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lisov135 [29]
3 years ago
11

Evaluate the expression 6+[(-24)÷6]/19

Mathematics
1 answer:
zlopas [31]3 years ago
4 0
The order of operations is defined by the acronym PEMDAS (Parentheses, Exponents, Multiplication, Division, Addition, Subtraction).
Therefore
6 + [(-24) ÷ 6] / 19
= 6 + [ -24/6 ] / 19      handle parentheses first
= 6 + (-4) /19
= 6 - 4/19                   handle division
= 110/19
= 5 5/9

Answer:  
\frac{110}{19} \,\, or \,\, 5 \, \frac{5}{19} \,\, or \,\,  5.79

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What is 549 rounded to the nearest hundred
alukav5142 [94]

Answer:

550

Step-by-step explanation:

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3 years ago
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Suppose total benefits and total costs are given by b(y) = 100y − 8y2 and c(y) = 10y2. what is the maximum level of net benefits
olga nikolaevna [1]
Whenever you face the problem that deals with maxima or minima you should keep in mind that minima/maxima of a function is always a point where it's derivative is equal to zero.
To solve your problem we first need to find an equation of net benefits. Net benefits are expressed as a difference between total benefits and total cost. We can denote this function with B(y).

B(y)=b-c
B(y)=100y-18y²

Now that we have a net benefits function we need find it's derivate with respect to y.

\frac{dB(y)}{dy} =100-36y

Now we must find at which point this function is equal to zero.

0=100-36y
36y=100
y=2.8

Now that we know at which point our function reaches maxima we just plug that number back into our equation for net benefits and we get our answer.

B(2.8)=100(2.8)-18(2.8)²=138.88≈139.

One thing that always helps is to have your function graphed. It will give you a good insight into how your function behaves and allow you to identify minima/maxima points.


3 0
3 years ago
Find and interpret the slope of the line containing the given points. (12,4) and (10,10)
MAVERICK [17]

Answer:

3/-1

Step-by-step explanation:

The slope is 3/-1 (Rise 3 on the y axis, run to the negatives by 1 on the x axis)

To find the slope of two points, use the formula of y2-y1/x2-x1 (For example, with this equation it would be 10-4/10-12)

I'm not sure what it means to interpret the slope, but hopefully this helped you!

3 0
3 years ago
The expression 0.09x+(x-30) models the final price of a bicycle is its an instant rebate in a state that charges a sales tax. Th
svlad2 [7]

Answer:

<em>A)0.09x</em>

Step-by-step explanation:

The original price of the bicycle is x.

The discounted price of the bicycle is x - 30. It is a $30 discount.

The tax goes on the original price. 0.09x is the 9% tax applied to the original price x.

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Hot dogs at a carnival cost $2.99 each plus 7% tax. What is the total cost for one hot dog?
marysya [2.9K]
$2.99 + 7% of $2.99 =

= $2.99 + 7% * $2.99

= $2.99 + 0.07 * $2.99

= $2.99 + $0.21

= $3.20
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3 years ago
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