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2 years ago

How can you express the properties of operations to evaluate this expression 18 + 4(28)

Mathematics

1 answer:

Akimi4 [234]2 years ago

3 0

Answer:

I don't know if I'm understanding your question correctly. But I'll try...

In this problem you need to remember PEMDAS!

Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction.

18 + 4(28) -First you would multiply 4 by 28 since the 28 is in parentheses.

18 + 112 -Now you would add to find your answer

= 130

I hope this helps!

-Mikayla

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WHAT IS X³-27 SIMPLIFIED

Eduardwww [97]

Answer:

It is (x - 3)³ - 9x(3 - x)

Step-by-step explanation:

Express 27 in terms of cubes, 27 = 3³:

$= {x}^{3} - {3}^{3}$

From trinomial expansion:

${(x - y)}^{3} = (x - y)(x - y)(x - y) \\$

open first two brackets to get a quadratic equation:

${(x - y)}^{3} = ( {x}^{2} - 2xy + {y}^{2} )(x - y)$

expand further:

${(x - y)}^{3} = {x}^{3} - y {x}^{2} - 2y {x}^{2} + 2x {y}^{2} + x {y}^{2} - {y}^{3} \\ {(x - y)}^{3} = {x}^{3} - {y}^{3} + 3x {y}^{2} - 3y {x}^{2} \\ {(x - y)}^{3} = {x}^{3} - {y}^{3} + 3xy(y - x) \\ \\ { \boxed{( {x}^{3} - {y}^{3} ) = {(x - y)}^{3} - 3xy(y - x)}}$

take y to be 3, then substitute:

$( {x}^{3} - 3^3) = {(x - 3)}^{3} - 9x(3 - x)$

5 0

2 years ago

A washer and a dryer cost $562 combined. The washer costs $88 less than the dryer. What is the cost of the dryer?

Yanka [14]

Answer:

Let the dryer cost x.

Then, the washer costs (x+87)

Together, they cost (x) + (x+87) = 787

2x+87 = 787

2x = 700 [subtract 97 from both sides]

x = 350 [divide both sides by 2]

The dryer cost $350.

Check: The washer cost $437. Together, they cost $787 [good to check, right?]

Hope this helps...

8 0

2 years ago

Read 2 more answers

What single decimal multiplier would you use to increase by 4% followed by a 3% increase

Mandarinka [93]

Answer:

1.0712

Step-by-step explanation:

if you increase by 4%, it means you will have a new total of 104%. In decimals it is 1.04 (divide your percentage by 100) after that you do the same with the 3% increase. you'll have a new total of 103%. In decimals 1.03. If you want to know what single multiplier you can use, you need to multiply the both decimals. So you get 1.04 x 1.03 = 1.0712

hope this will help you, have a nice day!

7 0

2 years ago

74% of freshmen entering public high schools in 2006 graduated with their class in 2010. A random sample of 81 freshmen is selec

Assoli18 [71]

Answer: Probability that the proportion of students who graduated is greater than 0.743 is P = 0.4755

Step-by-step explanation:

Given that,

Probability of freshmen entering public high schools in 2006 graduated with their class in 2010, p = 0.74

Random sample of freshman, n = 81

Utilizing central limit theorem,

$P(\hat{p}$

So,

$(P(\hat{p}>0.743) = P(Z>0.743 - \frac{0.74}{\sqrt{\frac{0.74(1-0.74)}{81} } } )$

= P( Z > 0.0616)

= 0.4755 ⇒ probability that the proportion of students who graduated is greater than 0.743.

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2 years ago

Write in simplest form 1/3 times 1 1/3

IRINA_888 [86]

Answer:

3 2/3

Step-by-step explanation:

Use a calculator please

8 0

2 years ago