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2 years ago

Which of the following quantities are directly proportional:

Mathematics

1 answer:

Zepler [3.9K]2 years ago

4 0

Answer:

Area ∝ Length.

Step-by-step explanation:

If the length of a rectangle is L and width is W, then the area of the rectangle is given by A = LW.

Now, it is given that the width of a rectangle is constant and it is 6 cm.

Therefore, the relation between the length of the rectangle in cm with the area of the rectangle in cm² will be A = 6L.

So, it is clear from the above relation that Area (A) is proportional with its length (L) and the constant of proportionality is 6. (Answer)

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P(7, 10) and Q(9, 6) are the endpoints of a line segment. What is the midpoint M of that line segment?

Svet_ta [14]

Answer:

(8,8)

Step-by-step explanation:

7 0

3 years ago

A box of donuts containing 6 maple bars, 3 chocolate donuts, and 3 custard filled donuts is sitting on a counter in a work offic

Svetlanka [38]

Probabilities are used to determine the chances of selecting a kind of donut from the box.

The probability that Warren eats a chocolate donut, and then a custard filled donut is 0.068

The given parameters are:

$\mathbf{Bars = 6}$

$\mathbf{Chocolate = 3}$

$\mathbf{Custard= 3}$

The total number of donuts in the box is:

$\mathbf{Total= 6 + 3 + 3}$

$\mathbf{Total= 12}$

The probability of eating a chocolate donut, and then a custard filled donut is calculated using:

$\mathbf{Pr = \frac{Chocolate}{Total}\times \frac{Custard}{Total-1}}$

So, we have:

$\mathbf{Pr = \frac{3}{12}\times \frac{3}{12-1}}$

Simplify

$\mathbf{Pr = \frac{3}{12}\times \frac{3}{11}}$

Multiply

$\mathbf{Pr = \frac{9}{132}}$

Divide

$\mathbf{Pr = 0.068}$

Hence, the probability that Warren eats a chocolate donut, and then a custard filled donut is approximately 0.068

Read more about probabilities at:

brainly.com/question/9000575

7 0

2 years ago

An amount of $35,000 is borrowed for 6 years at 4.5% interest, compounded annually. if the loan is paid in full at the end of th

Vlada [557]

Answer: $45579.10
35000(1+.045)^6
Hope this helps!!!!!!!!!!!!!!

3 0

3 years ago

HELP 99 PTS=50 PTS Theresa has two brothers, Paul and Steve, who are both the same height. Paul says he is inches shorter than t

iren [92.7K]

Answer:

Theresa is 58.82 in tall

Step-by-step explanation:

Let

x----------> Paul and Steve heights

y----------> Theresa height

we know that

1 1/2-------> 3/2---> 1.5

1 1/3-------> 4/3----> 1.33

Paul says he is 16 inches shorter than 1 1/2 times Theresa's height

x=1.5y-16-------> equation 1

Steve says he's 6 inches shorter than 1 1/3 times Theresa's height

x=1.33y-6------> equation 2

equals 1 and 2

1.5y-16=1.33y-6

1.5y-1.33y=-6+16

0.17y=10----------> y=58.82 in

x=1.5y-16------> 1.5*(58.82)-16------> x=72.24 in

the answer is

Theresa is 58.82 in tall

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2 years ago

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What is the equation of the graphed line in standard form?

Alona [7]

A. 12x+y=6<span>B. −2x+y=6</span>

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2 years ago

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