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.

Answers

Answer 1

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.


Related Questions

Lamont sliced 5 small oranges into equal fifths. He then ate 6/5 of the oranges. How is this fraction written as a decimal number?​

Answers

Answer: It is 1.2 in decimal number format

Please give brainliest if this makes the most sense!

If a(x) = 2x - 4 and b(x) = x 2, which of the following expressions produces a quadratic function? (ab)(x) (startfraction a over b endfraction) (x) (a – b)(x) (a b)(x)

Answers

The expressions which produce a quadratic function is the product of the provided binary functions (ab)(x).

What is a quadratic function?

A quadratic function is the function in which the unknown variable is one and the highest power of the unknown variable is two. The standard form of the quadratic function is,

[tex]f(x)=ax^2+bx+c[/tex]

Here,(a,b, c) is the real numbers and (x) is the variable.

The two function for the variable x is given as,

[tex]a(x) = 2x - 4[/tex]

[tex]b(x) = x +2[/tex]

These are the binary function, and the product of two binary function provide a quadratic function. The product or the multiplication of these two function will provide a quadratic function. Thus,

[tex]a(x) b(x)= (2x - 4)(x+2)\\(ab)(x)=2x^2+4x-4x-8\\(ab)(x)=2x^2-8[/tex]

Thus, the expressions which produce a quadratic function is the product of the provided binary functions (ab)(x).

Learn more about the quadratic function here;

https://brainly.com/question/1214333

Pls Help me :(



2. 75, 84, 90, 77, 84, 78, 91, 94, 83

Mean______ Median_______ Mode______​

Answers

Answer:

Mean=83.9 Median=83.5Mode=83, 84

hi, here is a hard puzzle im stuck on

o = 0
xox = 3
oxxx = 24
oxoxx = 40
oooxox = 24
xxxo = ??????

Answers

Answer:

shouldnt that suppose to be 24

Step-by-step explanation:

oxxx and xxxo is kanda same isnt it/

if f(x)= -2x+3 (4-5), what is f(7).

Answers

Answer:

f(7) is -17

Step-by-step explanation:

Plug in seven for x:

-2 (7) + 3 (4-5)

-14 + 3 (-1)

-14 + -3

-17

4 less than four times a number is equal to three times the same number plus 1

Answers

Answer:

True

Step-by-step explanation:

5 x 4 - 4 = 16

5 x 3 + 1 = 16

Which expression is equivalent to (15)(15-?)? ​

Answers

Answer:

C

Step-by-step explanation:

15 ^3  * 15 ^ -7   =    15^3 / 15^7 =  1 / (15^7 -3) = 1/(15 ^4)

Which of the following do not represent a function of x?
F
G
H
J

Answers

F because 1 is going to many solutions
f because
1 is the solution

2 √3 / √7 - 3 rationalise

Answers

Answer:

[tex]\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}[/tex]

the question asks us to rationalise the given expression ! thus , we'll just have to remove the √7 from the denominator by any means.

well , let's start ~

[tex] \frac{2 \sqrt{3} }{ \sqrt{7 } - 3} \\ \\ \implies \: \frac{2 \sqrt{3} }{ \sqrt{7} - 3} \: \times \: \frac{ \sqrt{7} + 3}{ \sqrt{7} + 3} = \frac{2 \sqrt{21} + 6 \sqrt{3} }{( \sqrt{7) } {}^{2} - (3) {}^{2} } \\ \\ \implies \: \frac{2 \sqrt{21} + 6 \sqrt{3} }{7 - 9} \\ \\ \implies \: \frac{2 \sqrt{21} + 6 \sqrt{3} }{2} \\ \\ \implies \: \frac{\cancel{2}( \sqrt{21} + 3 \sqrt{3)} }{\cancel{2} } \\ \\\bold\red{ \implies \: \sqrt{21 } + 3 \sqrt{3}} [/tex]

hope helpful :D

Solve the system of equations! I will mark branliest!

Answers

Answer:

x = -166, y = 34

Step-by-step explanation:

5(x+2y) - 3 = 3x+5

4(x-3y) - 50 = -33y

Open both equations

5x+10y - 3 = 3x+5

2x+10y = 8

4x-12y - 50 = -33y

4x+21y = 50

Now multiply -2 on both sides of 1st equation.

(easier to add both equations.)

-4x+-20y = -16

4x+21y = 50

Add both equations

x cancels out

y = 34

plug y back into other equation to find x

2x + 340 = 8

2x = -332

x = -166

Answer:

y = 34, x = -166

Step-by-step explanation:

Let's simplify the first equation.

5(x + 2y) - 3 = 3x + 5

We can multiply the 5 out:

5x + 10y - 3 = 3x + 5

Now let's isolate x on one side, although you can choose to isolate y if you want to. Subtract 3x on both sides:

2x + 10y - 3 = 5

Add 3 on both sides and subtract 10y on both sides.

2x = 8 - 10y

Divide 2 on both sides.

x = 4 - 5y

Now to the next equation!

4(x - 3y) - 50 = -33y

Multiply 4 out:

4x - 12y - 50 = -33y

Add 12y and 50 on both sides.

