1/2 + 3/4 divided by 1/8

Answer: 1/4 and 4

Step-by-step explanation:

Let √x = u

2u^2 - 5u + 2 = 0

Solve for u

(2u-1)(x-2)=0

u = 1/2 and 2

Since you want x, square u to cancel the square root.

(1/2)^2 = 1/4

(2)^2 = 4

Your answers are 1/4 and 4

The horizontal example is a line that runs from side to side, such as the horizon or the x-axis of a graph.

A horizontal relationship is a type of relationship between two or more entities that are on the same level. This type of relationship is often characterized by competition. For example, two companies which are both competing for the same market share would be in a horizontal relationship with each other. This type of relationship usually involves collaboration on certain projects, but ultimately the two entities are in direct competition with each other. This type of relationship can be seen in business, politics, and other areas of life. It is important to remember that a horizontal relationship does not have a hierarchical structure, which is often seen in vertical relationships. This type of relationship is based on mutual interests and is usually characterized by competition and the drive to be better than the other entity.

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Rodas will be exactly twice as old as her brother after 15 years.

We are trying to find the number of years until Rodas is exactly twice as old as her brother. Let's call this number of years "x".

Currently, Rodas is 25 years old and her brother is 10 years old. We know that Rodas' age in x years will be 25 + x, and her brother's age will be 10 + x. We want to find the value of x such that:

25 + x = 2(10 + x)

Simplifying the equation and solving for x, we get:

25 + x = 20 + 2x

x = 15

So Rodas will be exactly twice as old as her brother after 15 years.

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The question is -

Rodas is 25 years old and her brother is 10 years old. After how many years will Rodas be exactly twice as old as her brother?

Answer:

C

Step-by-step explanation:

1+3=4

1>0

3>0

so C is correct

A variety of formats can be used to display the outcome.

30 √3 − 21 √6 in exact form; 0.52223962 in decimal form.

The sentence is as follows:

3√2 (5√6 -7√3)

Because the numbers inside the radicals are not the same, we cannot subtract the values inside the bracket.

Therefore, multiply 32 using the bracket.

=3*5√2*6 - 3*7√2*3

=15√12 - 21√6

Break now to 12

Put the distributive property to use.

3√2 ( 5 √6 ) + 3 √ 2 ( − 7 √ 3 )

Do a 3 x 2 (or 5 x 6) multiplication.

Less steps by tapping...

3 x 5 is the multiplication.

15 √ 2 \√ 6 + 3 √2 (− 7 √ 3 )

combining while adhering to the radical product rule.

15 √ 6 ⋅ 2 + 3 √ 2 ( − 7 √ 3 )

Do a 2x6 multiplication.

15 √ 12 + 3 √ 2 ( − 7 √ 3 )

Do a 3 x 2 (or 7 x 3 ) multiplication.

Less steps by tapping...

Add 3 to 7 to multiply.

15 √ 12 − 21 √ 2 √ 3

combining while adhering to the radical product rule.

15 √12− 21 √ 3 ⋅ 2

Add 3 and 2 together.

15 √12 − 21 √6

Condense each phrase.

Less steps by tapping...

2 ²3 should be used in place of 12.

To continue, tap the screen.

15 √2 ² ⋅ 3− 21 √6

Extricate the radical from the words.

15 ( 2 √3 )

− 21√6

Add 15 to the number 2.

30 √3 − 21 √6

A variety of formats can be used to display the outcome.

30 √3 − 21 √6 in exact form; 0.52223962 in decimal form...

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Serenity's age is 13 and Grayson's age is 14

Consecutive integers are whole numbers that follow each other without gaps. For example, 15, 16, 17 are consecutive integers.

Given that, Serenity is younger than Grayson, their ages are consecutive integers, the sum of the square of Serenity's age and 4 times Grayson's age is 225.

Let the age of Serenity be x, that of Grayson (x+1)

Therefore,

x² + 4(x+1) = 225

x² + 4x + 4 = 225

x² + 4x -221 = 0

Factorizing, we get,

x = 13, -17

Since, age can not be negative therefore, neglecting -17,

Thus, Serenity's age is x = 13 and Grayson's age is x+1 = 14

Hence, Serenity's age is 13 and Grayson's age is 14

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If we multiply both numerator and denominator of the first ratio by 3, we will get the second ratio, thus, these are equivalent.

For any ratio:

a/b

If we multiply both numerator and denominator by the same real number, we will get an equivalent ratio.

In this case, we can start with the smaller of the two ratios:

1/6.

Now we can multiply both numerator and denominator by 3, then we will get:

(3*1)/(3*6) = 3/18

So yes, the ratios 1/6 and 3/18 are equivalent.

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To determine the entire deposit amount if you want to receive cash back, deduct the amount from the subtotal.

Deposits are the sum of all deposits as of the Closing Date, plus accrued and unpaid interest on those deposits up to the Closing Date's closure of business; exemplars 1 and 2 Deposits and certificates of deposit together make up total deposits.

Current Account, Recurring Accounts, Savings Accounts, and Fixed Deposit Accounts are the four standard types of bank deposits in India. Every type has benefits. Demand and time deposits are the two different sorts. An ordinary bank and savings account is a demand deposit.

