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3 years ago

A square plot of land has side lengths of 40 meters. An archeologist divides the land into 64 equal parts What is the area of

Mathematics

2 answers:

Alex73 [517]3 years ago

7 0

Find the area of the plot of land:

40 x 40 = 1600 square meters.

Now divide total area by parts:

1600 / 64 = 25 square meters.

Answer: 25 square meters

yan [13]3 years ago

3 0

Step-by-step explanation:

Area of each part = Area of plot/Total parts

Area = 40 × 40/64

Area = 10 × 40/16

Area = 10 × 10/4

Area = 100/4

Area = 25 m²

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4 ounces for every 16 ounces. Rate or ratio and in simplest form

Bess [88]

4 for 16 would be written as 4/16.

Dividing both numbers by 4 it is simplified to 1/4

8 0

3 years ago

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write the logarithm as a sum or difference of logarithms. simplify each term as much as possible. log4(6ab)

Dominik [7]

The logarithm written as a sum of logarithm and simplified as much as possible is $\frac{1}{2} +log_{4 }3 + log_{4 }a + log_{4 }b$

<h3>Simplifying Logarithms</h3>

From the question, we are to write the given logarithm expression as a sum or difference of logarithms

The given logarithm is

$log_{4 }6ab$

This can be written as

$log_{4 }6 \times a \times b$

From one of the rules of logarithm, we have that

$log_{x }yz= log_{x }y + log_{x }z$

Thus,

$log_{4 }6 \times a \times b$ becomes

$log_{4 }6 + log_{4 }a + log_{4 }b$

This can be further simplified into

$log_{4 }3 \times 2 + log_{4 }a + log_{4 }b$

$log_{4 }3 + log_{4 }2 + log_{4 }a + log_{4 }b$

If desired, this can be further simplified into

$log_{4 }3 + log_{2^{2} }2 + log_{4 }a + log_{4 }b$

$log_{4 }3 + \frac{1}{2} log_{2}2 + log_{4 }a + log_{4 }b$

$log_{4 }3 + \frac{1}{2} (1)+ log_{4 }a + log_{4 }b$

$\frac{1}{2} +log_{4 }3 + log_{4 }a + log_{4 }b$

Hence, the logarithm written as a sum of logarithm and simplified as much as possible is $\frac{1}{2} +log_{4 }3 + log_{4 }a + log_{4 }b$

Learn more on Simplifying logarithms here: brainly.com/question/17851187

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8 0

2 years ago

-0.312 as a fraction in simplest form

Black_prince [1.1K]

Answer:

It's -39/125

Step-by-step explanation:

Rewrite the decimal number as a fraction with 1 in the denominator

Multiply to remove 3 decimal places. Here, you multiply top and bottom by 103 = 1000

Find the Greatest Common Factor (GCF) of 312 and 1000, if it exists, and reduce the fraction by dividing both numerator and denominator by GCF = 8

Therefore

X=39/125

In conclusion,

−0.312=−39/125

4 0

3 years ago

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4) A random sample of students at Westcott Elementary were asked how many siblings they had. The following data was collected: 0

netineya [11]

A) 0
B) 6
C) middle number, or middle 2, averaged, so 3
D) 1
E) 4
F) 6-0 = 6

6 0

3 years ago

DedPeter [7]

Answer:

The solution is (3/8, -7/8).

Step-by-step explanation:

y = −5x + 1

y = 3x − 2

Since the 2 expressions in x are both equal to y :

−5x + 1 = 3x - 2

-5x - 3x = -2 - 1

-8x = -3

x = 3/8.

So y = 3x - 2

= 3(3/8) - 2

= 9/8 - 2 = -7/8.

6 0

3 years ago