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gregori [183]
3 years ago
5

What is 45,231 written in expanded form? 2 x 10,000 + 1 x 1,000 + 3 x 100 + 5 x 10 + 4 2 x 10,000 + 3 x 1,000 + 1 x 100 + 4 x 10

+ 5 3 x 10,000 + 4 x 1,000 + 5 x 100 + 1 x 10 + 2 4 x 10,000 + 5 x 1,000 + 2 x 100 + 3 x 10 + 1 x 1
Mathematics
1 answer:
adoni [48]3 years ago
3 0

Answer:

45231 = 4 \times 10000 + 5\times 1000 +2 \times 100 + 3\times 10 +1 \times 1

Step-by-step explanation:

Given the number:

45,231

We have To write the given number in the expanded form.

Solution:

First of all, let us write the different digits of the number:

Unit's digit = 1

Ten's digit = 3

Hundred's digit = 2

Thousand's digit = 5

Ten thousand's digit = 4

Unit's digit has to be multiplied with 1.

Ten's digit has to be multiplied with 10.

Hundred's digit has to be multiplied with 100.

Thousand's digit has to be multiplied with 1000.

Ten Thousand's digit has to be multiplied with 10000.

And then they have to be added so that the number gets formed.

45231 = 4 \times 10000 + 5\times 1000 +2 \times 100 + 3\times 10 +1 \times 1

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What is 4(4m-3)-(m-5)=52 step by step
ch4aika [34]

Answer:

-3

Step-by-step explanation:

Simplifying

4(4m + -3) + -1(m + -5) = -52

Reorder the terms:

4(-3 + 4m) + -1(m + -5) = -52

(-3 * 4 + 4m * 4) + -1(m + -5) = -52

(-12 + 16m) + -1(m + -5) = -52

Reorder the terms:

-12 + 16m + -1(-5 + m) = -52

-12 + 16m + (-5 * -1 + m * -1) = -52

-12 + 16m + (5 + -1m) = -52

Reorder the terms:

-12 + 5 + 16m + -1m = -52

Combine like terms: -12 + 5 = -7

-7 + 16m + -1m = -52

Combine like terms: 16m + -1m = 15m

-7 + 15m = -52

Solving

-7 + 15m = -52

Solving for variable 'm'.

Move all terms containing m to the left, all other terms to the right.

Add '7' to each side of the equation.

-7 + 7 + 15m = -52 + 7

Combine like terms: -7 + 7 = 0

0 + 15m = -52 + 7

15m = -52 + 7

Combine like terms: -52 + 7 = -45

15m = -45

Divide each side by '15'.

m = -3

Simplifying

m = -3

Hope this helped :)

8 0
3 years ago
3) Find two consecutive even integers such that their sum is equal to the difference of 3 times the larger & 2 times the sma
swat32

Answer:

In assumption, x is the smaller even integer and x+2 is the next so it will be larger.

The integers are 4 and 6

Step-by-step explanation:

Let the two consecutive even integers be x and x+2

Here x is the smaller even integer and x+2 is the next so it will be larger.

Now according to the given statement

Sum of both: x+x+2

difference of 3 times the larger & 2 times the smaller:3(x+2)-2x

Putting the sum and difference equal:

x+x+2 = 3(x+2)-2x

Solving the equation

2x+2 = 3x+6-2x\\2x+2 = x+6\\2x+2-x = x+6-x\\x+2 = 6\\x+2-2 = 6-2\\x = 4

The next integer will be:

x+2 = 4+2 = 6

Hence,

In assumption, x is the smaller even integer and x+2 is the next so it will be larger.

The integers are 4 and 6.

3 0
3 years ago
Determine if the series 3/4 + 4/5 + 5/6 is convergent or divergent ​
vodka [1.7K]

Answer:

DIVERGENT

Step-by-step explanation:

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3 years ago
10
marta [7]

Answer:

0

Step-by-step explanation:

1) Multiply the first equation by -3:  -6x - 3y = 12

2) Substitute 2x + 12 for -3y in the above equation, obtaining:

-6x + 2x + 12 = 12

Then -4x = 0, and x = 0.  Letting x = 0 in the first equation, we get:

0 + y = -4, so y = -4.

The x-value at the intersection of the lines is zero (0).

That intersection is at (0, -4).

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3 years ago
WHAT IS THE EQUATION OF POINT SLOPE FORM
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The point slope form is y - y2 = m(x - x2)
Hope I helped
6 0
3 years ago
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