The square root of 5 is between which two integers

Let's solve your equation step-by-step.

|2z − 9| = 1

Solve Absolute Value.

|2z − 9| = 1

We know either 2z − 9 = 1 or 2z − 9 = −1

2z − 9 = 1 (1 is a possibility)

2z − 9 + 9 = 1 + 9 (Add 9 to both sides)

2z = 10

2z /2  =  10 /2   (Divide both sides by 2)

z=5

2z − 9 = −1 (Possibility 2)

2z − 9 + 9 = −1 + 9  (Add 9 to both sides)

2z = 8

2z /2   =   8 /2   (Divide both sides by 2)

z = 4

1

Two solutions were found :

    z=5

    z=4

Absolute Value Equation entered :

     |2z-9|=1

Step by step solution :

Step  1  :

Rearrange this Absolute Value Equation

Absolute value equalitiy entered

     |2z-9| = 1

Step  2  :

Clear the Absolute Value Bars

Clear the absolute-value bars by splitting the equation into its two cases, one for the Positive case and the other for the Negative case.

The Absolute Value term is |2z-9|

For the Negative case we'll use -(2z-9)

For the Positive case we'll use (2z-9)

Step  3  :

Solve the Negative Case

     -(2z-9) = 1

    Multiply

     -2z+9 = 1

    Rearrange and Add up

     -2z = -8

    Divide both sides by 2

     -z = -4

    Multiply both sides by (-1)

     z = 4

    Which is the solution for the Negative Case

Step  4  :

Solve the Positive Case

     (2z-9) = 1

    Rearrange and Add up

     2z = 10

    Divide both sides by 2

     z = 5

    Which is the solution for the Positive Case

Step  5  :

Wrap up the solution

z=4

z=5

brainliest plzz

The equation created from this situation would be 109=3+n+n+4+3+n

Solve for n and n would be 33

The numbers would be 33, 36, and 40.

Answer:

Line AB.

Step-by-step explanation:

Since we know that a line is a set of continuous points and it extends in both directions infinitely.

We can name a line either by a single small case letter or by labeling endpoints.

We can see that point A and point B lies on line m. We can name line m as line AB.

Therefore, another name for line m is line AB.

d. 10

8+1=9

90/9=10 people voted in all

Answer: a) 80

Step-by-step explanation:

8: 1

8+1= 9

8/9 × 90

=8 × 10 = 80

43 and 57. Because 43 is 3 above 40 and 57 is 3 below 60.

Jonathanpalafox67,

In order to get your answer you must first know what each of the options are.

A proper fraction is a fraction where the numerator is smaller than your denominator. A improper fraction is a fraction where the numerator is greater than the denominator. A mixed number is a fraction mixed with a whole number.

Therefore your answer is the second option "improper fraction."

Hope this helps!

Answer:

A proper fraction is a fraction where the numerator is smaller than your denominator. A improper fraction is a fraction where the numerator is greater than the denominator. A mixed number is a fraction mixed with a whole number.

Therefore your answer is the second option "improper fraction."

Hope this helps!

If you have 104 students in the beginning and then 15 are absent, that's as simple as saying 104 - 15.

And 104 - 15 = 89

This is what the problem looks like: 104 - 15 = ?

Your answer is 89.

because you make them all improper fractions

Multiplying a whole number by a mixed number involves the same principle as multiplying two mixed numbers in maths. Both first require converting the numbers into improper fractions, then multiplying the numerators together, and the denominators together, and finally simplifying the result.

In mathematics, multiplying a whole number by a mixed number is fundamentally the same as multiplying two mixed numbers because both processes follow the same principle. Let's break it down step by step: First, both whole numbers and mixed numbers can be converted into improper fractions. For example, if you are multiplying 3 (a whole number) by 2 1/2 (a mixed number), you would first convert them into improper fractions. So, 3 becomes 3/1, and 2 1/2 becomes 5/2.

Then, you would multiply the numerators (top numbers) together and the denominators (bottom numbers) together, i.e., (3 * 5)/(1 * 2) = 15/2. Then, you simplify the fraction if needed.

The same process applies when multiplying two mixed numbers, for example, 2 1/2 * 1 1/4. Convert them to improper fractions (5/2 * 5/4), then multiply the numerators and denominators and simplify the result. Thereby, the principles of multiplication and conversion of numbers apply identically in both scenarios.

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The cube volume is 10x10x10 inch3, so the base area is 10 inch x10 inch. On the other hand, we know that 1 square foot = 1 foot x 1 foot = 12 inch x 12 inch, so that is  *greater* than the cube base.

Answer:

area of the base of the cube is smaller than 1 square foot

Step-by-step explanation:

since the volume of the cube is 1000 in^3 then its side must be (1000)^{1/3}

which is equal to 10 in

now, we know that area of the base of the cube will have an square cross section area= side^2

there area of base of the cube = 10^2= 100 sq in

now 1 foot= 12 in

therefore, 1 square foot = 12*12 square in = 144 sq in

clearly, area of the base of the cube is smaller than 1 square foot.

hope you liked the explanation.

