Six friends each use a $2-off coupon to buy themselves a movie ticket. They spend a total of $42. What is the price of one movie ticket without the coupon?

Answer:

k = 10

Step-by-step explanation:

30+2k+5k=100

Combine like terms

30 + 7k = 100

Subtract 30 from each side

30+7k-30 = 100-30

7k  = 70

Divide each side by 7

7k/7 = 70/7

k = 10

Answer:

k=10

Step-by-step explanation:

We are given the equation:

30+5k+2k=100

We want to find k, therefore we must isolate k on one side of the equation.

First, combine like terms on the left side of the equation. 5k and 2k can be added together.

30+5k+2k=100

30+(5k+2k)=100

30+7k=100

30 is being added to 7k. The inverse of addition is subtraction. Subtract 30 from both sides of the equation.

30-30+7k=100-30

7k= 100-30

7k= 70

k is being multiplied by 7. The inverse of multiplication is division. Divide both sides by 7.

7k/7=70/7

k=70/7

k= 10

The solution to the equation 30+5k+2k=100 is k=10

Answer:

See below.

Step-by-step explanation:

We have the rational function:

[tex]\frac{4}{x^2-1}[/tex]

The domains of rational function are the zeros of the denominator. This is because if the denominator equals 0, they the function would be undefined.

Therefore, we need to find the zeros of the denominator. Set the expression in the denominator to zero:

[tex]x^2-1=0[/tex]

Solve for x. Add 1 to both sides:

[tex]x^2=1[/tex]

Take the square root of both sides:

[tex]x=\pm \sqrt1[/tex]

Simplify:

[tex]x=\pm 1[/tex]

So, the domain is all real numbers except for x=-1 and x=1.

In interval notation, this is:

[tex](-\infty,-1)\cup(-1,1)\cup(1,\infty)[/tex]

This is interpreted as all values until -1 not including -1 until all values until 1 not including 1, and then all values there on after.

In set notation, this is:

[tex]\{x|x\in\mathbb{R}, x\neq-1, 1\}[/tex]

Answer:

[tex]\large \boxed{\mathrm{All \ real \ numbers \ except} \ x=-1 \ \mathrm{and} \ x=1}[/tex]

Step-by-step explanation:

[tex]\displaystyle \frac{4}{x^2-1}[/tex]

The domain of a rational function is all the real numbers except the numbers for which the denominator is equal to 0.

Let the denominator equal to 0.

[tex]x^2-1=0[/tex]

Solve for x.

[tex]x^2 =1 \\ \\ \\ x= -1 \ \mathrm{or} \ x=1[/tex]

When x = -1 and x = 1, the function is undefined.

The domain of the function is all real numbers except x = -1 and x = 1.

Answer:

10^8 pennies in a million dollars.

Step-by-step explanation:

I will work with the accepted number of pennies in a dollar:  100.

Then the number of pennies in a million dollars is

p = 100*10^6, or 1*10^8,  or just 10^8.

Answer:

The decimal point should be placed between 9 and 7

i.e

269.70

Step-by-step explanation:

In Long division method, the formula is given as:

Dividend ÷ Divisor = Quotient

We were given

26.97 ÷ 6.3

26.97 = Dividend

6.3 = Divisor

We are told in the question that:

as long division set up where 63 is on the outside of the division symbol and 26970 is on the inside so that the divisor is written as a whole number,

This means, since the Divisor 6.3 is made into an whole number = 63

It means 6.3 was multiplied by 10

6.3 × 10 = 63

In Long division, whatever rule is applied to the Divisor must be applied to the Dividend.

