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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(A)
we are given
(-1.15) x 3.2
Since, sign of 1.15 is negative
and sign of 3.2 is positive
so, we put negative sign in front

now, we can multiply them
and we get
.............Answer
(B)
Suppose, we are given product of two numbers 'a' and 'b'
so, we use this property
case-1: When both positive , then we put positive in front

case-2: When both negative , then we put positive in front

case-3: When first is negative and second is positive , then we put negative in front

case-4: When first is positive and second is negative , then we put negative in front

Answer:
y - -x + 2.
Step-by-step explanation:
The line passes through (0, 2) and 5, 1) so it slope = (1-2) / (5-0)
= -1 and the y-intercept is at y = 2 so the equation is
y - -x + 2.