The correct answer:
Solution
The remaining score is abbreviated as r. We also know that 70 equals 70 + 80 + 90 + r / 4. To solve for r, we can use simple algebra:
70 + 80 + 90 + r / 4 = 70
240 + r / 4 = 70
240 + r = 280
r = 40
Solution 2
Because 90 is 20 more than 70 and 80 is ten more than 70, the other number must be thirty less than 70, or 40, in order for 70 to be the average.
The correct answer:
Adam used to be able to run 15 miles in 3 hours and 30 minutes (3 x 60 + 30 minutes = 210 minutes), resulting in a mile time of 210/15 = 14 minutes. He can now walk 10 miles in 4 hours = 4 x 60 minutes = 240 minutes, resulting in a mile time of 240/10 = 24 minutes. As a result, walking a mile now takes him 10 minutes longer than it did when he was a child.
The correct answer:
We're looking for possible a, b, and c values. By determining the highest common factor of 12 and 15, we can deduce that it's a multiple of b, and since we know it's 3, we can deduce that b is 3. Moving on to a and c, we want to find the smallest such that the least common multiple of a and 3 is 12, which leads to 4. We get 5 in the same way we got 3 and c. Twenty is the least common multiple of four and five.
The correct answer:
Assume that n is the 13th consecutive even integer to be added. Because (n – 2k) +... + (n – 4) + (n – 2) + (n) + (n + 2) + (n + 4) +... +(n + 2k) = 25n, we can see that the sum of all 25 even numbers will reduce to 25n. 25n = 10000, which equals n=400. We want to discover the 25th integer, which is 400 + 2(25 – 13) = 424, keeping in mind that this is the 13th integer.
The correct answer:
The values of the expressions are, in order, 10, 8, 9, 9, and 0.
The correct answer:
As a result, the total number of Mary's marbles must be divisible by three and four.
It has to be a 12th multiple. If she only has 12 marbles, four of them will be blue and three will be red.
She couldn't have 6 green marbles because she only had 5 other marbles. If she has 24 marbles, eight are left.
She could have 6 green marbles and 4 yellow marbles if 6 are blue and 6 are red.
marbles. Mary's fewest number of yellow marbles would be four..
The correct answer:
60 is the least common multiple of the numbers 4, 5, and 6. Numbers that leave an impression
When divided by 4, 5, and 6, the residue is one more than a whole number multiple of 60.
As a result, the smallest positive number larger than 1 that divides to 1 leaves a leftover of 1 is
The sum of 4, 5, and 6 is 61.
The correct answer:
1st Option:
It's preferable to divide the 11 hours and 5 minutes into two pieces, one 11 hours and one 5 minutes. We all know that an hour is divided into 60 minutes. As a result, in 11 hours, there are 11 60 = 660 minutes. 660 + 5 = 665 is the result of adding the second part (the 5 minutes).
2nd Option
When you recall your multiplication tables, you'll have the best way. As a result, our answer of 665 is trivial.
The correct answer:
Each journey took her 60 minutes. The 60 factors are 1, 2, 3, 4, 5, and 6.
10, 12, 15, 20, 30, and 60 are the numbers. Her daily minutes for a mile make a four-part pattern.
numerals where each number is 5 higher than the one before it. These figures must also be accurate.
Because the amount of kilometers traveled must be an integer, each must be a factor of 60. The only one of its kind
The order of the 60 factors is 5, 10, 15, 20, and so on. For the four days, her rates in miles per minute were 1/5, 1/10, 1/15, 1/20
and multiplied by 60 minutes gives her distances in minutes for a total distance of 25 miles as 12, 6, 4, and 3.
