Nick, Joey, Beki, and Carmen ran in the town's annual road race. Each person had a different jersey number {2, 13, 20, and 34} and finished in a different amount of time {10 minutes, 11 minutes, 12 minutes, and 14 minutes}. Use the information and deductive reasoning to determine each person's jersey number and race time.
•the runner with the lowest jersey number also ran the slowest time
• Nick's jersey number is 18 greater than Carmen's.
•Of the four runners, a man had the fastest finishing time.
• The sum of the digits on Beki's jersey number is 7
•Nick finished exactly 2 minutes faster than Beki.

Answers

Answer 1

Answer:

Beki's jersey number is 34. She last 12 minutes

Nick's jersey number is 20. He last 10 minutes

Carmen's jersey number is 2. She last 14 minutes

Joey's jersey number is 13. He last 11 minutes

Step-by-step explanation:

• The sum of the digits on Beki's jersey number is 7. Therefore, Beki's number is necessarily 34 (3+4 = 7)

• Nick's jersey number is 18 greater than Carmen's. Therefore, Nick's jersey number is 20 and Carmen's jersey number is 2 (2 + 18 = 20). If Carmen's jersey number was 13, 13+18 = 31 which is not included in the options. If it was 20, 20+18 = 38 is not included either.

• From previous items, Joey's jersey number is 13

• The runner with the lowest jersey number also ran the slowest time. Therefore, Carmen last 14 minutes

• Nick finished exactly 2 minutes faster than Beki. Therefore, Nick's time is 10 minutes and Beki's time is 12 minutes, because from the remaining options (10, 11 and 12) this is the only combination 2 minutes apart.

• From previous items, Joey's time is 11 minutes


Related Questions

ANSWER QUICK. BRAINLIEST FOR FASTEST AND BEST ANSWER.

what is the ordered pair for the graph?​

Answers

(2,40) is the ordered pair where the 2 lines meet

Please help i think i know the answer but im not sure

Answers

Answer:

A. 15 sq in

Step-by-step explanation:

So it wants to know the area of the yellow face: we have to subtract that chunk cut out of the bottom right from the larger rectangle.

Area = length x width = 4*4 = 16 sq in. This is the area of the larger rectangle.

Area = length x width = 1*1 = 1 sq in. This is the area of the rectangle that's cut out of the yellow area.

16 - 1 = 15 sq in

Answer: i feel like it's 15 length x width x height 4, 8, 12+3=15

Step-by-step explanation:

The Wall climbing gym charges a yearly membership fee of $50 plus $1.99 for every visit to the gym. The Don't Fall climbing gym has no membership fee and charges $3.99 per visit to their gym. Which of the following is the correct equation to find the number of visits, so the costs will be the same?

Answers

Answer:

Is there multiple choice?

Step-by-step explanation:

Answer:

50+1.99*v=3.99*v= 13 visits

Step-by-step explanation:

The first gym has 50 subrsiption but one visit cost 1.99 while the other cost 3.99 per visit with 13 visits it cost around the same as the 51.99

Ian needs to replace two concrete sections in his sidewalk, as modeled below. Each section is 36 inches by
36 inches and 4 inches deep. He can mix his own concrete for $3.25 per cubic foot. How much money will it cost Ian to replace the two concrete sections?

Answers

Answer: $19.5

Step-by-step explanation:

Hi, to answer this question we have to apply the next formula:

Volume of a rectangular prism = width x length x height

Replacing with the values given:

Since 1= 1/12 foot

36 in /12 = 3 foot  (length and wifth)

4 in /12 = 1/3 foot  (height)

V = 3 x 3 x 1/3 = 3ft3

Next, we multiply it by 2 (since there are 2 sections):

3 x 2 = 6 ft3

Finally we multiply it by the cost of each cubic foot:

6 x 3.25 = $19.5

Feel free to ask for more if needed or if you did not understand something.

If 2a=3b and 4a+b=21, then b =

Answers

Answer:

b=3

Step-by-step explanation:

2a=3b and 4a+b=21,

Multiply the first equation by 2

2(2a) = 2*3b

4a = 6b

Substitute this into the second equation

4a+b = 21

Replace 4a with 6b

6b+b = 21

Combine like terms

7b = 21

Divide each side by 7

7b/7 = 21/7

b = 3

IM GIVING 20 POINTS. help me please. it would be very helpful

Answers

Answer:

14.14 ft

Step-by-step explanation:

In an isosceles triangle, the altitude and median is same. So the height divides the base AB equally such that AD = DB = 10, if the height is CD. So using Pythagoras theorem, we can find the hypotenuse AC in triangle ADC.

h² = b² + a²

AC² = AD² + CD²

AC² = 10² + 10²

AC² = 100 + 100

AC² = 200

AC = √200

AC ≈ 14.14 ft

Hope this answer helps you!!

Please mark me as the brainliest!!

4)
Express in simplest form:

Answers

A /b = 4 +c so the answer is 40

help plz I don't how to dis works lol​

Answers

Answer:

Your Answer Is C!

