All categories

11 days ago

10 times as many as blank hundreds or 60 hundreds is blank thousands

Mathematics

2 answers:

Svet_ta [4.3K]11 days ago

4 0

The result of multiplying 10 by 6 hundreds equals 60 hundreds, which can also be expressed as 6 thousands.

Explanation

This can be simplified as follows:

10 times a given quantity of _____ hundreds results in 60 hundreds
60 hundreds convert to _____ thousands

We will divide this into two segments:

$\boxed{ \ 10 \times (N \times 100) = 60 \times 100 \ }$ ... Equation-1

$\boxed{ \ 60 \times 100) = M \times 1,000 \ }$ ... Equation-2

This straightforward multiplication relates to the place value system. We need to perform calculations to find the values of N and M.

Initially, let's focus on Equation-1.

We will move the variable M to one side of the equation in order to isolate it and solve for its value.

$\boxed{ \ 10 \times (N \times 100) = 60 \times 100 \ }$

$\boxed{ \ 1,000 \times N = 6,000 \ }$

Both parts will be divided by 1,000, essentially being multiplied by $\frac{1}{1,000}$ .

$\boxed{ \ \frac{1}{1,000} \times 1,000 \times N = \frac{1}{1,000} \times 6,000 \ }$

Thus, we conclude with $\boxed{\boxed{ \ N = 6 \ }}$

Next, we process Equation-2 to derive M's value.

$\boxed{ \ 60 \times 100) = M \times 1,000 \ }$

$\boxed{ \ 6,000 = M \times 1,000 \ }$

Rearranging this equation to place M on the left side appears as follows:

$\boxed{ \ M \times 1,000 = 6,000 \ }$

Again, both sides undergo division by 1,000, which translates to multiplication by $\frac{1}{1,000}.$ .

$\boxed{ \ \frac{1}{1,000} \times M \times 1,000 = \frac{1}{1,000} \times 6,000 \ }$

This results in $\boxed{\boxed{ \ M = 6 \ }}$

- - - - - - -

Alternative approach for the second step:

60 hundreds equals to __ thousands

$\boxed{ \ 6 \times 10 \ hundreds = \ M \ thousands} \ }$

$\boxed{ \ 6 \times thousands = \ M \ thousands} \ }$

$\boxed{\boxed{ \ M = 6 \ }}$

Additional resources

A more detailed version of this topic
2 thousands 7 tens divided by 10 equals what?
100 is equivalent to 1/10 of which number?

Keywords: 10 times as many as, blank, hundreds, 60 hundreds, or, thousands, isolate, operations, multiply, divide, fraction, both sides, equal, the opposite, both sides are multiplied by, divided by, rearrange

PIT_PIT [3.9K]11 days ago

3 0

<span>The solution to the problem regarding 10 times the number of blank hundreds or 60 hundreds being blank thousands shows that multiplying 10 by 6 hundreds gives 6 thousands. Hence, it results in 6 hundreds and equates to 6 thousands.</span>

You might be interested in

The function h(t) = –16t2 + 28t + 500 represents the height of a rock t seconds after it is propelled by a slingshot.What does h

tester [3916]

Answer:

The height of the rock after 3.2 seconds has passed.

Step-by-step explanation:

To respond to this question, we must examine the provided function:

h(t) = –16t2 + 28t + 500

This function h(t) denotes the height of a rock t seconds after it has been launched by a slingshot.

t signifies time (in seconds)

As t is the independent variable and h is the dependent variable, the height of the rock at 3.2 seconds is expressed as h(3.2).

If you have any further questions or need clarification, feel free to ask.

3 0

11 days ago

Find the point on the circle x^2+y^2 = 16900 which is closest to the interior point (30,40)

Leona [4166]

Response-

(78,104) represents the point closest to the interior.

Explanation-

The equation defining the circle,

$\Rightarrow x^2+y^2 = 16900$

$\Rightarrow y^2 = 16900-x^2$

$\Rightarrow y = \sqrt{16900-x^2}$

Since the point lies on the circle, its coordinates must be,

$(x,\sqrt{16900-x^2})$

The distance "d" from the point to (30,40) can be calculated as,

$=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}$

$=\sqrt{(x-30)^2+(\sqrt{16900-x^2}-40)^2}$

$=\sqrt{x^2+900-60x+16900-x^2+1600-80\sqrt{16900-x^2}}$

$=\sqrt{9400-60x-80\sqrt{16900-x^2}}$

Next, we need to determine the value of x for which d is minimized. The minimum distance occurs when $9400-60x-80\sqrt{16900-x^2}$ is at its lowest value.