In cross country, the team score is determined by the place each individual runner finishes. (For example, 1st place is one point, 16th place is 16 points, etc.) In their latest meet, the boys cross-country team scored 55 points. If there were five runners on the team and each runner finished one after another, what places did they come on? Explain your reasoning and support your answer. *

Answers

Answer 1

Answer:

Kindly check explanation

Step-by-step explanation:

Given that there were five rummers in the team;

Each runner finished one after the other

Total. Points scored =. 55

Let the positions of each runner be :

1sr runner = p

2nd runner =.p + 1

3rd runner =.p + 2

4th runner =.p + 3

5th runner =.p + 4

(1st + 2nd + 3rd + 4th +. 5th) runner = 55

(p + p + 1 + p + 2 + p + 3 + p + 4) = 55

5p + 10 = 55

5p = 55 - 10

5p = 45

p = 9

Hence,

1st runner = 9th

2nd runner = 9 + 1 = 10th

3rd runner = 9 + 2 = 11th

4th runner = 9 + 3 = 12th

5th runner = 9+ 4 = 13th


Related Questions

how many inches are in a 20 foot rope

Answers

Answer:240 inches

Step-by-step explanation:

Answer:

240 in.

Step-by-step explanation:

1 foot is equal to 12 inches. Being that there are 20 feet you would multiply 20 by 12 and get 240.

12x - 7 = -3x + 8

Uhhh answer plsss

Answers

Answer:

x = 1

Step-by-step explanation:

Rearrange

12x + 3x = 8 + 7

Simplify

15x = 15

x = 1

Numbers like 10, 100, 1,000, and so on are

called?

Answers

Numbers starting with a 1 and followed by only 0s (such 10, 100, 1,000,10,000, and so forth) are called powers of ten, and they're easy to represent as "exponents". Powers of ten are the result of multiplying 10 times itself any number of times.

write an expression that is equivalent to 25x^2 -20x + 4

Answers

It would be (5x-2)^2

Help me someone please I’m lost and confused??

Answers

Answer: go to Cymath

Step-by-step explanation: This helped me with like everything in math class! It gives you step by step answers

If a zombie sleep for 96436 year but woke up 329 years ago how long did really sleep?

Answers

Answer:

96436-329 = 96107

Step-by-step explanation:

Need help with 22 and please gives explanation

Answers

Answer:

45 mi/h

Step-by-step explanation:

Here, we can find the total distance divided by the total time. To find the total time, we can set up 2 equations:

[tex]d = vt[/tex] (which is the formula that connects velocity, time and displacement).

Here, we have to split the trip into 2 displacements because the car changes speed. So, we have 40 mi = 40 (mi/h) * t1. And t2 = 1 hour. For the second distance: 20 mi = 60 (mi/h) * t2. And t2 = 1/3 hrs.

since total time = t1+t2, we get the total time is 4/3 hours. Then, we get:

80 = [tex]v_{avg}[/tex]*(4/3)  where [tex]v_{avg}[/tex] is the average velocity of the trip. Finally, we get [tex]v_{avg}[/tex] = 45 mi/h

what is the answer? -3/4-1 3/8

Answers

Answer:

[tex]\frac{-19}{8}[/tex]

Step-by-step explanation:

[tex]\frac{-3}{4}-\frac{13}{8}[/tex]

[tex]-\frac{3}{2^2}-\frac{13}{2^3}[/tex]

[tex]\frac{2(-3)+(-13)}{2^3}=\frac{-19}{8}[/tex]

hope it helps u

Given that 1 pound equals 16 ounces, how many pounds are in 116 ounce -) A) 6.75 pounds B) 7.25 pounds 7.5 pounds D) 7.75 pounds​

Answers

Answer:

B)7.25

Step-by-step explanation:

16x7.25=116

there are 48 newborn girls in a hospital nursery. For every 3 girls, there are 2 boys. How many newborn babies are in the nursery?

Answers

Hi! I believe your answer is 80 newborn babies. To find the number of boys, divide 48 by 3 (since it is for every 3 girls) and you'll get 16. Next, multiply 16 and 2 (for every 2 boys) and you'll get 32. Lastly, add 48 and 32 and you'll get the number of newborn babies in the nursery (80). I hope this helps you! Good luck and have a great day. ❤️✨

Number of total newborn babies = 80

What is ratio?

A ratio can be defined as the relationship or comparison between two numbers of the same unit to check how bigger is one number than the other one.

