In last weekend's track meet, Lakeland High School had 30 individual-
event placers score a total of 111 points. First-place finishers score 7 points, second-place finishers score 4 points, and third-place finishers score
1 point. The number of first- and second-place finishers was twice the
number of third-place finishers. Find the number of runners that finished in
each place.

Answers

Answer 1

Answer:

The number of runners that finished in first place , second place and third place are 7 , 13 and 10 respectively.

Step-by-step explanation:

Let the no. of runners fished at first place be x

Let the no. of runners fished at second place be y

Let the no. of runners fished at third place be z

We are given that Lakeland High School had 30 individual-  event placers

So, x+y+z=30 -----1

First-place finishers score 7 points

So, Total score of x runners = 7x

Second-place finishers score 4 points

So, total score of y runners = 4y

Third-place finishers score  1 point.

So, total score of z runners = z

We are given that 30 individual-  event placers score a total of 111 points

So, 7x+4y+z=111 ----2

We are also given that  The number of first- and second-place finishers was twice the  number of third-place finishers.

x+y=2z ---3

Substitute the value from 3 in 1

x+y+z=30

2z+z=30

z=10

Substitute the value of z in 1 and 2

x+y=20 ----4 and 7x+4y=101 ---5

Substitute the value of x from 4 in 5

7(20-y)+4y=101

140-7y+4y=101

140-3y=101

39=3y

`13=y

Substitute the value of y and z in 1

x+13+10=30    

x=7

Hence the number of runners that finished in first place , second place and third place are 7 , 13 and 10 respectively.


Related Questions

Solve the following inequality:

4(x - 6) < 3x + 13

Answers

Answer:

x < 37

Step-by-step explanation:

4(x - 6) < 3x + 13

Distribute

4x -24< 3x+13

Subtract 3x from each side

4x-3x -24 < 3x+13-3x

x-24 < 13

Add 24 to each side

x-24+24 <13+24

x < 37

Step-by-step explanation:

4(x-6) <3x+13

4x-24<3x+13

CLT

4x+3x<13-24

7x<-11

x= -11/7

2r – 1 ≥ ‐3(r + 7) Solve inequality and graph the solution.

Answers

Answer:

R ≥-4

Step-by-step explanation:

Substitute

2r-1>-3r-21

+3r

5r-1>-21

5r>-20

Divide 5

R>-4

Your answer is that your solution should be a closed circle on -4 going right.

The mass of Mercury is 3.3022 x 1023 kg, the mass of Venus is 4.8685 x 1024 kg, the mass of Earth is 5.9722 x 1024 kg, and the mass of Mars is 6.4185 x 1023 kg. These four planets are known as the inner planets. What is the approximate combined mass of all of the inner planets?

Answers

Answer:

3378.15+4985.34+6115.53+6566.13 = 21045.15

Simplify.

[tex] {8}^{4} \times {8}^{5} = {8}^{?} [/tex]
Enter the missing exponent.​

Answers

9
is the correct answer when multiplying exponents with the same base, you keep the base add the exponents.

Answer:

The answer to your question is simply just 9.

Best rap of all time
Yeah, yeah
Ayo, men, it's time.
It's time, men (aight, men, begin).
Straight out the amazing dungeons of rap.

The leg drops deep as does my chord.
I never chat, 'cause to chat is the girlfriend of award.
Beyond the walls of arms, life is defined.
I think of trees when I'm in a Mars state of mind.

Hope the board got some record.
My accord don't like no dirty cord.
Run up to the award and get the ward.

In a Mars state of mind.
What more could you ask for? The spiffing leg?
You complain about loud music.
I gotta love it though - somebody still speaks for the egg.

I'm rappin' to the cat,
And I'm gonna move your caveat.

Ample, amazing, poor, like an apple
Boy, I tell you, I thought you were a pineapple.

I can't take the loud music, can't take the stick.
I woulda tried to wash I guess I got no tick.

I'm rappin' to the caveat,
And I'm gonna move your cat.

Yea, yaz, in a Mars state of mind.

When I was young my girlfriend had an egg.
I waz kicked out without no bootleg.
I never thought I'd see that keg.
Ain't a soul alive that could take my girlfriend's segue.

An ample pineapple is quite the apple.

Thinking of trees. Yaz, thinking of trees (trees).

Answers

Answer:

this whack

Step-by-step explanation:


An elephant can drink up to 6,400 fluid
ounces of water a day. How many gallons of
water can an elephant drink per day?

Answers

Answer:

50 gallons

Step-by-step explanation:

50 gallons! Hope this helps let

what is greater, -16 or -3

Answers

Answer:

-3

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

-3 is closer to 0 on a number line.

When measuring volume what is the proper unit in science

Answers

Answer: liters

Step-by-step explanation:

After a concert for 1,600 people, only 8 people said they would not go to see the band again. What percent of the people who went to the concert said they would not go to see the band again? (10 points). :)

Answers

Answer:

0.5%

Step-by-step explanation:

8/1600= 0.005 = 0.5%

At the assembly line, Joe is able to pack 150 boxes of books in one hour. At this rate, how many complete boxes can Joe pack per minute?

Answers

joe be going sicko mode, he finna pack 5/2

they want complete so I'd go with 2 boxes

Answer:

2

Step-by-step explanation:

If he can pack 150 per hour and there are 60 minutes in an hour, then to find the boxes per minute, you must divide 150 by 60. That gets 2.5, and the question said complete boxes so 2.

the rectangle had a length that is 6 inches less that twice it's width. If the perimeter is 54, find the dimensions of the rectangle​

Answers

Answer:

11" x 16"

Step-by-step explanation:

This problem can be solved with an equation

If you translate the first words into an equation, you get:

l = 2w - 6

(where w is width and l is length)

The perimeter (p) of any rectangle is 2l + 2w, so

if p = 54

then 54 = 2l + 2w

Now, you have the following two equations:

l = 2w - 6

2l + 2w = 54

In order to solve this for w, you can replace the l in the equation with (2w - 6) because of the substitution property of equality (if a = b, then a can be replaced with b at any time), so you get:

54 = 2(2w - 6) + 2w

Now, you simplify:

54 = 2(2w - 6) + 2w

= 54 = 4w - 12 + 2w

= 54 = 6w - 12

= 66 = 6w

= w = 11

So the width is 11. In order to find the length you just need to substitute it into the equation for the perimeter:

2l + 2(11) = 54

= 2l + 22 = 54

= 2l = 32

= l = 16

In conclusion, the width is 11 and the length is 16.

Answer:

OMG HI

Step-by-step explanation:

It's been a while... how's life

11) The sum of three consecutive integers is 13 greater than twice the smallest of the three integers. Find the integers.

Answers

Answer:

The sum of 3 consecutive integers is 13 more than twice the smallest integer. Find the integer.

x + (x+1) + (x+2) = 2x + 13

3x + 3 = 2x + 13:

3x - 2x = 13 - 3

x = 10 is the smallest integer:

Check: 10 + 11 + 12 = 2(10) + 13

The integers will be equal to 10, 11, and 12 respectively.

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

The sum of 3 consecutive integers is 13 more than twice the smallest integer. The integer will be calculated as below:-

x + (x+1) + (x+2) = 2x + 13

3x + 3 = 2x + 13:

3x - 2x = 13 - 3

x = 10 is the smallest integer:

Check: 10 + 11 + 12 = 2(10) + 13 = 33

Therefore, the integers will be equal to 10, 11, and 12 respectively.

To know more about Expression follow

https://brainly.com/question/723406

#SPJ2

Algebra sucks tbh but can anyone help ?

Answers

Answer:

A

Step-by-step explanation:

count how many 3's there are (1)

3^1

3^1 simplifies to just 3

3

count how many x's there are (4)

3x^4

count how many y's there are (4)

3x^4y^4

Answer:

The answer is Letter A

Explanation:

It's because based on the given formula there is only one 3 four x and four y , so the 3 remains itself and x raise fo four as well as y so Letter A

Enter the value of x! Thank you!

Answers

Answer:

x = 3

Step-by-step explanation:

given:

f(x) = g(x)

f(x) = x³ - 3x² + 2

g(x) = x² - 6x + 11

find: the value of x

solution:

as given f(x) = g(x) equate each side x³ - 3x² + 2 =  x² - 6x + 11 combine similar terms and equate to zero: x³ - 4x² + 6x - 9 = 0 solve by factoring: (x - 3) (x² - x + 3) use the Zero factor principle: x - 3 = 0 x = 3 for x² - x + 3 = 0 ----this is a complex solution.

therefore, the value of x = 3

Step-by-step explanation:

[tex]

\underline{\bf{Given\::}}

Given:

\underline{\bf{To\:find\::}}

Tofind:

\underline{\bf{Explanation\::}}

Explanation:

\boxed{\bf{\frac{1}{f} =\frac{1}{v} -\frac{1}{u} }}}}

\begin{gathered}\longrightarrow\sf{\dfrac{1}{-10} =\dfrac{1}{v} -\dfrac{1}{-30} }\\\\\\\longrightarrow\sf{\dfrac{1}{v} =\dfrac{1}{-10} +\dfrac{1}{30} }\\\\\\\longrightarrow\sf{\dfrac{1}{v} =\dfrac{-3+1}{30} }\\\\\\\longrightarrow\sf{\dfrac{1}{v} =\cancel{\dfrac{-2}{30} }}\\\\\\\longrightarrow\sf{\dfrac{1}{v} =\dfrac{1}{-15} }\\\\\\\longrightarrow\sf{v=-15\:cm}\end{gathered}

−10

1

=

v

1

−30

1

v

1

=

−10

1

+

30

1

v

1

=

30

−3+1

v

1

=

30

−2

v

1

=

−15

1

⟶v=−15cm

\boxed{\bf{M \:A \:G \:N\: I \:F \:I \:C\: A\: T \:I \:O\: N :}}

MAGNIFICATION:

\begin{gathered}\mapsto\sf{m=\dfrac{Height\:of\:image\:(I)}{Height\:of\:object\:(O)} =\dfrac{Distance\:of\:image}{Distance\:of\:object} =\dfrac{v}{u} }\\\\\\\mapsto\sf{m=\cancel{\dfrac{-30}{-15}} }\\\\\\\mapsto\bf{m=2\:cm}\end{gathered}

↦m=

Heightofobject(O)

Heightofimage(I)

=

Distanceofobject

Distanceofimage

=

u

v

↦m=

−15

−30

↦m=2cm

Thus;

The magnification will be 2 cm .

