When lava is expelled from a volcano, it temperature may vary from 700 degrees Celsius to 1200 degrees Celsius. Write an absolute value equation that represents the minimum and maximum temperatures of lava. Use x to represent the temperature.

Equation:__

Answers

Answer 1

Answer:

Ix - 950°C I ≤ 250°C

Step-by-step explanation:

We are told that the temperature may vary from 700 degrees Celsius to 1200 degrees Celsius.

And that this temperature is x.

This means that the minimum value of x is 700°C while maximum of x is 1200 °C

Let's find the average of the two temperature limits given:

x_avg = (700 + 1200)/2 =

x_avg = 1900/2

x_avg = 950 °C

Now let's find the distance between the average and either maximum or minimum.

d_avg = (1200 - 700)/2

d_avg = 500/2

d_avg = 250°C.

Now absolute value equation will be in the form of;

Ix - x_avgI ≤ d_avg

Thus;

Ix - 950°C I ≤ 250°C


Related Questions

A truck can be rented from Company A for ​$100 a day plus ​$0.60 per mile. Company B charges ​$30 a day plus ​$0.80 per mile to rent the same truck. Find the number of miles in a day at which the rental costs for Company A and Company B are the same.

Answers

Answer:

80+ 0.3x = 60 + 0.4x

20 = 0.1x

x = 200

Therefore, at 150 miles, the best deal changes companies

Step-by-step explanation:

Helllppp 10 pts plss

Answers

1) y = (3/8)x + (1/8)

2) y = -0.73x - 1.36 (rounded to nearest hundredth)

3) y = 4x + 15

4) y = (3/4)x - (13/2)

5) y = 3x + 5

6) y = -2x - 4

Which of the following quadrilaterals are similar?

Answers

i see nothing what do you mean

In September, 8 out of 10 days were rainy. How many total days in September were rainy? I Will Give You 15 Points

Answers

Answer:

8 days where raining out of 10. means 2 days where not raning so 8 days where raning and 2 was not.

what is wrong with the equation? ​

Answers

The answer to the question in the picture is x=8

Answer:

  x = 3

Step-by-step explanation:

We don't know what equation you think is wrong.

__

The solution to the problem is ...

  x/2 +x/6 = 2

  x(1/2 +1/6) = 2 . . . . working using the given fractions

  x(3/6 +1/6) = 2

  x(4/6) = 2

  x(2/3) = 2

  x = (3/2)(2)

  x = 3

__

We can also work this by eliminating fractions first.

  x/2 +x/6 = 2

  3x +x = 12 . . . . multiply the equation by 6

  4x = 12 . . . . . . .collect terms

  x = 3 . . . . . . . . .divide by 4

The table shows the results of a survey of students. The survey asked the students whether they have a job and whether they have a car.
Job No Job Total
Car
38
22
60
No Car 16
18
34
Total
54
40
94
What percentage of the students in the survey have a car?
O A 22%
O B. 38%
OC. 40%
OD. 60%
dhe
O E 64%

Answers

Answer:

It’s E. 64%

Step-by-step explanation:

Based on the number of people who had a car and the total number of people surveyed, the percentage is E. 64%

Percentage of those with cars

The percentage of students with a car is:

= Number of students with cars / Number of students in total x 100%

Solving gives:

= 60 / 94 x 100%

= 63.8%

= 64%

In conclusion, option E is correct.

Find out more on percentages at https://brainly.com/question/16193777.

Write 7*7*7 using an exponent

Answers

Answer:

7^3

Step-by-step explanation:

Copied mandhizulfiquar

HAVING A BAD DAY HELP
Christine bakes 20 cookies every half hour. Charlie sells 38 cookies per hour. How many cookies are left unsold if they work from 6:00 AM until noon?

Answers

Answer:

12

Step-by-step explanation:

The number of cookies that are left unsold if they work from 6:00 AM until noon is 12.

Cookies baked per hour by Christine = 20*2 =40

Cookies sold per hour by Charlie = 38

How many hours will be there between 6:00 AM and noon?

There will be 6 hours between 6:00 AM and noon.

