) Aubrey can walk 4 1/2 miles in 1/2 hours. Find the average speed in miles per hour.

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Answer 1

Answer: I think the answer is 5 because you add the 1/2 and the other 1/2 leave the for alone that will give you 5Example: 1/2+1/2=1+4=5

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An architect makes a model of a new house with a patio made with pavers. In the model, each paver in the patio is 1/3 in. long and 1/6 wide. The actual dimensions of pavers are shown: 1/8 ft and 1/4ft. What is the constant of proportionality that relates the length of a paver in the model and the length of an actual paver? What is the constant of proportionality that relates the area of an actual paver?

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Answer:

The constant of proportionality between the actual dimensions of the pavers and the model is 9.

The proportionality constant for the area is 81.

Step-by-step explanation:

To solve this problem, let's transform all quantities to the same units (inches)

The actual dimensions of the pavers are:

$Width = (1)/(8) ft * (12in)/(1 ft) = (3)/(2) in\n\n Length = (1)/(4) ft * (12in)/(1 ft) = 3in$

Then we divide the real dimensions between those of the model:

Width:

$((3)/(2))/((1)/(6))= 9$

Long =

$(3)/((1)/(3))= 9$

Then, the constant of proportionality between the actual dimensions of the pavers and the model is 9.

Actual length = model length * (9)

The "A" area of a paver is the product of its width multiplied by its length.

So:

(real width) * (real length) = ((9) Model width) * ((9) model length)

(real width) * (real length) = $9 ^ 2$ * (Model width) * (model length)

(real area) = 81 * (Model area)

The proportionality constant for the area is 81.

Answer:

The length of a paver in the model and the length is 1/9.

The constant of proportionality that relates the area 1/81.

Step-by-step explanation:

Area of rectangle is

$A=length* width$

Dimensions of paver in model:

$Length=(1)/(3)in$

$width=(1)/(6)in$

Area of model

$A=length* width$

$A=(1)/(3)* (1)/(6)=(1)/(18)$

The area of the model is 1/18 square inches.

We know that 1 ft = 12 inches

Actual dimensions of paver:

$Length=(1)/(4)ft=3 in$

$width=(1)/(8)ft =1.5in$

Actual area is

$A=length* width$

$A=3* 1.5=4.5$

The actual area is 4.5 square inches.

The constant of proportionality that relates the length of a paver in the model and the length of an actual paver is

$\text{Constant of proportionality of length}=\frac{\text{Length of model}}{\text{Actual length}}=(1/3)/(3)=(1)/(9)$

The length of a paver in the model and the length is 1/9.

The constant of proportionality that relates the area of an actual paver is

$\text{Constant of proportionality of area}=\frac{\text{Area of model}}{\text{Actual area}}=(1/18)/(4.5)=(1)/(81)$

The constant of proportionality that relates the area 1/81.

I need help asap pls and thank you

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Answer:

Step-by-step explanation:

Using the hint given

1st term + common difference (desired term - 1)

(12) + (3) (20-1)

You choose a marble at random from a bag containing 3 yellow marbles, 8 red marbles, and 4 blue marbles. You pick a second marble without replacing the first. Find each probability.Help me plzzzz ! :'(

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First would be Red Marbles Second would be Blue and last Yellow. (remember this is not exact)
I'm sure this is good! :D

Can you please specify what probabilities you are looking for?

How do I solve %15 of 240

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Answer:

Step-by-step explanation:

Turn %15 into a decimal, which is .15, and then 240 x .15

Answer:

thE ANSWER IS 36

Step-by-step explanation: :) hope this helps

What fractional part of a pound is an ounce

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Since there are 16 oz in a pound, it would be 1/16

Please help!!!
I will give brainlist thank you!!!

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Good evening ,

Answer:

The graph is a line

Step-by-step explanation:

Look at the photo below for the details.

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PLEASE HELP I GIVE THANKS

15 r minus 6 r = 36

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