Given,

Total number of girls = 48

For every 3 girls, there are 2 boys.

Ratio of girls to boy = 3/2

Let there are x boys,

then,

48/x = 3/2

3x = 96

x = 32

Number of boys = 32

Total newborn babies = Number of girls + number of boys

                                     = 48 + 32 = 80

Hence, 80 newborn babies are in nursery.

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need help with solving equations

Answers

Answer:

1) -2

2) 6

3) -9

Step-by-step explanation:

1)2/5(x+7)=2(x+3)

2/5x+2.8=2x+6

2/5x=2x+3.2

-1.6x=3.2

x=-2

2)2x+6=2/3x+14

2x=2/3x+8

1 1/3x=8

x=6

3)40+2x=6-8x-56

40+2x=-8x-50

90+2x=-8x

90=-10x

x=-9

You want to buy a guitar that costs $425, but today there is a sale of 30% off. What is
the sale price of the guitar you want to buy? Would it be a mark up or a mark down and how do you know?

Answers

Answer:

297.50

Step-by-step explanation:

This would be considered a markdown because the guitar is on sale.

Why am not being allowed to login?

Answers

You are either banned or you are deleted, there is also the possibility that you are inputting the wrong password

These are all possibilities that you may or may not understand

Hope this helps you

✨SammySilkWorm waz here✨

Answer:

mine is doing the same thing

Step-by-step explanation:

The fifth term of a non-linear sequence is 9.
The term-to-term rule is divide by 3'.
Work out the second term of the sequence.​

Answers

Answer:

a₂ = 243

Step-by-step explanation:

The term to term rule from left to right in the sequence is divide by 3

The term to term rule from right to left is the opposite, multiply by 3

Given

a₅ = 9, then

a₄ = 9 × 3 = 27

a₃ = 27 × 3 = 81

a₂ = 81 × 3 = 243 ← required term

which three points in the figure are collinear?

Answers

Answer:

A, D, and E

Step-by-step explanation:

A, D, and E all fall on the same line, therefore, they are all collinear.

A skateboarder rides by my office every 9 minutes, and a cyclist rides by every 6 minutes. How long will it take for the skateboarder and cyclist to ride by at the same time?

Answers

Answer:

6:00

Step-by-step explanation:

The time taken by the skateboarder and cyclist to ride by at the same time is given by A = 18 minutes

What is HCF and LCM?

The Greatest Common Divisor GCF or the Highest Common Factor HCF is the highest number that divides exactly into two or more numbers. It is also expressed as GCF or HCF

Least Common Multiple (LCM) is a method to find the smallest common multiple between any two or more numbers. A common multiple is a number which is a multiple of two or more numbers

Product of HCF x LCM = product of two numbers

Given data ,

Let the skateboarder rides by the office every 9 minutes

And , a cyclist rides by every 6 minutes

Now , time taken by the skateboarder and cyclist to ride by at the same time be A

where A = LCM of the two numbers

So , the smallest time interval at which both events occur. In other words, we need to find the least common multiple (LCM) of 9 and 6.

Factors of 9 : 9, 18, 27, 36, 45, 54, 63, 72, 81, 90

Factors of 6 : 6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60

So , common multiple and the LCM is 18

Hence , the time taken is 18 minutes

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HELP. What are the coordinates of -2.5, 2.5 when rotated 180 degrees

Answers

i think it would just be 2.5, -2.5, just flipping them?

Jose takes 120 minutes to weed 6 equal rows of vegetable plants in his garden. What is his unit rate
per hour for weeding these rows of his garden?
The unit rate is
rows per hour or
1.

Answers

Answer:

3 rows/hour

Step-by-step explanation:

It is given that, Jose takes 120 minutes to weed 6 equal rows of vegetable plants in his garden.

120 minutes = 2 hours

We need to find the unit rate per hour for weeding these rows of his garden. It can be calculated as follows :

[tex]R=\dfrac{6}{2}\\\\R=3\ \text{rows/hour}[/tex]

So, the rate for weeding these rows of his garden is 3 rows per hour.

What is the expression in factored form?
2x^2+ 19x + 24

Answers

Answer:

factor by group the answer will be (2x+3)(x+8)

Step-by-step explanation:

Mark as Brainliest!!!Hope this Helps:)

cómo se resuelve?

a) 3X+Y=16
5X-Y=24

b) 5X+4Y=35
2X+2Y=16

c) X+Y =21
3X+7Y=107​

Answers

The answer is:

A

Hope that helps you

What is the equation of the line that passes through the point (3, -5) and has a
slope of 2/3?