[/tex]

what is 16 divided by 3482?

Answers

Answer the answer is 217.62.

Step-by-step explanation:


Jenny is a software salesperson. Her base salary is $ 1500 and she makes $50 more for every copy of English is Fun she sells. Her total pay, P (in dollars), after
selling c copies is given by the following.
P = 50c+1500
oo
Answer the following questions.
B
(a) What is Jenny's total pay if she sells 21 copies?
si
(b) If Jenny's total pay is $3150, how many copies did she sell?
copies

Answers

A- 1,050 hope that works

date listibutan
Х
Unit test
Consider the density curve below.
y
0.4
0.2+
1
1
1
2
3
5
6
Find the percent of the area under the density curve where is more than 3.
%
Report a problem

Answers

Answer:

40

Step-by-step explanation:

please help
thanks in advance

Answers

Answer:

24

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

The median is the number in the middle. So first we order these numbers up which is:

2  15  16  23  24  25  25  26  34

Next we see in the middle we have 24, since there is four numbers on either side.

What are some external and internal character traits of each character in Tuck Everlasting. Please include text evidence from the book.

Answers

Answer:

this is the math part of Brainly...  try the literature part for book reviews

Step-by-step explanation:

the water cycle describes how water __ from the ocean ,plants ,animalas or waste

Answers

Answer:

evaporates

Step-by-step explanation:

Answer:

The water cycle describes how water evaporates from the ocean, plants, animals, or waste.

Step-by-step explanation:

The word evaporates is the answer.

Hope this helps!

What is the answer I don’t understand how to do it

Answers

The answer is negative 22 (-22)

Answer:

= -22

Step-by-step explanation:

In a simple way to say it, all you have to do is add.

Remember that two negatives being added together will remain a negative.

Think of a number line, -11 would be on the left side of the 0. If you subtract another 11, you move 11 spaces more to the left. This gives you -22.

Or simply add the 11 and then add the negative sign next to it.

-(11+11)= -22

Hope this helps! :)

I will make you brainlliest and give you some points please help me i need help.
Thanks:)!!


Simplify -9(10 + 2).

-88
-72
-92
-108

Answers

Answer:

-108 is the correct answer

Step-by-step explanation:

=-9(10+2)

=-90+(-18)

=-90-18

= -108

Answer:

It's D or -108 (✿◠‿◠)

How do you solve this?!!

Answers

Answer:

I dont know try asking ur parents (I'm so sry that sounded mean)

Try scanning it on this app, or look it up on google. Hope this helps :)

Is this true 2.01 < 2.2

Answers

Answer: True

Let's make 2.2 into a three digit number to calculate and focus better.

⇒ 2.01 < 2.20

2.20 is 0.19 more than the number/decimal 2.01.

So, the answer is True. 2.2 is greater than 2.01.

The shelf is made of 3 pieces of wood, each 0.3 meters wide. There is also 0.05 meter of space between the shelf and wall on each side. What is the width, in meters, of Joslyn's closet

Answers

Answer:

1.05

Step-by-step explanation:

To start, you need to know how long the shelving is, so you would multiply 0.3*3 since there are three pieces of wood. After you do that, you need to find out exactly how much space is from the shelving to the wall, so multiply 0.05*2 since there are two sides of the shelf. Add it all together for a total of 1.05

My calculator work will be posted below.

If you need more help, message me!

-1 1/3- 1 2/3 in the simplest form

Answers

Answer:

-3

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

thats in the simplest form

I WILL MARK BRAINLEST I NEED THIS NOW THOUGH...

Use (2, 3) and (5,7) and put in Pt Slope Y-y1 = m ( x - x1)

Hint: 1 find slope y-y/x-X

2. Use first point for writing equation (2, 3)

Show Your Work

Answers

Answer:

Use (2, 3) and (5,7) and put in Pt Slope Y-y1 = m ( x - x1)

The slope is 7-3/5-2

So the answer is 4/3

Hint: 1 find slope y-y/x-X

2. Use first point for writing equation (2, 3)

Show Your Work

Step-by-step explanation:

A line passes through the points (–3, –4) and (6, 2). A coordinate plane. What is the x-intercept of this line? –3 –2 2 3

Answers

Answer:

D

Step-by-step explanation:

I got it on edge

Answer:3

Step-by-step explanation:

just did it

What is the slope of a line perpendicular to the line whose equation is
3x – 12y = 216. Fully reduce your answer.
=

Answers

X=72 Is the answer for your question

Answer:

Step-by-step explanation:

-4

Combine 250 mL, 500 mL, 750 mL and 3 L. How many liters is this

Answers

Answer:

4.5

Step-by-step explanation:

250 mL= 0.25 L  500 mL= 0.5 L  750mL= 0.75 L+3L

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