On the track and field team,
3
8
of the members do the hurdles.
Of the members who do the hurdles,
4
5
also do the long jump.
If there are 40 members on the track team, how many do both the hurdles and the long jump? I really need help...

Answers

Answer 1

Answer:

It could be anywhere from eight to 15 members.

Step-by-step explanation:

Answer:

A. Count the members on each team

   Hurdles  = ⅜ × 40 = 3 × 5 = 15

Long jump = ⅘ × 40 = 4 × 8  = 32

Let's look at the two extremes.

B. Most people will compete in only one event

Then the teams will overlap by seven members (Figure 1).

C. All those in Hurdles compete in the Long Jump

Then 15 members will compete in both Hurdles and Long Jump (Figure 2).

On The Track And Field Team, 38 Of The Members Do The Hurdles.Of The Members Who Do The Hurdles, 45 Also
On The Track And Field Team, 38 Of The Members Do The Hurdles.Of The Members Who Do The Hurdles, 45 Also
Answer 2

Answer:

12 do both hurdles and long jump

Step-by-step explanation:

3/8 of the team does hurdles, so that number is 3/8·40 = 15.

Of those 15, 4/5 do long jump, so there are ...

4/5·15 = 12 . . . hurdlers who do long jump


Related Questions

What is the answer to this?

Answers

Answer:

90°

Step-by-step explanation:

The angles at the intersection of a kite will always be 90°

Find the value of h in the parallelogram. Round your answer to the nearest tenth​

Answers

Answer:

h=7.5 in

Step-by-step explanation:

see the attached figure with letters to better understand the problem

In the right triangle ABC

sin(CAB)=15/18 ----> opposite side divided by the hypotenuse

In the right triangle CDE

sin(DCE)=h/9 ----> opposite side divided by the hypotenuse

In this problem

∠CAB=∠DCE ------> by corresponding angles

therefore

sin(CAB)=sin(DCE)

15/18=h/9

solve for h

h=15*9/18

h=7.5 in

Answer:

Step-by-step explanation:

7.5 inches is correct

Brainliest + Points Please help!!!

A force of 100 newtons will stretch a spring 0.25 meters. How far will a force of 80 newtons stretch it?

Use Hooke's law F = kx.

A.
0.04 meters

B.
0.2 meters

C.
0.4 meters

D.
2 meters

Answers

Answer:Your Answer would be  B 0.2 meters

Step-by-step explanation:

Which of the following statements is false regarding randomization

Answers

Answer:

Randomization can be replaced by accurately matching the sample to the population

You should never replace Randomization, its important. Thats why this is false (I just took this quiz)

a cup is 6.4 cm tall, not including the 0.6 cm lip. cups are stacked inside one another. select the function that represents the height of the stack of cups in terms of the number of cups in the stack

Answers

Answer:

c=20

Step-by-step explanation:

H(c)=6.4+0.6c

6.4 is the constant

when the height of the cups is 18.4 the function is:

18.4=6.4+0.6c

then you subtract 6.4 from both side to get:

18.4 - 6.4=6.4 + 0.6c - 6.4

12=0.6c

c= 12/.6

c=20

plzzz mark brainiest

Answer:

The number of cups in the stack is 20. I hope this helps!!

Write an expression to describe the sequence below. Use n to represent the position of a term in the sequence, where n = 1 for the first term. -9, -18, -27, -36, ...

