The sign that would make the statement true is the division sign which would then make the full expression, (3 × 7) ÷ 21 = 1.
<h3>How to find the sign?</h3>
The statement given is (3 × 7) 21 = 1. There is therefore a need to find the sign that would be between the brackets and "21" which would lead to the answer being 1.
The brackets have to be solved first according to the PEMDAS rule which calls for parenthesis being solved first.
Solving the expression in the brackets gives:
= 3 x 7
= 21
We therefore need a sign that when related to 21 would give the result, 1.
The only sign that can relate 21 to 21 such that the answer would be 1, is division:
= 21 / 21
= 1
In conclusion, the sign that would make the statement true is a division sign.
Find out more on mathematical signs at brainly.com/question/24034494
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Answer:
21 weeks
Step-by-step explanation:
In this question, we are to use proportionality to find the solution to the question.
We were made to know that the time taken to build the highway is varied directly with the length and inversely with the number of workers.
Let us make a mathematical representation for this.
Let the time be t, number of workers be w and length be l
t is directly proportional to l and inversely proportional to w
Mathematically;
t = kl/w
Where k is the constant of proportionality.
Let’s find the value of k
150 workers built 12 miles of highway in 14 weeks ; plug these in the equation to get k
14 = k * 12/150
k = 150 * 14/12 = 175
Now we want to get t given w and l
from ;
t = kl/w
We can get t; where l = 15 and w = 125
t = 175 * 15/125
t = 21 weeks
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Answer:
d. does not exist
Step-by-step explanation:
The given limits are;
, and
We want to find
By the properties of limits, we have;
This gives us;
Division by zero is not possible. Therefore the limit does not exist.