Malcolm is trying a very low-carbohydrate diet. he would like to keep the amount of carbs consumed in grams between the levels shown in the following compound inequality:
50 < 2x + 10 and 2x + 10 < 110
solve for x in this inequality, and explain what the answer represents.
1. x < 20 and x > 50; malcolm needs to consume less than 20 grams of carbohydrates or more than 50 grams of carbohydrates.
2. x > 20 and x < 50; malcolm needs to consume more than 20 grams of carbohydrates, but less than 50 grams of carbohydrates.
3. x > 30 and x < 60; malcolm needs to consume more than 30 grams of carbohydrates, but less than 60 grams of carbohydrates.
3. x < 30 and x > 60; malcolm needs to consume less than 30 grams of carbohydrates or more than 60 grams of carbohydrates.

The correct option is 2.

Step-by-step explanation:

The given inequalities are

            .... (1)

           .... (2)

Solve each inequality.

Subtract 10 from each side of inequality (1).

Divide both the sides by 2.

The value of x is more than 20.

Subtract 10 from each side of inequality (2).

Divide both the sides by 2.

The value of x is less than 50.

Since x > 20 and x < 50, therefore Malcolm needs to consume more than 20 grams of carbohydrates, but less than 50 grams of carbohydrates.

Hence the correct option is 2.

+25 = x

step-by-step explanation:

here x is the hypotenuse of a right triangle whose legs are 7 and 24.   by the pythagorean theorem, 7² + 24² must equal x²:

x² = 49 + 576 = 625.   thus, x = +√625 = +25 = x

120 seems like the most sensible answer.

step-by-step explanation:

if there is only one topping on all caramel apples and there's 120 of them. then all apples should/will be covered in sprinkles. make sense?