Jean and Jericho who are playing in the school grounds decided to sit on a
seesaw. Jean, who is heavier, tends to raise Jericho on the other end of the seesaw.
They tried to position themselves in order to balance the weight of each other.

Questions: Underline the correct answer.

1. This situation illustrates (direct, inverse) variation.
2. The two quantities that must vary in this situation are (weight and
distance from the center, height and weight).
3. The heavier the kid, the (closer, farther) he/she should be at the
center to balance the seesaw?
4. When Jean moves farther from the center, Jericho tends to go (up,
down).
5. If Jericho moves closer to the center, Jean tends to go (up, down).

Answers

Answer 1

We want to see underline the correct part in each statement.

1) This situation illustrates (direct, inverse) variation.2) The two quantities that must vary in this situation are (weight and distance from the center, height and weight).3) The heavier the kid, the (closer, farther) he/she should be at the center to balance the seesaw?4) When Jean moves farther from the center, Jericho tends to go (up, down).5) If Jericho moves closer to the center, Jean tends to go (up, down).

So, Jean and Jericho are playing on a seesaw.

Jean is heavier than Jericho.

Now, notice that a seesaw is a lever. So it "amplificates" the force that you apply in one end to lift the weight that is on the other end. Depending on the form of the lever and the weights, the force that you need to do changes.

If we define:

W₁ = Jean's weight.d₁ = Jean's distance to the center.W₂ = Jericho's weight.d₂ = Jericho's distance to the center.

We must have:

W₁*d₁ = W₂*d₂

Then:

1) This situation illustrates (direct, inverse) variation.

d₁, the position of Jean, varies inversely with respect to Jean's weight.

2) The two quantities that must vary in this situation are (weight and

distance from the center, height and weight).

(by the equation above)

3) The heavier the kid, the (closer, farther) he/she should be at the

center to balance the seesaw?

By the given equation, we see that d₁ must be smaller than d₂.

And the last two are trivial:

4) When Jean moves farther from the center, Jericho tends to go (up,

down).

5) If Jericho moves closer to the center, Jean tends to go (up, down).

If you want to learn more, you can read:

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Related Questions

Trevor has a collection of 600 dinosaur trading cards. If he has 60 pages in an album, how many cards can Trevor put on each page?

1

4

10

4

Answers

Answer:

10

Step-by-step explanation:

600 divided by 60 is 10

please help!!! show an explanation too :-)

Answers

Answer:

x = 32

Step-by-step explanation:

3x -4 + 3x -8 = 6x -12

6x-12 = 180

in an equation, you do the same to both expressions

6x -12 +12 = 6x. 180+12 = 192

6x / 6 = x. 192 / 6 = 32

x = 32

Mrs. Johnson weighs her suitcases ready for her holidays. It weighs 7.3kg. She takes out shoes that weigh 2.6kg. how heavy is her suitcase now​

Answers

Answer:

4.7kg

Step-by-step explanation:

since when ready it is 7.3

subtract

7.3_2.6

Therefore the answer is4.7kg

What is the slope-intercept form 10x-7y=-8

Answers

Answer:

Step-by-step explanation:

Slope intercept form: y = mx +b

10x - 7y = -8

      -7y = - 10x - 8

Divide the equation by (-7)

[tex]\dfrac{-7y}{-7}=\dfrac{-10x}{-7} +\dfrac{-8}{-7}\\\\\\y =\dfrac{10}{7}x+\dfrac{8}{7}[/tex]

8/10……………………………………………………

Answers

Answer:

|3x+4| +6

Step-by-step explanation:

f(x) = |3x+4| +2

g(x) =4

f(x) + g(x) =  |3x+4| +2 +4

               =  |3x+4| +6

If a number y has z positive integers factors, then y and 2z integer factors. True or false?​

Answers

Answer: TRUE

ANSWER IS IN THE PICTURE MARK ME BRAINLIEST!!

Answer:

true

Step-by-step explanation:

both of them are probably integers.

(fyi this is a question found in grade 8 mathematics text book in ethiopia page 64)

A-project-of-construction-of-a-building-can-be-completed-by-150-workers-in-40-days-But-project-manager-brought-30-more-workers-after-16-days-In-how-many-days-will-the-remaining-work-be-finished

Answers

Answer:

In the second scenario after 16 days, 150 workers would have completed 150*16=2400 worker days. That leaves 6000-2400=3600 worker days remaining. If you add 30 workers, it would take 3600/180=20 days longer to complete. So, the entire project would take 16+20=36 days to complete.