So, Cookies baked by Christine in 6 hours = 40*6 =240

Cookies sold by Charlie in 6 hours = 38*6 =228

Number of unsold cookies =240-228 =12

Hence, the number of cookies that are left unsold if they work from 6:00 AM until noon is 12.

To get more about such word problems visit:

https://brainly.com/question/21405634

Write the word sentence as an equation. Then solve. The sum of a number y and −3 is −8.

Answers

Answer:

y = -5

Step-by-step explanation:

Step 1: Translate

"Sum" is addition

"a number y" is y

"-3" is -3

"is -8" means equal to -8

Step 2: Set up equation

y + -3 = -8

Step 3: Solve for y

Simplify: y - 3 = -8Add 3 to both sides: y = -5

Eric goes to the grocery store to buy apples so that he can bake an apple pie He can buy 2 apples for $150 or 6 apples
for $4.50

Answers

Answer:

mm

Step-by-step explanation:

,l

Answer:

6 apples ofc

Step-by-step explanation:

The points represented by the table lie on a line.
Х
- 4
-3
-2
-1
y
2.
-5
-12
-19
What is the slope of the line?

Answers

-7 is the slope! Hope this helps!

The points represented by the table lie on a line, then the slope of the line would be; 3.

What is the slope?

The slope is the ratio of the vertical changes to the horizontal changes between two points of the line.

Its slope would be:

[tex]m = \dfrac{y-q}{x-p}[/tex]

Since the Slope of parallel lines is the same. Slopes of perpendicular lines are negative reciprocals of each other.

Using any two pairs from the table of values given which are; (-4, 2) and (-3, 5):

[tex]m = \dfrac{y-q}{x-p}[/tex]

Now Plug the value into the slope formula:

m = (5 - (-4))/ (5 - 2)

m = 9/3

m = 3

Therefore, the slope of the line would be; 3.

Learn more about slope here:

https://brainly.com/question/2503591

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quick Solve by elimination 4. -6x-y= -17
-2x-3y= -3

Answers

Answer:

Step-by-step explanation:

18x + 3y = 51

-2x - 3y = -3

16x = 48

x = 3

-2(3) - 3y = -3

-6 - 3y = -3

-3y = 3

y = -1

Whats larger 3/10 or 10/33

Answers

Answer:

3/10

Step-by-step explanation:

just because the numerator is bigger dosent mean it is bigger so its 3/10

Simplify by using order of operations: 4 + (9∙2) ÷ (4 - 1) - 4

Answers

Answer:

20

Step-by-step explanation:

Use PEMDAS

P = parenthesis

E = Exponents

M = Multiplication*

D = Division*

A = Addition**

S = Subtraction**

*either can come first, it just depends which comes first in the equation.

**either can come first, it just depends which comes first in the equation.

Step 1 : Write equation   4( 9 × 2 ) ÷ ( 4 -1 ) - 4

Step 2: Solve in parenthesis   4(18) ÷ (3) - 4

Step 3: Solve multiplication   72 ÷ 3 - 4

Step 4: Solve division               24 - 4

Step 5 : Solve subtraction         20

The simplified answers is -22.

What is order of operation?

The order of Operations is the rule in math that states we evaluate the parentheses/brackets first, the exponents/the orders second, division or multiplication third (from left to right, whichever comes first), and the addition or subtraction at the last (from left to right, whichever comes first). In math, there might be several operations to be done while evaluating an expression, and simplification at the end yields different results. However, we can only have one correct answer for any sort of expression. To identify the correct answer we simplify any given mathematical expression using a certain set of rules. These rules revolve around all the basic operators used in maths. Operators such as addition (+), subtraction (-), division (÷), and multiplication (×).

The order of operation can be termed as BODMAS.

Given:

4 + (9∙2) ÷ (4 - 1) - 4

=4+ (18) / (3)- 4

=22 / -1

=-22

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I need help with this

Answers

The display got this answer because you forgot to put the decimal point on 42.8 and typed in 428 instead this is why the display shows the wrong answer. You can estimate the answer by seeing the numbers are really low and the answer can’t be that big.

Please help, I will mark brainliest.​

Answers

Answer:

(2,1)

Step-by-step explanation:

Answer: It's (2,1)

Step-by-step explanation:

can someone help me figure this out please?

