Mathematics Middle School

find the mean of the integers
-16,-27,21,-19,14,-3

Answers

Answer 1
To find the mean all you have to do is add all the numbers...
you should get -30
 and divide by a number of numbers, there are 6
 so -30/6 is -5

Related Questions

A safety regulation states that the height h of a guardrail should be 106 centimeters with an absolute deviation of no more than 7 centimeters. Write and solve an absolute value inequality that represents the acceptable heights of a guardrail.

Answers

The expected height is h = 106 cm.
The absolute deviation is 7 cm.

Therefore the range of acceptable heights, h, is
x  ≥ 106 - 7 or x ≥ 99 cm

Also,
x ≤ 106 + 7 = 113 cm

Therefore acceptable heights are defined by
99 ≤ x ≤ 113 cm

Answer:  99 ≤ h ≤ 113 cm

PLEASE HELP!!!!!!
The total cost after tex to repair Betty's car is represented by 0.08(75h) + 75h, where h represents the number of hours it takes to repair the car. What part of the expression represents the amount of tax Betty has to pay? Explain.

Answers

Since the h represents the number of hours spent working on the vehicle then the 75 represents the charge per hour for the work, leaving only the 0.08 which stands for the sales tax percentage which is 8% or 0.08 of the product of $75 times the number of hours worked on the car.

Fill in the blank to make the solution correct

5.6 x _ = -19.04

Answers

If you have -19.04 as the total. Divide 5.6 from it. It will give -3.4

So 5.6*(-3.4)= -19.04

The value of x is -3.4.

Product of Integers

The product of different integers is different as given below.

[tex](+)interger \times (+)interger = (+)interger\\(+)interger \times (-)interger = (-)interger\\(-)interger \times (+)interger = (-)interger\\(-)interger \times (-)interger = (+)interger\\[/tex]

Given to us,

[tex]5.6 \times \_\_} = -19.04[/tex]

Assumption

Let the number be x.

Solution

As we can see the first number is positive while the result is negative, therefore, the other number must be negative as well.

[tex]5.6 \times x = -19.04\\\\x = \dfrac{-19.04}{5.6}\\\\x = -3.4[/tex]

Hence, the value of x is -3.4.

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Please give an equation to this word problem...
1. Kim's age is twice that of her sister. When you add Kim's age to her sister's age, you get 36. How old is each sister?

Answers

I think each sister is 12 because 12+ 24= 36

I'm not entirely sure
Its 12, 12+12=24 and 12+24=36, her sister is 12 years of age.

Which expression is equivalent to -2.1 + (-5.9) + (-3.7) ?

Answers

The first one is the same as your problem

Answer 18, 19, and 20

Answers

Question:

Trent had $20.

He now has $7.50 left.

Let N = price per notebook.

N = (20.00 - 7.50)/5

N = $2.50

Each notebook sells for $2.50.

Is the expression a12 a4 equivalent to a8 a8?

Answers

Final answer:

The expressions a12 a4 and a8 a8 are equivalent because according to the laws of exponents, when multiplying terms with the same base, you add their exponents, resulting in both expressions equating to a16.

Explanation:

The question refers to whether the expressions a12 a4 and a8 a8 are equivalent. These expressions are using the laws of exponents, specifically, the rule which states that when you are multiplying terms with the same base, in this case, a, you add their exponents. Therefore, a12 a4 would actually equal a16 because 12 + 4 equals 16. Similarly, a8 a8 would equal a16 because 8 + 8 equals 16, so yes, these expressions are equivalent as they both simplify to a16.

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estimate 32.4÷3 find the quotent

Answers

The answers 10.
you round 32.4 to 30 then you divide by 3. Thus giving u ten
My estimation would be a little less than 11, around 10.7. The actual quotient is 10.8.

Find the number is 900% of it is 450.

Answers

450 / 9.00
50

Hope this helped!

The number whose 900% is 450 is 50.

What is Algebra?

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

The number is 900% of it is 450.

let the number be x.

900% of x= 450

900/ 100 x= 450

9x = 450

x= 50

Hence, 900% of 50 is 450.

