For tropical fish, aquarium water should be set to 76° F with an allowance of 4°.

a. Explain how to write an absolute value equation to represent this situation.

b. Explain the steps to solve the absolute value equation. What do the solutions represent?

Answers

Answer 1

Using absolute value, it is found that:

The absolute value equation that models the situation is: [tex]|T - 76| = 4[/tex]The two solutions, [tex]T = 72[/tex] and [tex]T = 80[/tex], mean that the temperature of the aquarium water must be between these two values.

---------------------------

The absolute value function is defined by:

[tex]|x| = x, x \geq 0[/tex]

[tex]|x| = -x, x < 0[/tex]

It measures the distance of a point x to the origin.

---------------------------

Item a:

The temperature should be set to 76ºF with an allowance of 4ºF, thus, the absolute value of the difference between the temperature T and 76 should be 4, that is:

[tex]|T - 76| = 4[/tex]

---------------------------

Item b:

Here, it is needed to solve the equation.

There are two solutions:

[tex]T - 76 = 4[/tex]

[tex]T = 80[/tex]

Or also:

[tex]T - 76 = -4[/tex]

[tex]T = 72[/tex]

The two solutions, [tex]T = 72[/tex] and [tex]T = 80[/tex], mean that the temperature of the aquarium water must be between these two values.

A similar problem is given at https://brainly.com/question/22532602


Related Questions

Find the length and breadth of the rectangle if the area is x^2+3x+4ax+12a​

Answers

Answer:

Area =(x+3)(x+4a)

so sides = 3 and 4a

4 Rachel ran 5 miles every day last week. Her running time was as follows: 39 min, 42 min, 41 min, 38 min, 39 min, 39 min, 42 min. What was her mean running time for 5 miles?​

Answers

Answer:

34.42 min

Step-by-step explanation:

Average:Total number/ Number of quantity

39+42+41+38+39+39+42 = 241

Divided by number of quantity:7

241/7 = 34.42 mins

The denominator of a rational number is greater than its numerator by 7. If the numerator is increased by 6 and the denominator is decreased by 5, the new rational number obtained is 3/2. Find the original rational number.

Answers

Answer:

6/13

Step-by-step explanation:

6    +   6    =    12            3

----                    ----    =    ---

13     -   5    =     8            2

Answer:

Original Rational number is = 6/13

Step-by-step explanation:

Let Numerator be : x

Denominator be : x + 7

Now,

Numerator is increased by 6Denominator is decreased by 5the new rational number obtained is 3/2

Numerator = x + 6

Denominator = ( x + 7) - 5

According to the question,

[tex] \displaystyle \: \sf \dashrightarrow \: \frac{x + 6}{(x + 7) \: - 5} = \: \frac{3}{2} [/tex]

[tex]\displaystyle \: \sf \dashrightarrow \: 2(x + 6) \: = 3 \{ \: (x + 7 ) - 5\} \: [/tex]

[tex]\displaystyle \: \sf \dashrightarrow \: 2x \: + 12 \: = \: 3(x + 2)[/tex]

[tex]\displaystyle \: \sf \dashrightarrow2x + 12 \: = 3x + 6[/tex]

[tex]\displaystyle \: \sf \dashrightarrow \: 2x - 3x \: = \: 6 - 12[/tex]

[tex] \: \: \: \displaystyle \: \sf \dashrightarrow \: - x \: = - 6 \\ \\ \: \: \: \: \: \: \displaystyle \: \bf \dashrightarrow \: x \: = 6[/tex]

Numerator = 6

Denominator = x + 7

= 6 + 7

= 13

Thus ,

[tex]\: \bf { \red{ \underline{\dashrightarrow \: obtained \: rational \: number \: = \: \frac{6}{13} }}}[/tex]

[tex] \pink{\rule{160pt}{5pt}}[/tex]

find the 50th term of 0,3,6,9

Answers

Answer:

150

Step-by-step explanation:

3×0=0

3×1=3

3×2=6

3×3=9

....

3×50=150

It is the value that will make the statement l 0 l ____ 0.​

Answers

Answer:

|0| = 0

Step-by-step explanation:

Absolute value of a number is its value sans its sign, positive or negative i.e. for +17, it is 17 and for −17 to it is 17.

