what is the value of s ?

The constant of proportionality, k is equal to 7.

The term proportionality describes any relationship that is always in the same ratio.

Given that, a graph shows a proportional relationship y = kx, is in the form of equation of a line, y = mx + c, where, m is the slope, so we can say that, the k here is the slope.

Slope = y₂-y₁ / x₂-x₁

= 35-21 / 5-3

= 14 / 2

= 7

Since, the slope of the line is 7 therefore, k = 7.

Hence the constant of proportionality, k is equal to 7.

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Answer:

32

Step-by-step explanation:

1 hour = 60 minutes

Thus, 30 minutes if half an hour.

The worker can load 4 pallets every 30 minutes.

30*2=60

4*2=8

So the worker can load 8 pallets every 60 minutes, or every hour.

8*4=32

So, a worker can load 32 pallets in 4 hours.

BONUS: The worker can load 1 pallet every 7.5 minute

Brainliest pls

Answer:

Step-by-step example

unit rate: 1/0.10= 10 cents hope that helps :)

i think it is this.

1. 2/50

2.  1/10

Answer:

Step-by-step explanation:

go to quiziz just replace the last part with rocks

(answers for quiziz)

Answer: 1,800

Step-by-step explanation: Divide 21,600 and 12 and you should get 1,800.

Answer:

Step-by-step explanation:

-4m + 5 = -15

        -5     -5  

-4m = -20

___    ___

-4         -4

m=5

Answer: 5

Step-by-step explanation: Subtract 5 from -15 to get -20. Then divide by -4 and you should get 5. :)

Answer:

A.)4x+8

C.)8x+12

Step-by-step explanation:

Same steps you did

Answer:

7x + 34 = 272

-34 -34

7x = 238

Divide by 7 on both sides

X = 34

You are solving for x.

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Base of the parallelogram :

Height of parallelogram :

Now, we know

[tex] \large\boxed{ \mathrm{Area = base \times height}}[/tex]

Therefore Option B. is the correct answer .

___________________________

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Answer:

b

Step-by-step explanation:

hope this helps

Answer:

A)  17/12

Step-by-step explanation:

4 1/4 = 17/4

17/4 ÷ 3/1  =  17/4 x 1/3  =  17/12

Answer:

A 17/12

Step-by-step explanation:

because 4 and 1/4 is equal to 17/4 and you need to divide that by 3 which can also be written as

17/4 × 1/3 = 17/12

Answer:

You would use scientific notation for an easier way to simplify a very complex equation, and use standard form whenever you are showing the answer.

Step-by-step explanation:

Answer:

I think it's C) V = 108 pi centimeters cubed

Step-by-step explanation:

am not sure but GOOD LUCK HOPE THIS HELPS

Answer:

V=36 pi cm squared

Step-by-step explanation:

Answer:

also 3/4

Step-by-step explanation:

This is an eqaulatrial triangle with a right angle.

Answer:

1) = 2hrs and 30mins

2) = 130miles

Step-by-step explanation:

1) 60mi/hr, total driven 150miles

so at 120miles thats 2 hours. 30 miles is 30 minutes

60+60+30=150miles

2) 40miles/hr you drove 2 hours at 40 miles

40+40 =80miles

50miles/hr you drove 1 hour st 50 miles

40+40+50 = 130miles

Answer: 1)  2.5 hours,  2)  130 miles

Step-by-step explanation:

To solve both of these problems, let us remember the formula:

    Distance = (speed) × (time)

1)  Plug in the numbers into the formula:

    150miles = (30miles/hour) × (time)

Divide both sides by 30miles/hour to solve for time:

    150miles/(30miles/hour) = time

Simplify:

    2.5hours = time

2)  Susan's driving is broken into two parts with different speeds and time.

Solve the distance for first drive by plugging numbers into formula:

    Distance = (40miles/hour) × (2hours)

Multiply:

    Distance of first drive = 80miles

Solve for distance of second drive:

    Distance = (50miles/hour) × (1hour)

Multiply:

    Distance of second drive = 50miles

Add distance of first drive and second drive:

    80miles + 50miles = 130miles

Answer:

The area of the rectangle is 48

Step-by-step explanation:

We know that AE is 6 and ED is 8, since it forms a triangle, use the Pythagorean theorem to find AD, which is one side of the rectangle.

The Pythagorean theorem says that a^2 + b^2 = c^2.

a is AE, b is ED, and c is AD, so 6^2 + 8^2 = c^2, 36 + 64 = c^2, 100 = c^2, 10 = c, so AD is 10

The area of the triangle is half of AE times ED, so 1/2(6)(8) = 1/2(48) = 24, the area of the triangle is 24.

Since the area of a triangle is 1/2 of the base times the height, we can figure out the height:

A = 1/2bh, 24 = 1/2(10)h, 24 = 5h, 4.8 = h, so the height of the triangle (and rectangle) is 4.8.

The height of the triangle is also the height of the rectangle:

The area of the rectangle is 4.8*10 = 48

Answer:

18>x

Step-by-step explanation:

Answer:

I don't know but I think it is 18 < x.

Step-by-step explanation:

I hope this answers your question :)

Answer:

Step-by-step explanation:

Each package holds 24 so you would use the equation n = 24p

which means the number of lightbulbs = 24 times the number of packages

so 1 package = 24

3 packages = 72

10 packages = 240

oh and part B is B

Answer:

429.9

Step-by-step explanation:

Answer:

20 mm²

Step-by-step explanation:

A = 1/2h(sum of bases)

= 1/2(8)(3+2)

= 4(5)

= 20 mm²

Answer:

The area for the trapezoid in the picture is 20

Step-by-step explanation:

A+B/H = Area

Answer:

Step-by-step explanation:

Answer:

21/32 cubic inch

Step-by-step explanation: