The coffee shop used 52 pounds of Type A coffee.
Step-by-step explanation:
Cost of Type A coffee per pound = 5.25
Cost of Type B coffee per pound = 4.10
Total pounds used in blend = 142
Total cost = 642.00
Let,
x be the pounds of Type A coffee used
y be the pounds of Type B coffee used
According to given statement;
x+y=142 Eqn 1
5.25x+4.10y=642.00 Eqn 2
Multiplying Eqn 1 by 4.10

Subtracting Eqn 3 from Eqn 2

Dividing both sides by 1.15

The coffee shop used 52 pounds of Type A coffee.
Keywords: linear equation, elimination method
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Answer:
5
Step-by-step explanation:
Just multiply 5/7 by 7 since his dog retrieved 5/7 out of the 7 ducks he shot.
Answer:

Step-by-step explanation:
step 1
we have the points
(-1,0), (-2,0), and (0,2)
Plot the points
using a graphing tool
see the attached figure
The graph of a quadratic function must be a vertical parabola open upward
The vertex is a minimum
The quadratic function in general form is equal to

Substitute the value of x and the value of y of each given ordered pair in the general equation and solve for a,b and c
(0,2)
For x=0, y=2
substitute

(-1,0)
For x=-1, y=0
substitute

---->
----> equation A
(-2,0)
For x=-2, y=0
substitute

----> equation B
we have the system
----> equation A
----> equation B
substitute equation A in equation B
solve for b

Find the value of a
therefore
The quadratic function in general form is equal to

see the attached figure N 2 to better understand the problem
Answer:
Step-by-step explanation: