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3 years ago

8

Determine whether the fractions 5/7 and 4/8 are equivalent.

1 answer:

Marysya12 [62]3 years ago

8 0

Answer:

no

Step-by-step explanation:

4/8 is half and 5/7 is more than half.

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How many protons would make up 9.435 x 10-22 g?

dem82 [27]

Answer:

Mass of proton (m) = 1.67×10^(-27) kg

Step-by-step explanation:

Mass of proton (m) = 1.67×10^(-27) kg.

Since, 1 kg = 1000 g

Therefore, m = 1.67x10^(-27+3) g = 1.67x10^(-24) g

Let N no. of protons be present in 1 g. Hence, Nxm = 1 g

So, N = 1 / m = 1 / (1.67x10^(-24))

N = 6x10^(23) (approx.)

Exact mass of proton gives N = 6.022 x 10^(23).

That is a very special no. In fact, it is the Avogadro’s constant used frequently in chemistry. Avogadro’s no. is actually the number of atoms in exactly 12 g of C-12 isotope of carbon. Since, the atomic mass of C-12 is 12 u (unified mass), then again the no. of carbon atoms turn out to be N.

6 0

4 years ago

A gardener is fencing off a rectangular area with a fixed perimeter of 72 ft.What is the maximum area?

Anna71 [15]

Answer:

$324 ft^2$

Step-by-step explanation:

The area of a triangle is given by the product between length and width:

$A=Lw$ (1)

where

L is the length

w is the width

The perimeter of the rectangle is given by

$p=2L+2w$

In this problem, we know that the perimeter of the rectangle is fixed, and it is

$p=72 ft$

So we have:

$72=2L+2w$

Which can be rewritten as

$w=36-L$

If we substitute this into the formula of the area, (1), we get:

$A=L(36-L)=36L-L^2$

To maximize the area, we have to calculate its derivative and require it to be equal to zero:

$\frac{dA}{dL}=0$

Calculating the derivative,

$\frac{dA}{dL}=\frac{d}{dL}(36L-L^2)=36-2L$

And requiring it to be zero, we find:

$36-2L=0\\L=\frac{36}{2}=18$

Which means also

$w=36-L=36-18=18$

So,

L = 18 feet

w = 18 feet

So the maximum area is achieved when the rectangle has actually the shape of a square.

In such case, the area is:

$A=18\cdot 18=324 ft^2$

So, this is the maximum area.

8 0

3 years ago

In a class of 25 students, 18 were math majors, 12 were computer science majors, and 7 were dual majors in math and computer sci

Ber [7]

Answer:

Use n(u) formula of chapter sets

Step-by-step explanation:

Have a good day

6 0

3 years ago

When 6 is added to 3/4 of a number, the result is 4 less than the number

anastassius [24]

<em>Greetings from Brasil...</em>

According to the statement of the question, we can write the following equation:

<h2>3X/4 + 6 = X - 4</h2>

solving this equation

3X/4 + 6 = X - 4

3X/4 - X = - 4 - 6

4X - 3X = 40

<h2>X = 40</h2>

<em>refer to attached</em>

6 0

4 years ago

28:42=x:54 what is the value of x.

Arlecino [84]

<h2>Step-by-step explanation:</h2>

We need to think, 28 / 42 = x / 54.

We need to do a proportion for this problem!

First, line up both fractions, then put a equal sign between both fractions.

28 / 42 = x / 54.

We multiply in a diagonal and then we divide by the one without a diagonal.

28 and 54 are a diagonal.

We multiply both numbers!

54 x 28 = 1,512.

Then, we divide by 42.

1,512 / 42 = 36.

Therefore, x = 36.

+1 Picture :)

7 0

4 years ago