Answer:
90 muffins
Step-by-step explanation:
You can write and solve the equation ...
36 = 40% × total muffins
Dividing by 40% = 0.40, we find ...
36/0.40 = total muffins = 90
The baker makes 90 muffins on Monday.
<u>Note: The only way to solve this problem is by adjusting the fees to $3.50 and $7.50.</u>
Answer:
<em>1300 children attended the basketball game</em>
Step-by-step explanation:
System of Equations
Let's call:
x = number of children attending the basketball game
y = number of adults attending the basketball game
On a certain night, 1500 people enter the game, thus:
x + y = 1500 [1]
Since each admission fee for children cost $3.50 and $7.50 for adults and it was collected $6050, thus:
3.50x + 7.50y = 6050 [2]
From [1]:
y = 1500 - x
Substituting in [2]:
3.50x + 7.50(1500 - x) = 6050
Operating:
3.50x + 11250 - 7.50 = 6050
-4x = 6050 - 11250
Solving:
x = 1300
1300 children attended the basketball game
Answer:
Step-by-step explanation:
1)x/4.1=-2
2)multiplyby 4.1 on both sides x/4.1*4.1=-2*4.1
3) x=-8.2
Answer:
<h2>
f⁻¹(x) = ∛(x+1)</h2>
Step-by-step explanation:
Given the encoded message defined by the function f(x) = x³-1, the inverse function that the decoder would need when the message is received can be expressed as thus:
let the inverse of the function be represented as y such that y = x³-1.
Making x the subject of the formula from the equation above;
x³ = y+1
Taking the cube root of both sides:
∛x³ = ∛(y+1)
x = ∛(y+1)
replacing y with x:
y = ∛(x+1)
f⁻¹(x) = ∛(x+1)
The encoded message is the inverse function ∛(x+1)
