Two positive consecutive numbers are represented by x and x+1. If four is added to the first
number and two is subtracted from the second number, the quotient of the new numbers is
Determine the numbers algebraically.

Answer:

Step-by-step explanation:

4p - p = 4p - 1p = (4 - 1)p = 3p

Answer:

[tex]33 - 4x[/tex]

Step-by-step explanation:

Given the term to be solved by explaining each step:

[tex]13 - 4(x - 5)[/tex]

First of all, the bracket will be solved as per the BODMAS rule.

The bracket term is:

[tex]4(x-5)[/tex]

Now, 4 will be multiplied with [tex]x[/tex] and -5.

i.e.

[tex]4(x-5)=(4\times x-4\times 5)\\\Rightarrow (4x-20)[/tex]

Now, let us put the value back in the original expression.

[tex]13 - 4(x - 5) = 13-(4x-20)[/tex]

Now, let us remove the bracket, negative sign will be multiplied with both i.e. [tex]4x[/tex] and -20

[tex]\Rightarrow 13-4x+20 (\because[/tex] negative multiplied with negative makes positive term)

Now, 13 and 20 are like terms, they will be added.

[tex]\therefore[/tex] the expression is equivalent to :

[tex]\bold{33-4x}[/tex]

Find the longest side of a parallelogram.

Perimeter of parallelogram = 2 ( a + b )

We know that,

Perimeter of parallelogram = 2 ( a + b )

★ Substituting the values in the above formula,we get:

⇒ 66 = 2 ( 3x + 1 + 2x - 3 )

⇒ 66 = 2 ( 5x - 2 )

⇒ 66/2 = 5x - 2

⇒ 33 = 5x - 2

⇒ 5x - 2 = 33

⇒ 5x = 33 + 2

⇒ 5x = 35

⇒ x = 35/5

⇒ x = 7 ft

Now,

One side,a = 3x + 1

★ Putting the value of x

⇒ 3 × 7 + 1

⇒ 21 + 1

⇒ 22 ft

Other side,b = 2x - 3

★ Putting the value of x

⇒ 2 × 7 - 3

⇒ 14 - 3

⇒ 11 ft

Hence,the longest Side of given parallelogram is 22 ft ( 3x + 1 ) .

Answer:

This is because anything multiplied by zero is zero itself.

Step-by-step explanation:

Ex: Multiply

[tex] 2 \times \sqrt{2} [/tex]

Here 2 is rational and root. 2 is irrational.

Their product is

[tex]2 \sqrt{2} [/tex]

Which is irrational.

But if you have

[tex]0 \times \sqrt{2} [/tex]

Where 0 is rational and root .2 is irrational.

Their product is

[tex]0[/tex]

Whis is rational.

Hope this helps... :-)

Answer:

2 and a half hours

Step-by-step explanation:

Hello!

To find this we add how far Mary and Ann travel and subtract that from the total distance till we get 0

2.5 + 2 = 4.5

11.25 - 4.5 = 6.75  First hour

6.75 - 4.5 = 2.25  Second hour

2.25 is half of 4.5  and half an hour is 30 minutes

2.25 -2.25 = 0 half hour

It will take them 2 and a half hours

The answer is 2 and a half hours

Hope this helps!

Answer:

2 1/2

Step-by-step explanation:

to in a half hours hopefully this helps

Answer:

x=-20

Step-by-step explanation:

Just put the x on the other side of the equation

Answer:

(g ○ f)(0) is invalid

Step-by-step explanation:

g(x) = x − 4

f(x) = 1/x

(g ○ f)(x) = 1/x - 4

(g ○ f)(0) can not be evaluated, because if x = 0, 1/x becomes invalid.

Answer:

To evaluate the composition, you need to find the value of function f first. But, f(0) is 1 over 0, and division by 0 is undefined. Therefore, you cannot find the value of the composition.

