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3 years ago

(1.8x10^5)divided by(3x10^6) in standard form?

Mathematics

1 answer:

Softa [21]3 years ago

5 0

Answer:

0.06

Step-by-step explanation:

Given data:

$1.8(10^{5})$ divided by 3× $10^{6}$

Now,

$\frac{(1.8)10^{5} }{3(10^{6}) } \\=0.6(10^{5-6} )\\=0.6(10^{-1} )\\=0.06$

Answer will be 0.06

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What are the integer solutions to the inequality below?<br><br> 4x+1<5x≤3(x+2)

Anarel [89]

Given:

The inequality is:

$4x+1$

To find:

The integer solutions to the given inequality.

Solution:

We have,

$4x+1$

This compound inequality can be written as two separate inequalities $4x+1$ and $5x\leq 3(x+2)$ .

Now,

$1$

$1$ ...(i)

And,

$5x\leq 3(x+2)$

$5x\leq 3(x)+3(2)$

$5x-3x\leq 6$

$2x\leq 6$

Divide both sides by 2.

$x\leq \dfrac{6}{2}$

$x\leq 3$ ...(ii)

From (i) and (ii), we get

$1$

Here, 1 is excluded and 3 is included in the solution set. There two integer values 2 and 3 in $1$ .

Therefore, the integer solution for the given inequality are 2 and 3.

8 0

3 years ago

Woman salary is $2,800 in 1988 and was 15% more in 1989. If she paid a tax of 12.5% of her salary, how much tax did she pay in 1

iris [78.8K]

So first step is to find out how much the woman's salary is in 1989. We can do this by multiplying 0.15 (15% in decimal form) and $2,800 together, then adding that product by $2,800.

$2800*0.15= \$ 420\\ 2800+420= \$ 3220$

The woman makes $3,220 in 1989.

To find how much tax she pays in 1989, just multiply 0.125 (12.5% in decimal form) and 3220 together:

$3220*0.125= \$ 402.50$

In short, the woman paid $402.50 in tax in 1989.

5 0

4 years ago

Prove that the Greatest Integer Function f: R -> R given by f(x) = [x], is neither one-once nor onto, where [x] denotes the g

Karo-lina-s [1.5K]

F: R → R is given by, f(x) = [x]
It is seen that f(1.2) = [1.2] = 1, f(1.9) = [1.9] = 1
So, f(1.2) = f(1.9), but 1.2 ≠ 1.9
f is not one-one

Now, consider 0.7 ε R
It is known that f(x) = [x] is always an integer. Thus, there does not exist any element x ε R such that f(x) = 0.7

So, f is not onto
Hence, the greatest integer function is neither one-one nor onto.

The answer was quite complicated but I hope it will help you.

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4 years ago

Rabiyas mother is tired so rabia decided iron her clothes but the ironing cloth herself but the ironing board is too high for he

xeze [42]

This is a guess, but, from what I've researched, maybe decrease? I've looked into it alot and that's just I think, though, it may depend on the previous height. Still, just an educated guess (I've got 100% on all kinds of quizzes because of educated guesses so, it may work!)

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3 years ago

6.2 poiThe width of a rectangle is 4 less than half thelength. If l represents the length, which equationcould be used to find t

Vilka [71]

We are told that l is the length of the rectangle. We are told that the widht is 4 less than half the lenght. So, first, we calculate the half of l, which would be

$\frac{l}{2}$

the part that says "4 less than" means that we should subtract 4 from the half of length. So we get

$\frac{l}{2}-4$

now, this expression should be equal to the width , that we'll note as w. So we end up with the equation

$w=\frac{l}{2}-4$

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1 year ago