), plug in the values and solve inversely.

5^2 + B^2 = 8.6^2

25 + B^2 = 73.96

B^2 = 48.96

B = squareroot 48.96

B = 6.997 --> 7.0

Answer: r is 7

Step-by-step explanation:

ABO is a right triangle

[tex]a^{2} +b^{2} =c^{2} \\5^{2} +b^{2} =8.6^{2} \\25+b^{2} =73.96\\b^{2} =48.96\\b=6.997[/tex]

Wat is a mixed number or whole number: 11/3

Answers

Answer:

Not exactly sure what your asking but 11/3 as a mixed number is 3 2/3

Answer:

3 2/3 is the simplified version of 11/3

Step-by-step explanation:

What are the ordered pairs of the solutions for the
following system of equations?

Answers

Answer:

(3,1);(6,-2)

Step-by-step explanation:

I pretty much just looked at where they both intersected with each other and you'll get your answer.

Find the common ratio of the geometric sequence –4, 12, -36,...

Answers

Answer: -3

Step-by-step explanation:

The common ratio of the geometric sequence –4, 12, -36,... is -3.

12/(-4) =-3

-36/(12) = -3

They both multiply -3 for the next number.

-4x + 3y = -2

Y = x - 1

Answers

Answer:

(-1, -2)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Distributive Property

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Algebra I

Terms/CoefficientsSolving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define

-4x + 3y = -2

y = x - 1

Step 2: Solve for x

Substitution

Substitute in y:                                                                                                  -4x + 3(x - 1) = -2[Distributive Property] Distribute 3:                                                                 -4x + 3x - 3 = -2Combine like terms:                                                                                         -x - 3 = -2[Addition Property of Equality] Add 3 on both sides:                                     -x = 1[Division Property of Equality] Divide -1 on both sides:                                 x = -1

Step 3: Solve for y

Substitute in x [Original Equation]:                                                                  y = -1 - 1Subtract:                                                                                                            y = -2

The amount of time, in hours, that a computer functions before breakingdown is a continuous random variable with probability density functiongiven byfX(x) ={1100e−x/100x≥00x <0.What is the probability that1. a computer will function between 50 and 150 hours before breakingdown (3 pts)2. It will function less than 100 hours? (3 pts)3. It will function exactly 100 hours before breaking down? (3 pts)

Answers

Answer:

[tex]P(50 < x < 150) =0.3834[/tex]

[tex]P(x = 100) =0.0074[/tex]

Step-by-step explanation:

Given

[tex]f(x) = \left \{ {{\frac{1}{100}e^{-x/100}\ x\ge 0} \atop {0\ x<0}} \right.[/tex]

Solving (a): Probability that it will function between 50 and 150 hr before it breaks down

This is represented as:

[tex]P(50 < x < 150) = \int\limits^{150}_{50} {f(x)} \, dx[/tex]

So, we have:

[tex]P(50 < x < 150) = \int\limits^{150}_{50} {\frac{1}{100}e^{-x/100}} \, dx[/tex]

Integrate:

[tex]P(50 < x < 150) =- e^{-x/100}|\limits^{150}_{50}[/tex]

This gives:

[tex]P(50 < x < 150) =- e^{-150/100} - - e^{-50/100}[/tex]

[tex]P(50 < x < 150) =- e^{-150/100} + e^{-50/100}[/tex]

[tex]P(50 < x < 150) =- e^{-1.5} + e^{-0.5}[/tex]

[tex]P(50 < x < 150) =- 0.2231 + 0.6065[/tex]

[tex]P(50 < x < 150) =0.3834[/tex]

Solving (a): Probability that it will function exactly 100 hr before it breaks down

This is represented as:

[tex]P(x= 100)[/tex]

This can be rewritten as:

[tex]P(x= 100) = P(99<x<101)[/tex]

So, we have:

[tex]P(99 < x < 101) = \int\limits^{101}_{99} {f(x)} \, dx[/tex]

So, we have:

[tex]P(99 < x < 101) = \int\limits^{101}_{99} {\frac{1}{100}e^{-x/100}} \, dx[/tex]

Integrate:

[tex]P(99 < x < 101) =- e^{-x/100}|\limits^{101}_{99}[/tex]

This gives:

[tex]P(99 < x < 101) =- e^{-101/100} - - e^{-99/100}[/tex]

[tex]P(99 < x < 101) =- e^{-101/100} + e^{-99/100}[/tex]

[tex]P(99 < x < 101) =- e^{-1.01} + e^{-0.99}[/tex]

[tex]P(99 < x < 101) =- 0.3642 + 0.3716[/tex]

[tex]P(99 < x < 101) =0.0074[/tex]

Hence:

[tex]P(x = 100) =P(99 < x < 101) =0.0074[/tex]

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