Partition the model to prove that the following number sentence is true 2/5 + 4/10
Answers
Final answer:
In order to prove the sentence 2/5 + 4/10, a partitioned model could be used. Here, 2/5 equates to 4 out of 10 parts and 4/10 equates to 4 out of 10 parts. Adding these provides a total of 8 out of 10 parts, thereby proving the sentence is true.
Explanation:
To prove the number sentence 2/5 + 4/10 is true using a partitioned model, you need to start by understanding that fraction addition involves just combining the fractions. If you partitioned a model into 10 equal parts representing 1 whole, 2/5 would be 4 parts and 4/10 would be 4 parts. Adding these together 4parts (being 2/5) + 4parts (being 4/10) makes 8 parts. Since 1 whole is made up of 10 parts, 8 parts equate to 8/10 or 0.8. Therefore, 2/5 + 4/10 = 0.8 or 8/10 validating the sentence as true.
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F(x) = 2x2 + 1 what is f(x) when x = 3 ?
Answers
IF A CHICKEN FARM SOLD 3,000 DOZEN EGGS LAST WEEK HOW MANY INDIVIDUAL EGGS WERE SOLD?
Answers
The chicken farm sold 36,000 individual eggs last week. In common usage, a dozen refers to a group of 12 items. For example, when you buy a dozen eggs, you get 12 eggs in the package.
1. The chicken farm sold 3,000 dozen eggs:
This means that the chicken farm sold 3,000 groups of 12 eggs each.
2. Finding the total number of individual eggs:
To find the total number of individual eggs sold, we need to multiply the number of dozens by 12 (since there are 12 eggs in a dozen).
Mathematically, we represent this as:
Total number of individual eggs = Number of dozen eggs × 12
Substitute the given value of "3,000 dozen eggs" into the formula:
Total number of individual eggs = 3,000 dozen × 12
Now, perform the multiplication:
Total number of individual eggs = 36,000 eggs
Therefore, the chicken farm sold 36,000 individual eggs last week.
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Answers
Answer:
.88
Step-by-step explanation:
We can use this equation:
Where:
- N is the increase factor (N=512)
- R is the reduce factor (R=8)
- D is the dimension
We just need to solve it for D
.88
Therefore the dimension will be 3
I hope it helps you!
Answer:
The dimension is 4
Step-by-step explanation:
Using the equation
N = R^d
Where,
N is the increase factor = 512
R is the reduce factor = 8
d is the dimension
512 = 5^d
Solving by logarithm
1log 512 = d log 5
D = log 512 ÷ log 5
= 3.87
Approximately 4
3
B.
2
C.
-0.5
D.
-3
Answers
Answer:
3
Step-by-step explanation:
Given :
To Find: What is the coefficient of x in the division
Solution:
On Dividing we
Quotient = 3x+2
Remainder = -3x
So, coefficient of x in quotient = 3
Thus the coefficient of x in the division is 3
Hence Option A is correct
Answers
Answer:
a. 16
Step-by-step explanation:
area of a triangle=1/2(bh). In this case, b=10 and h=3 1/5
multiply 10 and 3 1/5 to get 32
multiply 32 by 1/2 to get 16.
Answers
The required week that had greater variability in high temperature is week 2.
Given that,
The first week had a mean high temperature of 8 degrees Celsius and a mean absolute deviation (MAD) of 1 degree Celsius.
The second week had a mean high temperature of 4.86 degrees Celsius and a mean absolute deviation (MAD) of 1.91 degrees Celsius.
What is Statistic?
Statistics is the study of mathematics that deals with relations between comprehensive data.
Here,
The system of observation that has a higher mean absolute deviation, will have the chance of greater variability in high temperature. So,
mean absolute deviation of week 1 = 1
mean absolute deviation of week 2 = 1.91
MAD of week 2 > MAD of week 1
Thus, the required week that had greater variability in high temperature is week 2.
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Answer:
mean 4.86
MAD = 1.91
Step-by-step explanation: