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3 years ago

Write an expression that shows how you can multiply 9x475 using expanded form and Distributive property

1 answer:

4 0

To write an expression that shows 9 * 475 multiply using expanded form an distributive property we break 475 into three numbers

475 can be break into 400 + 70 + 5

Now we multiply by 9

9 x 475

9 x (400 + 70 + 5) (expanded form of 475)

We use distributive property here.

We distribute 9 inside the parenthesis

9 x 400 + 9 x 70 + 9 x 5

3600 + 630 + 45

4,275

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Kristin wants to buy a pair of jeans that cost $35 and are on sale

Genrish500 [490]

Answer:

$51.10

Step-by-step explanation:

First, find 20% of $35, then add the sale price of the jeans and the two t-shirts. Take the total and find the sales tax and add that onto the cost.

100 - 20 = 80 If you multiply the jeans by 80% it gives you the price for the jeans saving you from having to subtract the discount from the original price.

35 * 0.80 = $28.00 jeans 28.00 47.98

9.99 + 3.12

+ 9.99 $51.10

47.98

X 0.065

$3.12

3 0

2 years ago

Which of the following expressions is 0.00012 written in scientific notation? A. 0.12 × 10^-3 B. 1.2 × 10^-4 C. 12 × 10^-5 D. 1.

In-s [12.5K]

Answer:

B. 1.2 x $10^{-4}$

Step-by-step explanation:

Scientific notation is a way of writing very large or very small numbers. A number is written in scientific notation when a number between 1 and 10 is multiplied by a power of 10. For example, 650,000,000 can be written in scientific notation as 6.5 ✕ 10^8. Or, in this case it's the opposite since we have a negative number. Since it's a decimal it's multiplied by 10 still but the exponent is negative. All we need to do to find what the exponent would be in this case is to count the number of zeros before the "12." There are 4 zeros before the 12. So your exponent would be -4. Now all we need to do is write out "equation" per say.

1.2 x 10^-4

Hope this helps and have a nice day!

5 0

2 years ago

Read 2 more answers

M=2*2*3*5*5 and N=2*2*2*3*3*7 find the largest number that divides exactly M and N

Gelneren [198K]

Answer:

Step-by-step explanation:

M=2*2*3*5*5=300

N=2*2*2*3*3*7=504

Common factors between the two numbers are 2 and 3

The GCF(greatest common factor):

2×3 = 6

To see if it is true:

300/6 = 50

504/6 = 84

6 is the answer to the question.

6 0

3 years ago

Factorise fully x^3-x

MA_775_DIABLO [31]

Answer:

$x(x+1)(x-1)$

Step-by-step explanation:

We see that the two terms share an x, so we can pull that out:

$x^3-x=x(x^2-1)$

Now notice that we have a difference of squares ( $x^2-1$ ). Given a difference of squares, $a^2-b^2$ , this can always be factored into $(a+b)(a-b)$ . We can use this in this case: $x^2-1=(x+1)(x-1)$ .

So, our final factorized form is: $x(x+1)(x-1)$ .

Hope this helps!

3 0

3 years ago

The sum of three consecutive numbers is 12 find the numbers

snow_tiger [21]

Let x,y,z be those numbers.
x+y+z = 12
Since x,y,z are consecutive: y=x+1, and z = x+2
Let's replace y and z by their new values:
x+x+1+x+2=12
3x+3=12
You subtract 3 from each side to get variables on a side, and numbers on the other:
3x=9
You divide both sides by 3:
x=3

y=x+1 = 3+1 = 4
z=x+2 = 3+2 = 5

So the numbers are 3; 4 and 5.

You can re-check your answers (very important):
3+4+5 = 12
3;4;5 are consecutive numbers.
The answer has been approved.

Hope this Helps! :)

7 0

2 years ago