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3 years ago

(2.5 x 104) * (8 x 10) =

Mathematics

2 answers:

mafiozo [28]3 years ago

6 0

Answer:

20,800

Step-by-step explanation:

Romashka-Z-Leto [24]3 years ago

4 0

Answer:

20,800

Step-by-step explanation:

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Divide the binomial by the monomial to find the quotient -36x^4y + 144x^2 y^6/ -4x^2y

elixir [45]

The way that you would do this is by taking $-4x^{2}$ out of the binomial, or as I like to think about it, 'un-distributing'. :p
$-4x^{2}$ out of $-36x^{2}y$ , you end up with $12x^{2}$ .
When you take $-4x^{2}$ out of $144x^{2}y{6}$ , you get $-36y^{5}$ .
Put it together, and the solution is $12x^{2}$ - $36y^{5}$ .

Hope I helped!!

8 0

4 years ago

Read 2 more answers

A yoga studio offered a special for high school students where new students could join for half off of the monthly fee (includes

Eva8 [605]

Given:

the discounted price was offered by the yoga studio at 50% off the regular price 'r' (monthly fee).
the one-time processing fee is $8.25
10 students took this offer and the yoga studio collected $392.50

To Find:

The regular price of the monthly fee 'r'

Solution:

The equation can be framed as

$(r-\frac{50}{100}.r)+8.25=39.25\\\frac{50}{100}.r+8.25=39.25\\\frac{r}{2}+8.25=39.25\\\frac{r}{2}=31\\r=(31)(2)=62$

And, the regular price of the monthly fee is $62.

Calculation:

We know that 10 students took the offer and the yoga studio collected $392.50. This means, using the Unitary Method, the studio has collected $(392.50/10) = $39.25 per student.

Now, if r denotes the regular price of the monthly fee, the offer runs a 50% discount on r.

So, the discounted price should be $(r - 50% of r) i.e., $r-\frac{50}{100}.r$

We must add to this the one time processing fee of $8.25

Therefore, the total price paid by one student would be

$(r-\frac{50}{100}.r)+8.25$

This must be equal to $39.25 as we have calculated this to be the amount collected by the yoga studio per person.

So, the equation can be framed as

$(r-\frac{50}{100}.r)+8.25=39.25\\\frac{50}{100}.r+8.25=39.25\\\frac{r}{2}+8.25=39.25\\\frac{r}{2}=31\\r=(31)(2)=62$

Thus, the regular price of the monthly fee is $62.

5 0

3 years ago

How do you write 5,392,029,004 in expanded form

Neko [114]

5,000,000,000 + 300,000,000 + 90,000,000 + 2,000,000 + 20,000 + 9,000 + 4

6 0

4 years ago

Which big these flags will have the greatest area? Why?

svetoff [14.1K]

<h2>Question 1:</h2>

The area of flag b is the greatest.

Explanation:

Area of triangle = $\frac{1}{2}base*height$

Area of parallelogram = base * height

For flag A:

It is a triangle with base = b and height = a

Area of flag A = $\frac{1}{2}a*b$ square units

For flag B:

It is a parallelogram with base = a and height = b

Area of flag B = a*b square units

For flag C:

It is a triangle with base = b and height = a

Area of flag C = $\frac{1}{2}a*b$ square units

From the above, we can conclude that the area of the parallelogram (flag B) is the greatest

<h2>Question 2:</h2>

The perimeter of flag C is shorter than that of flag A

Explanation:

Perimeter is the sum of the three sides of the figure

For flag C:

The three sides are given as a, b and c

Therefore, perimeter of flag c = a + b + c units

For flag A:

We are given two sides as b and c and we are given that the height is a

We know that in the given flag, the third side (the unknown slant one) will be longer than the height of the height of the triangle

Therefore, the third side = a + k where k is a constant

Therefore, perimeter of flag A = a + b + c + k units

From the above, we can conclude that the perimeter of flag C is shorter

Hope this helps :)

6 0

3 years ago

Put into simplest form

stepladder [879]

Since 4^2=sqrt(16), we can rewrite it as that. In addition, as 2 is a factor of 16, we can rewrite it as sqrt(2)*sqrt(16/2)=sqrt(2)*sqrt(8). Crossing out the sqrt(2), we get sqrt(8) as our answer. To simplify it, we can note that 2^2=4 and 4 is a factor of 8 when multiplied by 2, so we get 2*sqrt(2)

7 0

3 years ago