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kherson [118]
3 years ago
8

Explain how to compute 3/4 x 4/5 using one diagram.

Mathematics
1 answer:
Drupady [299]3 years ago
5 0

Answer:

The simplified form of given expression is 3/5.

Step-by-step explanation:

The given expression is

\frac{3}{4}\times \frac{4}{5}

We need to find the product of two factions using diagram.

For 3/4, draw a box and divide it in 4 equal parts by using vertical lines. The  color three parts of it.

For 4/5, draw a box and divide it in 5 equal parts by using horizontal lines. Then color the four parts of it.

Now combined both boxes and shown below.

From the below figure it is clear that

The number of common shaded small boxes =  12

Total number of small boxes = 20

The required fraction is

Fraction=\frac{\text{Number of common shaded small boxes}}{\text{Total number of small boxes}}

Fraction=\frac{12}{20}

Cancel out common factor.

Fraction=\frac{3}{5}

Therefore, the simplified form of given expression is 3/5.

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The school's enrollment before the increase IS $460.

<h3>What are percentages? </h3>

Percentage can be described as a fraction out of an amount that is usually expressed as a number out of hundred. The sign used to represent percentages is %.

<h3>What is the school enrolment before the increase? </h3>

In order to determine the required value, divide the cost of the school enrolment after the increase by 110%(100 + 10).

$506 / 1.10 = $460

To learn more about percentages, please check: brainly.com/question/25764815

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Answer:

The range of f(x) is (−∞,∞), which is all real numbers. In fact, this range holds for any base for the log. 3. For 0">a>0 and a≠1, f(x)=ax has a range of (0,∞).

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Find the sum of the geometric sequence. three divided by two, three divided by eight, three divided by thirty two, three divided
Lynna [10]

Answer: we have that

[3/2,3/8,3/32,3/128,3/512]

the sum of the geometric sequence is [3/2+3/8+3/32+3/128+3/512]

=(1/512)*[256*3+64*3+16*3+4*3]

=(3/512)*[256+64+16+4]

=(3/512)*[340]

=(1020/512)

=255/128---------> 1.9922

the answer is

1.9922

another way to calculate it 

is through the following formula

∑=ao*[(1-r^n)/(1-r)]

where 

ao---------> is the first term

r----------> is the common ratio between terms

n----------> is the number of terms

ao=1.5

r=1/4-----> 0.25

n=5

so

∑=1.5*[(1-0.25^5)/(1-0.25)]-------------> 1.99

Step-by-step explanation: we have that

[3/2,3/8,3/32,3/128,3/512]

the sum of the geometric sequence is [3/2+3/8+3/32+3/128+3/512]

=(1/512)*[256*3+64*3+16*3+4*3]

=(3/512)*[256+64+16+4]

=(3/512)*[340]

=(1020/512)

=255/128---------> 1.9922

the answer is

1.9922

another way to calculate it 

is through the following formula

∑=ao*[(1-r^n)/(1-r)]

where 

ao---------> is the first term

r----------> is the common ratio between terms

n----------> is the number of terms

ao=1.5

r=1/4-----> 0.25

n=5

so

∑=1.5*[(1-0.25^5)/(1-0.25)]-------------> 1.99

8 0
3 years ago
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