A granite block in the shape of a right rectangular
2 answers:
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Answer:
The quantity of type A coffee is 73 pounds
The quantity of type B coffee is 94 pounds .
Step-by-step explanation:
Given as :
The price of Type A coffee costs = $ 5.70 per pound
The price of Type B coffee costs = $ 4.30 per pound
The total quantity of coffee does Reuben purchases = 167 pounds
The total cost of the coffee for 167 pounds = $ 820.30
Let The quantity for type A coffee = a pounds
And The quantity of type B coffee = b pounds
Now, <u>According to question</u>
a + b = 167 pounds And
$ 5.70 × a + $ 4.30 × b = $ 820.30
Now solving equations
5.70 × ( a + b ) = 5.70 × 167
or, 5.70 a + 5.70 b = 951.9
Now ,
( 5.70 a + 5.70 b ) - ( 5.70 a + 4.30 b ) = 951.9 - 820.30
or, ( 5.70 a - 5.70 a ) + ( 5.70 b - 4.30 b ) = 131.6
Or, 0 + 1.4 b = 131.6
∴ b =
I.e b = 94 pounds
Put the value of b to get a value
So, a = 167 pounds - b
Or, a = 167 - 94
∴ a = 73 pounds
Hence The quantity of type A coffee is 73 pounds
And The quantity of type B coffee is 94 pounds . Answer
When solving logarithmic/natural log equations, the strategy is to get ln (x) alone on one side, and all the stuff on the other side. Then exponentiate both sides to get to x.
2 ln (x + 3) = 0
ln (x + 3) = 0
At this point, we can't isolate anymore or use logarithm properties to separate this further. But we have ln (something), and we can exponentiate.
x+3 = 1 <--This come from the fact the ln (x) and are inverse functions that undo each other. This is why exponentiating works.
x = -2
So x = -2 is our solution.