Since 6.3 was multiplied by 10 = 63(whole number), then the dividend must be multiplied by 10

Dividend = 26.97 × 10 = 269.7

Therefore, the place where should the decimal point be placed in the dividend is between 9 and 7

= 269.70

Answer: Between the 9 and the 7

Answer:

6 weeks

Step-by-step explanation:

So the amount b we will have in our account w weeks from now is given by the equation:

[tex]b=85+(15+7)w[/tex]

To find out after how many weeks from now we will have $210, substitute 210 for b and solve for w:

[tex]210=85+(15+7)w[/tex]

Subtract 85 from both sides:

[tex]125=(15+7)w[/tex]

Add within the parentheses:

[tex]125=22w[/tex]

Divide both sides by 22:

[tex]w=125/22\approx5.68\approx6[/tex]

In other words, we will have $210 after approximately 6 weeks.

Answer:

[tex]\huge\boxed{\frac{x^{15}y^{25}}{z^{21}} }[/tex]

Step-by-step explanation:

[tex](x^2y^3z^{-3})^7(xy^4)\\[/tex]

Expanding Parenthesis

[tex](x^{2*7 } y^{3*7}z^{-3*7})(xy^4)\\x^{14}y^{21}z^{-21} * xy^4[/tex]

Combining like terms

[tex]x^{14} * x * y^{21} * y^4 * z^{-21}[/tex]

When bases are same , powers are to be added

[tex]x^{14+1} y^{21+4} x^{-21}[/tex]

[tex]x^{15} y^{25} z^{-21}[/tex]

Neutralizing the negative sign by shifting z to the denominator

[tex]\frac{x^{15}y^{25}}{z^{21}}[/tex]

Answer:

[tex]\huge \boxed{ \frac{x^{15} y^{25}}{z^{21} } }[/tex]

Step-by-step explanation:

[tex](x^2 y^3 z^{-3})^7 (xy^4)[/tex]

[tex]\sf Apply \ exponent \ rule : (a^b)^c=a^{bc}[/tex]

[tex](x^{2 \times 7} y^{3 \times 7} z^{-3 \times 7})(xy^4)[/tex]

[tex](x^{14} y^{21} z^{-21})(xy^4)[/tex]

[tex]x^{14} \times y^{21} \times z^{-21} \times x \times y^4[/tex]

[tex]\sf Apply \ exponent \ rule : a^b \times a^c=a^{b+c}[/tex]

[tex]x^{14} \times x^1 \times y^{21} \times y^4 \times z^{-21}[/tex]

[tex]x^{14+1} \times y^{21+4} \times z^{-21}[/tex]

[tex]x^{15} \times y^{25} \times z^{-21}[/tex]

[tex]\displaystyle \sf Apply \ exponent \ rule : a^{-b} =\frac{1}{a^b}[/tex]

[tex]\displaystyle x^{15} \times y^{25} \times \frac{1}{z^{21} }[/tex]

[tex]\displaystyle \frac{x^{15} y^{25}}{z^{21} }[/tex]

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:

The value of the given expression is -4.5

Step-by-step explanation:

We need to find the value of the expression [tex]-3|5-s^3|+3t[/tex] when s=2 and t=1.5

Putting the values of s and t in the given expression.

So,

[tex]-3|5-s^3|+3t=-3|5-(2)^3|+3\times 1.5\\\\=-3|5-8|+4.5\\\\=-3|-3|+4.5[/tex]

We know that, |-a|=a

So,

[tex]=-3|-3|+4.5\\\\=-3(3)+4.5\\\\=-9+4.5\\\\=-4.5[/tex]

So, the value of the given expression is -4.5

Answer:

-13.5 is the correct answer.

Step-by-step explanation:

Answer:

596

Step-by-step explanation:

closest to 600.

this means we can narrow the first digit of all 5he three digits to be either 5 or 6:

5_ _

or

6_ _

however, when considering the closest number to 600 when starting with 6, we realise that we can only make 630.

when looking at starting with 5, we can make 590, much closer to 600.

so now, we have deduced it has to become 590

however, we can use 3 digits. so, using a 6, the next highest number, we can confidently rest our case.