Answers

Answer:

The expression of this sequence is -9n

Step-by-step explanation:

* Lets revise the type of the sequence

- Arithmetic sequence:

- There is a constant difference between each two consecutive

 numbers

* Ex:

# 2  ,  5  ,  8  ,  11  ,  ……………………….

# 5  ,  10  ,  15  ,  20  ,  …………………………

# 12  ,  10  ,  8  ,  6  ,  ……………………………

* General term (nth term) of an Arithmetic Progression:

- U1 = a  ,  U2  = a + d  ,  U3  = a + 2d  ,  U4 = a + 3d  ,  U5 = a + 4d

- Un = a + (n – 1)d, where a is the first term , d is the difference

 between each two consecutive terms

* Now lets look to the problem

- The sequence is : -9 , -18 , -27 , -36

∵ -18 - (-9) = -18 + 9 = -9

∵ -27 - (-18) = -27 + 18 = -9

∵ -36 - (-27) = -36 + 27 = -9

∴ The sequence is arithmetic with common difference -9

∵ a = -9 , d = -9 and n is the position of the term in the sequence

∴ The rule of the sequence is Un = -9 + (n -1)(-9)

* We can simplify it

∴ Un = -9 + n(-9) - (1)(-9) = -9 + (-9n) - (-9) = -9 - 9n + 9 = -9n

* The expression of this sequence is -9n

Final answer:

The expression describing the sequence -9, -18, -27, -36, ... is –n, where n represents the position of the term in the sequence.

Explanation:

The sequence given is -9, -18, -27, -36, ..., and we need to write an expression using n to represent the position of a term in the sequence. This is clearly an arithmetic sequence because each term is obtained by adding a constant value to the previous term. The common difference here is -9 (since -18 - (-9) = -9).

For an arithmetic sequence, the n-th term is given by the formula an = a1 + (n - 1) × d, where a1 is the first term, and d is the common difference. In this case, a1 = -9 and d = -9. Therefore, we can substitute these values into the formula to get:

an = -9 + (n - 1) × (-9)

which simplifies to:

an = -9n

How do I find the value of x?

Answers

If we know that the angle on the left is 80° we know that the angle on the right is also 80°

We can subtract these from 360° and we are left with 200°

Since all four of the remaining angles are congruent we can divide our remaining 200° by 4

When you do that you get 50, meaning each remaining angle is 50°

Making x=50°

Hope this helped!

Answer:

x = 50

Step-by-step explanation:

There are no guarantees that the question can be answered unless the lines meeting at the intersection point are staight lines. You have to assume that to be true.

The angles making up the line starting at the lower right and going up to the upper left are

80 +x + x = 180            80 and one of the two xs are vertically opposite.

80 + 2x = 180               Subtract 80 from both sides.

80-80+2x=180-80        Subtract

2x = 100                        Divide by 2

2x/2 =100/2

x = 50

You have to solve this . Calculate the diameter of a human red blood cell is 0.000006 m. Write the diameter in scientific notation

Answers

Answer:

6 x 10 to the -6 power

Step-by-step explanation:

Moved the decimal to the right 6, since less than 0 its negative

Please help me with geometry.

Answers

Parallel lines have the same slope so the equation will have the same slope. The y-coordinate is the new y-intercept, so the equation is y = 3x + 8

Hope this helps

Answer:

y = 3x + 5

Step-by-step explanation:

Line y = 3x - 8; slope = 3

Parallel lines, slope is the same so slope of the line that parallel to the line y = 3x - 8 is also 3

Passing thru (1,8)

y - 8 = 3(x - 1)

y - 8 = 3x - 3

y = 3x + 5

Answer:

y = 3x + 5

which graph shows the solution to the inequality
|x+3| ≥ 2?

Answers

Answer:

2nd number line

Step-by-step explanation:

When there is an absolute value inequality of the form  |x+a| ≥ b,

We can say that the solution set (in a number line) would be:

we take the point x = -athen we go b units in both directions (left and right)start from those 2 points and draw arrows in both directions (left & right)

Keeping these points in mind,

|x+3| ≥ 2

we start from x = -3

we go 2 units left and right, so we arrive at x = -5 and x = -1

then we draw arrows to both sides

looking at the choices, we see 2nd answer choices (graph) portrays it correctly.