Step-by-step explanation:

This is the sample response on edge

Answer:

outer ring worth 14 pts

bull's-eye worth 74.333333 pts

Step-by-step explanation:

let the worth point of landing an arrow on the outer ring be "x" and on bull's eye be "y"

For amelia

[tex]3x + 3y = 267[/tex]

For joey

[tex]4x + 3y = 281[/tex]

subtracting the first equation from the second

[tex]x = 14[/tex]

[tex]3x + 3y = 267[/tex]

[tex]42 + 3y = 267[/tex]

[tex]3y = 223[/tex]

[tex]y = 74.333[/tex]

I hope this helps you

If R measures 18°,q equals 9.5 ,p equals 6.0 then we can find the length of PQ which is r using the law of cosines.

In trigonometric ratios law of cosines relates the lengths of the sides of a triangle to the cosine of one of its angles. Law of cosines is as under:

[tex]c^{2} =a^{2} +b^{2} -2ab cos d[/tex]

where c is the side opposite to the angle given, a,b are the other sides and d is the angle given.

We have been given ∠R=18°, q equals 9.5 , p equals 6.0 then the length r can be calculated as under:

[tex]r^{2} =p^{2} +q^{2} -2pq cos 18[/tex]

r=[tex]\sqrt{p^{2} +q^{2} -2pq cos 18}[/tex]

Hence the length of r is equal to [tex]\sqrt{p^{2} +q^{2} -2pq cos 18}[/tex].

Learn more about trigonometry at https://brainly.com/question/24349828

#SPJ2

Answer:

See below.

Step-by-step explanation:

Here is one pair of angle of each type. There are more correct answers.

corresponding angles: <K, <O

alternate interior angles: <N, <P

alternate exterior angles: <I, <S

same-side interior angles: <N, <Q

vertical angles: <P, <R

supplementary angles: <J, <M

Answer:

x + y + z = - 22

Step-by-step explanation:

Reciprocal of a : - 6,

Reciprocal of b : 2

Therefore if x is the sum of the reciprocals of a and b, it will be - 6 + 2 = - 4. x will be - 4.

Respectively if y is the product of the reciprocals of a and b, it will be - 6 [tex]*[/tex] 2 = - 12. y is - 12. And if z is twice the reciprocal of a / the reciprocal of b, it will be the following,

z = 2(- 6) / 2

= - 12 / 2 = - 6

And x + y + z = - 4 - 12 - 6 = - 22. That is your solution.

Answer:

x = 50

Step-by-step explanation:

y = 15

1/5X - 2/3y = 30

1/5x - (2/3 x 15) = 30

1/5x - (10) = 30

1/5x = 30 - 20

1/5x = 10

x = 50

Answer:

m<PKN = 270 - m<JKP

Step-by-step explanation:

m<JKM + mMKL + m<LKN = 90 + 90 + 90 = 270

m<PKN + m<JKP = 270

Options :

a. The same number of tickets was sold on the fourth day and tenth day.

b. No tickets were sold on the fourth day and tenth day.

c. Fewer tickets were sold on the fourth day than on the tenth day.

d. More tickets were sold on the fourth day than on the tenth day.

Answer:

a. The same number of tickets was sold on the fourth day and tenth day.

Step-by-step explanation:

Given that the average rate of change in T(d), a function used to relate the number of tickets sold for a movie to the number of days since its release is 0 for interval: d=4 and d=10.

Rate of change measures the change in quantity in relation to another, in the scenario it could be interpreted as, the change in quantity of ticket t sold with respect to change in the number of days since the movies was released.

Therefore, if the average rate of change obtained for d =4 and d = 10 gives 0, then it could be inferred that the value of T(d) on both days are the same.

[T(10) - T(4)] / 2 = 0

Then T(10) = T(4)

Answer:

1st option A

Step-by-step explanation:

Answer: 540 miles

Step-by-step explanation:

plug in the numbers into the equation

multiply and ta-da

Answer:

540 miles

Step-by-step explanation:

y = 45(12) = 540

Step-by-step explanation:

x cos θ + y sin θ = x cos β + y sin β

Let's say x = cos A, and y = sin A.

cos A cos θ + sin A sin θ = cos A cos β + sin A sin β

Use angle sum formula.

cos(A − θ) = cos(A − β)

A − θ = ±(A − β)

A − θ = β − A

2A = θ + β

A = (θ + β) / 2

cot A = cot((θ + β) / 2)

x/y = cot((θ + β) / 2)

Take a look at the explanation below. It proves that 'x / y = cot(θ + β / 2)' using a different method.

