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3 years ago

Why does it take 3 copies of 1/6 to show the same amount as 1 copy of 1/2?

1 answer:

6 0

You can solve this by putting the number of copies in the top part of the fraction. If you replace the one in the top part of 1/6 with 3, you get the fraction 3/6. Half of six is three and half of two is one, so both fractions are equal. You can test this be dividing the 3 in the top by 3 and the 6 in the bottom by three. Your result will be 1/2. Although there are three times ad many copies, each copy is three times as small, so it balances out.

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Suppose y = 2x + 1 , where x and y are functions of t. (a) if dx/dt = 3, find dy/dt when x = 4. dy dt = (b) if dy/dt = 2, find d

qwelly [4]

Answer:

Step-by-step explanation:

If y = 2x + 1, then dy/dt = 2(dx/dt).

If y = 2x + 1, then y = 2(40) + 1 when 40 is substituted for x. y = 81.

(a) if dx/dt = 3, find dy/dt when x = 4:

Replacing dx/dt with 3 in dy/dt = 2(dx/dt) yields dy/dt = 2(3) = 6.

(b) if dy/dt = 2, find dx/dt when x = 40:

Replacing dy/dt with 2 in dy/dt = 2(dx/dt) results in 2 = 2(dx/dt), so dx/dt must be 1.

3 0

2 years ago

An artist is constructing a piece of art in the shape of rectangle. The artist wants to use string to tightly tie each vertex of

Liula [17]

Answer:

65.8 ft

Step-by-step explanation:

The number of strings required to tie each vertex to the other three will be ...

(4)(3)/2 = 6

Those strings will be perimeter strings plus two diagonal strings. The lengths of the perimeter strings are given as 12 ft and 7 ft. The lengths of the diagonal strings can be found using the Pythagorean theorem.

d² = 12² +7² = 144 +49 = 193

d = √193 ≈ 13.892

Then the total length of all strings is ...

L = 2(12.0 +7.0 +13.9) = 65.8 . . . . feet

The artist will need 65.8 feet of string.

4 0

2 years ago

A company makes steel rods shaped like cylinders. Each rod has a diameter of 4 centimeters and a height of 60 centimeters. If th

gavmur [86]

Answer:

See below.

Step-by-step explanation:

1) Please check the number of volume of steel. It should be 54,259.2

${cm}^{3}$

. Not 54,259.2 cm. Right?

2) If so,

First

The volume of single rod

$= \pi \times ( { \frac{4}{2} })^{2} \times 60= \pi \times {2}^{2} \times 60= 4\pi \times 60= 4 \times 3.14 \times 60= 753.6 {cm}^{3}$

The number of rods

$= \frac{54259.2}{753.6} = 72$

5 0

3 years ago

Which point is on the graph of a direct variation equation in which k = 0.4?

nikklg [1K]

I think that it would be A

6 0

2 years ago

Identifying equivalent statements and negations of a conditional statement: help

Vitek1552 [10]

Answer:

1: Equal

2: Negation

3: Negation

4: Neither

Step-by-step explanation:

Sorry if I got any of them wrong

6 0

3 years ago