Answer:
The minimum acceptable weight of the flour bag is 39.5 kg,
and its maximum acceptable weight is 40.5 kg
Step-by-step explanation:
Notice that the selling weight of the bag to be sold (x) needs to differ from 40 kg at most 0.5 kg. Therefore, we can write the following inequality:
The inequality can be solve once we remove the absolute value symbol, and solve for the unknown "x". Recall that in order to solve it, we need to consider the two possible cases:
a) that the expression within the absolute value symbol is larger than or equal to zero, and b) that the expression is less than zero.
a) If 
then its absolute value is equal to itself (x-40), and when we remove the absolute value symbols, we get:
which means that the weigh "x" of the flour bag should be smaller or equal than 40.5 kg
b) If 
, then the absolute value of this is its opposite : -x+40, and the inequality becomes:
which means that the weight of the flour bag must be larger than or equal to 39.5 kg
So, the minimum acceptable weight of the flour bag is 39.5 kg, and the maximum acceptable weight is 40.5 kg
Answer:
a. 92%
b. 4425
Step-by-step explanation:
So there are 5000 customers in total, and 100 were completely satisfied, and 15 were satisfied and 10 weren't satisfied a bit. so 100+15 is 115 so 115 people in total were satisfied out of 125 because there were 125, and 115+10 is 125 anyways. So 115/125 is .92, and you can convert that into a percentage, 92% of the 250 customers were satisfied so then 250*5 is 5000, so then just multiply 115 by 5 as well. You get 575. So 575 were satisfied out of the 5000 customers and 5000-575 are the people not satisfied, so 4425.
probably wrong because it doesnt sound right but just try it
Greater than because 5 feet equal 60 inches
Answer:
750 mm, 7.5 cm
Step-by-step explanation:
Verify each case
case a) 2.5 km, 2,500 m
we know that
1 km ------> 1.000 m
so
2.5 km=2,500 m
therefore
The pair of measurements is equivalent
case b) 750 mm, 7.5 cm
we know that
1 cm ------> 10 mm m
so
7.5 cm=75 mm
therefore
<u>The pair of measurements is not equivalent</u>
case c) 3 m, 3,000 mm
we know that
1 m ------> 1.000 mm
so
3 m=3,000 mm
therefore
The pair of measurements is equivalent
case d) 120 cm, 1.2 m
we know that
1 m ------> 100 cm
so
1.2 m=120 cm
therefore
The pair of measurements is equivalent
Answer: Choice D.
Max: f (-1,-2)=4; min:f(3,5)=-11
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Work Shown:
Plug in (x,y) = (-1,3)
f(x,y) = -2x-y
f(-1,3) = -2*(-1)-3
f(-1,3) = 2-3
f(-1,3) = -1
------------------
Plug in (x,y) = (3,5)
f(x,y) = -2x-y
f(3,5) = -2*3-5
f(3,5) = -6-5
f(3,5) = -11
------------------
Plug in (x,y) = (4,-1)
f(x,y) = -2x-y
f(4,-1) = -2*4-(-1)
f(4,-1) = -8+1
f(4,-1) = -7
------------------
Plug in (x,y) = (-1,-2)
f(x,y) = -2x-y
f(-1,-2) = -2*(-1)-(-2)
f(-1,-2) = 2+2
f(-1,-2) = 4
------------------
The four outputs are: -1, -11, -7, and 4
The largest output is 4 and that happens when (x,y) = (-1,-2)
So the max is f(x,y) = 4
The smallest output is -11 and that happens when (x,y) = (3,5)
So the min is f(x,y) = -11
This all points to choice D being the answer.
