Simplify. 11−9(−2x−3)
To simplify the expression 11 - 9(-2x - 3), you can distribute the -9 as follows:
11 - 9(-2x) - 9(-3)
This simplifies to:
11 + 18x + 27
So the simplified expression is 18x + 38.
Factor this expression completely. 35x−40
To factor the expression 35x - 40 completely, we can begin by factoring out the greatest common factor (GCF), which in this case is 5:
5(7x - 8)
The expression 7x - 8 cannot be factored further, so the factored form of 35x - 40 is 5(7x - 8).
Factor this expression completely. −21x+28
To factor the expression completely, we can first look for common factors. In this case, both -21x and 28 can be divided by 7:
7(-3x + 4)
Therefore, the factored form of -21x + 28 is 7(-3x + 4).
Which factorization is equivalent to this expression? −42k−54
To find the equivalent factorization of -42k - 54, we can first look for a common factor. Both -42k and -54 can be divided by 6:
-6(7k + 9)
Therefore, the equivalent factorization of -42k - 54 is -6(7k + 9).
Factor the expression completely. 100x+1000
To factor the expression 100x + 1000 completely, we can first look for a common factor. In this case, both 100x and 1000 can be divided by 100:
100( x + 10)
Therefore, the factored form of 100x + 1000 is 100(x + 10).
Simplify. 3−(4x−5)+6
To simplify the expression 3 - (4x - 5) + 6, we need to distribute the negative sign across the terms inside the parentheses:
3 - 4x + 5 + 6
Next, we can combine like terms:
(3 + 5 + 6) - 4x
This simplifies to:
14 - 4x
So the simplified expression is 14 - 4x.
Ella Grace bought 5 plants for her backyard for $20 each and 3 chairs for her firepit for $20 each. She used this expression to calculate the total amount she spent. (5⋅20)+(3⋅20) What is another expression to calculate the total amount spent? (1 point)
Another expression to calculate the total amount spent would be: 5(20) + 3(20).
Which number sentence shows how the distributive property can be used to represent the area of the entire rectangle (both rectangles together)? (1 point) Responses (9+6)⋅(9+11) open paren 9 plus 6 close paren times open paren 9 plus 11 close paren 9⋅6⋅11 9 times 6 times 11 11(6+9) 11 times open paren 6 plus 9 close paren (9⋅6)+(9⋅11) open paren 9 times 6 close paren plus open paren 9 times 11 close paren Skip to navigation
The number sentence that shows how the distributive property can be used to represent the area of the entire rectangle (both rectangles together) is:
(9 + 6) × (9 + 11)
Simplify the expression. 0.625+3/4
To simplify the expression 0.625 + 3/4, we need to find a common denominator for the two numbers. The common denominator between 4 and 1 is 4.
Converting 0.625 to a fraction with a denominator of 4, we get:
0.625 = 625/1000 = 5/8
Now, the expression becomes:
5/8 + 3/4
Since the denominators are the same, we can add the numerators:
5/8 + 3/4 = (5 + 6)/8 = 11/8
So, the simplified expression is 11/8.