Number 0 does not have any sign and +0=−0=0. Hence, we can say that |0|=0

Find the location of K

Answers

Answer:

-2

Step-by-step explanation:

HELPP!!
describe the pattern. then write the next 3 numbers
729,243,81,27

Answers

Answer: it's being devided by 3  heres is an equation [tex]\frac{729}{3^{n-1} }[/tex]  the next 3 numbers are 9,3,1

g(x)=3x-8
g(1)
help!

Answers

The question is asking to evaluate the function when the input value is 1 meaning we substitute one for every case of x. 3(1)-8 is equal to -5. Meaning g(1)=-5

Find the slope of the line.
5
X
--5-6.
a. Undefined
c.
3
2
b. 0
d. -1

Answers

Answer:

undefined

Step-by-step explanation:

slope = ((y2-y1)/2) / ((x2 - x1 )/2)

since x1 = x2

so x2 - x1 = 0

then ((y2-y1)/2) / 0 = undefined

Laina buys 14 meters of ribbon. She cuts her ribbon into 2 equal pieces. How many meters long is each
piece? Label the tape diagram to represent the problem, including the unknown.

Answers

Answer:

Each piece is 7 meters long.

Step-by-step explanation:

The ribbon, being 14 meters long, would be 7 meters long if cut into 2 equal pieces because 14 divided by 7 equals 2.

Law of indices a×10⁰×a​

Answers

Step-by-step explanation:

a×10⁰×a

Since, m⁰=1 therefore

a×1×a

a × 10⁰ × a = a × 1 × a = a × a =

Math 7 Review:
Question 4
What is the solution to 2(x−4)=16?

Answers

Answer:

x = 12

Step-by-step explanation:

2(x-4)=16

2 times x +2 times -4 = 16

2x -8 =16

2x -8 (+8) =16 (+8)

2x = 24

2x (divided by 2) = 24 (divided by 2)

x = 12

The largest theater has 42 rows.There are 14 seats in the first row.Each row has 4 seats more than the previous row.how many total are there in this theater?

Answers

Answer:

41 x 18 = 738 + 14 = 752

Step-by-step explanation:

Its says that there 42 rows .First row has 14 seats and the rest of 41 rows has with + 4 more so every row has 18 seats ,and asks how many seats are in total in the theater . To show that you understood the question you have to multiply 41x18 which gives 738 and then add + 14 from the first row so you can find out how many seats are in total .Hope that helps .

what would be 0.93 repeating as a fraction in simplest form​

Answers

Answer:

First, set x equal to .93

x=.939393939393...

Then, since the repeating is by two digits, let's multiply x by 100

This would make 100x=93.9393939393...

Now, we can subtract 100x−x

This would leave us with 99x=93 because the repeating digits cancel out.

This looks much easier now right?

Just divide the 99 and isolate the x to get x=9399

Get the simplified fraction, and the final answer is x=3133

Write a rule that describes how to find the number of legs for any
number of insects.

Answers

The rules of a dataset are what guide the formation of the dataset. The rule that describes how to find the number of legs for any  number of insects.

Add 6 or [tex]y = 6x[/tex]

Let:

[tex]x \to[/tex] number of insects

[tex]y \to[/tex] number of legs

From the table (see attachment), we notice the following:

As the number of insects increases by 1, the number of legs increases by 6.

Hence, the rule that describes how to find the number of legs is "Add 6"

A better approach is as follows:

From the table we have:

[tex](x_1,y_1) = (1,6)[/tex]

[tex](x_2,y_2) = (2,12)[/tex]

Calculate the slope (m) of these points

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{12 - 6}{2-1}[/tex]

[tex]m = \frac{6}{1}[/tex]

[tex]m = 6[/tex]

The equation is then calculated as:

[tex]y =m(x - x_1) + y_1[/tex]

This gives:

[tex]y = 6(x - 1) + 6[/tex]

[tex]y = 6x - 6 + 6[/tex]

[tex]y = 6x[/tex]

Hence, the rule is:

Add 6 or [tex]y = 6x[/tex]

Any of the above, can be stated as the rule that how to find the number of legs for any  number of insects.

Read more about linear functions at:

https://brainly.com/question/21107621

A tea set was bought for Rs 336 after getting a discount of 16 % on its marked price. Find the marked price of the tea set.

Answers

Step-by-step explanation:

53.76

it helpful for you plrase give me like

[tex]\large \mathfrak{Solution : }[/tex]

let the marked price of the tea set be n

According to the above problem,

[tex]n - ( \dfrac{16}{100} \times n) = 336[/tex]

[tex]n - \dfrac{4n}{25} = 336[/tex]

[tex] \dfrac{25n - 4n}{25} = 336[/tex]

[tex]21n = 8400[/tex]

[tex]n = \dfrac{8400}{21} [/tex]

[tex]n = 400[/tex]

Therefore the Marked price of the Tea set was ₹ 400

Point A is at (3,-8) and point B is at (7,3).
What is the midpoint of line segment AB?

Answers

Answer:

(5, -2)

Step-by-step explanation:

because that is the only other place on the line where it is on a actual point

The midpoint is located at the average of the two x-values and the average of the two y-values, whether or not that point has whole number coordinates.

3+7
—— = 5
2

-8 + 3
——— = -2.5 (or -5/2)
2

So the midpoint is (5, -2.5). Notice this doesn’t have an integer coordinate for the y-value.

Question 4
Simplify

Answers

Answer:

[tex]8 \frac{9}{10} [/tex] (first option)

Step-by-step explanation:

[tex] - 4 \frac{1}{5} - ( - 13 \frac{1}{10} )[/tex]

[tex] - \frac{21}{5} + 13 \frac{1}{10} [/tex]

[tex] - \frac{21}{5} + \frac{131}{10} [/tex]

[tex] \frac{89}{10} = 8 \frac{9}{10} [/tex]

7. Find the perimeter of the figure.
x+12
x + 2

Answers

Answer:

The perimeter is the length of the outline of a shape. To find the perimeter of a rectangle or square you have to add the lengths of all the four sides. x is in this case the length of the rectangle while y is the width of the rectangle.

What have you discovered regarding data representation methods? What's the difference between qualitative and quantitative data?

For data and probability

Answers

Step-by-step explanation:

Qualitative data are discrete, for instance, "Yes/No" type questions. They are usually presented in bar charts or pie charts to show the portion of different populations with certain characteristics in a single experiement (e.g. Not allergic to ginger VS allergic to ginger).

Qualitative data are usually continuous, and can show a trend or distribution numerically. They are usually presented by, for instance, line charts (e.g. Distribution of resident age in block E)

PLS ANSWER THIS I NEED HELP

Answers

Answer:

Here is your answer

Hope it helps

The perimeter of a square is 30cm the perimeter of a rectangle is 30cm use this information to find out the area of the square below?

Answers

Step-by-step explanation:

perimeter of square = 30cm

perimeter of rectangle = 30cm

area of square is = 30×30= 900 cm

hope it helps , make sure to follow !!!!

I need help pls(: I’m confused about this!!

Answers

Answer:

(4,3)

Step-by-step explanation:

hope this helps :)

How do you know each of the sides of the shape are the same length?

Answers

Answer:

If your shape is a regular polygon (such as a square in the example above) then it is only necessary to measure one side as, by definition, the other sides of a regular polygon are the same length. It is common to use tick marks to show that all sides are an equal length.

Step-by-step explanation:

Hope it helps love form india server

Answer:

they usually have double line on top of the lines of the shapes. for example square they have all the same lenght so they have double line signs on top of them

i hope this help. good luck

√6·√5·√2 what is the answer for this. Im very confused

Answers

Answer:

2√15 is your answer . Hope this helps you.

Answer:

2[tex]\sqrt{} 15[/tex] (decimal 7.74596)

Step-by-step explanation:

That sign is called a radical sign used to find square roots so it is used to extract or find the index of the number in this case the answer to that question

So you have

√6 √5 √2 first you find the value of the first number my finding the square root

(by changing the number into a decimal and using long division is the method i use)

Since √6 is √3 and √2 then you put them together like so

√2 √3 √5 √2

then you apply radical rule

(which the formula is √a √a = a,   a>0)

in this case it is √2 √2 = 2

and that equals

2 √3 √5

Apply radical rule again

(now that we did the formula the first time the formula changes now it is √a √b = √ab,    a>0, b>0)

now it is

2√3 x 5

now you just multiply 3 and 5and get 15

then you get

2[tex]\sqrt{} 15[/tex] (decimal 7.74596)

Hope it helped, please mark brainliest if did

Add. −14 + (−7) Enter your answer in the box.

