Question
Lori still has 60% of the book to read. If she has read 120 pages, how many pages does she still have to read?
Answers
Bot
Let's first find out what percentage of the book Lori has left to read.
If she has already read 120 pages, that means she has only read 40% of the book (since 100% - 60% = 40%).
To find out how many pages she still has to read, we can set up a proportion:
40/100 = x/60
(We're using proportions because we know that Lori has read 40% of the book and has 60% left to read, so that's the same as saying she has read 40 out of 100 pages and has x number of pages left to read out of a total of 60 pages.)
To solve for x, we can cross-multiply:
40 * 60 = 100 * x
2400 = 100x
Divide both sides by 100:
24 = x
Therefore, Lori still has 24 pages left to read.
If she has already read 120 pages, that means she has only read 40% of the book (since 100% - 60% = 40%).
To find out how many pages she still has to read, we can set up a proportion:
40/100 = x/60
(We're using proportions because we know that Lori has read 40% of the book and has 60% left to read, so that's the same as saying she has read 40 out of 100 pages and has x number of pages left to read out of a total of 60 pages.)
To solve for x, we can cross-multiply:
40 * 60 = 100 * x
2400 = 100x
Divide both sides by 100:
24 = x
Therefore, Lori still has 24 pages left to read.
Ian
Dewayne missed for the 30 problems on the problem set what percent of the problems did Dewayne answer correctly?
Bot
We need to know how many problems Dewayne answered correctly in order to calculate what percent he answered correctly.
If there were 30 problems on the problem set and Dewayne missed some of them, that means he answered 30 minus the number he missed correctly. Let's say he missed 5 problems.
So, Dewayne answered 30 - 5 = 25 problems correctly.
To find the percentage of problems he answered correctly, we can set up a proportion:
25/30 = x/100
(We're using proportions because we know that Dewayne answered 25 out of 30 problems correctly, and we want to find out what percent that is, or x out of 100.)
To solve for x, we can cross-multiply:
25 * 100 = 30 * x
2500 = 30x
Divide both sides by 30:
83.33 = x
Therefore, Dewayne answered 83.33% of the problems correctly.
If there were 30 problems on the problem set and Dewayne missed some of them, that means he answered 30 minus the number he missed correctly. Let's say he missed 5 problems.
So, Dewayne answered 30 - 5 = 25 problems correctly.
To find the percentage of problems he answered correctly, we can set up a proportion:
25/30 = x/100
(We're using proportions because we know that Dewayne answered 25 out of 30 problems correctly, and we want to find out what percent that is, or x out of 100.)
To solve for x, we can cross-multiply:
25 * 100 = 30 * x
2500 = 30x
Divide both sides by 30:
83.33 = x
Therefore, Dewayne answered 83.33% of the problems correctly.
Ian
Dewayne missed four the 30 problems on the problem set what percent of the problems did Dewayne answer correctly?
Bot
If Dewayne missed 4 problems, that means he answered correctly 30 - 4 = 26 problems.
To find the percentage he answered correctly, we can set up a proportion:
26/30 = x/100
(We're using proportions because we know that Dewayne answered 26 out of 30 problems correctly, and we want to find out what percent that is, or x out of 100.)
To solve for x, we can cross-multiply:
26 * 100 = 30 * x
2600 = 30x
Divide both sides by 30:
86.67 = x
Therefore, Dewayne answered 86.67% of the problems correctly.
To find the percentage he answered correctly, we can set up a proportion:
26/30 = x/100
(We're using proportions because we know that Dewayne answered 26 out of 30 problems correctly, and we want to find out what percent that is, or x out of 100.)
To solve for x, we can cross-multiply:
26 * 100 = 30 * x
2600 = 30x
Divide both sides by 30:
86.67 = x
Therefore, Dewayne answered 86.67% of the problems correctly.
Ian
Dewayne missed four the 30 problems on the problem set, what percent of the problems did Dewayne answer correctly? Simplify to the nearest whole number.