Step-by-step explanation:

I hope this helps!

Brainliest!

Please help me with ALL of them?!

Answers

Answer:

D , H, A, I

Step-by-step explanation:

These are approximates, don't take this to heart.

Answer is D. H. A. I.

Lisler
Ellen has a total of 18 apples on her apple tree. She wants to give each of her neighbors 3 apples. Which equation can be written to determine the number of neighbors, X,
that Ellen can give apples to?
1
18-x= 3
2
18 x 3 = x
3.
x = 18 = 3
4
3x = 18​

Answers

Answer:

4. 3x=18

Step-by-step explanation:

To find the answer you do 18/3=X, then all you do is turn that division problem into a multiplication problem and get 3x=18

Answer:

3x = 18 (4)

Step-by-step explanation:

If she has a total of 18 apples, and she wants to give her neighbors three apples each, you would have to divide 18 by 3 to find how many neighbors she can give them to.

18 divided by 3 = x

x = 6

The useful life of a radial tire is normally distributed with a mean of 30,000 miles and a standard deviation of 5000 miles. The company makes 10,000 tires a month. What is the probability that if a radial tire is purchased at random, it will last
between 20,000 and 35,000 miles?

Answers

Answer:

  empirical rule: 81.5%

  table or calculator: 81.9%

Step-by-step explanation:

The lower limit of the life range of interest has a z-score of ...

  z = (x -μ)/σ = (20,000 -30,000)/5,000 = -2

The upper limit has a z-score of ...

  z = (35,000 -30,000)/5,000 = 1

Empirical rule solution

The empirical rule tells you that 95% of the distribution lies within 2 standard deviations of the mean, so (100% -95%)/2 = 2.5% lie below z = -2. It also tells you 68% lie within 1 standard deviation of the mean, so (100% -68%)/2 = 16% lie above z = 1.

The fraction that lies within -2 to 1 standard deviations of the means is thus ...

  (100% -2.5% -16%) = 81.5%

The probability the tire has a life in the desired range is about 81.5%.

__

Calculator solution

A probability calculator for the Normal distribution tells you that ...

  P(-2 < z < 1) ≈ 0.8185946

The probability the tire has a life in the desired range is about 81.9%.

Solve the following system.
1
v=()x2 + 2*
2 + 2x-1 and 3x-y=1

Answers

Answer:

x = 1 + i, x = 1 - i

Step-by-step explanation:

Make the second equation y = 3x - 1

Substitute: 3x - 1 = 1/2x^2 + 2x

Simplify: 6x - 2 = x^2 + 4x

x^2 + 4x + 2 = 6x

x^2 - 2x + 2 = 0

Complete the square: x^2 - 2x + 1 = - 1

(x - 1)^2 = -1

x - 1 = ± √-1

Take out the negative: x - 1 = ± i

x = 1 + i, x = 1 - i

i is for imaginary number

Answer: (0,-1) and (2,5) for the answers.

Step-by-step explanation:

Can someone please answer my question from my profile please thank you

Please help box and whisker plot

Answers

Answer:

50%

Step-by-step explanation:

For each line it represents 25% so half of the data is on the opposite side of 60.

-4x - 9y = 26
8x +9y = -34
Add to eliminate y.
Subtract to eliminate y.
Add to eliminate x.
Subtract to eliminate x.

Answers

Answer:

add to eliminate y

Step-by-step explanation:

Because the one y is negative, you would add it to the positive y to eliminate both. A positive plus a negative is the same as subtracting from the positive number.

ex: [tex]10+-5=5[/tex] because [tex]10-5=5[/tex]

hope this makes sense :)

Answer:

Add to eliminate y

Step-by-step explanation:

This is because you'll want to add

-4x -9y = 26

8x +9y = -34

to get rid/eliminate the y

The reason why it's not subtract it because the it'll become

-4x-9y=26

-8x-9y=34

which makes the y-values not the reciprocal of each other and you wouldn't be able to eliminate the y.

And it's neither of the add or subtract to eliminate x because the numbers need to be the same numbers and reciprocal of each other

ex:

4 and -4

or

8 and -8

or

-10 and 10

PLEASE HELP ASAP!
QUESTION IN PHOTO

Answers

Answer: The answer is the last one. Hope this helps!

can someone please help me with this I'm struggling. ​

Answers

Answer:

x= 6°

Step-by-step explanation:

∠DEF +∠EFD= ∠EDG

(ext. ∠= sum of int. opp ∠s)

9x +7° +70°= 21x +5°

21x -9x = 77° -5° (bring x terms to one side)

12x= 72° (simplify)

x= 72° ÷12

x= 6° (simplify)

which quadrilateral has equal diagonals
A.parallelogram
B.rhombus
C.trapezoid
D.rectangle
E.none

Answers

Answer: D

Step-by-step explanation:

All of it’s angles are equal

Answer: A:Parrallelogram

Step-by-step explanation:

A circular flower bed is 21 m in diameter and has a circular sidewalk around it that is 3 m wide. Find
the area of the sidewalk in square meters. Use 3.14 for 1.
The area of the sidewalk is m?.
(Round to the nearest whole number as needed.)