Answers

Answer:

-21

Step-by-step explanation:

add the numbers -14 and -7 to get -21

Hey there!

Answer:

- 21

Step-by-step explanation:

[tex] - 14 + ( - 7) \\ \\ - 14 - 7 \\ \\ - 21[/tex]

Hope it help you

In the following expression, both AAA and BBB are variables that can take positive values. Which of these actions will cause the expression's value to increase?

Answers

Answer:

A and C

Step-by-step explanation:

Keeping A constant and increasing B.

increasing A and keeping B constant.

The correct option is (A) and (C)

What is expression?

An expression in math is a sentence with a minimum of two numbers/variables and at least one math operation in it.

Expression Definition in Math

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division. The terms involved in an expression in math are:

Constant: A constant is a fixed numerical value.

Variable: A variable is a symbol that doesn't have a fixed value.

Term: A term can be a single constant, a single variable, or a combination of a variable and a constant combined with multiplication or division.

Coefficient: A coefficient is a number that is multiplied by a variable in an expression.

Given:

A^B(B +2)

As, both are in ratio of multiplication and B is also the power for A.

There is no possible of decreasing the quantity.

Hence, if A is constant then B increasing and B is constant then A is increasing .

Learn more about expression here:

https://brainly.com/question/14083225

#SPJ5

please help me ! i'm going to fail if i don't answer

Answers

The answer is 49

Hope this helps *smiles*

Robert climbed 755 steps in a mix fraction of 12 1/2. How many steps did he average per minute?

Answers

Answer:

60.4 steps per minute

755 divided by 25/2 (12 1/2) equals 60.4

48 divided by blank =6

Answers

Answer:

i think ANSWER IS 8

Step-by-step explanation:

48÷8 = 6

Answer:

8 would be your answer if I'm wrong pls let me know and I will edit soon as posable.

Step-by-step explanation:

the way I did it was doing 48 divided by 6 and I got the answer 8 meaning 8 would be the correct answer

Other Questions
Which of the following statements is true of unpaid internships?O Interns are entitled to jobs at the end of their internships.O Interns are entitled to wages.O Internship experience is for the benefit of employers.O Interns may not displace regular employees. please help me with my question Identify the organelles in the cell to the right.ABCDEF if the breadth of a rectangle is one third of its length and perimeter is 80 cm find the length and breadth of rectangle -6 * -6 + 7 * -6 + 8 Damon was in a car accident four years ago and has been terminally ill since then. He suffered multiple fractures to his skull that caused him to slip into a coma. He has been in a vegetative state for over three years now. His family finally agrees to end his suffering by turning off his respirator. In this scenario, the withholding of the respirator is an example of _____ euthanasia. Convert 355 degrees C to K. Nn mt hn hp kh gm 3,0 mol nit v 7,0 mol hiro trong mt bnh kn, phn ng c sn cht xc tc thch hp v nhit ca bnh c gi khng i 450oC. Sau phn ng thu c 8 mol mt hn hp kh.(a) Tnh hiu sut phn ng tng hp NH3.(b) Tnh th tch kh amoniac c to thnh ( ktc) Please help me please Solve the equation for w.x = w/ a. Multiple choiceW = axW = a/xX = waW = x/a Would overheating be a stimulus or aresponse?StimulusResponse PLEASE HELP I KEEP GETTING IT WRONGG If a distribution is skewed to the right with no outliers, which expression is correct?mean < medianmean medianmean = medianmean > medianWe cant tell without examining the data. Animal cells have which of the following characteristics? Select all that apply.cleavage furrowschloroplastsno cell wallcell plates and no centrioles in cell divisionno large vacuole, only small ones Can you figure out the solution? Options: a) 8b) 6c) 2d) 5 What are the domain and range of function p within the context of Melissas garden?Drag the values to the correct locations on the image. Each value can be used more than once, but not all values will be used. how would a social structure work in civilization KLM Corporation's quick assets are $5,996,000, its current assets are $12,480,000 and its current liabilities are $8,068,000. Its acid-test ratio equals: _________ What sensors do bipedal have and how does the robot use these sensors?I'll give brainliest If the new family in the city apartment is looked down upon for being provincial,they probably came from ?