Which of the following ordered pairs represent points that lie on a horizontal line?A.(−2, 3), (−5, 3)B.(2, 3), (−2, 4)C.(−2, 3), (−2, 4)D.(2, −3), (5, 3)

Answers

Answer:

(−2, 3), (−5, 3) lie on a horizontal line.  The y value is 3 for both values of x.  The line runs parallel to the x axis and 2 steps above.

Step-by-step explanation:

Evaluate.

(2a - 3) ÷ (b / 4) when a = 12 and b = - 20

Answers

Answer:

-4.2

Step-by-step explanation:

First me put a and b in

2x12

24

(24 - 3) = 21

b: -20

-20 divided by 4 = -5

21 divided by -5

Answer= -4.2

Which of the following fractions has a repeating decimal expansion (other than repeating zero)
A 17/20
B 17/25
C 17/3
D 17/22​

Answers

Answer:

C

Step-by-step explanation:

→ Immediately remove option A and B from the list as they convert to non recurring decimals

Option C or D are both recurring

help meeeee points on the line help

Answers

Answer:

4(7+6)

Step-by-step explanation:

first find GCF

prime factorize

28= 2*2*7 24=2*2*2*3

only common factor is 2

there are at least 2 2s in each

apply

4(7+6)

Wednesday
A small package of 12 pencils costs $2.04. A large package of 60 pencils costs $9.60. Which is a
better deal? How do you know?
You can use a calculator but you must show your work and explain your thinking.

Answers

Answer:

60 pencil

Step-by-step explanation:

60 divided by 12 is 5

5 times $2.04= 10.2

so if you buy the 12 pack you would be spending more money!

Lyla grew 16 flowers with 2 seed packets.
How many seed packets does Lyla need to have
a total of 40 flowers in her garden?
Assume the relationship is directly proportional.
seed packets
Help now.no spam.no links PLEASE HELP NOW.

Answers

Answer:

Lyla needs 5 seed packets to have a total of 40 flowers.

Hope this helps!

Step-by-step explanation:

16 / 2 = 8  

Lyla can grow 8 flowers using 1 seed packet.

(5) 8 <- (5) 1

40 <- 5

Lyla can grow 40 flowers using 5 seed packets.

What numbers could be at each letter?
A=

B=

C=

D=

E=

Answers

Answer:

A= 1

B= 2

C = 3

D = 4

E = 5

And so on going on for the 26 letters. But no clue since you said "could"

please help!!
Rebecca is playing her favorite video game starlight the space Explorer on the 1st level she earned 3 energy points and 8 stars on the 2nd level she earned 2 energy points and 5 stars did Rebecca earn the same ratio of energy points to stars of both levels

yes or no?​

Answers

No
3 points : stars 8

2 points : stars 5

Turn into decimals and it’s
0.375 = 0.4
Which does not equal the same

Answer:

Hey there! The answer's 'no' :)

Step-by-step explanation:

"On the first level, she earned 3 energy points and 8 stars."

The ratio of energy points to stars is 3:8 - we can't simplify this any more, so leave it at that.

"On the second level, she earned 2 energy points and 5 stars."

The ratio here is 2:5. We also can't simplify this.

By this, we can conclude that no, 3:8 and 2:5 aren't the same ratio!

Which of the following is NOT a solution to this system of inequalities?

with examples

Nonsense = report

Answers

Answer: Choice D.  (0,-2)

Note how this point is in the blue region, but it is not in the red region. The solution must satisfy all of the shaded regions of the system of inequalities. The red and blue regions overlap to form the darker shaded region on the right side (the somewhat grayish purple triangular region). Points in this darkest shaded region are solutions to the system. The points (5,2), (0,3) and (4,0) are all located in this region so they are solutions.

If one ream of bond paper costs (3x -4) pesos. How many reams can you buy for ( 6x4 -17x3 +24x2- 34x + 24) pesos?

Answers

Answer:

1 ream = (3x - 4) pesos

Price of n reams = (6x^4-17x^3+24x^2 34x+24) pesos

Solution:(pic1)

number of reams 3x-4

By using synthetic division,

3x-4=0

3x=4

x=4/3

6 -17 24 -34 24 | 4/3

8-12 16-24

6 -9 12-18 0

Final equation is:(pic2)

Several world-class swimmers have attempted. to swim the English Channel between France and Great Britain (570 km long). Since even the best swimmers can swim only about eight kilometers per hour, about how many hours would expect it to take an expert swimmers to swim the channel?

Answers

Answer:

4hours

um...

57×10-== 4 hours

estimate how full each container is.

Answers

5/8 might be a great estimate.

Answer:

5/8

Step-by-step explanation:

the answer is 5/8 hope you get answer right.

I WILL GIVE 30 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT

Answers

Answer:

115°

Step-by-step explanation:

From E to B is 180°.