A demand deposit account allows you to take money out at any time. Time deposits, such as certificates of deposit, are investments with a specified term and typically fixed interest rates.

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Answer:

[tex]\huge\boxed{\sf n = -1}[/tex]

Step-by-step explanation:

2(2n - 1) = -(n + 7)

4n - 2 = -n - 7

4n + n - 2 = -7

5n - 2 = -7

5n = -7 + 2

5n = -5

n = -5/5

n = -1

[tex]\rule[225]{225}{2}[/tex]

Answer:

B.25.............. uhjii

The side MN have the value of x = 4, and for the side LM have the value x = 5 for the similar polygons ABCD and LMNP.

The polygons ABCD and LMNP are similar so:

angle A is equal to angle L

angle B is equal to angle M

angle C is equal to angle N

angle D is equal to angle P

side MN = side BC

x + 6 = 10

x = 10 - 6 {subtract 6 from both sides}

x = 4

side LM = side AB

x + 9 = 14

x = 14 - 9 {subtract 9 from both sides}

x = 5

Therefore, the x = 4 for the side MN and x = 5 for the side LM for the similar polygons ABCD and LMNP.

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The only option that represents a fraction not equivalent to 4/8 is; C: 12/32

To get the ratio that is not equivalent to 4/8, we need to first of all reduce 4/8 to the barest minimum. Thus;

Let us divide both numerator and denominator by 4 to get;1/2

Let us access each of the options;

A) 1/2 is same as the simplified form of 4/8 as seen above and so it is equivalent to 4/8

B) 9/18;

Divide numerator and denominator by 9 to get 1/2 which is same as the simplified form of 4/8 as seen above and so it is equivalent to 4/8

C) 12/32;

Divide numerator and denominator by 4 to get 3/8 which is not the same as the simplified form of 4/8 as seen above and so it is not equivalent to 4/8

D) 18/36;

Divide numerator and denominator by 18 to get 1/2 which is same as the simplified form of 4/8 as seen above and so it is equivalent to 4/8.

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Complete question is;

Which of the following ratios is NOT equivalent to 4/8?

A) 1/2

B) 9/18

C) 12/32

D) 18/36

Answer: 4/12 = 8/24

Step-by-step explanation:

okay so these are fractions so it’s like 4/12 or 8/24 because smaller over longer but you can also do longer over shorter the fractions have to equal each other so you could also do 12/4 = 24/8

As x approaches positive infinity, the function m approaches 0.

To determine this:

In both cases, as x becomes very large in either the positive or negative direction, the value of the function m approaches 0. This is because the function m has been transformed in such a way that it approaches 0 as x becomes very large. This could be due to factors such as the presence of a constant or a coefficient that causes the function to approach 0 as x becomes very large, or due to the presence of a term in the function that cancels out other terms as x becomes very large. Regardless of the specific reason, the result is that the function m approaches 0 as x approaches both positive and negative infinity.

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The equations that show the properties of the exponents are a, c and d.

The exponents of a number are defined as the representation of a number that shows how many times a number is multiplied by itself.

We know that there are few properties that are common to the numbers that appear in the exponential form. We shall look at some of those properties.

1) when we have

[tex](ab)^x[/tex], it is the same as [tex]a^x b^x[/tex]

2) When we have [tex]b^2 \times b^x[/tex], it is the same as b² + x

3) When we have; x^-2, it is the same as 1/x²

These are the basics of the properties of the exponents as we can conclude in the question and these obey the properties of the exponents.

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From the given circle image, we can say that the two lengths that must form the ratio of 1:2 is; d. AH:HI

From the image attached, we are given that Point A is the center of the circle.

Let us access each of the options to find out which one of the two lengths must form a ratio of 1:2;

Option a. HI:EF

We see that both HI and EF are diameters of the circle. Thus, their ratio cannot be equal to 1:2.

Option b. EF:AD

We see that EF is the diameter while s the radius, we can say that;

Diameter = 2 × Radius

Thus;

EF : AD = 2:1

Option c: AD : AH

We see that both D and AH are radius and as such their ratio can never be 1:2.

Option d : AH:HI

We see that AH is the radius while HI is the diameter. Thus, their ratio will be; AH:HI = 1:2

Option e; BC:HI

We see that BC is a chord and we are not given its' length and so we can't ascertain if it forms a ratio of 1:2 with HI

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Step-by-step explanation:

When an iron rod is cut into equal pieces of 30 cm each, a piece of 4 cm is left out. When cut into equal pieces of 29 cm, a piece of 13 cm is left out. The minimum length of rod is

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A 5 metre long piece of cloth is cut into three smaller pieces. How long is the longest of the three pieces? Given that:

I. One piece is 2.90 metre long.

II. One piece is 90 cm longer than another piece and the remaining piece is 20 cm long

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A piece of wire 12 m long is cut into two pieces, one piece is 4.29 m long. What is the length of the other piece?

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A rope 5 m 75 cm long is cut into two pieces. If one piece is 2.25 m long find out the length of the other piece.

