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The solutions of the equation given as (2x - 4)(x + 5) = 0 are x = 2 or x = -5

Equations are mathematical expressions that have the same value when compared

From the question, we have the following equation that can be used in our computation:

(2x - 4)(x + 5) = 0

To start with:

We start by splitting the equation

So, we have the following representation

(2x - 4) = 0 or (x + 5) = 0

Next, we remove the brackets

So, we have the following representation

2x - 4 = 0 or x + 5 = 0

Next, we isolate the variables

This is done as follows

2x = 4 or x = -5

Divide both sides by the coefficient of the variable

This gives

x = 2 or x = -5

Hence, the solutions to the equation are x = 2 or x = -5

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Answer:

Ray walks 15 minutes prior to his sister and walk for 5 minutes to catches up

Step-by-step explanation:

The computation of the time taken is as follows:

Let us assume the Ray time be t

So his sister time would be t - 10

Since Ray distance is 2t

So his sister distance is 6(t - 10) = 6t - 60

As the distance is the same

So, the following equation must be made    

2t = 6t - 60

 -4t = -60

t = 15

Therefore Ray walks 15 minutes prior to his sister and walk for 5 minutes to catches up

In the case above, the value of the overhead rate for the second quarter is $17,640.

Note that:

In the case above, for one to be able to calculate the predetermined overhead rate, a person need to divide the value of the  estimated overhead costs which is $52,500 by that of the estimated direct labor hours .

Predetermined overhead rate=Estimated overhead costs/ estimated direct labor hours

Predetermined overhead rate=$52,500/  12,500

Predetermined overhead rate=$4.20/DLH overhead rate

Hence:  $52,500/ 12,500 =   $4.20/DLH overhead rate.

Since the Overhead that was applied at standard hours was said to be allowed, then:

= $4.2 x 2,400 x 1.75

= $17,640.

Therefore, In the case above, the value of the overhead rate for the second quarter is $17,640.

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Answer:

The answer is 7.1cm to 1d.p

Step-by-step explanation:

Area of square =L²

25=L²

√L²=√25

L=5cm

hyp²=opp²+adj²

x²=5²+5²

x²=25+25

x²=50

√x²=√50

x=7.1cm to 1d.p

Answer:

9

Step-by-step explanation:

Anything past the decimal point would be less than a whole. Anything before the decimal point is a whole number. Since 9 is before the decimal number, it is a whole number

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Answer:

(24x - 48y + 10) / 26 = a

Step-by-step explanation:

-12(-2x+4y) = 26a - 10

24x - 48y = 26a - 10

24x - 48y + 10 = 26a

(24x - 48y + 10) / 26 = a

Answer:

Step-by-step explanation:

The expression 2x - 11x - 6 can be simplified as follows:

2x - 11x - 6 = -9x - 6

So, the equivalent expression is -9x - 6.

The answer is:

-9x - 6

Work/explanation:

To simplify this expression, we combine the like terms :

\(\huge\text{2x - 11x - 6} \\ \\ \\ \text{-9x - 6}\)

There's nothing that we can do for this expression. It's been simplified as much as possible.

Answer:

(0,4) is the answer hope it helps

Answer:

they differ when they are in different sign's but Will be same if the division sign change and the forward number will be reciprocal so it will be the same

9514 1404 393

Answer:

  15

Step-by-step explanation:

When the smaller number is a divisor of the larger one, it is their highest common factor.

  HCF(15, 45) = 15

Step-by-step explanation:

Answer is in the photo

Hope it helllps

Good luck

The division of the number 405 in the ratio 4:11 is 297 and 108 respectively.

An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. The numerical relationship between two values demonstrates how frequently one value contains or is contained within another.

Given that the ratio is 4:11. the number is 405 which has to be divided by the ratio.

Let the common ratio between the numbers is x. Form an equation and solve for x.

4x + 11x = 405

15x = 405

x = 405 / 15

x = 27

The numbers are,

4x = ( 4 x 27 ) = 108

11x = ( 11 x 27 ) = 297

Therefore, the division of the number 405 in the ratio 4:11 is 297 and 108 respectively.

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The sum of the geometric progression is the sum S₃ = 32

The sum of terms of a geometric progression is given by

Sₙ = a(rⁿ - 1)/(r - 1) where

Given the geometric progression, aₙ = 4(2)ⁿ⁻¹ comparng it with the general term of a geometric sequence aₙ = arⁿ⁻¹, then

Now, we desire S₃, that is Sₙ when n = 3.

So, S₃ = a(r³ - 1)/(r - 1)

= 4(2³ - 1)/(2 - 1)

= 4(8 - 1)/1

= 4(8)

= 32

So, the sum S₃ = 32

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Answer:

790

Step-by-step explanation:

7098uuilu4645

Answer:

8

Step-by-step explanation:

The green team has 11 9-year-olds, so the red team has 2 * 11 = 22 10-year-olds.

Since each team has 15 players, the red team has 15 - 22 = -7 more 10-year-olds than the maximum number of players it can have.

Therefore, the red team must have 22 - 7 = 15 - 7 = 8 9-year-olds.

Answer:

15.99 is better

Step-by-step explanation:

because when working with dividing decimals we need to make it a whole number so we would move it over to the right till it is a whole number (which is two spaces) but first we need to put our decimal in our quotient so two spots. and 1499 divided by 64 equals 23.421875 and 1599 divided by 80 equals 19.9875 so the 15.99 dollar one is a better deal.

Answer:

2x + 3 =84

Step-by-step explanation:

Answer:

2x + 3 = 84

Step-by-step explanation:

Answer:

Step-by-step explanation:

secθ = 1/cosθ

cosθ = 0 for π/2, 3π/2

secθ is undefined for θ = π/2, 3π/2

Omitted value: The price of children ticket was omitted in the question, so i used $8 to solve. You can input the correct value and solve the same way following the steps.

