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3 years ago

Can someone describe constant of proportionality pls

Mathematics

1 answer:

Luden [163]3 years ago

6 0

Answer:

The constant of proportionality is the ratio between two directly proportional quantities. Two quantities are directly proportional when they increase and decrease at the same rate. The constant of proportionality k is given by k=y/x where y and x are two quantities that are directly proportional to each other.

Step-by-step explanation:

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What is the reason for each step in the solution of the equation?

Brums [2.3K]

The correct reason for each step in the solution of the equation would be as follows:

12 − 5x + 6x = 4 - Given

12 + x = 4 - Combine Like Terms

x= −8 - Subtraction Property of Equality

Hope this answers the question. Have a nice day.

8 0

3 years ago

Name the quadrilaterals that have four equal angles.

Alex73 [517]

B. square, rectangle

7 0

2 years ago

Read 2 more answers

Bobby knows that the perimeter of the original rectangle is 120 meters. He also knows that the perimeter of the reduced rectangl

Whitepunk [10]

Answer:

24 meters is the width of the original rectangle.

Step-by-step explanation:

Given:

Bobby knows that the perimeter of the original rectangle is 120 meters. He also knows that the perimeter of the reduced rectangle is 30 meters and the reduced rectangle has a length of 9 meters.

Now, to get the width of original rectangle.

The reduced rectangle's perimeter = 30 meters.

The reduced rectangle's length = 9 meters.

Now, we find the width of reduced rectangle by using formula:

Let the width of reduced rectangle be $x.$

$Perimeter=2\times length+2\times width$

$30=2\times 9+2\times x$

$30=18+2x$

Subtracting both sides by 18 we get:

$12=2x$

Dividing both sides by 2 we get:

$6=x\\\\x=6\ meters.$

The width of reduced rectangle = 6 meters.

Now, to get the width of original rectangle:

Let the width of original rectangle be $w.$

As given, the perimeter of the original rectangle = 120 meters.

And, the perimeter of reduced rectangle is 30 meters and its width is 6 meters.

So, 30 is equivalent to 6.

Thus, 120 is equivalent to $w.$

Now, to get the width using cross multiplication method:

$\frac{30}{6}=\frac{120}{w}$

By cross multiplying we get:

$30w=720$

Dividing both sides by 30 we get:

$w=24\ meters.$

The width of original rectangle = 24 meters.

Therefore, 24 meters is the width of the original rectangle.

6 0

2 years ago

Read 2 more answers

how many bricks can my truck carry in a full load if each brick weighs 4 pounds 14 ounces and my truck can carry a 3/4 ton load

aleksklad [387]

Answer:

The number of bricks a truck can carry in full load is 308 .

Step-by-step explanation:

Given as :

The weight of each brick = 4 pounds and 14 ounce

The total load a truck can carry = $\dfrac{3}{4}$ tons

Let The number of bricks truck can carry = n bricks

Now, According to question

∵ 1 ounce = 0.0625 pounds

∴ 14 ounce = 0.0625 × 14 = 0.875 pounds

So, Total weight of each brick = 4 pounds + 0.875 pounds = 4.875 pounds

Again

∵ 1 pound = 0.0005 tons

∴ 4.875 pounds = 0.0005 × 4.875 = 0.0024375 tons

Now, Again

The total load a truck can carry = $\dfrac{3}{4}$ tons = 0.75 tons

And The weight of each brick = 0.0024375 tons

So, The number of bricks = $\dfrac{\textrm total load a truck can carry}{\textrm Total weight of each brick}$

I.e n = $\dfrac{0.75}{0.0024375}$

∴ n = 307.69 ≈ 308

So, The number of bricks can truck carry = n = 308

Hence, The number of bricks a truck can carry in full load is 308 . Answer

7 0

3 years ago

A steel pipe 50 cm long has an outside diameter of 2 cm and an inside diameter of 1.8 cm. If the density of the steel is 7.8 gra

never [62]

Answer:

the volume is 50x1.8x2

v=180cm³

therefore, density is mass/volume

Step-by-step explanation:

mass =density x volume

mass= 7.8 x 180cm³

mass= 1,404grams

4 0

3 years ago