Is this answer correct

Write the expression in factored form: m²-n²

mash [69]

This expression is a difference of squares: $x^2 - y^2 = (x + y)(x - y)$

$m^2 - n^2 = (m + n)(m - n)$

4 0

3 years ago

Sandra bought 30 T-shirts at the clothing store. 20% of the T-shirts were blue and half of the T-shirts were black. How many of

insens350 [35]

So you have 20% of blue and 50% of black.
So you have 70% in total that are both blue and black.
100%- 70%= 30%
So that means 30% were neither blue or black.
Do a proportion
30/100= x/30
30 x 30= 900
900 divided by 100= 9
Answer is 9 shirts are neither blue or black

8 0

3 years ago

Complete the place value chart for the following number.Write its number name and tell the value of the underlined digit.

makkiz [27]

Answer:

two hundredths

Step-by-step explanation:

6 is in the ones place. 3 is in the tenths place. 2 is in the hundredths place

5 is in the thousandths place.

7 0

3 years ago

Read 2 more answers

What are the explicit equation and domain for an arithmetic

max2010maxim [7]

Given:

First term of an arithmetic sequence = 5

Second term = 3

To find:

The explicit formula for the given arithmetic sequence.

Solution:

We have,

First term: $a_1=5$

Second term: $a_2=3$

Common difference is

$d=a_2-a_1$

$d=3-5$

$d=-2$

Now, the explicit formula for an arithmetic sequence is

$a_n=a+(n-1)d$

where, a is first term and d is common difference.

Putting a=5 and d=-2, we get

$a_n=5+(n-1)(-2)$

It can also be written as

$a_n=5-2n+2$

$a_n=7-2n$

Here, n is an integer greater than or equal to 1.

Domain is the set of input values.

Therefore, the explicit equation is $a_n=5+(n-1)(-2)$ or $a_n=7-2n$ and domain is all interest greater than or equal to 1.

8 0

2 years ago

Please explain how you got your answers! (: Solve the problem by using the counting principle.

Natasha2012 [34]

A. The number of fabric-pattern-color combinations is 4 * 13 * 9 = 468

B. P(1st choice) = no of novels / total books = 3/6 = 1/2
    P(2nd choice) = no of remaining novels/ total remaining books = 2/5
    P(both novels) = 1/2 * 2/5 = 1/5 (without replacement assumed)

C. P(1st choice) = no of biographies / total books = 2/6 = 1/3
    P(2nd choice) = no of remaining biographies/ total remaining books = 1/5
    P(both biographies) = 1/3 * 1/5 = 1/15 (without replacement assumed)

D. P(1st choice) = no of history books / total books = 1/6
    P(2nd choice) = no of novels/ total remaining books = 3/5
    P(a history, then a novel) = 1/6 * 3/5 = 1/10 (without replacement assumed)

7 0

3 years ago