Answer: 100 adult tickets  must be sold.

Step-by-step explanation:

step 1

let  x represent Adults

AND y represent children

Since the theater seats 250 people we have that

x+y = 250..... equation 1

Also price for Adult ticket = $11

and  price children ticket =$8

With total sales at $2,300, we have that

11x + 8y= 2300----- equation 2

Step 2

Making y subject in equation 1

' x+y = 250

y= 250-x

Putting y= 250- x in equation 2

11x + 8(250-x)= 2300

11x +2000-8x= 2300

11x -8x = 2300-2000

3x= 300

x 300/3

x= 100.

To find y

 x+y = 250

100+y=250

y=250-100

y=150

Therefore 100 adult tickets and 150 children tickets must be sold to get a total sales of $2,300

Answer:

1,300

Step-by-step explanation:

1256, if something is more than 5 then it goes up but if it's 4 or lower it goes down so 1256 rounded up to the nearest hundredth is 1300.

Answer: 1300

1256, if something is more than 5 then it goes up but if it's 4 or lower it goes down so 1256 rounded up to the nearest hundredth is 1300

Step-by-step explanation:

The missing ordered pairs that satisfy the equation y = 2x + 4 are (3, 10) and (2, 8).

The equation given is y = 2x + 4. To compute the missing x and y values, we need to substitute the given ordered pairs into the equation and solve for the missing variable.

Let's assume we have an ordered pair (x, y) that satisfies the equation y = 2x + 4.

For example, let's say one missing value is x = 3. We can substitute this into the equation:

y = 2(3) + 4

y = 6 + 4

y = 10

So, the missing ordered pair is (3, 10).

Similarly, if another missing value is y = 8, we can substitute this into the equation and solve for x:

8 = 2x + 4

4 = 2x

x = 2

So, the missing ordered pair is (2, 8).

In summary, the missing x and y values that satisfy the equation y = 2x + 4 are (3, 10) and (2, 8).

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Answer for 1:

I don't know the actual answer, but for Forms, you can press ctrl + U and find the answers in the code

Answer for 2:

x = 28

Step-by-step explanation:

Since the overall angle is 90°, and we already have 33, we subtract 33 from 90

90 - 33 = 57

So we have to fill in the other 57°

2(28) = 56

56 + 1 = 57

So the answer is x = 28

Answer:

Free Semigroup: Consider a non empty set A = {a 1,a 2,.....a n }. Now, A* is the set of all finite sequences of elements of A, i.e., A* consist of all words that can be formed from the alphabet of A. If α,β,and,γ are any elements of A*, then α, (β. γ)= (α.β).γ.

Hope this helps. :)

The sοlutiοn οf the system οf equatiοn is x = 0 and y = 7/3.

If there is nο sοlutiοn tο a system οf equatiοns, it is incοnsistent system; οtherwise, there must be at least οne sοlutiοn. If a set οf equatiοns has infinitely many sοlutiοns, it is dependent.

Every οne οf the equatiοns in a system οf equatiοns must have a sοlutiοn in οrder fοr the system tο be cοnsistent. This demοnstrates that a set οf values fοr the variables may simultaneοusly satisfy all οf the system's equatiοns and shοw that they are nοt mutually exclusive.

There is nο sοlutiοn tο an equatiοn system that satisfies all οf the equatiοns in the system. This indicates that nο cοmbinatiοn οf values fοr the variables can cοncurrently satisfy all οf the system's equatiοns since they are incοmpatible.

The given equatiοns are:

y = 2/3x + 7/3

-4x+6y=14

Substituting the value of y in the second equation:

-4x + 6y = 14

-4x + 6(2/3x + 7/3) = 14

-2x + 4x + 14 = 14

2x = 0

x = 0

Substitute the value of x = 0 we have:

y = 2/3(0) + 7/3

y = 7/3

Hence, the solution of the system of equation is x = 0 and y = 7/3.

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Complete question:

Given system of equations y = 2/3x + 7/3 and -4x + 6y = 14

Find the value of x and y.

The outcomes that are contained in the events are

1 - P(X) = 4/5 and 1 - P(X) is the same as P(Not X)

From the question, we have the following parameters that can be used in our computation:

X = gray colours

Given that

gray colours = 3 and 10

We have

X = 3 and 10

Not X =1, 2, 4, 5, 6, 7, 8

The probability is then calculated as

P(X) = 2/10 = 1/5

For P(Not X), we have

P(Not X) = 1 - 1/5 = 4/5

In (a), we have

P(Not X) = 1 - 1/5 = 4/5

This means that

P(Not X) = 1 - P(X)

So, the solution is

1 - P(X) = 4/5

Using the above (a) and (b) as a guide, we have the following:

1 - P(X) is the same as P(Not X)

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The function can be defined as  price = 6x

It will cost $150 to buy 25 reams of paper.

The domain of the function is all non-negative real numbers, since the number of reams bought cannot be negative.

The range of the function is all non-negative real numbers, since the price cannot be negative.

Fir 25 items, price = 6(25) = $150

It will cost $150 to buy 25 reams of paper.

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Answer:

Step-by-step explanation:

4+4i / 5+4i     now multiply by the conjugate  of the denominator

( 4+4i / 5+4i ) * ( 5-4i  / 5-4i )

= (20 + 4i -16)  / (25 -16)

= 4+4i / 9

\(\frac{4}{9}\) + \(\frac{4}{9}\) i

Answer:

56.8

Step-by-step explanation:

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