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melisa1 [442]
2 years ago
6

You have some money in your wallet. You don't know the exact amount, but you think you have 60 dollars give or take 15 dollars.

What is the difference between the largest and smallest weight of oranges in kilograms you can buy, if oranges cost 5 dollars/kg.
Mathematics
1 answer:
Karolina [17]2 years ago
6 0

Answer:

The least amount is 75 dollars.

The biggest amount is 125 dollars

Step-by-step explanation:

The absolute value function will help us determine a  range of possible values since we do not know the exact amount of money.

Defining the function.

Let x be the exact amount of money in my pocket, we can define the equation

And we know that the difference between the exact amount of money with 100 dollars must be either 25 dollars more than what we estimated, or 25 dollars less than the estimation.  So we can write:

We have a difference inside an absolute value, since we know the difference must be either +25 or -25.

Solving for x

Using the definition of absolute value we have

So if the inside of the absolute value is positive we have the first line of the piece-wise function, that is

Solving for x give us

If the inside of the absolute value is negative we have to use the second line of the piece-wise function definition

Solving for x give us

So the least amount of money in my pocket is 75 dollars and the biggest amount is 125 dollars.

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Help please!
larisa86 [58]

Answer:

The point at (-7, -5) = a

The point at (9, 3) = b

The point at (-3, 7) = c

The "a" point of the triangle is 12 units away from the center point.

So, 12 x 1/4

=> 12/4

=> 3

So, the "a" point of the dilated figure is  3 units left from the center.

=> So, the dilated "a" point is at (2, -5)

The "b" point is 8/4 (= rise/run = y-axis / x-axis) from the center point.

=> 8/4 = 2

So, the "b" point of the dilated figure is 1 unit right and 2 units up from the center point.

=> So, the dilated "b" point is at (6, -3)

The "c" point is 12/8 units away from the center point.

=> 12/8 x 1/4

=> 3/2

So, the "c" point of the dilated figure is 3 units up and 2 units left from the center point.

=> So, the dilated "c" point is at (3, -2)

7 0
3 years ago
What do you know to be true about the values of a and b?
Nady [450]

Answer:

A

Step-by-step explanation:

The triangles are the same size but in a different form. Y= 50 and a and b equal eachother.

7 0
3 years ago
Read 2 more answers
A young sumo wrestler decided to go on a diet to gain weight rapidly. He gained weight at a rate of 5.5kg a month. After 11 mont
kondaur [170]

Answer:

W(t)=5.5t+79.5.

Step-by-step explanation:

Please consider the complete question.

A young sumo wrestler decided to go on a special high-protein diet to gain weight rapidly. He gained weight at a rate of 5.5 kilograms per month. After 11 months, he weighed 140 kilograms. Let W(t) denote the sumo wrestler's weight W(measured in kilograms) as a function of time t (measured in months).  

Since wrestler gained weight at a rate of 5.5 kilograms per month, so slope of line be 5.5.

Now, we will use point-slope form of equation as:

y-y_1=m(x-x_1), where,

m = Slope

(x_1,y_1) = Given point on the line.

Upon substituting coordinates of point (11,140) in above formula, we will get:

y-140=5.5(x-11)

y-140=5.5x-60.5

y-140+140=5.5x-60.5+140

y=5.5x+79.5

Therefore, our required function would be W(t)=5.5t+79.5.

3 0
3 years ago
Karen bought a jacket for$280.80 inclusive of an 8% sales tax.Find the price of the jacket before sales tax was applied.
Serhud [2]

Answer:

$260

Step-by-step explanation:

Actual price + 8% of actual price=$280.80

Let x= actual price

8% of actual price=8/100 of x

=0.08x

x + 0.08x=$280.80

1.08x=$280.80

x=$280.80/1.08

x=$260

Price of the jacket before sales tax=$260

Check:

8% sales tax of $260

=8% of $260

=8/100×$260

=0.08×$260

=$20.8

Purchasing price= actual price+ sales tax

=$260+$20.8

=$280.80

8 0
3 years ago
Solve for w <br><br> 12w -24 = 12
Mkey [24]

Answer:

12W=24+12

w=36÷12=3

.....

5 0
3 years ago
Read 2 more answers
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