Answer:

It increases, because if the first ball is left in a red section, there is less red area for the second ball to land on. - trust

Step-by-step explanation:

The range of a graph is the high-and-low points of the graph on the y-axis.

The high point looks like it is at y = 5. The low point appears at y = - 9

Option D is your answer.

Answer:

The range is:

 -9≤y≤5

Step-by-step explanation:

We have to find the range of the graphed function.

Here, the scale is of 2 units

The range is calculated as the values between the smallest value and the largest value

The smallest value graph attains is:  -9

and the largest value graph attains is: 5

Hence, the range is:

 -9≤y≤5

The fraction of 3.88888 will be [tex]3\frac{11111}{12500}[/tex]

The steps are as follow:

[tex]3.88888= \frac{3.88888}{1}\\ \frac{3.88888}{1} * \frac{100000}{100000} \\ \frac{388888/8}{100000/8} = \frac{48611}{12500}\\ 3\frac{11111}{12500} \\\\3.88888=3\frac{11111}{12500}[/tex]

So the fraction of 3.88888 will be [tex]3\frac{11111}{12500}[/tex]

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The answer is b. k=64 t=52.

Answer:

1) Option C - 39 inches

2) Option C - 12167 cubic feet

Step-by-step explanation:

1) Given : Joy knits a square blanket that has an area of 1,500 square inches

  To find : What is the approximate length for each side of the blanket.

  Solution: Area of square = 1500 square inches

Let the side of the blanket = s

Formula of area of square is [tex]A= s^2[/tex]

[tex]1500= s^2[/tex]

[tex]s= \sqrt{1500}[/tex]

[tex]s=38.7[/tex]

Approximately Side of blanket = 39 inches

Therefore, Option C is correct.

2) Given : Jeff is an architect and is drawing the plan for a room addition for a client. If the shape of the room is a cube.

  To find : what is the volume in cubic feet if the length is 23 feet?

  Solution: Length of side of a cube (a)= 23 feet

Let the volume of a cube = V

Formula of Volume of cube is [tex]V= a^3[/tex]

[tex]V= (23)^3[/tex]

[tex]V= 12167[/tex]

Volume of a cube = 12167 cubic feet

Therefore, Option C is correct.

The approximate length for the blanket is given as 27  inches. Option B

The volume of the room addition is 12167 cubic feet (option C)

Let's solve each problem:

1. Side length = √(Area)

Side length = √(1500 square inches)

Side length ≈ √(25 * 60) square inches

Side length ≈ 5√60 inches

This can be simplified further, but as an approximate answer, the length of each side is approximately 27.39 inches.

Approximately B.27 inches

2. Volume = (Side length)³

Volume = (23 feet)³

Volume = 12,167 cubic feet

So, the volume of the room addition is 12167 cubic feet (option C).

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do you mean how do you write it? If so, 2/3x-12

Answer:

Step-by-step explanation:

Problem A

3x - 5 + x = 2x - 3 + 2 + 2x

Bring like terms close to each other so they can be combined on both the  left and right sides.

3x + x - 5 = 2x+ 2x - 3 + 2      Combine like terms

4x - 5 = 4x - 1                          Stop. Nothing more is going to work and give you anything but  No Solution. You will wind up with - 5 = - 1 which is a contradiction.

Number of Solutions: None

Classification:  Contradiction  

Problem B

4x + 5 - 6x = -x + 3 - x + 2 Bring like terms close to each other so they can be combined on both the  left and right sides.

4x - 6x + 5 = -x - x + 3 + 2

-2x + 5 = - 2x + 5               Stop!!!

This will give an infinite number of solutions. Suppose x = 200. Then you will get

-2*200 + 5 = -2 * 200 + 5

- 400 + 5 = - 400 + 5

- 395 = - 395   No matter what you use, the same thing will happen. The equation is an identity. Identities are really useful when you are checking equations. The left side should always come out to be the right side.

Number of Solutions: Infinite

Classication: Identity.

Problem C

8x + 2 - 6 = 4x +8 +3x     Bring like terms close to each other so they can be combined on both the  left and right sides.

8x + 2 - 6 = 4x + 3x + 8     Combine like terms.

8x - 4 = 7x + 8                    Subtract 7x from both sides

8x - 7x - 4 = 7x - 7x + 8      Combine like terms

x - 4 = 8                               Add 4 to both sides

x = 4 + 8

x = 12

Solutions: 1

Classification: Neither. But it is actually classified as a conditional equation if it has 1 legitimate solution.

Note: I really hope I have not wasted your points.

If you are looking to write an inequality equation that models this situation, then the answer would be: [tex]5+2x\leq 27[/tex].  The "at most" signals to use the less than or equal to sign.

The number is 11 if the sum of 5 and twice a number is at most 27 the answer is 11.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

The question is incomplete.

The complete question is:

The sum of 5 and the twice a number is at most 27.

What is the number?