Answer:

the equation is 45 + 20x= 225 and her son had a total of nine (9) classes.

Step-by-step explanation:

45 + 20x = 225 is the equation.

to solve it, we do 225-45=180

then, 180/20= 9

so x = 9

Answer:

26x-23y

Step-by-step explanation:

1. expand the terms 2x-18y+24x-5y

2. combine like terms 26x-23y

Answer:

The cost of dinner plus a 15% tip was $23. How much is the dinner?

the cost of the dinner = $20

Step-by-step explanation:

Given that:

p= cost of dinner

0.15p = cost of a 15% tip

p + 0.15 p = 23

The objective is to represent this problem in words based on the given information.

From above, we can say that:

The cost of dinner plus a 15% tip was $23. How much is the dinner?

SO;

p + 0.15 p = 23

1.15 p = 23

Divide both sides by 1.15

p = 23/1.15

p = 20

Therefore, the cost of the dinner = $20

Answer:

Hey there!

The domain is the range of all the x values.

Thus, the domain would be from -3 to 5 and would be written as -3≤x≤5.

Let me know if this helps :)

Answer:

Graph it out on desmos and then see which one is out of order

Step-by-step explanation:

desmos graphing

Answer:

The correct option is;

B) 0

Step-by-step explanation:

Under the set of all rational numbers, there is the set of integers, which is a subset the set of rational numbers. Within the set of integers we have the set of whole numbers which is a direct subset of the set of integers. Within the set of whole numbers there is the set of natural numbers which is a direct subset of the set of whole numbers

Natural numbers are the numbers with which ordering and counting is made consisting of only positive whole number which according to ISO 80000-2 begin with 0, to give the natural numbers as 0, 1, 2, 3, .....

Answer: Its B.) 0

Step-by-step explanation:

Answer:more cuz it says 3/4 much more

Step-by-step explanation:

The farmer took 8 days to cultivate one and a half hectares (15000 m^2)

so now divide 15000/8 which equals to 1875. so now we know that it takes him one day to cultivate 1875 m^2 which is 0.1875 hectares.

20 days = 0.1875 x 20

             = 3.7500 hectares

hope it helped!

Answer:

The two numbers are 5 and 1. Their product is 5

Step-by-step explanation:

x + y = 6 (*)

x - y = 4 (**)

Let (*) + (**)

--> (x+y) + (x-y) = 6 + 4

<=> 2x = 10 <=> x = 5

Substitute x= 5

(*) <=> 5 + y = 6

<=> y=1

Answer: (x,y) = (5,1)

Their product: x.y = 5x1 = 5

Answer:-115

Step-by-step explanation:

Use distributive property!

-5 times 20 = -100

-5 times 3 = -15

-100 - 15 = 115

Answer: the answer is -115

Step-by-step explanation:

Answer:

Third Quartile: 16

Step-by-step explanation:

In the box plot given, the five-number summary displayed are:

1. Min = 2

2. First quartile = 4

3. Median = 8

4. Third Quartile = 16

5. Max = 20

Therefore, the statement that is true about the box plot is "Third Quartile: 16". All other statements regarding the box plot are incorrect and untrue.

Answer:

9x - 5  

Step-by-step explanation:

Simplify:

Correct choice: B. 9x -5

Answer:

9x - 5

Step-by-step explanation:

Answer:

false

Step-by-step explanation:

because any number with power "0" always gives 1

Answer:

False

Step-by-step explanation:

[tex]x \in \mathbb{Q}[/tex]

[tex]x \cdot 0=x[/tex]

This statement is false.

Take the example:

[tex]$\frac{1}{2} \cdot 0\neq \frac{1}{2} $[/tex]

[tex]$\frac{1}{2} \cdot 0=0$[/tex]

The product of any number and 0 is 0.