A number is 42,300 when multiplied by 10 . Find the product of this number and 500.

Answers

Answer 1

Answer: The answer is 2,115,000.

First, you want to find the number itself. Think of the number as "x." So, "x" times 10 = 42,300. To figure this out, you want "x" by itself on one side of the equal sign. To do so, you divide 42,300 by 10: 4,230. Next, to find the product of 4,230 and 500, you multiply them together: 4,230 times 500 = 2,115,000.

Answer 2

Answer:

2,115,000

Further explanation

We will solve the problem of multiplication operations.

Given:

A number is 42,300 when multiplied by 10.

Question:

Find the product of this number and 500.

The Process:

Let the number as N.

N multiplied by 10 equals 42,300.

$\boxed{ \ N+N+N+N+N+N+N+N+N+N = 42,300 \ }$

$\boxed{ \ 10 * N = 42,300 \ }$

Because 42,300 contains two zeros while 10 has one zero, thus N has one zero.
$\boxed{ \ 423 * 1 = 423 \ }$

Based on the two reasons above, we can conclude that the value of N is 4.230. So, the number in question is $\boxed{ \ 4,230 \ }$ .

Another way to get N is to divide 42,300 by 10.

$\boxed{ \ N = 42,300 / 10 \rightarrow \boxed{ \ N = 4,230 \ } \ }$

Now we proceed to find the product of this number and 500.

$\boxed{ \ 4,230 * 500 = ? \ }$

$\boxed{ \ 423 * 5 * 1,000 = ? \ }$

$\boxed{ \ 2,115 * 1,000 = 2,115,000 \ }$

Thus, the product of this number and 500 is $\boxed{\boxed{ \ 2,115,000 \ }}$ .

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Keywords: a number is 42,300, when multiplied by 10, 4,230, find the product, this number, and 500 multiplication operation, zero, divide

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Are 2m-0.2(2m) and 8(m/5) equivalent and explain

Answers

first you should simplify:
2m - 2/10 * 2*m = 2m - 2/5m = 10/5m - 2/5m = 8/5m
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What is the difference between.....

Answers

Taking first summation ∑(1+3n) first

First see few terms of this series. To get first term plug n =0 in 1+3n

So for n =0, $a_(1) = 1 + 3(0) = 1+0 =1$

similarly for next term plug n =1

For n = 1, $a_(2) = 1 + 3(1) = 1+3 = 4$

For n =2, $a_(3) = 1 + 3(2) = 1+6 = 7$

So on ,........and last term will be for n =4

For n =4, $a_(5) = 1 + 3(4) = 1 + 12 = 13$

So we get terms as 1,4,7,.. with constant difference of 3 between succesive terms. So its arithemetic series. Sum formula for arithmetic series is

$S_(n) = (n(a_(1) + a_(n)))/(2)$

where n is total number of terms, $a_(1)$ and $a_(n)$ are first and last term in series

So here n = 5 ( as n is from 0 till 4). so plug value of n as 5, $a_(1)$ as 1 and $a_(5)$ as 13 in sum formula

$S = (5(1 + 13))/(2)$

$S = (5(14))/(2) = (70)/(2) =35$

So sum of first series is 35

Similarly find sum of second series. Plug i values in 3i-5 as shown and find few terms in series

for i =2, $a_(1) = 3(2) - 5 = 6 - 5 = 1$

for i =3, $a_(2) = 3(3) - 5 = 9 - 5 = 4$

so on .... and for last term plug i as 6

for i =6, $a_(5) = 3(6) - 5 = 18 - 5 = 13$

So for sum we will plug n as 5 ( i =2,3,4,5,6 so total 5 terms), then plug $a_(1)$ as -2 and $a_(5)$ as 13 in sum formula

$S = (5(1 + 13))/(2) = (5(14))/(2) = (70)/(2) =35$

So sum of second series is also 35

So difference between sums of both series will be 35-35 =0

Final answer here is 0

Write an equation of the line passing through the point (5, 1) that is perpendicular to the line 5x+3y=15.

Answers

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What is the approximate are of the the pool

Answers

area (pool)=area (rectangle) - area (triangle)

1) we calculate the area of the rectangle:
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2) we calculate the area of the triangle:
area (triangle)=(base x height) / 2
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3) we calculate the area of this pool:
area (pool)=720 ft²-15 ft²=705 ft²

Answer: the area of the pool is 705 ft².

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Answers

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$8.40 divided by 30= .28 which means 28 cents per pen

so $8.40 for 30 pens is a better deal than 18 pens for $6.84 by ten cents.

I would say 18 pens for $6.84 is a better deal because its cheaper.

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