Let the number is x

A number is a mathematical entity that can be used to count, measure, or name things. For example, 1, 2, 56, etc. are the numbers.

We can frame a linear equation in one variable.

2x + 5 = 27

2x = 27 - 5

2x = 22

x = 22/2

x = 11

Thus, the number is 11 if the sum of 5 and twice a number is at most 27 the answer is 11.

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If A=2 and B=3, then AB would be 23. 23 squared is 529.

Hey there!!

Given :

The total cost for 2 pairs of pants and 5 shirts is $61.

The total cost for 3 pairs of paints and 4 shirts is $67.

Let's take the cost for each pair of paints as 'p' and the cost for each shirt as 's'.

Now, let's get these into an equation.

Peter's equation :

... 2p + 5s = 61

Jessica's equation :

...3p + 4s = 67

......................................................................................................

2p + 5s = 61 --- (1)

3p + 4s = 67 --- (2)

Multiply the first equation with 3 and the second equation with 2.

6p + 15s = 183

6p + 8s = 134

Subtract both the equations -

... 7s = 49

Divide both sides with 7.

... s = 7

Hence, the cost of each shirt is $7.

Hope my answer helps!!

For this case we have an expression of the form:

[tex]a + b (x-c)\\[/tex]

We then define the following variables:

a: represents the base salary

b: is the percentage of sales commissions

c: It is a cutoff point to obtain or not commission.

If x> c: you get commission

If x ≤ c: you do not get commission

Thus, x represents the amount of sales made above $ 300.

Answer:

option 1

[tex]|n-3|=5\iff n-3=5\ \vee\ n-3=-5\qquad|\text{add 3 to both sides}\\\\n=8\ \vee\ n=-2[/tex]

The solution for the equation |n-3|=5 is n=8, -2. These two points, when graphed on a number line represent the solution set.

In Mathematics, the absolute value of a number can have two possible solutions because it represents the distance from zero, and distance is always positive. To solve the equation |n-3|=5, we need to break it down into two separate equations.

When the term inside the absolute value (n-3 in this case) is positive, the equation is simply n-3=5. Solving for n gives n=8.

When the term inside the absolute value is negative, the equation is -(n-3) = 5, or equivalently, 3-n=5. Solving for n in this case gives n=-2.

So the solution set for n is {8, -2}. To graph the solution set on a number line, draw a number line from -3 to 9 and put closed dots at n=-2 and n=8.

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2.6 x 8

This will equal to 20.8 pounds

Why hello there

Your question: A package weighs 2.6 pounds how much do 8 of the same sized packages weigh

My answer: Well this answer is pretty simple. They key words are 2.6 8 and 8 of the same sized packages weigh. So you can conclude that you are multiplying.

Heres the equatiton for a better understanding

2.6 * 8 = 20.8

So your answer is 20.8

Important: If my answer did help you understand or even pass please mark me as brainliest thank you and have the best day ever!

If Anne gave birth to four males and four females, and they all gave birth the same way again, they would have eight males, but if it were to happen again, there would be 12 males and 12 females in total if you don't count all of the females giving birth EACH to four males and four females. Otherwise it would be 40 males, and 40 females.

24 male mice trick question

Answer:

Greatest vales is 81 which furthest to right on number line.

Step-by-step explanation:

Given  :  {56, 39, 74, 81, 62}.

To find : Which of the following numbers is greatest, or furthest to the right on the number line?

Solution : We have given {56, 39, 74, 81, 62}.

We know that on the number line left side from the zero is negative values and right sides of zero are positive values.

As we move forward in right sides vales increaes.

Lesser vales come at left and greater values comes at right.

39 ,56 ,62 ,74 ,81.

Greatest vales is 81 which furthest to right on number line.

Therefore, Greatest vales is 81 which furthest to right on number line.

Law of detachment is used when you have a conditional statement and another statement that matches the hypothesis of the conditional. ... Law of syllogism is used when you have two conditionals and the hypothesis of one matches the conclusion of the other.

Final answer:

In geometry, the law of syllogism allows for the combination of two conditional statements to reach a conclusion, while the law of detachment allows us to derive a conclusion from a known hypothesis and a conditional statement.

Explanation:

The Law of Syllogism and Detachment in Geometry

Both the law of syllogism and the law of detachment are forms of deductive reasoning used in geometry. The law of detachment is a process where we derive a conclusion from a single conditional statement and its hypothesis. For example, if we have a statement 'If a figure is a square, then it has four equal sides', and we know that a given figure is a square, we can deduce that this figure has four equal sides.

The law of syllogism, on the other hand, allows us to combine two conditional statements to derive a new conclusion. If we have two true statements, such as 'If an angle is acute, then it is less than 90 degrees' and 'If an angle is less than 90 degrees, then it is not a right angle', we can then conclude that 'If an angle is acute, then it is not a right angle'.

These laws form the backbone of logical reasoning in mathematics, allowing us to connect premises to reach valid conclusions and build upon established theorems and properties in geometry.