Yes. Micheal and Ashley bought same amount of turkey which is 6 pounds.
Step-by-step explanation:
The question requires to you to form simultaneous equations and solve them.
Take the number of pounds for turkey to be x and that for ham to be y
For store A where michael spent $18
turkey cost $3 per pound ---- 3x
ham cost $4 per pound------4x
The equation for cost will be ; 3x+4y =18
For store B where Ashley spent $27
turkey cost $4.5 per pound
ham cost $6 per pound
The equation for cost is : 4.5x +6y=27
The two equations are;
3x+4y=18
4.5x+6y=27
Solving the equations by graph you get ;
x=6 and y=4.5 for both linear graphs. This means both equations produce similar amounts of turkey and ham . Micheal and Ashley bought same amount of turkey which is 6 pounds.
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Simultaneous equations : brainly.com/question/12919422
Keywords : pounds, turkey, ham, store, cost, amount
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Answer:
The graph in the attached figure
Step-by-step explanation:
Let
x -----> the number of solved puzzles
y -----> the number of solved riddles
we know that
The solution of the inequality is the shaded area above the solid line
The slope of the solid line is negative
The y-intercept of the solid line is the point (0,4)
The x-intercept of the solid line is the point (2,0)
therefore
The graph in the attached figure
Answer:
Total Time = 4.51 s
Step-by-step explanation:
Solution:
- It firstly asks you to prove that that statement is true. To prove it, we will need a little bit of kinematics:
y = v_o*t + 0.5*a*t^2
Where, v_o : Initial velocity = 0 ... dropped
a: Acceleration due to gravity = 32 ft / s^2
y = h ( Initial height )
h = 0 + 0.5*32*t^2
t^2 = 2*h / 32
t = 0.25*√h ...... Proven
- We know that ball rebounds back to 7/8 of its previous height h. So we will calculate times for each bounce:
- How long it has been bouncing at nth bounce, we will look at the pattern between 1st, 2nd and 3rd and 4th bounce times calculated above. We see it follows a geometric series with formula:
Total Time ( nth bounce ) = Sum to nth ( )
- The formula for sum to infinity for geometric progression is:
S∞ = a / 1 - r
Where, a = 15 , r = ( 7 / 8 )
S∞ = 15 / 1 - (7/8) = 15 / (1/8)
S∞ = 120
- Then we have:
Total Time = 0.5*√S∞ - 0.25*√15
Total Time = 0.5*√120 - 0.25*√15
Total Time = 4.51 s
Answer:
, it is the amount of money earned per number of hours of work, x
Step-by-step explanation:
Here we have two functions:
This function represents the amount of money (the earning) per unit x
Then we have the function
which represents the number of gallons of ice cream that Barrett makes per hour, where x is the number of hours he works.
Here we want to find the composite function
which means that we use the output of as input for
. In this context, this means that the function
represents the amount of money earned per number of hours of work, x.
Substituting g(x) into the x of f(x), we find: