Luke's parents hired a clown for his birthday party. The clown charges $100 plus an
additional $20 per hour. If h represents the hours, which expression represents how
much Luke's parents spent on the clown?
20h + 100
h
100 +
20
100h + 20
100 + h

Answer:

x =-7. .y=6

Step-by-step explanation:

3x + 2y = -9

(X – Y = -13)×3

3x + 2y = -9

3x – 3y = -39

5y = 30

y=6

3x +2(6)=-9

3x=-21

x=-7

Step-by-step explanation:

sin2x - sinx = 0

2sinxcosx - sinx = 0

(Double Angle Formula)

sinx(2cosx - 1) = 0

Either sinx = 0 or cosx = 1/2.

When sinx = 0,

x = 0 or x = π.

When cosx = 1/2,

x = π/3 or x = 5π/3.

Hence the solutions are

x = 0, x = π/3, x = π or x = 5π/3.

Answer:

Equation of the straight line passing through the point ( 4,2) and (7,-3) is

5 x + 4y - 28=0

Step-by-step explanation:

Step(i):-

Given points are ( 4,2 0 and ( 7,-3)

Slope of the line

         [tex]m = \frac{y_{2}-y_{1} }{x_{2} -x_{1} } = \frac{-3-2}{7-4} = \frac{-5}{4}[/tex]

Step(ii):-

Equation of the straight line passing through the point ( 4,2) and

having slope m = [tex]\frac{-5}{4}[/tex]

y - y₁ = m( x- x₁ )

[tex]y - 2 = \frac{-5}{4} ( x-4)[/tex]

4( y -2) = -5( x-4)

4 y - 8 = - 5x +20

5x +4y -8 -20=0

5 x + 4y - 28=0

Final answer:-

Equation of the straight line passing through the point ( 4,2) and (7,-3) is

5 x + 4y - 28=0

Answer:

2x(5+13)

Step-by-step explanation:

add then multiply by 2

Answer:

to find perimeter

= 2(L+w)

= 2(5+13)

10+26

36

so the answer is 2×(5+13)

hope it's helpful ❤❤❤❤

THANK YOU.

Answer:

The answer is 10 units because if you add up all the units that would be on the side you will get 10

Step-by-step explanation:

Answer:

90 degrees

Step-by-step explanation:

90 degrees hhgffdfkgdf

Answer:

90 degrees clockwise rotation

Step-by-step explanation:

Because

Based on the information given, it should be noted that the value of 1260 will therefore be £73.09.

From the information given, it was stated that £29 =500. Therefore, the equation to solve that of 1260 will go thus:

£29 =500

£1 = 500/29

£1 = 17.24

Therefore, 1260 will be:

= 1260/17.24

= £73.09

Learn more about equations on:

https://brainly.com/question/13763238

Given :  tan 235 = 2 tan 20 + tan 215

To Find : prove that

Solution:

tan 235 = 2 tan 20 + tan 215

Tan x = Tan (180 + x)

tan 235 = tan ( 180 + 55) = tan55

tan 215 = tan (180 + 35) = tan 35

=> tan 55 = 2tan 20 + tan 35

55 = 20 + 35

=> 20  = 55 - 35

taking Tan both sides

=> Tan 20 = Tan ( 55 - 35)

=> Tan 20  = (Tan55 - Tan35) /(1 + Tan55 . Tan35)

Tan35 = Cot55 = 1/tan55 => Tan55 . Tan35 =1

=> Tan 20  = (Tan 55 - Tan 35) /(1 + 1)

=> Tan 20  = (Tan 55 - Tan 35) /2

=> 2 Tan 20  = Tan 55 - Tan 35

=> 2 Tan 20 +  Tan 35 = Tan 55

=>  tan 55 = 2tan 20 + tan 35

=>  tan 235 = 2tan 20 + tan 215

QED

Hence Proved

Answer:

apple slice = 8 grams

orange slide = 4 grams

Step-by-step explanation:

48/6 will give you the weight of each apple slice

48/12 will give you the weight of each orange slice

Answer:

Step-by-step explanation:

1.24 * 0.15 = 0.0186

As you can see, the numbers are the same, but the order of the decimal is different.

Since the order of the decimal is different, so will the answer.

1,860 and 0.0186 do have the same numbers in them, but since the decimal is located in different spots, then the answer will be different with different values.

You might not see the decimal in 1,860, but it is after the 0.....

1,860.0 ( same thing just added a decimal, but it is the same value)

Hope this helped!

Have a supercalifragilisticexpialidocious day!

