3658
Kellianne drives 118 miles each day. How many miles does she drive in 31 days? For this, enter only a number in the answer box for this to score correctly.
11 answers
To compare the lengths of the trails, we first convert each mixed number to an improper fraction:
- Trail A: \( 5 \frac{9}{10} = \frac{59}{10} \)
- Trail B: \( 5 \frac{1}{7} = \frac{36}{7} \)
- Trail C: \( 5 \frac{5}{9} = \frac{50}{9} \)
Next, we find a common denominator to compare these fractions. The least common multiple (LCM) of 10, 7, and 9 is 630.
Now we convert each fraction:
-
Trail A:
\[ \frac{59}{10} = \frac{59 \times 63}{10 \times 63} = \frac{3717}{630} \] -
Trail B:
\[ \frac{36}{7} = \frac{36 \times 90}{7 \times 90} = \frac{3240}{630} \] -
Trail C:
\[ \frac{50}{9} = \frac{50 \times 70}{9 \times 70} = \frac{3500}{630} \]
Now we have:
- Trail A: \( \frac{3717}{630} \)
- Trail B: \( \frac{3240}{630} \)
- Trail C: \( \frac{3500}{630} \)
Now, we order them from shortest to longest:
- Trail B: \( \frac{3240}{630} \)
- Trail C: \( \frac{3500}{630} \)
- Trail A: \( \frac{3717}{630} \)
So, the correct order from shortest to longest is B, C, A.
To determine the error made by Darko, let's correctly add 324 and 57 together:
324
+ 57
-----
Starting from the right:
- Ones place: \(4 + 7 = 11\). Write down 1 and carry over 1.
- Tens place: \(2 + 5 + 1 (carry) = 8\).
- Hundreds place: \(3 + 0 = 3\).
So, the correct sum is:
324
+ 57
-----
381
Darko's result was \(894\), which is incorrect.
The possible reasons given do not indicate an addition error; they are more about how he set up or calculated the problem. However, it seems most likely that Darko did not align the digits by their place value when he set up the problem.
Thus, the correct response is: Darko did not align the digits by their place value when he set up the problem.
To find the quotient of \(6196 \div 6\), let's perform the division step by step.
- Divide the first digit (6) by 6: \(6 \div 6 = 1\) (write down 1)
- Multiply \(1 \times 6 = 6\) and subtract from the first digit: \(6 - 6 = 0\).
- Bring down the next digit (1): The number now is 01.
- Divide 01 by 6: \(0 \div 6 = 0\) (write down 0)
- Multiply \(0 \times 6 = 0\) and subtract: \(1 - 0 = 1\).
- Bring down the next digit (9): The number now is 19.
- Divide 19 by 6: \(19 \div 6 = 3\) (write down 3)
- Multiply \(3 \times 6 = 18\) and subtract: \(19 - 18 = 1\).
- Bring down the last digit (6): The number now is 16.
- Divide 16 by 6: \(16 \div 6 = 2\) (write down 2)
- Multiply \(2 \times 6 = 12\) and subtract: \(16 - 12 = 4\).
Now we have:
- Quotient = \(1032\)
- Remainder = \(4\)
So the final result is: 1,032 R4.
To calculate how much money Leilani made in one week, you multiply her hourly wage by the number of hours she worked.
Leilani's hourly wage is $11, and she worked 40 hours.
Calculating her weekly earnings:
\[ 11 , \text{dollars/hour} \times 40 , \text{hours} = 440 , \text{dollars} \]
Therefore, Leilani made $440 that week.
To find the result of subtracting 125 from 400, you perform the calculation:
\[ 400 - 125 \]
Calculating this:
\[ 400 - 125 = 275 \]
So the result is 275.