Answers

The answer is this I have to have 20 words in here but here is the answer Y=2/3x-3

can u guys help me pls

Answers

Answer: The answer to number 1 is 91 adults

Step-by-step explanation: Since 1 on the ratio is 13 people, 13 x 7 is 91.

The answer is number 1 91 adults

Graph the inequality:
y < − abs(x−3)−2

Answers

Answer:

suck dic

Step-by-step explanation:

A hiker started the day at an elevation of 800 feet. He climbed 200 feet in elevation to his first rest stop, hiked down 400 feet in elevation to his second rest stop, and climbed 500 feet in elevation to his third rest stop. What is the average elevation of his three rest stops

Answers

Answer:

The average elevation of his three rest stop is 900 ft

Step-by-step explanation:

The elevation at which the hiker started = 800 feet

The extra height to which he climbed on his first rest stop = 200 feet

The height down which he climbed to his second rest stop = 400 feet

The height to which he then climbed to his third rest stop = 500 ft

Given that the hiker started at 800 ft, we have;

His height at his first rest stop = 800 + 200 = 1,000 ft

His height at his second rest stop = 1000 - 400 = 600 ft

His height at his third rest stop = 600 + 500 = 1,100 ft

Therefore, the average elevation, hₐ, of his three rest stop is given as follows;

hₐ = (The sum of the three elevation)/(The number of elevation)

hₐ = (1,000 ft + 600 ft + 1,100 ft)/(3) = (2700 ft)/3  = 900 ft

The average elevation of his three rest stop = 900 ft.

what is 87 divided by 15 with remainder
\

Answers

Answer:

5.8

Step-by-step explanation:

87/15 = 5.8

Which statement is true for the values of P and Q on this number line? P Q + + + + -2 -1 0 1 -6 -5 -4 لی A) ?>4 (B) PxQ< 5 CP+Q>-4 D P-Q > 0​

Answers

Answer: B

Step-by-step explanation:

Estimate this by rounding each number to 1 significant figure
a. 326 X 4.89​

Answers

Step 1: 326 x 4.89

Step 2: 1594.1400

Step 3: 2000

Answer: 2000

Write an equation of a line in slope-intercept form, which is passing through the point (8, −6) and is parallel to another line, whose slope is −2

Answers

Answer:

y=-2x+10

Step-by-step explanation:

slope intercept is written as y=mx+b

the slope or m is -2 and using the slope we can calculate a y-intercept or b of 10.

hope this helps!

Answer:

y=-2x+10

Step-by-step explanation:

Hello there!

First the equation of a line is y=mx+b (m is the slope and b is the y-intercept)

Plugging in the formula, the problem already gives you the slope, which is -2, so y=-2x+b

Next, we have to find the y-intercept! We have a pair, (8,-6), so we can plug that into the current equation we have:

-6 = -2*8 + b

-6 = -16 + b

(add 16 to both sides)

10 = b (or b=10)

Now that we have all of the parts we need, our answer will be y=-2x+10

Hope this helped!

Write the sentence as an inequality. A number x is less than 7 and greater than 3

Answers

X LS 7 GT 3
Um or
X LS 7+3

The inequality as per the given statement will be equal to 3 < x < 7.

What is inequality?

Inequalities are mathematical expressions where neither side is equal. In inequality, as opposed to equations, we compare the two values. Less than (or less than and equal to), larger than (or greater or equal to), or not similar to signs are used in place of the equal sign in between.

As per the information in the question,

Let the number is x.

x is less than 7.

x < 7 and,

x is greater than 3,

So, x > 3

So, it can be written in combined form as:

3 < x < 7

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Jane and her friends are going on a hiking trip. Jane wants to make snack packs to take on a trip. She has 24 apples and 36 small bags of trail mix. Each snack pack must have the same number of apples and the same number of bags of trail mix. What is the greatest number of snack packs Jane can make? Explain.

Answers

Answer:

The greatest number of snack packs Jane can make is 12 snack packs

Step-by-step explanation:

We solve this question using the greatest common factor method

First step would be to find the factors of 24 and 36

The factors of 24 are: 1, 2, 3, 4, 6, 8, 12, 24

The factors of 36 are: 1, 2, 3, 4, 6, 9, 12, 18, 36

Then the greatest common factor amongst the above factors for 24 and 36 is 12.

Therefore, the greatest number of snack packs that she can make is 12 packs.

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