The product of 10 and the sum of a number and −1

Question

is negative −40
. Find the number.(1 point)
Responses

−5
negative 5

−3
negative 3

5
5

3

Answer 1

To solve this problem, let's assign a variable to represent the unknown number. Let's call it "x".

We are given that the product of 10 and the sum of the unknown number and -1 is -40.

So, we can write the equation as:
10(x + (-1)) = -40

Simplifying the equation:
10(x - 1) = -40

Now, let's distribute the 10:
10x - 10 = -40

Next, let's isolate the variable by adding 10 to both sides of the equation:
10x - 10 + 10 = -40 + 10
10x = -30

Finally, divide both sides of the equation by 10 to solve for x:
10x/10 = -30/10
x = -3

Therefore, the number is -3.

Answer 2

There is a 25 cent discount per apple if 4 are purchased. Eve was making apple pie this weekend and bought 12 apples for $15. To find the original price of each apple, which represents the equation to solve the problem algebraically?(1 point)
Responses

12(x−0.25)=15
12 left parenthesis x minus 0.25 right parenthesis equals 15

3(x−0.25)=15
3 left parenthesis x minus 0.25 right parenthesis equals 15

12(x+0.25)=15
12 left parenthesis x plus 0.25 right parenthesis equals 15

3(x+0.25)=15

Answer 3

To solve this problem, let's assign a variable to represent the original price of each apple. Let's call it "x".

We are given that there is a 25 cent discount per apple if 4 are purchased, and Eve bought 12 apples for $15.

So, we can write the equation as:
12(x - 0.25) = 15

Simplifying the equation:
12x - 3 = 15

Next, let's isolate the variable by adding 3 to both sides of the equation:
12x - 3 + 3 = 15 + 3
12x = 18

Finally, divide both sides of the equation by 12 to solve for x:
12x/12 = 18/12
x = 1.5

Therefore, the original price of each apple is $1.50.

The correct equation that represents the problem algebraically is:
12(x - 0.25) = 15