Need help with these: [Can you show me the work for them please, if needed?]
3. Simplify (4x)(-2y)
Is the answer -8xy?
5. To which set of numbers does 7.543 belong?
a. rational
b. irrational
c. integer
?
8. Write an algebraic expression for one-half a number x subtracted from fifty
Is the answer 1/2x-50 ?
9. Write an algebraic expression for the verbal expression: three times the sum of x and y increased by five times the product of x and 3y.
Is the answer: 3(x+y)+5(3yx) ?
12. Name the property used in the equation 17 x c =17. Then solve for c
a. multiplicative identity; c=1
b. transitive; c=2
c. distributive; c=0
A?
Thanks
-MC
rational numbers can be written as a fraction:
7543/10000
8> subtracted FROM 50
yes, yes on others.
I don't know what questions you're referring to, for each of those things?
-MC
Never mind I got it. Thanks!
-MC
Sure, I can help you with these questions! Let's go through each one and find the answers:
3. Simplify (4x)(-2y)
To solve this, we'll use the distributive property. Multiply each term inside the parentheses with the term outside:
(4x)(-2y) = 4x * -2y = -8xy
So, the simplified expression is -8xy.
5. To which set of numbers does 7.543 belong?
To determine which set of numbers it belongs to, we need to analyze the decimals. If a decimal can be expressed as a fraction, then it is a rational number. If it cannot be expressed as a fraction and has non-repeating or non-terminating decimals, then it is an irrational number.
7.543 can be expressed as 7543/1000, which is a fraction. Therefore, it belongs to the rational number set (a).
8. Write an algebraic expression for one-half a number x subtracted from fifty
To write this expression, we'll use the given information. One-half of a number x can be represented as (1/2)x. Subtracting that from fifty, we get:
50 - (1/2)x
So, the algebraic expression for one-half a number x subtracted from fifty is 50 - (1/2)x.
9. Write an algebraic expression for the verbal expression: three times the sum of x and y increased by five times the product of x and 3y.
To write this expression, we'll break it down into smaller parts:
- Three times the sum of x and y: 3(x + y)
- Five times the product of x and 3y: 5(x * 3y) = 15xy
Adding those two parts together, we have:
3(x + y) + 5(15xy)
Simplifying further:
3x + 3y + 75xy
So, the algebraic expression for the given verbal expression is 3x + 3y + 75xy.
12. Name the property used in the equation 17 x c = 17. Then solve for c
In the equation 17 x c = 17, the property used is the multiplicative identity property. According to this property, any number multiplied by 1 is equal to the original number.
So, in this case, we have:
17 x c = 17
To solve for c, we divide both sides of the equation by 17:
(17 x c)/17 = 17/17
c = 1
Therefore, the multiplicative identity property is used, and the value of c is 1.
I hope that helps! Let me know if you have any further questions.