Ancient Egyptians did not write the fraction 4/5 as 4/5. Instead they used unit fractions. The numerator of a unit fraction is always 1.No denominator used to represent a given fraction can be repeated. For this reason, Egyptians would have written 4/5 as 1/2 + 1/5 + 1/10 and not as 1/2 + 1/10 + 1/10 + 1/10. Write each of the following as a sum of unit fractions.

Answers

Answer 1

Answer:
3/4 = 1/2 + 1/4

5/8 = 1/2 + 1/8

7/12 = 1/2 + 1/12

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Solve the following three variable system. 2x + 3y + 4z = 9
-x + 2y - z = 0
-2x + 4y + z = 3

Answers

$1)\ \ \ 2x + 3y + 4z = 9\n2)\ \ \ -x + 2y - z = 0\n3)\ \ \ -2x + 4y + z = 3\n===================================\n3)\ \ \ -2x + 4y + z = 3\ \ \ \Rightarrow\ \ \ z=2x-4y+3\n\n1)\ \ \ 2x + 3y + 4z = 9\ \ \ \Rightarrow\ \ \ 2x + 3y + 4(2x-4y+3) = 9\n2x+3y+8x-16y+12=9\n10x-13y=-3\n\n2)\ \ \ -x + 2y - z = 0\ \ \ \Rightarrow\ \ \ -x+2y-(2x-4y+3)=0\n-x+2y-2x+4y-3=0\n-3x+6y=3\ /:(-3)\nx-2y=-1\ \ \ \Rightarrow\ \ \ x=2y-1\n\n$

$1)\ \ \ 10x-13y=-3 \ \ \ \Rightarrow\ \ \ 10(2y-1)-13y=-3\n20y-10-13y=-3\n7y=7\ /:7\ \ \ \Rightarrow\ \ \ y=1\n\n2)\ \ \ x=2y-1\ \ \ \Rightarrow\ \ \ x=2\cdot2-1=1\n\n3)\ \ \ z=2x-4y+3\ \ \ \Rightarrow\ \ \ z=2\cdot1-4\cdot1+3=2-4+3=1\n\nAns.\ x=y=z=1$

Log 5 plus log 2 equals?

log5 + log2 =

Answers

The sum of logs = the log of the product .

   log(5) + log(2) = log(5·2) = log(10)

If these are all logs to the base 10, then log(10) = 1

   log(5) + log(2) = 1

Let's try it out !

According to my calculator ...

   log(5) = 0.69897...

   log(2) = 0.30103...

Log(5) + log(2) = 0.99999... yay ! not bad

The solution of the equation log5 + log2 using the properties of Logarithm is log(10) or 1.

Logarithms are used to solve exponential equations by converting them into simpler forms.

A number that represents the power to which a fixed number (the base) must be increased in order to get a specific number is called as logarithm.

The property of logarithms states that:

log(a) + log(b) = log(ab).

Applying this property, we get:

log5 + log2

= $\log(5*2)$

= log(10)

Logarithm base 10 (log) gives the power to which 10 must be raised to obtain the given value. So, log(10) represents the exponent required to obtain 10, which is 1.

Thus, the solution of log5 + log2 is equal to log(10) or 1.

Learn more about Logarithm here:

brainly.com/question/32351461

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Divide. Write the answer in simplest form.\frac{5}{6}\div4
6
5

÷4

Answers

Answer:

3/10

Step-by-step explanation:

a plane intersect a prism to form a cross section that is a polygon with five sides. what is the minimum number of sides thst the polygon at the base of the prism must have? a3 b4 c5 d6 e7

Answers

Answer:

C5 because there's going to be 5 triangles when you do it hope I helped

Step-by-step explanation:

Solve for x 3x+2=2x-7

Answers

Answer:

x = - 9

Step-by-step explanation:

Given

3x + 2 = 2x - 7 ( subtract 2x from both sides )

x + 2 = - 7 ( subtract 2 from both sides )

x = - 9

X= -9 is the answer

At the corner store, Nico bought 5 pencils for $0.10 each and 3 pens for $0.50 each. He used t to represent the sales tax, in dollars, that he also paid. He paid a total of $2.12, including tax. Nico wrote this equation to represent what he paid. What errors, if any, did he make? 5(0.10) + 3(0.50) - t = 2.12

Answers

he subtracted the tax insted of adding it .

Answer:

He should have added t instead of substracting t

Step-by-step explanation:

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