Answer:

b

Step-by-step explanation:

What are the slope and the y-intercept of the line shown in the graph

Answers

The y-intercept is the y value when x = 0, or (0 , y)

Based on the graph, your y-intercept is at (0 , 2) or 2

The slope(m) can be found using the slope formula and plugging in 2 points:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

But if you look at the answer choices, if the slope is positive, the line would be going up and to the right

If the slope is negative, the line would be going down and to the right

your answer is A

Use the distributive property to complete the following statement 4(x-1)=4x-___
A. 4
B. –4
C. –1
D. 1

Answers

Answer:

A. 4

Step-by-step explanation:

4*x-4*1=4x-4

Find the area of the parallelogram. A. 14 square units. B. 48 square units.
C. 24 square units. D. 28 square units

Answers

Answer:

B

Step-by-step explanation:

The area of a parallelogram is base times height.

The height has to be perpendicular to the base, so the base (if you count) is 6 units, and the height is 8 units.

8x6=48 square units

If m
Answer choices are -

Which property is shown

Reflexive
Substitution
Symmetric
Transitive

Answers

Answer: symmetric or reflexive

Step-by-step explanation:

I'm not forsure but I believe that these are the two options bc the other two aren't forsure sorry dude I'm trying :0

please help!!! asap! ( 10 points)

Answers

Answer:

a. true: 3    false: -5

b. true: 9    false: 2

c. true: 1/3  false: 1

d. true: 2    false: 3

I hope this helps!

In your job at a restaurant, you made a 12-cup pot of coffee at 7:20 a.m. By 7:40 a.m., you had served it all and had to make another pot. At this rate, how many cups would you serve per hour?

Answers

Answer:

36 cups

Step-by-step explanation:

every 20 minutes you make 12 cups. 20×3=60, which is 1 hour. You will meed to make 3 pots of coffee that are 12 cups each, 3×12=36

The cups would you serve per hour is 36.

We have given that,

In your job at a restaurant, you made a 12-cup pot of coffee at 7:20 a.m. By 7:40 a.m.

What is the one hour?

one hour contains a 60 inutes

That is the 1 hour=60 minutes.

Every 20 minutes you make 12 cups.

20×3=60, which is 1 hour.

You will need to make 3 pots of coffee that are 12 cups each

3×12=36

Therefore, the cups would you serve per hour is 36.

To learn more about the time visit:

https://brainly.com/question/10428039

#SPJ2

Find the value of X in the circle

Answers

Answer:

x=7 units

Step-by-step explanation:

see the attached figure with letters to better understand the problem

we know that

The triangles AMN and APQ are congruent by SAS similarity postulate

The include angle

∠MAN=∠PAQ

Because

Arc MN=Arc PQ

therefore

MN=PQ

substitute the values

38=4x+10

solve for x

4x=38-10

4x=28

x=7 units

x would be 7 units because 4 × 7 = 28 And 28 + 10 = 38

Is the graph one to one? Math 3!!! Help needed !!

Answers

Answer:

Yes, there exists one output for every input

Step-by-step explanation:

* Lets revise how to test the function is one-one function

- Draw a horizontal line (parallel to x-axis) and moved it up and down

- If the horizontal line cut the graph in more than one point, then

 the function is not one-one function

- If the horizontal line cut the graph in only one point, then the

 function is one-one function

- That means one output for every input

* Now lets look to the graph

- If we draw a horizontal line and moved it up and down, the line

 will cut the graph in just one point

- That means every x has different value of y

∴ There is no same y-coordinate for two x-coordinates

* Yes, there exists one output for every input

caleb made 6 quarts of trail mix for his camping trip. Each week he consumed 4 pints of the trail mix. How many weeks did Caleb have trail mix? ​

Answers

Answer:

3 weeks

Step-by-step explanation:

1 quart = 2 pints

6 quarts = 12 pints,

so 4 pints each week would take 3 weeks (4pints x 3weeks =12pints)

What is the value of x?

Answers

x = 16.

Hope this helps!