4x = -21y + 50

Now divide 4 on both sides!

x = -5.25y + 12.5

Now we have these equations:

x = 4 - 5y

x = -5.25y + 12.5

Therefore 4 - 5y = -5.25y + 12.5

Once again let's isolate the variable. Let's add 5.25y on both sides and subtract 4 on both sides:

0.25y = 8.5

Now multiply by 4 on both sides to bring y's coefficient to 1:

y = 34

Let's substitute the y value into the equation x = 4 - 5y to get x = 4 - 136 = -132

If we know the value of b, the slope of the regression line, we can accurately guess the value for the correlation coefficient without looking at the scatterplot.
A. True
B. False

Answers

Answer:

A True

Step-by-step explanation:

I am in 12th grade and make straight A's trust me on the answer

Yes it is true that if we know the value of [b], the slope of the regression line, we can accurately guess the value for the correlation coefficient without looking at the scatterplot.

What is Scatterplot?

A scatter plot is a type of plot or mathematical diagram using Cartesian coordinates to display values for typically two variables for a set of data.

Given is the statement -

" If we know the value of [b] the slope of the regression line, we can accurately guess the value for the correlation coefficient without looking at the scatterplot ".

A correlation coefficient is a statistical measure of the degree to which changes to the value of one variable predict change to the value of another. Mathematically, it is given by -

[tex]$r =\frac{\sum\left(x_{i}-\bar{x}\right)\left(y_{i}-\bar{y}\right)}{\sqrt{\sum\left(x_{i}-\bar{x}\right)^{2} \sum\left(y_{i}-\bar{y}\right)^{2}}}[/tex]

The slope of the regression line can be used to estimate the correlation coefficient without looking at the scatterplot. For '+' slope, the  correlation coefficient is positive and for '-' slope the correlation coefficient is negative.

Therefore, yes it is true that if we know the value of [b], the slope of the regression line, we can accurately guess the value for the correlation coefficient without looking at the scatterplot.

To solve more questions on scatterplots, visit the link below -

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1 2 3 4 5 6 7 8 9 kda kdhlad ha kdlahda dkahdlkh ak hakl

Answers

Answer:

free point ??

Step-by-step explanation:

thanks to you how r U doing

If ∠G measures 40°, ∠F measures 49°, and f is 7 feet, then find g using the Law of Sines. Round your answer to the nearest foot.

triangle EFG with side e across from angle E, side f across from angle F, and side g across from angle g


4 feet

5 feet

6 feet

7 feet

Answers

Answer:

6 feet

Step-by-step explanation:

C. 6 feet

Length of Side g is 6 feet

What is Trigonometric functions?

Trigonometric functions defined as the functions which show the relationship between angle and sides of a right-angled triangle.

Given,

∠F = 49°

Length of side f = 7 feet

∠G = 40°

length of side g = ?

According Sine rule,

[tex]\frac{\sin E}{e}=\frac{\sin F}{f}=\frac{\sin G}{g}[/tex]

[tex]\frac{\sin 49}{7}=\frac{\sin 40}{g}[/tex]

[tex]{g}=7(\frac{\sin 40}{sin 49})[/tex]

g = 5.96 ≈ 6

Hence, length of side g is 6 feet.

Learn more about Trigonometric functions

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Pls help need this to pass

Answers

Answer:

408in[tex]^{2}[/tex]

Step-by-step explanation:

1.) First, find the area of the base (**If you don't know how to do this, just find the length and width, then multiply them together). Since there aren't any other measurements, I'm guessing all sides are 12 inches (12x12=144).

2.) Next, find the area of the triangle. Use 12 and 11 as your measurements in this case (12x11=132).

3.) Now, divide your answer from step 2 (132) by 2 (132/2=66). This is because usually, triangles are HALF of the area of a square. If you skip this step, you will have made a cube instead of a pyramid.

4.) Multiply the answer from step 3 (66) by 4 (66x4=264), since there's 4 triangles on the pyramid.

5.) Add the answer from steps 4 (264) and 1 (144). This should get you the TOTAL surface area (408in[tex]^{2}[/tex]).

Which situation is best modeled by the inequality h > 35

Answers

Answer: The answer is You must be at least 35 years old to be president.

Step-by-step explanation: i just did this

What’s the answer for this…


Solve for p

2p + 3 > 2 (p – 3)

Answers

Answer:

All real numbers

Step-by-step explanation:

[tex]2p+3 > 2(p-3)[/tex]

1. Distribute the 2 on the right side of the inequality.

[tex]2p+3 > 2p-6[/tex]

2. Cancel out the 2p on both sides of the equation since they are equal.

[tex]3 > -6[/tex]

The statement above is always true, meaning that p can be all real numbers, therefore having all real solutions.

Please Help!
Select all of the expressions that are equivalent to 10x-30.
Select all that apply.

Answers

Answer:

10(x-3)

5(2x-6)

option 1 and option 3

Help ASAP!!!
Forks: 16, 8, ?
Spoons: 10, ? , 30

Answers

Answer:

Step-by-step explanation:

can some one help me this please?