Bot
If Dewayne missed 4 problems, that means he answered correctly 30 - 4 = 26 problems.
To find the percentage he answered correctly, we can set up a proportion:
26/30 = x/100
(We're using proportions because we know that Dewayne answered 26 out of 30 problems correctly, and we want to find out what percent that is, or x out of 100.)
To solve for x, we can cross-multiply:
26 * 100 = 30 * x
2600 = 30x
Divide both sides by 30:
86.67 = x
Rounding this to the nearest whole number, we get:
x = 87%.
Therefore, Dewayne answered 87% of the problems correctly.
To find the percentage he answered correctly, we can set up a proportion:
26/30 = x/100
(We're using proportions because we know that Dewayne answered 26 out of 30 problems correctly, and we want to find out what percent that is, or x out of 100.)
To solve for x, we can cross-multiply:
26 * 100 = 30 * x
2600 = 30x
Divide both sides by 30:
86.67 = x
Rounding this to the nearest whole number, we get:
x = 87%.
Therefore, Dewayne answered 87% of the problems correctly.
Ian
Gilbert answered 48 questions correctly this was 4/5 of the questions on the test. How many questions were on the test? What was the ratio of Gilbert's correct answers to his incorrect answers?
Bot
Let's use algebra to solve for the number of questions on the test.
If Gilbert answered 48 questions correctly, and that was 4/5 of the total number of questions on the test, we can set up an equation:
4/5 * total number of questions = 48
To solve for the total number of questions, we can multiply both sides by the reciprocal of 4/5 (which is 5/4):
(total number of questions) = 48 * (5/4)
(total number of questions) = 60
Therefore, there were 60 questions on the test.
To find the ratio of Gilbert's correct answers to his incorrect answers, we need to know how many questions he answered incorrectly.
If he answered 48 questions correctly, and the test had 60 questions in total, that means he answered 60 - 48 = 12 questions incorrectly.
So the ratio of his correct answers to his incorrect answers is:
48:12
Simplifying this ratio by dividing both sides by 12, we get:
4:1
Therefore, Gilbert answered 4 questions correctly for every 1 question he answered incorrectly.
If Gilbert answered 48 questions correctly, and that was 4/5 of the total number of questions on the test, we can set up an equation:
4/5 * total number of questions = 48
To solve for the total number of questions, we can multiply both sides by the reciprocal of 4/5 (which is 5/4):
(total number of questions) = 48 * (5/4)
(total number of questions) = 60
Therefore, there were 60 questions on the test.
To find the ratio of Gilbert's correct answers to his incorrect answers, we need to know how many questions he answered incorrectly.
If he answered 48 questions correctly, and the test had 60 questions in total, that means he answered 60 - 48 = 12 questions incorrectly.
So the ratio of his correct answers to his incorrect answers is:
48:12
Simplifying this ratio by dividing both sides by 12, we get:
4:1
Therefore, Gilbert answered 4 questions correctly for every 1 question he answered incorrectly.
Ian
Gilbert answered 48 questions correctly this was 4/5 of the questions on the test. How many questions were on the test?
Bot
If Gilbert answered 48 questions correctly, and this was 4/5 of the total number of questions on the test, we can set up an equation:
48 = (4/5)x
where x is the total number of questions on the test.
To solve for x, we can start by multiplying both sides by the reciprocal of 4/5, which is 5/4:
48 * (5/4) = x
Simplifying the left side:
60 = x
Therefore, there were 60 questions on the test.
48 = (4/5)x
where x is the total number of questions on the test.
To solve for x, we can start by multiplying both sides by the reciprocal of 4/5, which is 5/4:
48 * (5/4) = x
Simplifying the left side:
60 = x
Therefore, there were 60 questions on the test.
Ian
Gilbert answered 48 questions correctly this was 4/5 of the questions on the test. What was the ratio of Gilbert's correct answers to his incorrect answers?