Answer:

593! \(-^0^-)/

Step-by-step explanation:

600 - 593 = 7

you will haave 7 to get to the humber 600!

✨I hope this helped   o(*￣▽￣*)o✨

Answer:

54

Step-by-step explanation:

Answer:

x = 54

Step-by-step explanation:

product will equal x

x = (7+2) * (8-2)

x = (9) * (6)

x = 54

Hope this helps! :)

(pls mark brainliest)

Responder:

Explicación paso a paso:

Deje que el nivel del suelo del parque de atracciones sea cero. Si el túnel del miedo se eleva a una altura de 50 metros sobre el suelo, entonces la distancia desde el nivel del suelo hasta la altura de 50 m sobre el suelo será 50 + 0 = 50 m.

Del mismo modo, si el túnel cae 65 m en un túnel subterráneo, la distancia desde el nivel del suelo hasta la distancia de 65 m bajo tierra será de 65 m.

De ahí la diferencia entre la elevación del túnel y la del túnel subterráneo = 65 m - 50 m = 15 m

Opposite exterior angles are congruent.

DGH = AEG

DGH = 110

Answer: x= -3

Step-by-step explanation:

4(px+1)=64

4(-5x+1)=64

-20x+4=64

-4. -4

-20x. =60

-20. -20

x = -3

Answer:

5 hourss

Step-by-step explanation:

197-32= 165

165/33

Answer:

5 hours

Step-by-step explanation:

Ralph earned $197 in total but with an initial fee of $32 so,

197 - 32 = 165

$165 is the amount he made from the hourly fee alone. So let's divide the total by the hourly fee.

165 ÷ 33 = 5.

So the job took 5 hours.

Answer: x³+2x²-22x+12

Step-by-step explanation:

the product of functions: (hg)(x)

Use FOIL to solve this (First Outer Inner Later)

 (x+6)(x²-4x+2)

=x³-4x²+2x+6x²-24x+12

=x³-4x²+6x²+2x-24x+12

=x³+2x²-22x+12

Answer:

x³ + 2x² - 22x +12

Step-by-step explanation:

( x + 6 ) ( x² - 4x + 2 ) = x³ - 4x² + 2x + 6x² - 24x + 12

= x³ + 2x² - 22x +12

Answer:

The translation would be

X = 40% + 5 + A

Step-by-step explanation:

First, translate the words, is, more than and 'the number'.

Is means equals (=).

More Than means plus (+).

'the number' can be x.

Now, put it together.

X(The Number) =(Is) 40% +(more than) 5 +(more than) A(a number)

I hope this helps!!

The expression of the number that is 40% more than five more than a number A will be mathematically given as 40% + 5 + A.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

The concept of algebraic expressions is the use of symbols or alphabets to represent numbers by providing their precise values.

Translate the following into an algebraic expression:

The number that is 40% more than five more than a number A.

Then the expression will be,

⇒ 40% + 5 + A

The expression of the number that is 40% more than five more than a number A will be 40% + 5 + A.

More about the Algebra link is given below.

https://brainly.com/question/953809

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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:

Step-by-step explanation:

Use PEMDAS rules

In this problem, according to PEMDAS , inner brackets should be solved the division and finally multiplication.

3[ (15 - 3)² ÷ 4]  = 3[(12)² ÷ 4]   {Now find the square of 12}

                         = 3[144 ÷ 4]    {Now do division}

                         =3 * 36       {Finally multiplication}

                         = 108

Answer:

97.35

Step-by-step explanation:

355.5 - 235.5 -22.65

I am subtracting 235.5 and 22.65  from 355.5 because I am spending that much money on the things.

=> 355.5 - 235.5 - 22.65

=> 120 - 22.65

=> 97.35 rupees

So, 97.35 rupees is left

Answer:

6 hours

Step-by-step explanation:

Let the labor hours be x.