Answers

Answer:

424

Step-by-step explanation:

pie r squared is area of a circle

21(squared)x3.14=1385

minus this from 24squaredx3.14 =1809

1385-1809=424

The area of the sidewalk is 226.08 m²

What is an area?

Area is defined as the total space taken up by a flat (2-D) surface or shape of an object.

The space enclosed by the boundary of a plane figure is called its area.

The area of a figure is the number of unit squares that cover the surface of a closed figure.

Area is measured in square units like cm² and m².

Given that, a circular flower bed is 21 m in diameter and has a circular sidewalk around it that is 3 m wide. We need to find the area of the sidewalk.

To find the same, we will subtract the area of the inner circular region from  the outer circular region,

The radius of the outer circular region = 21/2+3 = 10.5+3 = 13.5 m

The area of the sidewalk = πR²-πr², where R = radius of outer region and r = radius of inner region

= 3.14(13.5²-10.5²)

= 3.14 x 72

= 226.08 m²

Hence, the area of the sidewalk is 226.08 m²

Learn more about area, click;

https://brainly.com/question/27683633

#SPJ7

Which equation represents a function?
A) x = 4y + 7
B) y2 = -5x - 8
C) x2 + y2 = 16
D) y = ±2x + 3

Answers

Answer:

d y = 2x+3

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Describe products, current and future, that may be
created using DNA technology in agriculture.

Answers

Answer: DNA technology in agriculture has been used to create Genetically Modified Organism. The plants can be modified to be resistant to drought and diseases/pests and have increased yield

DNA technology mainly involves the manipulation of the genome of an organism. Usually a foreign DNA is inserted in the genome of another organism to impart it with desired characteristics or remove undesired ones.

Answer:

DNA technology in agriculture has been used to create Genetically Modified Organism

Step-by-step explanation:

rachel's rectangle has either 2 pairs of dides the same length or all sides the same length? true or false

Answers

Answer:

false

Step-by-step explanation:

Answer:

It is false

Hope this helps :)

Please mark me brainliest

2xyx + 3z - z when x = -1 and y = -2 and z = 3

Answers

Brainiest please

Answer:

2

Step-by-step explanation:

2(-1)(-2)(-1)+3(3)-3= 2

Hope this helps you

Fiona divided 3x2+5x-3 by 3x+2. The expression represents the remainder over the divisor.




What is the value of a?


-5

-1

1

5

Answers

Answer:

-5

Step-by-step explanation:

Shown in the attachment.

The remainder when 3x^2 +5x -3 is divided by 3x+2 is -5

Answer:

if this is for edg is a

Step-by-step explanation:

1. Kaly can select from 5 types of candies and 4 types of chocolates . If she randomly selects 1 chocolate and 1 candy, how many possible options does she have?
Kaly has a total of [a] possibilities.


2. Ana is having dinner with her parents at Bellini in Weston that serves 5 kinds of pasta (penne, rigattoni, angel hair, cannelloni, and tortellini) in 4 different flavors (four cheese, pesto, pink sauce, and bolognese). If Ana randomly picks one kind of pasta and flavor, what is the probability that Ana ends up with rigattoni, pink sauce, or both? Enter your answer as a simplified fraction. Use / to write your fraction.
The probability is [a]


3. Kyle has 3 pairs of pants, 4 pairs of shoes, and 5 shirts. How many attire can Kyle make consisting of 1 pair of pants, 1 shirt, and 1 pair of shoes? Group of answer choices
60
20
12
30

Answers

Answer:

20..... 1/10

Step-by-step explanation:4x5 equals twenty

2/20 divided by 2 is 1/10

Can anybody help me please!!

Answers

Answer:

Elementary students should be token off

If its not right please do not report.

C. The district should target middle school students

Use the unit circle to find the following values.
1. sin 150
2. tan 315
3. cot 11pi/6
4. cos 2pi/3

Answers

Where is the circle

Solve this please with an explanation of process your finding the values of x and y

Answers

Congruent sides, so isosceles triangle.  When we have an isosceles triangle the bisector of angle A is a perpendicular bisector of BC with foot D.   So x=ADB=90 degrees.

Angle B is 47 degrees and angle y=BAD is complementary, the other acute angle in a right triangle.

y = 90 - 47 = 43

Answer: x=90, y=43

Please help thank you

Answers

Answer:3 or c in my case

Step-by-step explanation:

A perimeter increased by four is twenty eight.
(As an equation)

Answers

Answer:

P+4=28, meaning that the original perimeter was 24

Step-by-step explanation:

Let's call the perimeter P.

Converting the words into an equation, you get:

P+4=28

Now, you can subtract 4 from both sides:

P+4-4=28-4

P=24

Hope this helps!


Of the 20 plants in Melissa's
vegetable garden, 7 are herbs.
What percent of the plants in
Melissa's garden are herbs?

Answers

Answer:

35 % are herbs

Step-by-step explanation:

7    = 35

20  = 100

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