# Category «Middle School»

## If opposite angles of a rhombus are (2x)° and (3x – 40)°, then the value of x is

If opposite angles of a rhombus are (2x)° and (3x – 40)°, then the value of x is ____. (A) 100° (B) 80° (C) 160° (D) 40° Answer:  2x = 3x – 40 … [Pythagoras theorem] ∴ opposite angles of rhombus are equal. x = 40°

## At a movie theater, a large popcorn cost \$8.00 and small drinks cost \$3.75 each.

Math Question: At a movie theater, a large popcorn cost \$8.00 and small drinks cost \$3.75 each. If you buy d drinks and a large popcorn, what expression would represent your bill? Explanation: Add 8.00 and 3.75 You get 11.75 since U don’t know how much it is for the drink, then U put d …

## Becky and Keith run for exactly 20 minutes on a treadmill keith’s treadmill said he had run 10,000 ft.

Math Question: Becky and Keith run for exactly 20 minutes on a treadmill keith’s treadmill said he had run 10,000 ft. Becky’s treadmill had said she had run 2 miles who ran farther and how much farther?​ Explanation: 1 mile = 5280 ft Becky: 2 * 5280 = 10560 ft Keith: 10000 ft 10560 ft …

## Amparo invested a certain amount at 10% simple interest per year . After 2 years, the interest she received amounted to P3,000.

Math Question: Amparo invested a certain amount at 10% simple interest per year . After 2 years, the interest she received amounted to P3,000. How much she invest? Explanation: I=Prt 3000=P(10%)(2) 3000=P(0.1)(2) 3000=0.2P 3000/0.2=0.2P/0.2 15000=P

## What is the value of 1/2 + (-5/6) +1/4?

Math Question: What is the value of 1/2 + (-5/6) +1/4? A. -7/12 B. – 1/12 C. 1/12 D. 1 7/12​ Step by step soluiton: Let’s diversify the denominators. 1/2  = 6/12 (-5/6) = (-10/12) 1/4 = 3 / 12 Finally we must sum  1 + (-5) + 3 = -1 Answer is = -1 …

## Indicate in standard form the equation of the line through the given points. P(0, -4), Q(5, 1)

Math Question: Indicate in standard form the equation of the line through the given points. P(0, -4), Q(5, 1). Step by step solution:  (y+4)/(1+4) = x/5 (y+4)/5 = x/5 y+4 = x -x+y= -4 x-y = 4

## Andy buys a new car for \$23,540. He estimates that the car will decrease in value by about 5% each year.

Math Question: Andy buys a new car for \$23,540. He estimates that the car will decrease in value by about 5% each year. Which of the following functions best models this situation?   Step by step solution: We turn 5% into a decimal which is 0.05 and we add x to it so we can …

## Pens and pencils are sold in a shop. 12 pencils cost £1.80.

Math Question: Pens and pencils are sold in a shop. 12 pencils cost £1.80. The ratio of the cost of a pen to the cost of a pencil is 7: 3. Workout the cost of 5 pen? Solution:  Let’s find the 1 pencil’s cost. £1.80 divided by 12 pencils = £0.15 £0.15 times 7 = £1.05 …

## How much is a 20% tip on a meal that cost \$42.60​

Math Question: How much is a 20% tip on a meal that cost \$42.60​ Solution: Firstly, I want to say the answer is not \$8.52. Because, the question sait that “20% tip on a meal that cost \$42.50​”. So,  tip is included in the cost.  Tip + account = \$42.50.  Let’s look the solution step …