What property is shown?
9.5 + 6.1 + 2.3 = 9.5 + 2.3 + 6.1
5.1(7.4 - 3.1) = 5.1(7.4) - 5.1(3.1)
Round to the nearest tenth
1.58 (divided by) 1.1
Change each measurement to the given unit
5.17 kL = _ km
2km 7 m = _ km
Find each product mentally using the distributive property
3(98)
Simplify
-3 +5
-4 - 9
48 (divided by) (-3)
What is the median weight 3.5lb,3.8lb,4.2 lb, and 3.5 lb.
Suppose you ride your bicycle a distance of 257.5 mi in a beefit ride. How many miles must you average each day to finish the ride in 4.5 days?
When finding an average the sign of the quotient always depends on the sign of the dividend. Explain why.
Find the mean and median 45,56,134,55,78,121,38,66,56,41.
OK so this is a lot of stuff the reason im asking this is so i can study for a test PLEASE feel free to explain some of this and i do not expect anyone to do all of these thanks for the help guys
The best way for you to study for your test is to post your answers.
We'll be glad to check them.
No problem, I'll help you with these questions. Let's start with the first question:
1. What property is shown?
To determine the property shown in the given equations, we need to compare the two sides of each equation. In the first equation, both sides are equal. This is an example of the commutative property of addition. In the second equation, the right side can be simplified by applying the distributive property. The left side and the simplified right side are equal. This is an example of the distributive property.
2. Round to the nearest tenth
To round to the nearest tenth, you look at the digit in the hundredth place and determine whether to round up or down based on whether that digit is 5 or greater. In the given question, 1.58 divided by 1.1, performing the division gives us 1.4363636.... To round it to the nearest tenth, we round it to 1.4.
3. Change each measurement to the given unit
To change from one unit to another, we need to use conversion formulas or conversion factors. Without the given units for conversion, it's difficult to provide a specific answer. However, the general procedure is to use the conversion factor that relates the two units and multiply or divide accordingly.
4. Find each product mentally using the distributive property
To find each product mentally using the distributive property, we need to break down each number into its components and then multiply. For example, in the expression 3(98), we can break down 98 into 90 + 8 and distribute the 3 to each component: (3 * 90) + (3 * 8) = 270 + 24 = 294.
5. Simplify
-3 + 5 = 2
-4 - 9 = -13
48 divided by (-3) = -16
6. What is the median weight?
To find the median weight, you need to arrange the weights in ascending order and then find the middle value. In this case, arranging the weights in ascending order gives us 3.5 lb, 3.5 lb, 3.8 lb, and 4.2 lb. The median weight is the middle value, which is 3.8 lb.
7. Suppose you ride your bicycle a distance of 257.5 mi in a benefit ride. How many miles must you average each day to finish the ride in 4.5 days?
To find the average miles you need to ride each day, divide the total distance by the total number of days: 257.5 mi / 4.5 days = 57.2 mi/day. Therefore, you must average approximately 57.2 miles per day to finish the ride in 4.5 days.
8. When finding an average, the sign of the quotient always depends on the sign of the dividend. Explain why.
When finding an average, you divide the total value (dividend) by the number of values (divisor), which gives you the quotient. The sign of the dividend represents the overall outcome or direction, such as positive or negative. So when dividing the dividend by the divisor, the sign of the dividend is carried over to the quotient. This is because the dividend determines the overall direction or sign of the average.
9. Find the mean and median
To find the mean of a set of numbers, add up all the numbers and divide by the total count. In this case, adding the given numbers gives us 45 + 56 + 134 + 55 + 78 + 121 + 38 + 66 + 56 + 41 = 690. Dividing 690 by the count of numbers (10) gives us a mean of 69.
To find the median of the given set, we need to arrange the numbers in ascending order: 38, 41, 45, 55, 56, 56, 66, 78, 121, 134. The median is the middle value, so in this case, the median is 56.
I hope this explanation helps you study for your test! Feel free to ask if you have any further questions. Good luck!