Answer:

x = 16

Step-by-step explanation:

Since the triangles are similar then the ratio of corresponding sides are equal, that is

[tex]\frac{x}{4}[/tex] = [tex]\frac{20}{5}[/tex] ( cross- multiply )

5x = 80 ( divide both sides by 5 )

x = 16

john is asked to roll a fair numver cube, numbered 1 to 6, and tossed a balanced quarter simultaneously. What is the probability that he will roll a 2 and the quarter will come up tails? A.) 1/2 B.) 2/3 C.) 1/6 D) 1/12​

Answers

Answer: B 2/3

Step-by-step explanation:

1/6 + 1/2

State the domain of this relation

Answers

Answer:

Step-by-step explanation:

The domain of this relation includes one each of the various x-values:  {4, 5, 6, 8}; do not included 4 twice.

The domain is the x’s

Find the surface area of a square pyramid where the length of a side of the base is 10cm and the slant height of the pyramind is 16cm

Answers

Answer:

435.26

Step-by-step explanation:

I hope this is right I looked it up on Google. You search up area of a square pyramid and put your info in.

What’s this answer to this problem

Answers

Answer:

Radius is 13 and Circumferences is 81.64

Step-by-step explanation:

You divide 26 by two to get the radius and multiply 2 time pi times the radius or pi times diameter to get the circumference.

Answer:

radius=13

Circumference=26pi

Area=169pi

Step-by-step explanation:

The radius is half the diameter (SP or PR or PQ). The radius is 13

Area= pi(r)^2

r=radius

r=13

pi(13)^2=169pi

circumference=2pi(r)=(pi)d

r=radius

d=diameter

2(pi)13=26pi

what table represents the exponential function y=5×2^x​

Answers

Answer:I would say it's graph 4 if the equation you put is y=5(2)^x

Step-by-step explanation:

Solve for x.

−2 = 3/9x

Answers

Answer:

-6

Step-by-step explanation:

jsisbdkdnsjsnjsnsjwjsksnskbdjdje

Which graph can be used to find the solution(s) to 8 – 4x = 2x – 4?

Answers

Answer:

To find the solutions to the system of equations we need to graph the following equations:

y = 8 - 4x (Red line)

y = 2x - 4 (Blue line)

The point of interception, is the solution to the system of equations.

By looking at the graph attached, you can see that the point of itersection is at (2,0)

Answer:

both lines intercept at (2,0) which would be the second graph (B)

Step-by-step explanation:

Students at Sugar land middle school were asked what their favorite sport was. The table below shows the results of the survey. If you select a student at random, what is the probability that you were select a boy who chose a football as his favorite sport?

Answers

Answer:

Step-by-step explanation:

What is the x-coordinate of the point of intersection for these two lines?
9x + 2y = 16
x - 2y = 4
a.) 1
b.) -1
c.) 2
d.) -2

Answers

You need to use substitution, to do so, you isolate one of the variables x or y in one equation, and then you substitute that equation into the other.

Since you only need to find x, isolate the y in one of the equations

x - 2y = 4

y = [tex]\frac{x}{2} -2[/tex]

Plug this in and simplify

9x + 2y = 16

9x + 2([tex]\frac{x}{2} -2[/tex]) = 16  Distribute the 2

9x + x - 4 = 16  

10x = 20

x = 2    Your answer is C

i am an odd number with 3 digits. The sum of my digits is 5. my first and last digits are the same. what am i?​

Answers

Step-by-step explanation:

Because our number is odd and the first digit is the same as the last one. Then let call it be aba.

a will contain {1,3,5,7,9} but we have

[tex]2a + b = 5 \\ [/tex]

then

[tex]2a < 5[/tex]

so a will be 1 and b will be 3.

Thus, I am 131.

Answer:

131

Step-by-step explanation:

The sum of 3 digits = 5 with first and last the same and is odd, then

3 digit number is 131

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