Answer:
Step-by-step explanation:
This problem is similar to many others in which the sum of two quantities and their difference are given. The solution can be found easily when the equations for the relations are written in standard form.
<h3>Setup</h3>
Let s and h represent numbers of sodas and hot dogs sold, respectively. The given relations are ...
- s +h = 235 . . . . . combined total
- s -h = 59 . . . . . . difference in the quantities
<h3>Solution</h3>
Adding the two equations eliminates one variable.
(s +h) +(s -h) = (235) +(59)
2s = 294 . . . . simplify
s = 147 . . . . . .divide by 2
h = 147 -59 = 88 . . . . h is 59 less
147 sodas and 88 hot dogs were sold.
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<em>Additional comment</em>
The solution to a "sum and difference" problem is always the same. One of the numbers is half the sum of those given, and the other is half their difference. ((235-59)/2 = 88)
Answer:
x= 28
Step-by-step explanation:
The angles both sum up to 180°. So, the equation would be: 39+(5x+1)= 180.
Step 1- Add common numbers.
(39+1)+5x= 180
40+5x= 180
Step 2- Subtract 40 to both sides.
40+5x= 180
-40 -40
5x= 140
Step 3- Divide both sides by 5.
<u>5x</u>= <u>140</u>
5 5
x= 28
The point that the graphs of f and g have in common are (1,0)
<h3>How to get the points?</h3>
The given functions are:
f(x) = log₂x
and
g(x) = log₁₀x
We know that logarithm of 1 is always zero.
This means that irrespective of the base, the y-values of both functions will be equal to 0 at x=1
Therefore the point the graphs of f and g have in common is (1,0).
Learn more about graph on:
brainly.com/question/19040584
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Answer:
Number of the peoples were satisfied with the career guidance are 300 .
Step-by-step explanation:
Formula
As given
A survey with a two-point scale was conducted in an organization.
It concluded that 85% of the respondents were unsatisfied with the career guidance they were provided.
If 2,000 people participated in the survey.
Total value = 2000
Percentage = 85%
Putting all the values in the formula
Part value = 1700
i.e
People not satisfied by the career guidance = 1700
People satisfied by the career guidance = Total people participated in survey - People not satisfied by the career guidance .
Putting the values in the above
= 2000 - 1700
= 300
Therefore the number of the peoples were satisfied with the career guidance are 300 .