Bot
To find the ratio of Gilbert's correct answers to his incorrect answers, we need to know how many questions he answered incorrectly.
If Gilbert answered 48 questions correctly, and the test had 60 questions in total, then he must have answered 60 - 48 = 12 questions incorrectly.
So the ratio of his correct answers to his incorrect answers is:
48 : 12
To simplify this ratio, we can divide both sides by the greatest common factor, which is 12:
48 ÷ 12 : 12 ÷ 12
4 : 1
Therefore, the ratio of Gilbert's correct answers to his incorrect answers is 4:1.
If Gilbert answered 48 questions correctly, and the test had 60 questions in total, then he must have answered 60 - 48 = 12 questions incorrectly.
So the ratio of his correct answers to his incorrect answers is:
48 : 12
To simplify this ratio, we can divide both sides by the greatest common factor, which is 12:
48 ÷ 12 : 12 ÷ 12
4 : 1
Therefore, the ratio of Gilbert's correct answers to his incorrect answers is 4:1.
Ian
-3 plus 4 minus -5
Bot
-3 + 4 - (-5)
= -3 + 4 + 5
= 6
Therefore, -3 plus 4 minus -5 equals 6.
= -3 + 4 + 5
= 6
Therefore, -3 plus 4 minus -5 equals 6.
Ian
-18 - 20 + -7
Bot
-18 - 20 + (-7)
= -18 - 20 - 7
= -45
Therefore, -18 - 20 + -7 equals -45.
= -18 - 20 - 7
= -45
Therefore, -18 - 20 + -7 equals -45.
Ian
(-12)(-9)
Bot
(-12)(-9)
= 108
Therefore, (-12)(-9) equals 108.
= 108
Therefore, (-12)(-9) equals 108.
Ian
3 and 1/2 * 3 and 1/2
Bot
To multiply mixed numbers, we need to convert them into improper fractions:
3 and 1/2 = 7/2
Now we can rewrite the expression:
3 and 1/2 * 3 and 1/2 = (7/2) * (7/2)
To multiply fractions, we simply multiply the numerators together and the denominators together:
(7/2) * (7/2) = (7 * 7) / (2 * 2) = 49/4
Now we can convert the improper fraction back into a mixed number:
49/4 = 12 and 1/4
Therefore, 3 and 1/2 * 3 and 1/2 equals 12 and 1/4.
3 and 1/2 = 7/2
Now we can rewrite the expression:
3 and 1/2 * 3 and 1/2 = (7/2) * (7/2)
To multiply fractions, we simply multiply the numerators together and the denominators together:
(7/2) * (7/2) = (7 * 7) / (2 * 2) = 49/4
Now we can convert the improper fraction back into a mixed number:
49/4 = 12 and 1/4
Therefore, 3 and 1/2 * 3 and 1/2 equals 12 and 1/4.
Ian
12 1/4 - (5 - 3.4) (decimal answer)
Bot
Simplifying inside the parentheses first:
5 - 3.4 = 1.6
Now we can substitute this back into the expression:
12 1/4 - (5 - 3.4) = 12 1/4 - 1.6
Converting the mixed number to an improper fraction:
12 1/4 = (4 * 12 + 1) / 4 = 49/4
Substituting back into the expression:
49/4 - 1.6
To subtract these two numbers, we need a common denominator. Multiplying 1.6 by 4/4 gives:
49/4 - (1.6 * 4/4) = 49/4 - 6.4/4
Now we can subtract the numerators:
49/4 - 6.4/4 = 42.6/4
Simplifying the fraction:
42.6/4 = 10.65
Therefore, 12 1/4 - (5 - 3.4) equals 10.65.
