Which expression best represents the following statement?
The sum of 15 and twice a number `n`.
15 + 2n
#6.
Name the property that is illustrated by the statement below:
2 + 7 + 3 = 2 + 7 + 3
The property illustrated by the statement is the commutative property of addition.
Printer ink cartridges cost $19 each. The company that sells the ink cartridges charges a flat rate of $7.50, no matter how many ink cartridges you buy.
Write an algebraic expression that describes the total cost for a single order of `x`, cartridges.
The algebraic expression that describes the total cost for a single order of `x` cartridges is:
19x + 7.50
Evaluate the expression `3b-ac` when `a\ =\ -2`, `b\ =3`, and `c=0.5`
To evaluate the expression 3b - ac when a = -2, b = 3, and c = 0.5, we substitute the given values into the expression and perform the calculations:
3(3) - (-2)(0.5)
= 9 - (-1)
= 9 + 1
= 10
Therefore, the value of the expression 3b - ac when a = -2, b = 3, and c = 0.5 is 10.
Evaluate the expression `5x^{2}+2y` when `x\ =\ -3` and `y\ =0.25`.
To evaluate the expression 5x^2 + 2y when x = -3 and y = 0.25, we substitute the given values into the expression and perform the calculations:
5(-3)^2 + 2(0.25)
= 5(9) + 0.5
= 45 + 0.5
= 45.5
Therefore, the value of the expression 5x^2 + 2y when x = -3 and y = 0.25 is 45.5.
Evaluate the expression `\frac{3mn}{-2p}` when `m\ =\ \frac{1}{3},` `n\ =-3,`and `p=3.`
To evaluate the expression (3mn) / (-2p) when m = 1/3, n = -3, and p = 3, we substitute the given values into the expression and perform the calculations:
(3 * (1/3) * (-3)) / (-2 * 3)
= (-1 * -3) / (-6)
= 3 / (-6)
= -0.5
Therefore, the value of the expression (3mn) / (-2p) when m = 1/3, n = -3, and p = 3 is -0.5.
Which expression is equivalent to ``
I'm sorry, but your question was cut off and there is no expression provided to determine an equivalent expression. Please provide the full expression so that I can assist you in finding an equivalent expression.
A state park charges an entrance fee plus $15 for each night of camping. The table shows this relationship. Which algebraic expression describes the total cost for camping `n` nights?
Without the table mentioned, I am unable to provide a specific algebraic expression that describes the total cost for camping `n` nights. Please provide the table or any additional information regarding the relationship between the entrance fee, cost per night, and the total cost for camping.
While on vacation, you rent a scooter. You pay $7.50 for each hour you use it. It costs $3 to rent a helmet. Write an algebraic expression that describes the total cost in terms of hours, x, that you rent the scooter.
The algebraic expression that describes the total cost in terms of hours(x) that you rent the scooter is:
7.50x + 3
Simplify: 12(x + 4)
To simplify 12(x + 4), we can distribute the 12 to both terms inside the parentheses:
12 * x + 12 * 4
This simplifies to:
12x + 48
Therefore, the simplified form of 12(x + 4) is 12x + 48.
Simplify: -2(2x - 5)
To simplify -2(2x - 5), we can distribute the -2 to both terms inside the parentheses:
-2 * 2x - 2 * (-5)
This simplifies to:
-4x + 10
Therefore, the simplified form of -2(2x - 5) is -4x + 10.
Simplify: 1/2 (6x +10)
To simplify 1/2 (6x + 10), we can distribute the 1/2 to both terms inside the parentheses:
(1/2) * 6x + (1/2) * 10
This simplifies to:
(6/2)x + 5
Simplifying further:
3x + 5
Therefore, the simplified form of 1/2 (6x + 10) is 3x + 5.
3(8 - 5x) + 2
To simplify 3(8 - 5x) + 2, we can distribute the 3 to the terms inside the parentheses:
3 * 8 - 3 * 5x + 2
This simplifies to:
24 - 15x + 2
Combining like terms:
-15x + 26
Therefore, the simplified form of 3(8 - 5x) + 2 is -15x + 26.
3(8 - 5x) + 2x
To simplify 3(8 - 5x) + 2x, we can distribute the 3 to the terms inside the parentheses:
3 * 8 - 3 * 5x + 2x
This simplifies to:
24 - 15x + 2x
Combining like terms:
-13x + 24
Therefore, the simplified form of 3(8 - 5x) + 2x is -13x + 24.
5x -4(2 +3x)
To simplify 5x - 4(2 + 3x), we can distribute the -4 to the terms inside the parentheses:
5x - 4 * 2 - 4 * 3x
This simplifies to:
5x - 8 - 12x
Combining like terms:
-7x - 8
Therefore, the simplified form of 5x - 4(2 + 3x) is -7x - 8.