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A piece of wire. 2

4

3

metres long, broke into two pieces. One piece is

8

5

metre long. How long is the other piece?

$146250 Akeo will earn his fifth year since he acquires 45 percent of the market.

Rather than being expressed as a fraction, a percentage is a piece of a whole expressed as a number between 0 and 100. Nothing is zero percent; everything is 100 percent; half of something is 50 percent; and nothing is zero percent.

Given, A pet grooming shop has been established by Akeo Goto. He calculates that the local pet grooming sector generates around $325,000 in annual sales. In the town, there are two other pet-grooming shops.

Since Akeo goto acquires 45% of the market in the fifth year.

Thus his revenue for fifth year = 45% of  325000

his revenue for fifth year = (45*325000)/100 = 146250

Therefore, $146250 Akeo will be paid for his fifth year after acquiring 45 percent of the market.

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The sheet of the rectangular metal is worth $400.

The area of rectangle is given by -

Area = Length x Breadth

{A} = {L} x {B}

Given is that a rectangular sheet of metal measures 8 inches by 10 inches. The metal is worth $5.00 per square inch.

The area of the rectangular sheet is -

A = 8 x 10

A = 80 square inches

The total cost of the metal sheet will be -

C{S} = 80 x 5

C{S} = 400

Therefore, the sheet of the rectangular metal is worth $400.

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The following number 8546 can be written in scientific notation as: 8.546*10^3.

Using scientific notation, one can express extremely big or extremely small values. When a number between 1 and 10 is multiplied by a power of 10, the result is represented in scientific notation. For instance, 650,000,000 can be represented as 6.5 ✕ 10^8 in scientific notation.

Numbers that are either too large or too little to be conveniently stated in decimal form can be expressed using scientific notation.

We were given the value,  8546 by following the explanation above we have 8.546*10^3

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The maximum value of x2y is 3600 and the value of x for this maximum value is 60.

The given equation is xy = 60. This equation can be rearranged to x = 60/y. Therefore, the maximum value of x2y is when x is at its maximum value.

xy = 60

x = 60/y

To find the maximum value of x, we substitute the value of y with 1, as 1 is the lowest possible value for y. Thus, x = 60/1 = 60. Therefore, the maximum value of x2y is 60 x 60 = 3600 and the value of x for this maximum value is 60.

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Answer: y = -4.5x

Step-by-step explanation:

        To see if there is a direct variation, we will check to see if there is a direct proportionality constant (usually represented by k). We will find this by dividing the y by x for each row.

                 45/-10 =  -4.5

                 -4.5/1 = -4.5

                 -27/6 =  -4.5

        We see that this direct proportionality constant value is -4.5. This means the equation is;

           y = -4.5x

        We can also check our answer by graphing. I have graphed y = -4.5x and plotted all the given points. See attached. All of the given points do, and should if we are correct, fall on the line.

The function rule for the triangle in discuss is; A (h) = 4h² - 5h.

The area of the triangle when it's height is 5cm is; 75cm².

Since the base, b of the triangle is 10cm less than the height h of the triangle; it follows that;

b = 8h - 10

Also, since the area of a triangle is given as;

A = 1/2 × b × h

Therefore, the function rule which represents the area of the triangle is;

A (h) = 1/2 × (8h - 10) × h

A (h) = 4h² - 5h

Hence, it follows that when the height, h of.tge triangle is; 5cm, the area of the triangle is;

A (5) = 4 (5)² - 5 (5)

A (5) = 100 - 25

A (5) = 75 cm².

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Answer:

1/(2p4)1/3

Step-by-step explanation:

The value of $m$ is $43$.

The equation $6^{-1}\equiv 6^2\pmod m$ implies that $6^{-1}$ is a valid inverse of $6$ modulo $m$. This means that multiplying $6^{-1}$ by $6$ must result in the remainder $1$ when divided by $m$.

To find the value of $m$, we can then set up the equation:

                                $0\equiv 215\pmod m$

and find all possible values of $m$ that make this equation true.

Multiplying $6^{-1}\equiv 6^2\pmod m$ by $6$, we get $1\equiv 6^3\pmod m$, so $0\equiv 215\pmod m$. So, $m$ must be a divisor of $215$. The only 2-digit divisor of $215$ is $43$.

Therefore, $m$ is a two-digit number, the only possible value of $m$ is $43$.

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Answer:

Step-by-step explanation:

+5

Answer: 17.

Step-by-step explanation: 429 divided by 25 = 17.16 so rounding that would just be 17.

The algebraic expressions are defined as follows:

a. 6 + z.

b. 20 - x.

c. (x/6) - 8.

d. (x + 5)/4.

The sum of two terms is defined by an addition operation, hence the sum of 6 and z is given as follows:

6 + z.

The difference between two terms is given by the subtraction of the two terms, hence the difference between 20 and x is given as follows:

20 - x.

The quotient of x and 6 is given as follows:

x/6.

Eight less than the quotient means that it is subtracted by eight, hence:

(x/6) - 8.

The increase of x by 5 is given as follows:

x + 5.

Then the division by 4 is of:

(x + 5)/4.

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