Answers

Answer:

x=-2

Step-by-step explanation:

what percent of your daily intake of sodium would you eat if you had 6 cookies​

Answers

Step-by-step explanation:

about 7% (not exactly 7%, just about)

Answer:

About 7% sodium.

The rest is information you may find important later.

For homemade chocolate chip cookies.

18.72% (For the recommended calorie intake of a man, 2,500 a day)23.4% (For the recommended calorie intake of a woman, 2,000 a day)

__________________________________________________________

Questions about percentage? Feel free to ask me in the comments box.

What fraction lies halfway between 2/3 and 3/4

Answers

the fraction that lies will be one 1 half

Step-by-step explanation:

yes

Answer:

I believe its 17/24

Step-by-step explanation:

hope this helps

A dog has a litter of 8 puppies. In how many ways can a group of 5 puppies be chosen?​

Answers

The number of ways  5 puppies can be chosen from a litter of 8 puppies is 56 ways

Permutation and Combination

Permutation has to do with arrangement while combination has to do with selection.

From the queston, since we are to select 5 puppies from a litter of 8 puppes, this can be done as shown:

8C5 = 8!/(8-5)!5!

8C5 = 8!/3!5!

8C5 = 8*7*6*5!/6*5!

8C5 = 8* 7

8C5 = 56ways

Hence the number of ways  5 puppies can be chosen from a litter of 8 puppies is 56 ways

Learn more on combination here: https://brainly.com/question/11732255

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How much water does a rectangular tank with a square base of 2.5 yards and a height of 4 yards
hold?

Answers

Area of base:-

side²2.5²6.25yd²

Volume:-

Area of base×Height6.25(4)25yd³

Eric bought 16 apples. Each apple weighed 0.33 pound.

Answers

Answer:

5.28

Step-by-step explanation:

i hope this is the right answer. have a good day !

Answer:

The weight is 5.28 pounds

Step-by-step explanation:

16*0.33=5.28

(not just answer. need evidence)
Rania has 12 teaspoons of salt for a large recipe. The ratio of teaspoons to tablespoons is 3:1. How many tablespoons of salt does Rania have?​

Answers

Answer:

4

Step-by-step explanation:

Heres how I got it!

12 tsp of salt=x of tablespoons

We know that for every 3 teaspoons, there is 1 tablespoon. So, we just need to divide!

12/3=4 tablespoons

whats another way to write 11/9

Answers

Answer:

110/90

Step-by-step explanation:

There are infinite ways to write this, but the one above is one of the ways.

Answer:

There are many ways to write 11/9.

We can find equivalent fraction like 22/18 or 110/90.

We can turn it into a decimal (1.222222 the 2 repeats)

or we can turn it into a percent of 12.2222 (the 2 repeats)

Subtract 7/10 - 3/22 . Simplify the answer.

Answers

Answer:       31/55 = 0.56364

Step-by-step explanation:


STEP 1:         Simplify   3/22


Equation at the end of step 1:


7/10 - 3/22

STEP 2:   Simplify 7/10


Equation at the end of step 2:


7/10 - 3/22


STEP 3:Calculating the Least Common Multiple : 3.1    Find the Least Common Multiple       The left denominator is :       10       The right denominator is :       22 

8. The drawing below represents a new garden that will be bordered with alternating sections of
brick and concrete. All of the sections will cover approximately the same area.
Section 1
I
А
If Section 1 uses concrete to cover approximately 9 square feet, which is closest to the total
area that will be covered with the concrete sections?
40 square feet
B. 55 square feet
C 70 square feet
D. 95 square feet

Answers

According to the information, it can be inferred that the option that is closest to the area occupied is 40 square feet (option A).

How to calculate the total area covered with brick and concrete?

To calculate the total area covered with brick and concrete we must identify how many sections of brick the garden will have, according to the image it can be inferred that there are four sections of brick and concrete in total.

According to the above, what we must do is multiply the area of the section by the number of sections (4).

9 square feet × 4 = 36 square feet.

So option A, 40 square feet is the closest to the total area occupied by bricks. Then it would be the correct option.

Learn more about square feet in: https://brainly.com/question/11426645

In a state lottery, there are 12 finalists who are eligible for the Big Money Draw. In how many ways can the first, second, and third prizes be awarded if no ticket holder can win more than one prize? ways

Answers

Answer: 1320 ways

Step-by-step explanation:

In this scenario, 12 finalists are eligible for the money draw and no finalist can win more than one prize.

So for the 1st prize we have 12 finalists

For the 2nd prize we have 11 finalists

And finally, for the 3rd prize we have 10 finalists

Using the multiplication principle:

Total number of ways = 12 x 11 x 10

= 1320

Therefore, there are 1320 ways the first, second, and third prizes be awarded

Which radical expression is equivalent to x 1/8

Answers

Answer:

B

Step-by-step explanation:

using the rule of exponents

[tex]x^{\frac{a}{b} }[/tex] = [tex]\sqrt[b]{x^{a} }[/tex]

then

[tex]x^{\frac{1}{8} }[/tex] ( with a = 1 , b = 8 )

= [tex]\sqrt[8]{x}[/tex]

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