Answers

Answer:

Subtract 7 from both sides

Step-by-step explanation:

The first step is to collect all the whole numbers to isolate the variable.

What is the slope of the line?
y-4=-7(x-6)y−4=−7(x−6)

Answers

Answer:

-7

Step-by-step explanation:

That's what Khanacademy says

Answer:

-7

Step-by-step explanation:

I got it right

y = 4x - 5 and (3,4) (7, 3) A. parallel B. perpendicular D. neither

Answers

Answer:

The lines are perpendicular. Option B.

Explanation:

Equation of the Line

One of the characteristics of the line is its slope. It can be determined in two ways:

* From the equation y=mx+b, the m is the slope. The given equation is y=4x-5. Thus, the slope of this line is m=4.

* Suppose we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:

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

The points are (3,4) and (7,3), thus the slope is:

[tex]\displaystyle m=\frac{3-4}{7-3}=-\frac{1}{4}[/tex]

A. For two lines to be parallel, their slopes must be equal. Since m1=4 and m2=-1/4, the lines are not parallel. Incorrect

B. For two lines to be perpendicular, their slopes must meet the condition:

[tex]m1*m2=-1[/tex]

4*(-1/4)=-1

Both lines are perpendicular. Correct choice

D. Since choice B. is correct, this cannot be true. Incorrect

if A = James's present age, write an expression for his age seven years from now *

Answers

Answer:

A +7= F

Step-by-step explanation:

A is his current age, and he gains, or adds seven years he will be F or his future age.

HELP HURRY. What is the sum when you simplify the expression 3 + (-4)?

Answers

Answer:

-1

Step-by-step explanation:

The answer is negative one

11 times what is 93.5?

Answers

Answer:

11 x ___ =93.5

___ = 93.5 ÷ 11

= 8.5

Answer:

93.5/11 = 8.5

Step-by-step explanation:

Gavyn was thinking of a number. Gavyn halves the number and gets an answer of 44. Form an equation with x from the information.

Answers

Answer:

The equation

(x/2) = 44

The answer

x = 88

2895÷229=
PLZ RIGHT WITH WHOLE NUMBER AND REMANDER
---
R:

Answers

Answer:

12 R 147

Step-by-step explanation:

You spend of an 4/5 of an hour on your homework. You spend 1/2 of that time working on your science homework.
How many minutes do you spend working on science homework?

Answers

Answer:

you spend ethier 3/10 or you spend 5/10

Step-by-step explanation:

try it. because u can only add or subtract with like denominators.

24 minutes are spent working on science homework.

What is the unitary method?The unitary technique entails finding the value by multiplying the single value and then solving the problem using the initial value of a single unit. If an event may take place in m different ways and a second event can take place in n different ways after it, then the two events that follow can take place in m n different ways.

Given,

time spend for homework is

4/5 hours = 4/5×60 = 0.8×60 = 48 minutes

if 1/2 of this time is spent on working science homework

48×1/2= 48×0.5= 24 minutes

Hence, the total minutes spent, working on science homework is 24 minutes.

To learn more about the unitary method, refer to brainly.com/question/23423168

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2. What do I do to an image if I am given this translation:
(x, y) -> (x - 2, y - 3)
O Translate right 2. down 3
Translate right 2, up 3
Translate left 2. down 3
O Translate left 2. up 3

Answers

Answer:

translate left 2, down 3

Step-by-step explanation:

^^^

When solving the system of equations, x + 2y = 15 which expression could be substituted 5x + y = 21for x in the second equation?

Answers

X=3 Y=6

5 x 3 = 15
15 + 6 = 21

3 + (2 x 6) = 15

Distributive Method
(2x+3)(x

Answers

Answer

(2x + 3)=x+7

2x+3=x+7

2x-x=7-3

1x=4

The expression 35+45x represents a trains distance in miles from a terminal after X hours of travel
How far was the train from the terminal at the beginning of the journey?
A.) 35
B.)45
C.)10
D.)80

Answers

Answer:

35

Step-by-step explanation:

If it hasn't started X would be 0 so it be 35+45(0) that would give you 35.

Plz help and Thank you :/

Answers

Answer:

ok that is correct because you start with 25 and then add 9 each week so 25+9w

Step-by-step explanation:

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