Answer:The system of equations to describe the situation are
c + y = 8
6c + 3y = 36
Step-by-step explanation:
Let c represent the number of shirts.
Let y represent the number of caps.
Eight friends started a business. They will wear either a baseball cap or a shirt imprinted with their logo while working. This means that
c + y = 8 - - - - - - - - - - -1
They want to spend exactly $36 on the shirts and caps. Shirts cost $6 each and caps cost $3 each. This means that
6c + 3y = 36 - - - - - - - - - - 2
Answer:
see explanation
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Subtract the sum of the given angles from 180 for A
A = 180° - (90 + 46)° = 180° - 136° = 44°
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tan46° =
= 
Multiply both sides by 23
23 × tan46° = b, thus
b ≈ 23.8 ( to the nearest tenth )
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cos46° =
= 
Multiply both sides by c
c × cos46° = 23 ( divide both sides by cos46° )
c =
≈ 33.1 ( to the nearest tenth )
Answer:
Hence, the particular solution of the differential equation is
.
Step-by-step explanation:
This differential equation has separable variable and can be solved by integration. First derivative is now obtained:



, where C is the integration constant.
The integration constant can be found by using the initial condition for the first derivative (
):



The first derivative is
, and the particular solution is found by integrating one more time and using the initial condition (
):





Hence, the particular solution of the differential equation is
.
Answer:
Step-by-step explanation:
The answer is 26