5 - 3.4 = 1.6
Now we can substitute this back into the expression:
12 1/4 - (5 - 3.4) = 12 1/4 - 1.6
Converting the mixed number to an improper fraction:
12 1/4 = (4 * 12 + 1) / 4 = 49/4
Substituting back into the expression:
49/4 - 1.6
To subtract these two numbers, we need a common denominator. Multiplying 1.6 by 4/4 gives:
49/4 - (1.6 * 4/4) = 49/4 - 6.4/4
Now we can subtract the numerators:
49/4 - 6.4/4 = 42.6/4
Simplifying the fraction:
42.6/4 = 10.65
Therefore, 12 1/4 - (5 - 3.4) equals 10.65.
Ian
2 2/3 * 4.5 / 6 (fraction answer)
Bot
To multiply these two fractions, let's first convert the mixed number to an improper fraction:
2 2/3 = (3 * 2 + 2) / 3 = 8/3
Now we can rewrite the expression:
2 2/3 * 4.5 / 6 = (8/3) * (4.5/6)
Let's simplify both fractions by canceling out any common factors between the numerator and the denominator:
8/3 = (2 * 2 * 2) / (3 * 1 * 1)
4.5/6 = (9/2) / (2 * 3/2)
Now we can multiply the two fractions:
(2 * 2 * 2 * 9) / (3 * 1 * 1 * 2 * 3/2) = 24/3
Simplifying the fraction:
24/3 = 8
Therefore, 2 2/3 * 4.5 / 6 equals 8 when written as a fraction.
2 2/3 = (3 * 2 + 2) / 3 = 8/3
Now we can rewrite the expression:
2 2/3 * 4.5 / 6 = (8/3) * (4.5/6)
Let's simplify both fractions by canceling out any common factors between the numerator and the denominator:
8/3 = (2 * 2 * 2) / (3 * 1 * 1)
4.5/6 = (9/2) / (2 * 3/2)
Now we can multiply the two fractions:
(2 * 2 * 2 * 9) / (3 * 1 * 1 * 2 * 3/2) = 24/3
Simplifying the fraction:
24/3 = 8
Therefore, 2 2/3 * 4.5 / 6 equals 8 when written as a fraction.
Ian
√2 * 2 * 3 * 3 * 3 * 3 * 5 * 5
Bot
Let's simplify this expression by first multiplying all the numbers together:
2 * 3 * 3 * 3 * 3 * 5 * 5
= 2 * 3^4 * 5^2
Now we can simplify the square root of 2, using the property that the square root of a product equals the product of the square roots:
√2 * 2 * 3^4 * 5^2
= √(2 * 2 * 3^4 * 5^2)
= √(9000)
= 30√2
Therefore, √2 * 2 * 3 * 3 * 3 * 3 * 5 * 5 simplifies to 30√2.
2 * 3 * 3 * 3 * 3 * 5 * 5
= 2 * 3^4 * 5^2
Now we can simplify the square root of 2, using the property that the square root of a product equals the product of the square roots:
√2 * 2 * 3^4 * 5^2
= √(2 * 2 * 3^4 * 5^2)
= √(9000)
= 30√2
Therefore, √2 * 2 * 3 * 3 * 3 * 3 * 5 * 5 simplifies to 30√2.
Ian
3 * 3 + 5 * [6 - (10 - 2 * 2 * 2)]
Bot
We should simplify the expression inside the parentheses first:
10 - 2 * 2 * 2 = 10 - 8 = 2
Now we can substitute this value back into the expression:
3 * 3 + 5 * [6 - (10 - 2 * 2 * 2)] = 3 * 3 + 5 * [6 - 2]
= 3 * 3 + 5 * 4
= 9 + 20
= 29
Therefore, 3 * 3 + 5 * [6 - (10 - 2 * 2 * 2)] equals 29.
10 - 2 * 2 * 2 = 10 - 8 = 2
Now we can substitute this value back into the expression:
3 * 3 + 5 * [6 - (10 - 2 * 2 * 2)] = 3 * 3 + 5 * [6 - 2]
= 3 * 3 + 5 * 4
= 9 + 20
= 29
Therefore, 3 * 3 + 5 * [6 - (10 - 2 * 2 * 2)] equals 29.