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The volume of a box for earrings is 216 cubic centimeters. What is the length of one edge of the box plz help it's due tm

Answers

I’m pretty positive you divide 216 by 4, since that’s the amount of sides a box normally has. The answer would be 54 cubic centimeters. Please let me know if I’m correct, hopefully this helped.

Answer:

side of the cubic box is 6 cm

Step-by-step explanation:

The volume of a box for earrings is 216 cubic centimeters.

Volume of a cubic box is [tex](side)^3[/tex]

[tex]Volume = a^3[/tex], where 'a' is the side of the cubic box

[tex]216 = a^3[/tex]

Take cube root on both sides

[tex]\sqrt[3]{216} =\sqrt[3]{a^3}[/tex]

Cube and cube root will get cancelled

So 6=a

The side of the cubic box is 6 cm

You want to make a large bowl of salad to share with your friends. Your brother eats 1/3 of it before they come over.

a.) you want to divide the leftover salad evenly among six friends. What expression describes the situation? Exlplain.

Answers

Lets think the entire bowl of salad as 1 unit. Now your brother eats one-third. So the remaining salad is 1 minus 1/3 . And now you want to divide the remaining salad evenly among 6 friends. so it is 1-(1/3) divided by 6. To put it in one single expression, it is (1-(1/3)) / 6

a Navy submarine descended from sea level at a rate of seven feet per second awrite the descendent rate as an integer b.find the submarines elevation after 10 minutes.

Answers

A 7/1 and for B turn minutes into seconds. 10 min * 60 = 600 seconds and now 7 times 600 seconds = 4200 feet

The submarine's elevation after 10 minutes is 4200 feet if the Navy submarine descended from sea level at a rate of seven feet per second.

What is a fraction?

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

It is given that:

A Navy submarine descended from sea level at a rate of seven feet per second writing the descendent rate as an integer.

The rate of drop is 7 feet per second. 7 x 10(60), or 7 x 600, would be the subs elevation.

Consequently, the sub's elevation would be 4,200 feet below sea level.

Thus, the submarine's elevation after 10 minutes is 4200 feet if the Navy submarine descended from sea level at a rate of seven feet per second.

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the second of three numbers is 1 less than the first. The third number is 5 less than twice the second. If the number exceeds the first number by 12, find the three numbers

Answers

The three numbers are found by forming and solving a system of equations: the first number is 19, the second is 18 (which is one less than the first), and the third is 31 (which is 5 less than twice the second and exceeds the first by 12).

To solve the problem of finding the three numbers, we can set up a system of equations based on the information given:

The first number is x.The second number is one less than the first, so it is x - 1.The third number is 5 less than twice the second, which translates to 2(x - 1) - 5.The third number also exceeds the first by 12, so 2(x - 1) - 5 = x + 12.

Now we can solve for x:

2(x - 1) - 5 = x + 122x - 2 - 5 = x + 122x - x = 12 + 2 + 5x = 19

The first number is 19. The second number is 18 (19 - 1), and the third number is 31 (2(18) - 5).

Thus, the three numbers are 19, 18, and 31.

I will give BRAINLIEST to whoever is correct.

Answers

4 is the correct answer
4*4*4

Would you solve the equation 0.25x + 7 = 1/3x -1 using fractions or decimals? Explain. Please help I'm very confused! #40

Answers

You would use fractions in my opinion.
0.25 is easy to change to a fraction. It's 1/4
However, 1/3 is not easy to change to a decimal because it would be the repeating decimal 0.333333(going on forever).

So basically it's just easier to change them both to fractions because 1/3 isn't a terminating decimal.
I would use fractions because 0.25=1/4 but 1/3=0.3333333333333 forever

also, we can cancel fractions by multiplying by the least common denomenator

so, write 0.25x as 1/4x

1/4x+7=1/3x-8
times both sides by 12
3x+84=4x-96
minus 3x both sides
84=x-96
add 96 to both sides
180=x
x=180

I would use fractions

Is a fraction an integer

Answers

A fraction is not an integer.
Nope two completely different thinfs

Matthias walked around the track for 9.28 minutes. What is the value of the digit 2 in 9.28

