answer:Julio makes a mocktail every evening, so he needs 1 tablespoon of lime juice per day. To extract 1 tablespoon of lime juice, he needs 1/2 = 0.5 limes. After 30 days, he will need 30 x 0.5 = 15 limes. Limes are priced at 3 for 1.00, so Julio will need to buy 15/3 = 5 packs of limes. Each pack of limes is 1.00, so Julio will spend 5 x 1.00 = 5.00 on limes. 5 The answer is: 5

answer:We can see that each term is double the previous term, so the common ratio is 2. To find the first term, we can divide any term by the common ratio raised to the power of its position in the sequence. For example, we can divide the fourth term (32) by 2 raised to the power of 3 (since it is in the third position) to get 32/2^3 = 4. Similarly, we can divide the fifth term (64) by 2 raised to the power of 4 to get 64/2^4 = 4. Therefore, the first term in the sequence is boxed{4}. The answer is: 4

answer:After the first hour, the number of ants doubles to 50 x 2 = 100 ants. After the second hour, the number of ants doubles to 100 x 2 = 200 ants. After the third hour, the number of ants doubles to 200 x 2 = 400 ants. After the fourth hour, the number of ants doubles to 400 x 2 = 800 ants. After the fifth hour, the number of ants doubles to 800 x 2 = 1600 ants. Therefore, there will be 1600 ants in the jar after 5 hours. 1600 The answer is: 1600

answer:To solve this problem, we need to determine the value of x, which represents the speed at which Kyle drives his car in miles per hour. Let's break down the information given: Joseph's speed: 50 mph Joseph's driving time: 2.5 hours Kyle's driving time: 2 hours Joseph drives 1 more mile than Kyle. We can set up the equation as follows: Joseph's speed * Joseph's driving time = Kyle's speed * Kyle's driving time + 1 mile 50 mph * 2.5 hours = x mph * 2 hours + 1 mile Let's simplify and solve for x: 125 miles = 2x + 1 To isolate x, we subtract 1 from both sides of the equation: 125 miles - 1 = 2x + 1 - 1 124 miles = 2x To solve for x, we divide both sides of the equation by 2: 124 miles / 2 = 2x / 2 62 miles = x The value of x is 62. 62 The answer is: 62