Constant of proportionality definition math is fun

1 answer:

6 0

In mathematics, two variables are proportional if there is always a constant ratio between them. The constant is called the coefficient of proportionality or proportionality constant. If one variable is always the product of the other variable and a constant, the two are said to be directly proportional

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Justin is on a road trip. Over the past two days, he’s driven a total distance of 504 miles at an average speed of 56 miles/hour

irakobra [83]

Recall d = rt, distance = rate * time.

now, he has a speed rate of 56 mph for a distance of 504

$\bf d=rt\implies 504=56t\implies \cfrac{504}{56}=t\implies \stackrel{hours}{9}=t$

so, at that speed the whole driving time is 9 hours then. Ok, he drove 2 hours today, that means he drove 7 yesterday, 9 - 2.

how many miles is it for 7 hours at 56mph? d = rt ---> d = 56 * 7

that many miles he drove yesterday.

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3 years ago

What is the volume, in cubic cm, of a rectangular prism with a height of 10cm, a width of 20cm, and a length of 11cm??

Alex787 [66]

here's the solution,

=》volume = l × b × h

where,

l = lenght
b = width
h = height

so,

=》

$v = 11 \times 20 \times 10$

=》

$2200$

so, volume = 2200 cm³

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3 years ago

the equation 12 x + 5y=20 represents the total revenue during a one-day fundraiser in the equation x represents the number of Yo

alexandr1967 [171]

If you are solving for the question in the picture your answer would be 18. Whiich is letter A.

12x+15y=390 Original Equation
12(10)+15y=390 Replace x with 10
120 + 15y= 390 Mutiply 12 by 10
-120 = -120 subtract 120 on both sides to simplfy the equation
15y= 270 New equation
÷15 = ÷15 To get the variable alone divide 15 on both sides
y=18 Your value for y.

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4 years ago

Read 2 more answers

5 scientific calculators are being sold for $135 at a school supply store, Mary needs to

mote1985 [20]

$945 because 135 divided by 5 is 27 and 27 times 135 equals 945

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3 years ago

Simplify the expression 8b - 8 - 7 - 10 + -4b + -10

Alekssandra [29.7K]

Answer:

4b - 35

Step-by-step explanation:

8b - 8 - 7 -10-4b _ 10

8b - 35 - 4b combie like trems

7 0

3 years ago