Question 1
1 answer:
Answer:
Question 1
The equivalent expression of 16 + 36 is 4 × (4 + 9)
Question 2
The factor missing in the given equation is 6
Question 3
The value of the expression 100.4 ÷ 0.25 is 401.6
Step-by-step explanation:
Question 1
The given expression is 16 + 36
Which can be written in the greatest common factor form as 4 × 4 + 9 × 4
Therefore, the greatest common factor = 4
The expression 16 + 36, can therefore be written as 4 × 4 + 9 × 4 = 4 × (4 + 9)
The equivalent expression of 16 + 36 is 4 × (4 + 9)
Question 2
The given equation is 30 + 12 = ___(5 + 2)
Finding the greatest common factor of the terms 30 and 12, we get;
30 + 12 = 6 × 5 + 6 × 2
Therefore, by factorizing, we get;5
30 + 12 = 6 × 5 + 6 × 2 = 6 × (5 + 2)
30 + 12 = 6 × (5 + 2)
Comparing the above equation to the given equation, we get;
30 + 12 = 6 × (5 + 2)
30 + 12 = ___(5 + 2)
Therefore;
6 × (5 + 2) = ___× (5 + 2)
Therefore, the factor missing in the given equation is 6
Question 3
The given expression, 100.4 ÷ 0.25, can be expressed as follows;
(100 + 0.4)/0.25 = 100/0.25 + 0.4/0.25
Multiplying the expression by 100/100 gives;
100/100 × 100/0.25 + 100/100 × 0.4/0.25 = 10000/25 + 40/25
10000/25 + 40/25 = 400 + = 400 +
=
= 401.6
100.4 ÷ 0.25 = 401.6
The value of the expression 100.4 ÷ 0.25 is 401.6.
You might be interested in
Answer:
See Explanation
Step-by-step explanation:
The question is incomplete, as the box plot is not attached.
However, the interpretation of the question is to determine the inter-quartile range (IQR) ; this represents the middle 50% of scores
To answer this question, I will make use of the attached box plot.
IQR is calculated as:
and
are represented by the vertical edges of the rectangle in the box plot. [See attachment]
Reading and
, we have:
The IQR is:
<em>Hence, the range that describes the middle 50% of the attached plot is 13</em>
