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3 years ago

What is 9/10-2/3 in simplest form

2 answers:

8 0

A guess that popped in my head

$\: 1.\frac{9 }{10 } - \: \frac{2}{3}$
$2. \frac{27 - 20}{30}$
$3. \: \frac{7}{30}$
Alternative Form : 0.23

I hope it's not complicated

Serggg [28]3 years ago

6 0

Answer: The simplified form of above expression is $\frac{7}{30}$

Step-by-step explanation:

Since we have given that

$\frac{9}{10}-\frac{2}{3}\\$

We need to solve the above expression to get the simplified answer:

1) Take the L.C.M. of 10 and 3.

L.C.M. of 10 and 3 = 30

2) Make the denominator 30 for each of the fraction .

$\frac{9}{10}\times \frac{3}{3}=\frac{27}{30}\\\\and\\\\\frac{2}{3}\times \frac{10}{10}=\frac{20}{30}$

3) Take the difference between them:

$\frac{27}{30}-\frac{20}{30}\\\\=\frac{7}{30}$

Hence, the simplified form of above expression is $\frac{7}{30}$

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3 years ago

Find the equation of the line passing through the given points. Express the equation in standard form.

Artyom0805 [142]

We want to write the equation of the line passing through these two points in standard form.

First, we are going to do this in slope intercept form and then change the form to standard form, which is Ax + By = C

We will use the equation y = mx + b, and since we are given two points on the line we are going to determine the slope of the line by determining the change in the y coordinates

m = y sub2 - y sub1 divided by the change in the X coordinates x sub2 – x sub1

We will start by determining the slope

(1, -6) the 1 is x sub 1 and the 6 is y sub 1

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2 - (-6) = 8

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so equation now is m = -1

So now again referring back to the slope intercept of the line we now know y = -1 + b. We still have to determine b and the y intercept, and we can do this by using one of the given points and substituting in the value for y and x, and then solve for b. Since these points are on the line, they must satisfy this equation. If we use the first coordinates, we would substitute 1 for x and -6 for y.

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b = -5

construct the line equation y = mx + b where m = -1 & b = -5

In slope intercept form the equation would be y = -x - 5

Now we want to write this in standard form now. We have to deal with two things. The x and y terms have to be on the left side and A and B and C have to be integers.

The standard form of a linear equation is Ax + By=CA x + By = C . Move all terms containing variables to the left side of the equation.

Add x to both sides of the equation.

y + x = -5

Reorder y & x

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3 years ago

Any help please? For extra credit

Law Incorporation [45]

Answer:

see explanation

Step-by-step explanation:

(a)

A recursive formula allows any term in the sequence to be found by adding the common difference d to the previous term.

Here d = - 4 , then recursive formula is

$a_{n}$ = $a_{n-1}$ - 4 with a₁ = 2

(b)

The explicit formula for an arithmetic sequence is

$a_{n}$ = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 2 and d = - 4, thus

$a_{n}$ = 2 - 4(n - 1) = 2 - 4n + 4 = 6 - 4n ← explicit formula

(c)

Using the recursive formula

a₁ = 2

a₂ = 2 - 4 = - 2

a₃ = - 2 - 4 = - 6

Using the explicit formula

a₅ = 6 - 4(5) = 6 - 20 = - 14

a₁₀ = 6 - 4(10) = 6 - 40 = - 34

a₁₀₀ = 6 - 4(100) = 6 - 400 = - 394

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