Answer:
a. 1.65s+1.36k=118.17 and s+k=79
b. Mr Sanchez with $61.05
c. 61.05 - 57.12 = $3.93
Step-by-step explanation:
A system of equations is 2 more or more equations with the same variables that relate information about a situation. Here the variables will be S for the number of Mr. Sanchez's class fruit sold and K for the number of Mr. Kelly's bottles of fruit juice sold.
The first equation can be written as 1.65s +1.36k = 118.17 for the total amount of money sold. This equation says $1.65 per item sold by Mr. Sanchex plus 1.36 per item sold by Mr. Kelly equals a total of $118.17.
The second equation can be written between the total number of items sold which was 79. This is s+k=79.
To solve, graph, substitute or eliminate to find s or k. Here we will substitute by rearranging s+k=79 as k=79-s.
1.65s+1.36(79-s)=118.17
1.65s+107.44-1.36s=118.17
0.29s+107.44=118.17
0.29s = 10.73
s= 37 items sold in Mr. Sanchez's
Substitute again into the equation s+k=79.
37+k=79
k=79-37
k= 42 items sold in Mr. Kelly's
This means Mr. Sanchez's earned $1.65(37)=$61.05 and Mr. Kelly's earned $1.36(42)= $57.12
Answer: C≈628.32
Step-by-step explanation: This is due to the fact that the formula to find the circumference would be C=2πr which in this case the raduis would be 100 because if u divide the diameter by 2 u get 100. Now the formula is 2*3.14*100
Answer:
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Step-by-step explanation:
Answer:
b. $31.44
Step-by-step explanation:
The tank holds 11.75 gallons. Tim will need to get half of this amount to bring the tank back up to half full; this is
11.75/2 = 5.875
The gas costs $4.50 per gallon; this means the cost is
5.875(4.50) = 26.4375 ≈ 26.44.
There is also a $5 refueling charge; this makes the total cost
26.44+5 = 31.44
Answer:
A. v(t) = sin (2πft + π/2) = A cos (2πft)
Step-by-step explanation:
According to trigonometry friction, the following relationship are true;
Sin(A+B) = sinAcosB + cosAsinB
We will be using this relationship to check which option is true.
Wave equation is represented as shown;
y(t) = Asin(2πft±theta)
For positive displacement,
y(t) = Asin(2πft+theta)
If theta = π/2
y(t) = Asin(2πft+π/2)
y(t) = A[ sin 2πftcosπ/2 + cos2πft sin π/2]
Since sinπ/2 = 1 and cos (π/2) = 0
y(t) = A[ sin 2πft (0)+ cos2πft (1)]
y(t) = A[0+ cos2πft]
y(t) = Acos2πft
Hence the expression that is true is expressed as;
v(t) = Asin(2πft+π/2) = Acos2πft