The bill comprises of parts cost plus labor cost. Labor cost is hours times the cost per hour. Then we have equation:

So the answer is 6 hours.

Answer:

yes ggggggggggggggggggggggggggggggggggggggggggggggggggggg

Step-by-step explanation:

lowest levels of emissions

The nitrogen cycle is the biogeochemical cycle by which nitrogen is converted into multiple chemical forms as it circulates among atmosphere, terrestrial, and marine ecosystems. The conversion of nitrogen can be carried out through both biological and physical processes. Important processes in the nitrogen cycle include fixation, ammonification, nitrification, and denitrification. The majority of Earth's atmosphere (78%) is atmosphere nitrogen, making it the largest source of nitrogen. However, atmospheric nitrogen has limited availability for biological use, leading to a scarcity of usable nitrogen in many types of ecosystems.

Answer:

Yuh

Step-by-step explanation:

Answer:

if you want x it equals 4/5

Step-by-step explanation:

x=4/5

Answer

= 30x - 18

Hope it helps

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

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Answer:

○ C. The lines are perpendicular.

Step-by-step explanation:

In order for equations to be perpendicular, their rate of changes [slopes] must be OPPOSITE MULTIPLICATIVE INVERSES, which in this case is so:

− to +}

> OPPOSITE

+ to −}

MULTIPLICATIVE INVERSE [RECIPROCAL]

I am joyous to assist you at any time.

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Answer:

La paloma blanca ya está vieja,

está allí hace muchos años, ¿sabían?

La paloma blanca ya está vieja,

Otros pájaros de su edad ya tienen nietos.

La paloma blanca ya está vieja,

déjenla bajar de los afiches y pasar al palomar en el jardín.

La paloma blanca ya está vieja,

ya llegó el momento de que también ella tenga un pichón.

La paloma blanca ya está vieja,

demasiadas guerras hacen fila frente a ella.

La paloma blanca ya está vieja,

la rama del olivo se le seca en el pico.

La paloma blanca ya está vieja,

y cada día que pasa está menos blanca y más pálida.

La paloma blanca ya está vieja,

díganle que se acabó el agua y que está libre...

Step-by-step explanation:

espero que te sirva ponme la coronita plis

Answer:

A

Step-by-step explanation:

base 200 dollars

200+0.45 x ≤ 275

for 166 miles: 200+0.45(166)=274.7 it does not exceed the budget

Answer:

Your correct answer is option A.

Step-by-step explanation:

Your base is $200

200+0.45 x ≤ 275

for the 166 miles: 200+0.45(166)=274.7

The linear function that models the population of bloater fish is y2= -92.57x + 1, 052

The linear equation that determines when the two populations were equal is

-19.76x + 227 = -92.57x + 1052

The solution is x= 11.33 years

Answer:

Isaac worked 12 hours

Ruby worked 18 hours

Svetlana worked 72 hours

Step-by-step explanation:

Here in this question, we are interested in knowing the number of hours each person worked.

We proceed as follows;

Let the number of hours Isaac worked be x hours.

From the question, we are told that Ruby worked 6 hours more than Isaac

So the number of hours Ruby worked will be;

(x + 6) hours

Also;

Svetlana worked 4 times as many as Ruby:

This means that we have to multiply the number of hours Ruby worked by 4 to get the number of hours that Svetlana worked;

So the number of hours Svetlana worked will be : 4(x + 6) hours

Since the three worked a total of 102 hours, to get the number of hours each worked, we need to add together the number of hours each individual put in to work and equate to 102;

Mathematically, that would be;

x + x + 6 + 4(x + 6) = 102

2x + 6 + 4x + 24 = 102

6x + 30 = 102

6x = 102-30

6x = 72

x = 72/6

x = 12 hours

So Isaac worked x hours = 12 hours

Ruby worked (x + 6) hours = 12 + 6 = 18 hours

Svetlana worked 4(x + 6) hours = 4(18) = 72 hours

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