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PolarNik [594]
3 years ago
5

Four people equally share 3/4 of a whole pizza. What fractional part of the whole pizza does each person receive?

Mathematics
1 answer:
Ugo [173]3 years ago
6 0

Answer:

3/16

Step-by-step explanation:

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2. The electrical resistance R of a wire varies inversely with the square of its diameter d. If a wire with a
Mariulka [41]

Answer:

0.225 \Omega =225 m\Omega

Step-by-step explanation:

We know (Ohm second law) that R= \frac{k}{d^2} where k inlcudes the rest of the parameters (material, lenght). In our situation we have k= 0.4\cdot9 \Omega mm^2. The moment the diameter becomes 8mm R becomes

R= {{0.4\cdot 9}\over{16}} \Omega = 0.225 \Omega

4 0
2 years ago
For number 9 and 10 what do I put for the distance between the points?
olga55 [171]

Answer:

I have wrote just answers

4 0
2 years ago
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Diano4ka-milaya [45]
X+y=7 and 16x+25y=148
8 0
3 years ago
Perform the following operations and prove closure. Show your work.<br><br> (x/x+3) + (x+2/x+5)
Westkost [7]

Answer:

\frac{2(x^{2} + 5x + 3)}{(x+3)(x+5)}

Step-by-step explanation:

We need to sum the following two expressions:

\frac{x}{x+3} + \frac{x+2}{x+5}

\frac{x(x+5) + (x+2)(x+3)}{(x+3)(x+5)}

expanding the polynomial in the numerator:

\frac{2x^{2} + 10x + 6}{(x+3)(x+5)}

\frac{2(x^{2} + 5x + 3)}{(x+3)(x+5)}

This is the most simplified form we can get:

\frac{2(x^{2} + 5x + 3)}{(x+3)(x+5)}

8 0
3 years ago
Read 2 more answers
The ratio of boys to girls in a group is 5:3. If there are 18 more boys than girls, work out how
zmey [24]
<h3>Answer:  72 people total</h3>

45 boys, 27 girls

============================================================

Explanation:

g = number of girls

g+18 = number of boys, since there are 18 more boys than girls

For example, if g = 7, then g+18 = 7+18 = 25. In this example, we have 7 girls and 25 boys. The problem with this example is the ratio of boys to girls is 25:7 which is not equal to 5:3

We could use trial and error until we land on the solution, or we can use algebra as shown in the next section.

-------------------

The ratio of boys to girls is 5:3, meaning

(number of boys)/(number of girls) = 5/3

which turns into

(g+18)/g = 5/3

after we make the proper substitutions

Let's solve for g

(g+18)/g = 5/3

3(g+18) = 5g

3g+54 = 5g

54 = 5g-3g

54 = 2g

2g = 54

g = 54/2

g = 27

There are 27 girls.

This leads to,

g+18 = 27+18 = 45

So there are 45 boys

In total, we have 27+45 = 72 people

-----------------------------

Checking the answer:

The claim is that 45/27 is the same as 5/3

For now assume that claim is true. Set the fractions equal to each other and use cross multiplication like so

45/27 = 5/3

45*3 = 27*5

135 = 135

The third equation has the same thing on both sides, so it's a true equation. This must mean the first equation is true as well. Therefore, 45:27 and 5:3 are the same ratio and the answer is confirmed.

You could also use your calculator to note that

45/27 = 1.667

5/3 = 1.667

both decimal values are approximate.

8 0
2 years ago
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