party she has a budget of 150 she knows that the food will cost $5 per person 12 friends are coming to the party which expression represents the amount of money, m. kaylas mom has to spend on each guests goodie bag
12m + 5 = 150
5 (m + 12) = 150
M + 12 (5) = 150
12 (m + 5) = 150
The expression that represents the amount of money, m, that Kayla's mom has to spend on each guest's goodie bag is:
5(m + 12) = 150
Solve −2 (4 - n) = 24
16
-8
8
-16
To solve −2 (4 - n) = 24, we can begin by distributing the -2:
-2 * 4 + 2 * n = 24
Simplifying further:
-8 + 2n = 24
Next, we can subtract -8 from both sides of the equation:
-8 + 8 + 2n = 24 + 8
This results in:
2n = 32
Finally, we divide both sides of the equation by 2 to solve for n:
2n/2 = 32/2
This simplifies to:
n = 16
Therefore, the solution to the equation is n = 16.
One-quarter of the difference of a number and 3 is 2. Find the number
11
3 1/2
5/4
20
To solve for the number, we can set up an equation using the given information.
Let's represent the number as x.
According to the problem, one-quarter of the difference between the number (x) and 3 is equal to 2.
Translated into an equation, this can be written as:
(1/4)(x - 3) = 2
To solve for x, we can start by multiplying both sides of the equation by 4 to eliminate the fraction:
4(1/4)(x - 3) = 2 * 4
This simplifies to:
x - 3 = 8
Next, we can isolate x by adding 3 to both sides of the equation:
x - 3 + 3 = 8 + 3
This results in:
x = 11
Therefore, the number is 11.