Step-by-step explanation:

We can represent the terms like this:

Therefore, (6x - 6.3) / 3

= [(3)(2x) - (3)(2.1)] / 3

= 2x - 2.1.

Answer:

Terms of the equation is :---

6x/3 = 2x and 6.3/3 = 2.1

According to the given problem,

[tex] \frac{(6x - 6.3)}{3} = \frac{3(2x - 2.1)}{3} = \boxed{2x - 2.1} ✓\\ [/tex]

9514 1404 393

Answer:

  a = (s +t)/(m +r)

Step-by-step explanation:

Add t, then divide by the coefficient of 'a'.

  [tex]a(m+r)-t=s \qquad\text{given}\\\\a(m+r)=s+t \qquad\text{add $t$}\\\\\boxed{a=\dfrac{s+t}{m+r}} \qquad\text{divide by $m+r$}[/tex]

Answer:

by distributing you need to multiple by using the 7 in front and use that 7 to multiply each number inside

1. -7(-4+x) -> 28-7x

2. 7(4+x) -> 28+7x

3. 7(-4-x) -> -28-7x

4. -7(4-x)-> -28+7x

Answer:

I'll help you with this so reflections is not hard.

For reflect over x-axis you need to switch the sign on Y. formula for points like this is (x,y). An example is reflect (2,4) over the x-axis. you just change the sign of y making the answer (2,-4).

For reflect over y-axis you change the sign of X.For example reflect over the y-axis (3,7) all you have to do is change the sign of X which leaves you with the answer of (-3,7).

sign is basically + or - if need to know.

I hope this helps you in the long run.

Answer:

X= 9 over 8 or 9/8

Step-by-step explanation:

hopefully this helps

Answer:

9/8 or 1.125 or 1 1/8

Step-by-step explanation:

Answer: 3 hope this helped (:

[tex] \frac{p}{12} [/tex]

hope it helps u

Answer:

$32.50

Step-by-step explanation:

multiple 25 by 30 then divide it by 100 then add your 7.5 to 25 and that's ur answer

Answer:

The other socks cost 9$.

Step-by-step explanation:

the greatest common factor of 24 and 36 is 12

Answer:

12

Step-by-step explanation:

Answer:

6.5

Step-by-step explanation:

8÷tan(51)=6.47...

              =6.5(correct to the nearest tenth)

Answer:

Step-by-step explanation:

Jhbiko

Answer:

7/5

Step-by-step explanation:

4x+3=9x-4

3=9x-4-4x

3=5x-4

3+4=5x

7=5x

7/5=x

x= 7/5

is this one of the choices I hope it helps.

Answer:

D

Step-by-step explanation:

CD is an angle bisector and divides the opposite side into segments which are proportional to the other 2 sides, that is

[tex]\frac{BC}{AC}[/tex] = [tex]\frac{BD}{AD}[/tex] , substitute values

[tex]\frac{4}{3}[/tex] = [tex]\frac{x}{2.25}[/tex] ( cross- multiply )

3x = 9 ( divide both sides by 3 )

x = 3 → D

Answer:

approximately 684 employees

Step-by-step explanation:

So this is an exponential equation since there is a dividing decrease, not just subtracting. The standard equation is,

[tex]y = a(b)^{x} [/tex]. [tex]a[/tex] is initial value (860 employees) and [tex]b[/tex] is the change [tex]-8%[/tex] or [tex]0.92[/tex]. The [tex]x[/tex] would be the period of time, [tex]19[/tex]. This equation would be [tex]y = 860(0.92)^{19} [/tex].

After solving, the equation would become the following: [tex]y = 860(0.92)^{19} = 176.387242442≈176[/tex]. After subracting the number of lost employees from orginal employees ([tex]860-176=684[/tex]), we see that the company will have approximately 684 employees left after 19 years.

Answer:

y = 2

Step-by-step explanation:

y=2 every time you add 3 to x your adding 2 to the y

-3 + 3 = 0 and 3 + 2 = 5

0 + 3 = 3 and 5 + 2 = 7

Step-by-step explanation:

f(x) = (x + 3)(x - 5)

In a Quadratic curve, the x-coordinate of the vertex is equidistant to the x-intercepts. (If they exist)

In f(x), our x-intercept are x = -3 and x = 5.

=> (-3 + 5)/2 = 1.

Hence the x-value of the vertex is 1.

Answer:

[tex]\frac{1}{3x^{\frac{4}{5}}}[/tex]

Step-by-step explanation:

Subtract the exponents: 3/5 - 7/5 = -4/5

Equation would become 3^-4/5

Which is equivalent to 1/3x^4/5