For this case we have the following expression:
From here, we must clear the value of a.
We then have the following steps:
Place the terms that depend on a on the same side of the equation:
Do common factor "a":
Clear the value of "a" by dividing the factor within the parenthesis:
Answer:
The clear expression for "a" is given by:
Attached
Step-by-step explanation:
From the question x is the number of stools and y is the number of recliners
Given that the coffee shop can hold no more than 50, then the inequality for number of seats will be;
x+y≤ 50
Also, the owner wants at least 20 of the seats to be stools, this can be written as;
x≥20
Using a graph tool to visualize the inequalities, you get the attached graph;
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Inequalities graph : brainly.com/question/11234618
Keyword : graph, inequalities
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Answer:
<h2>{5}</h2>
Step-by-step explanation:
Answer:
y=7600(5^(t/22))
Step-by-step explanation:
This is going to be an exponential function as it grows rapidly.
This type of question can be solved using the formula y=a(r^x), where a is the inital amount, r the factor by which the amount increases and x is the unit of time after which the amount increases.
x=t/22
a=7600
r=5
∴y=7600(5^(t/22))
Answer:
There were 172 guests that were children and 278 guests that were adults
Step-by-step explanation:
Step 1: State what is known
It is $25 per adult
It is $12 per child
The made $9014 dollars
There were 450 guests
Step 2: Define equations
25y + 12x = 9014 -----1
x + y = 450 ------------2
Step 3: Rearrange equation 2 for x
x + y = 450
x = 450 - y --------------3
Step 4: Substitute 3 into 1 for y and solve for y
25y + 12(450 - y) = 9014
25y + 5400 - 12y = 9014
13y = 3614
y = 3614/13
y = 278
Step 5: Substitute y = 278 into 3 to solve for x
x = 450 - (278)
x = 172
Therefore 172 children and 278 adults visited the museum
