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Molodets [167]
3 years ago
10

Please help with both questions, thank you!

Mathematics
1 answer:
algol [13]3 years ago
5 0

11) 3 (2x + 7) - 4 = 53 - 3x is the given

Then, we use distributive property and get:

6x + 21 - 4 = 53 - 3x

Next, we combine like terms

6x + 17 = 53 - 3x

Then, we use the addition property of equality to add 3x to both sides.

9x + 17 = 53

We then use the subtraction property of equality to subtract 17 from both sides.

9x = 36

Finally, we use the division property of equality to divide 36 by 9, which isolates x.

x = 4

So, (In order) you have the: Given, Distributive Property, Combine Like Terms, Addition Property of Equality, Subtraction Property of Equality, and Division Property of Equality.

12) Please Note: This is an inequality problem. Which means we do not use the properties of equality. We'd use the properties of order. Properties of order are specific to inequalities, as the properties of equality are specific to the equations. They do not cross. As for your paper, I'm not sure why it says to use the properties of equality. I will be using the properties of order.

-7 (3 + 8x) + 5x ≤ 1 - 62x is the given

-21 - 56x + 5x ≤ 1 - 62x is distributive property

We then combine like terms

-21 - 51x ≤ 1 - 62x

Next, we use subtraction property of order to subtract 1 from each side.

-22 - 51x ≤ -62x

Then, we add 51x to each siding using the addition property of order

-22 ≤ -11

Lastly, we use the division property of order to divide 11 from both sides, which then gives us:

2 ≥ x

It becomes a positive because we're dividing 2 negatives, and we also turn the sign because we're dividing by negatives.

In order: Given, Distributive Property, Combine Like Terms, Subtraction Property of Order, Addition Property of Order, and Division Property of Order.

 

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32.8 + # = 100 <br><br> What is #?
Marrrta [24]

Answer:

67.2

Step-by-step explanation:

You take 100 and minus 32.8

it is the same as  10minus 8 is 2 so we right the 2. then 9-2 is 7. and 9-3 is 6

    99.(1)0

-

    32.8

---------------

    67.2            

5 0
3 years ago
You need to arrange tenten of your favorite books along a small shelf. how many different ways can you arrange the? books, assum
jok3333 [9.3K]
That is permuations

that would be 10! or 10*9*8*7*6*5*4*3*2*1=3628800 ways

4 0
3 years ago
Read 2 more answers
Explain how using basic facts can help you find 10×20×30×40 mentally?
Katena32 [7]
So all you have to do is take the first numbers of each multiple and multiply them. 
1 x 2 x 3 x 4 = 24 
Now you just add the 4 zeros to your answer. 
240,000 

Our answer even checks! 
10 x 20 x 30 x 40 = 240,000 

Good Luck! :)
3 0
3 years ago
The difference between the set of non-negative real numbers and the set of positive real numbers is:
Inessa05 [86]

Answer:

C; A singleton set

Step-by-step explanation:

Mathematically, when a number is non-negative; it is either positive or zero

Now, this is because 0 identifies as neither a positive or a negative number

hence, when we find the difference between the two sets, the only number that stands out unmatched is the value 0

What this mean is that we are having a set with a single number result

So we have our answer as {0}

Which is a singleton set

4 0
3 years ago
Frank invests $1,000 in simple interest investment account that pays 8% a year. After a number of years, he withdraws his balanc
MAXImum [283]

There are 15 years was his money invested.

<h3>What is simple interset?</h3>

Simple Interest is an easy method of calculating the interest for a loan/principal amount.

Given

Frank invests $1,000 in simple interest investment account that pays 8% a year.

After a number of years, he withdraws his balance of $2,200.

The number of years was his money inversted is;

\rm I= P\times r \times t

Where p is the principal amount, r is the rate of interest, I is the amount and  t is the time.

Substitute all the values in the formula;

\rm I= P\times r \times t\\\\2200-1000= 1000 \times .08 \times t\\\\1200 = 80t\\\\t = \dfrac{1200}{80}\\\\t=15

Hence, in the 15 years was his money invested.

To know more about investing click the link given below.

brainly.com/question/26677076

7 0
2 years ago
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