Half the sum of a number and 10 is 8. Find the number.(1 point) Responses 3 3 6 6 2 2 -2 -2

7 answers

To solve this problem, we can set up an equation. Let's represent the number as "x".

The given information states that half the sum of a number and 10 is 8. This can be written as:

(1/2)(x + 10) = 8

We can now solve for x by multiplying both sides of the equation by 2 to eliminate the fraction:

x + 10 = 16

Subtracting 10 from both sides, we have:

x = 6

Therefore, the number is 6.
6 of 96 of 9 Items Question John buys 8 packs of cookies at the grocery store. The cookies are on sale for 50 cents off per pack. He spends $20. Which equation can be used to find the original cost of a box of cookies, c?(1 point) Responses 8(c+0.50)=20 8 times open paren c plus 0 point 5 0 close paren is equal to 20 8c−0.50=20 8 c minus 0 point 5 0 is equal to 20 8(c−0.50)=20 8 times open paren c minus 0 point 5 0 close paren is equal to 20 8−0.50c=20
The correct equation that can be used to find the original cost of a box of cookies is:

8(c - 0.50) = 20
Question Consider this equation: 4(3x−2)=−24 Part 1. What is your first step in solving this equation? Remember, there is more than one way to solve this equation. Part 2. How would you isolate the variable and solve for x after you have completed Part 1? You do not need to solve the problem. Simply, describe your process. **Please label Part 1 and Part 2 in your answer.**
Part 1: The first step in solving the equation 4(3x - 2) = -24 is to distribute the 4 to the terms inside the parentheses. This can be done by multiplying 4 by both 3x and -2.

Part 2: After distributing the 4, the equation becomes 12x - 8 = -24. To isolate the variable x, we would need to isolate the term with x on one side of the equation.

We can start by adding 8 to both sides of the equation, which gives us 12x = -16. Next, we divide both sides of the equation by 12 to solve for x.

The final step would be to simplify the equation and obtain the value of x.
how many steps did you put?
I put two steps in my response. Step 1 was to distribute the 4 to the terms inside the parentheses, and Step 2 was to isolate the variable x by adding 8 to both sides and then dividing by 12.