Answers

The value of the digit 2 in 9.28 is 2/10 because the 2 is in the tenths place

Why does 30+(-8)+(-6) equal 16? I'm so confused on this one

Answers

30+(-8)+(-6)
30-8-6
22-6
16

okay first set up the equation

30 + (-8) + (-6) = 16 

first combine your negative numbers

30 + (-14) = 16

30 - 14 = 16

16 = 16 


Simplify each expression
√3 (√27 - √3)

plz explain how to do it, thx

Answers

√3 (√27-√3)

Simplify Root 27
√3( 3√3-√3)

Combine like terms
√3(2√3)

Multiply
√3* √3= 3
3*2=6

Final answer: 6

In the 2007-2008 season, Dwayne Wade made 439 field goals out of 937 attempts.what was Dwayne wades ratio of successful field goals to attempts?

Answers

439:937 is the ratio

Assume each tick mark represents 1 cm. Calculate the total displacement from 0 if an object moves 3 cm to the left, then 7 cm to the right, and then 6 cm to the left

Answers

Moving 3 cm to the left would be "-3", then 7 to the right makes it "4" and 6 to the left makes it "-2", so it would be 2 centimeters behind 0, the total displacement is "2" (negative doesn't apply because you can't be -2 cm away from something)

Answer:

Calculate the final displacement from 0 if an object first moves 3 cm to the left and then 5 cm to the right.

The final displacement is 2 cm to the RIGHT .

Step-by-step explanation:

6(5-8v)+12=-54 please answer

Answers

Apply the distributive property.6⋅5+6(−8v)+12 = −54
Multiply 6 by 5 to get 30.30+6(−8v)+12=−54
Multiply −8 by 6 to get −48.30−48v+12=−54
Add 30 and 12 to get 42.−48v+42=−54

Subtract 42 from both sides.−48v=−42−54
Subtract 54 from −42 to get −96.−48v=−96

Divide each term -48
-48/-48v=-96/-48

Divide 96 by −48 to get −2v=2

John wants to buy a new game for his computer. He can save $12 a week if he mows his neighbor's lawn and $10 a week if he babysits his nephew. How many weeks will it take John to save enough money to buy the computer game?

Answers

how much does the game cost???????????????????

A figure has vertices E(-3, 1), F(1, 1) and G(4, 5). After a transformation, the image of the figure has vertices at E'(-3, -1), F'(1, -1) and G'(4, -5). Identify the transformation.

a
Reflection across the y-axis.
b
Reflection across the x-axis
c
Rotation
d
Translation

Answers

the answer is b because if plotted on a graph, you will see the figure has reflected across the x-axis

Answer: B

Step-by-step explanation:

Pretty sure

How would you write -4.5 as a rational number in the form of a/b?

Answers

You could really rewrite -4.5 in an infinite amount of ways. But a couple of simple ones: [tex]\frac{-4.5}{1}[/tex] or [tex]\frac{-9}{2}[/tex]

Justin is taking a taxi cab to pick up his car from the auto shop. The taxi service charges an initial fee of $3. There is an additional charge of $0.80 for each mile the taxi drives. How much will it cost Justin if the auto shop is 14 miles away?

Answers

The correct answer would be $14.2
it will cost him $14.20

a container of oregano is 17 pounds heavier than a container of peppercorns.253 pounds.the peppercorns will be sold in one ounce bags how many one ounce bags can be made?

Answers

It would be 4,048 bags made because there are 16 ounces in 1 pound. 253 multiplied by 16 is 4,048.

I don't know how to do this, please explain why to. Thx

Answers

You would just do inverse operations. The answer would be x = -54
Multiply the entire thing by-3 so there are no fractions, this will equal x+24=-30. Now isolate x. Subtract 24 from each side so you will come out with x=-54

What is the answer to 4+4-(5-1)

Answers

your answer would be 4 you go with P.E.M.D.A.S so (5-1)= 4 then 4+4=8-4=4

Choose either the SSS Postulate or the SAS Postulate and explain in your own words how you use that postulate to prove two triangle are congruent.

Answers

Let's use the SAS postulate! SAS means Side, Angle, Side. I would sometimes write this the other way and get in trouble, haha. 
It technically means if a triangle that has a congruent angle between two congruent sides, it means it is congruent. Here is a picture. 
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