So when looking at angle ACB we get 65°

The angle ACE is equal to 180° - °65 = 115°

To show this is correct we have to add ACE and ACB and that should equal 180° which is true.

Answer:

115°

Step-by-step explanation:

normally straight lines are 180°

so angle ACF is already 90°

to find E, we need to subtract the 90°and the 65°

here it is: 180-(90+ 65)

= 25°

so finally ACE = 90° + 25°

= 115°

;)

Solve the system by substitution
y=-8x -24
y=-4x

Answers

Answer: 8

Step-by-step explanation:

plug y into the first equation:

8x+5y=24

8x+5(-4x)=24

8x-20x=24

-12x=24

x=-24/12

x=-2

then plug x to the second equation

y=-4

y=-4(-2)

y=8

x=-2

y=8

Answer:

(- 6, 24 )

Step-by-step explanation:

y = - 8x - 24 → (1)

y = - 4x → (2)

Substitute y = - 4x into (1)

- 4x = - 8x - 24 ( add 8x to both sides )

4x = - 24 ( divide both sides by 4 )

x = - 6

Substitute x = - 6 into either of the 2 equations and evaluate for y

Substituting into (2)

y = - 4(- 6) = 24

solution is (- 6, 24 )

if f(x) =3x-2 find f-1(x)

Answers

Answer:

1

Step-by-step explanation:

f(-1)= -3(-1) -2

f-1)=1

The coordinates of which point are (–3, –6)?point Apoint Bpoint Cpoint D

Answers

The coordinates of which point are (–3, –6) is point B

What are coordinates?

Coordinates are the position of a point in the coordinate plane.

From the graph, we have the following highlights

Point B is at x = -3, and y = -6

The above means that:

(x,y) = (-3,-6)

Hence, the coordinate of (-3,-6) is point B

Read more about coordinates at:

https://brainly.com/question/17206319

Answer:

its point b edge 2022

Step-by-step explanation:

Natalina packs 25 boxes in a 2 hour shift. How many boxes can be packed in a 7.5 hour shift?

Answers

Answer:

93.75 boxes

25/2 = 12.5 per hour

12.5*7.5 = 93.75

The length of the base of an isosceles triangle is x. The length of a leg is 2x-6. The perimeter of the triangle is 38. Find X

Answers

Answer:

x = 10

Step-by-step explanation:

Perimeter of a triangle = the sum of the three sides.    

In an isosceles the legs are equal (2x - 6) and the base is x

Perimeter = (x) + (2x - 6) + (2x - 6)

          38  = 5x - 12

        38 + 12 = 5x

            50 =   5x

              [tex]\frac{50}{5} = \frac{5x}{5}[/tex]

               10 = x

   

What is the equation of the line that is perpendicular to
the given line and passes through the point (2, 6)?
110
(216)
-6+
O x = 2
O x = 6
-2-
to 6t 22
6 8 10
х
O y = 2
O y = 6
(-8-4
(84)
-6
-8
10

Answers

Answer: what are the choices?

Step-by-step explanation:

how to evaluate (-1/2)×(-4)​

Answers

The answer is 2

first, we know that the answer will end up to be positive because the two negatives multiply together and cancel each other out to be a positive. Next, we know that 4 divided by 2 is 2, so the answer is 2.

Answer:

Answer:

X=10

Step-by-step explanation:

-1 + x2 = 4

Add 1 to each side

-1 +1+x/2 = 4+1

X/2 = 5

Multiply each side by 2

X/2 *2 = 5*2

x= 10

uhmmm helppppppp pls lol​

Answers

Answer:

h=81

Step-by-step explanation:

Dont know how to explain but this is the answer

Solve the equation
x2 + 4x - 7 = 0
by completing the square.
Give your answers correct to 2 decimal places.

Will make brainliest

Answers

See the steps below:

x² + 4x - 7 = 0x² + 4x + 4 - 4 - 7 = 0(x + 2)² - 11 = 0(x + 2)² = 11x + 2 = ± √11x = - 2 ± √11x = -2 ± 3.32x = 1.32, x = - 5.32

Who walks at a faster rate: someone who walks 60 feet in 10 sec or someone who takes 5 sec to walk 25 feet?

Answers

Answer:

60 ft in 10 seconds.

Step-by-step explanation:

Theoretically, if the 5 second dude were to walk ten seconds, they'd only walk 50. (25 x 2 = 50, therefore 60 feet in 10 seconds is faster)

Answer:

I think it's the guy who walks 60 feet in 10 seconds

Step-by-step explanation:

Since the other guy walks 25 feet in 5 seconds, we can simply double the seconds to get 10 seconds and 50 feet.

So the first guy walks 60ft/sec and the second one walks 50 ft/sec

i may be wrong but this is my best explanation. I hope it hlps

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