A student performs the following estimations.
26+180210
115+391510
497+20242520
Based on these estimations, which of the following is the student’s estimate of 545+7501?
8030
8060
8160
8050
Correct Answer : D
From the given estimations, we can find the exact sum after adding the given numbers and see the trend the student utilizes to find their estimates. The actual sum is as follows
26+180=206
115+391=506
497+2024=2521
From the above evaluation, the students round the exact sum to the nearest tens. So, in the problem we need to approximate 545+7501.
545+7501=8046
The exact sum is 8046 and the approximate value after rounding to the nearest tens is 8050.
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Related Questions
Correct Answer is D
Explanation
correlations fall into positive, negative, and no correlation. A positive correlation shows that an increase in one variable increase results in an increase on the other variable increases as shown.
A negative correlation scatter plot shows that an increase in one variable results in a decrease on the other one.
The no-correlation scatter plot demonstrates that there is no response between variables. A change in one variable has no effect on the other variable.
Looking at the provided scatter plot, the heights of the students does not have any relationship on the students’ scores. Thus, the type of correlation is no correlation.
Correct Answer is C
Explanation
We know that 1 L =1000 mL, which we use to convert between the two units. The conversion fractions of interconverting are:
And
Since we want to end up with millimeters, the second conversion is used in converting L to mL as:
Thus, 3.2 L is equivalent to 3200 mL.
Correct Answer is C
Explanation
Explanation: We know that 1 L=1000 mL and to change between L and mL we use the following two options
Correct Answer is A
Explanation
To form an equation from the word problem, first break the given statement into smaller statements.
First, we are given the width of the rectangle as x. We are told, the length is two times width. Mathematically, this means
Length=2*width=2*x=2x
Now, the length is 6 less than 2 times width of the rectangle. Thus, the length of rectangle in terms of width becomes:
Length =2x-6
Thus, the length of the rectangle is 2x-6.
Correct Answer is D
Explanation
The babies' measured weights change over time and depend on the time interval after birth. Since weight is the outcome being measured, it is the dependent variable in the study.
Correct Answer is B
Explanation
: a ratio can be thought of a fraction of the form a/b, where b is not equal to zero. In ratio form, to means per.
Now, the class has 26 girls and 22 boys. Thus, the ratio of girls to boys becomes:
The fraction above reduces into
In ratio form, girls: boys=13:11
Thus, the ratio of girls to boys in a class of 48 students is 13 to 11.
Correct Answer is D
Explanation
From the given estimations, we can find the exact sum after adding the given numbers and see the trend the student utilizes to find their estimates. The actual sum is as follows
26+180=206
115+391=506
497+2024=2521
From the above evaluation, the students round the exact sum to the nearest tens. So, in the problem we need to approximate 545+7501.
545+7501=8046
The exact sum is 8046 and the approximate value after rounding to the nearest tens is 8050.
Correct Answer is A
Explanation
: In order to solve for the value of x, we use the order of operations as follows:
The first step is to divide both sides by 3
Add 2 to both sides to eliminate it from the left-hand side of the equation
x-2+2=4+2
x = 6
Thus, the value of x is 6.
Correct Answer is A
Explanation
To solve the equation this equation, we use a calculator and find the product as:
3.45 * 0.53= 1.8285
Correct Answer is B
Explanation
An independent variable is a variable that when changed result in a change to other variables under investigation. From the given scenario, if the stock of the company increases, then the production, sales, and investment increase. Therefore, stock is the independent variable while other variables are dependent.
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