Set up the following equation and solve for x: 13.50(1) + 4.25(2) + 4.60(4) = x(1 + 2 + 4) 13.50 + 8.50 + 18.40 = 7x x = 5.7714 Mike's snack mix costs about $5.77 per pound.
If Will has worked 4 hours per day for 7 days per week, he has worked 4(7) = 28 hours per week. He did this for 2 weeks, so he has worked 28(2) = 56 hours in the 2 weeks. Multiply by 60 to convert this to minutes. 56(60) = 3,360 minutes.
The interest amount is $150, which is the difference between the desired amount and what Ellie originally deposits. You can use the interest formula: I = Prt, where I is interest, P is principal, r is rate, and t is time. Just plug in I = 150, P = 350, and r = 0.08, and solve for t: 150 = 350(0.08)t 28t = 150 t = 5.36 years, or approximately 5 years 4 months.
First, find out how many total calories are in 100% of the recipe: 24(375) = 9,000 calories To find how many calories are in 150% of the recipe, use this equation: x = 9,000 (1.50) x = 13,500
The pattern is the previous number multiplied by 1.5. Therefore, 6 × 1.5 = 9; 9 × 1.5 = 13.5; 13.5 × 1.5 = 20.25; and 20.25 × 1.5 = 30.375.
The pattern is descending increments of 9 followed by the first letter, second letter, third letter, and so on.
Let x = the number of tokens Nick spent on day 1. Set up the following equation and solve for x: x + (x + 5) + (x + 10) + (x + 15) + (x + 20) + (x + 25) + (x + 30) = 203 7x + 105 = 203 x = 14 tokens We know Nick spent 14 tokens on the first day. To find what he spent on the third day, add 10 tokens to get 24 tokens.
Perimeter is equal to two times the length added to two times the width, or 2L + 2W. The total distance traveled around the block is the perimeter, which is 2(length) + 2(width). 2(100) + 2(20) = 200 + 40 = 240 feet Set up a proportion to convert feet to yards. 1 yard = 3 feet x yards = 240 feet 1/3 = x/240 240 = 3x x = 80 yards
First, subtract the cars Edward detailed on Monday. 23 - 3 = 20 Edward has Tuesday, Wednesday, Thursday, Friday, and Saturday left to work, so he has a total of 5 days left. Divide 20 by 5 to find how many cars he must detail each day. 20/5 = 4 cars each day
To solve this problem, first find the number of red candies in the jar by adding the numbers of all the other candies together, then subtracting from the total. 75 orange + 62 blue + 52 green = 189 candies 252 – 189 = 63 red candies Probability is the chance that a certain event will happen. Since there are 63 red candies out of a total of 250 candies, divide 63 by 252. Reduce the fraction by dividing the numerator and denominator by 63. 63/252 ÷ 63/63 = ¼
If Kevin eats 3 pancakes in one minute, you know he eats 3(10) = 30 in 10 minutes. If Kara eats 3 ½ per minute, she eats 3.5(10) = 35 in 10 minutes. Add 30 + 35 = 65 and you have your answer.
The distance from Rachel’s house to her mother’s house is 250 miles, so round-trip, the distance is 500 miles. Plug this into the distance formula: d = rt 500 = 40t 12.5 = t It takes Rachel 12.5 hours to make the round-trip drive. Multiply by 60 to find the answer in minutes. 12.5(60) = 750 minutes.
To get your desired answer of 2(3) + 7 = 13 you will need to find out which mathematical operation you should perform first. Use the acronym PEMDAS (parentheses, exponents, multiplication, division, addition, subtraction) to determine the order of operations. In this problem, perform the multiplication operation first, followed by addition.
2 times the total of x plus y is 2(x + y). From there, use the Distributive Property to multiply the 2 by each term inside the parenthesis. 2(x + y) = 2x + 2y
The absolute value of 5 plus a number equals 10” should be written as |5 + x| = 10. Absolute value means the distance of a number from zero, so whenever you solve for the number inside absolute value bars, you must consider both the positive and negative values. Take away the bars and set the expression equal to both 10 and -10. 5 + x = 10 gives you x = 5, and 5 + x = -10 gives you x = -15. The solution set is x = {-15, 5}.
The absolute value of the quantity two minus seven” should be written as |2 - 7|. Absolute value is the distance of a number from zero, and since distances cannot be negative, absolute values are always positive numbers. To take the absolute value, simplify the expression between the absolute value bars and then take the positive value of it. |2 – 7| = |-5| = 5.
If the sum of the digits of a number is divisible by 3, then the number itself is divisible by 3. 8 + 5 + 0 + 1 + 9 + 4 + 5 + 7 = 39 39 divided by 3 is 13 with no remainders, so the number is divisible by 3.
It is true that if a number is divisible by both 2 and 3, it is also divisible by 6. For example, 108 is divisible by 2 (108 ÷ 2 = 54) and by 3 (1 + 0 + 8 = 9 ÷ 3 = 3), and therefore is also divisible by 6.
