1) Devin wants to play lazer tag for his birthday. He is comparing the cost of two companies. Lazer Zone charges $50 for parties, and an additional $10 per guest. Fun Palace charges $90 for parties, and an additional $6 per guest. For how many guests is the cost of both companies the same?

Answers

Answer 1

Answer:

10 guests

Step-by-step explanation:

Devin wants to play lazer tag for his birthday. He is comparing the cost of two companies.

Let us represent additional guests = g

Lazer Zone charges $50 for parties, and an additional $10 per guest.

=$50 + $10 × g

50 + 10g

For fun place

Fun Palace charges $90 for parties, and an additional $6 per guest.

= $90 + $6 × g

90 + 6g

For how many ?

We equate both Equations together

= 50 + 10g = 90 + 6g

Collect like terms

10g - 6g = 90 - 50

4g = 40

g = 40/4

g = 10

Hence, g = 10 guests

Therefore, the number of guests for which the cost of both companies is the same is 10 guests


Related Questions

PLEASE HELP ASAP I WILL MARK BRANLIST!!!!!!

Of 10 test scores, six are less than or equal to 82 What is the percentile rank of a test score of 82?
The percentile rank of 82 is…

Answers

Answer:

60% of the test scores are less than or equal to 82

Step-by-step explanation:

Solve.
8/21=3x/7
What does X equal?

Answers

Answer:

x= 8/9

Step-by-step explanation:

You must divide 8/21 & 3/7 As a fraction.

Does anyone know how to solve this?

Answers

Answer:

$ 22.5

Step-by-step explanation:

B(x) = 30.50 - 0.20x

Notice that x defines the number of prints.

For prints = x = 40

B(40) = 30.50 - 0.20(40)

B(40) = 30.50 - 8

B(40) = 22.5

Remaining amount is $22.5

B(x) is defined as at starting you had $30.50 then you kept on spending with a period of 20 cents(= 0.20 dollar). So 30.50 kept on decreasing by 0.20. Each time you spend, you give 0.20.

That's why the function is 30.50 - 0.20x.

Where x is the nunber of times you spend(buying prints)

True or False? The quotient to this expression is negative 9/10 ÷ (−6/12) (9/10 and 6/12 are fractions.)

Answers

Answer:

Hello! Your answer is, True

Step-by-step explanation:

Hope I helped! Ask me anything if you have any questions! Brainiest plz! Hope you make an 100% and have a wonderful day! -Amelia♥

I need help with geometry

Answers

Answer:

146

Step-by-step explanation:

angle AB is an inscribed angle and arc AB is it's intercepted arc

An inscribed angle is equal to half the measure of its intercepted arc

Which means that an intercepted arc is equal to two times the measure of its corresponding inscribed angle

Thus, arc ab = 2(73)

2 * 73 = 146

hence, arc AB = 146

Answer:

mAB = 146°

Step-by-step explanation:

We can notice that the angle given is an inscribed angle and an inscribed angle is 1/2 the arc it intercepts. We can set up an equation to model the situation:

73° = 1/2(mAB)

mAB = 146°

Find the tangent line equation of the curve at the given point. Y=arcsin(7x) at the point where x=sqrt2/14

Answers

Answer:

[tex]Y-\frac{\pi}{2} =\frac{\pi}{2} (x+\sqrt{\frac{1}{7}})[/tex]

Step-by-step explanation:

The equation of the curve is

[tex]Y = sin^{-1}(7x)[/tex]

To find the equation of tangent we need to differentiate this equation w.r.t x

So, differentiating we get

[tex]Y'=\frac{7}{\sqrt{1-49x^2} }[/tex]

This would give the slope of the tangent line at any given point of which x coordinate is known. In the present case it is  [tex]x = \sqrt{\frac{1}{7} }[/tex]

Then slope would accordingly be

[tex]Y'=\frac{7}{\sqrt{1-49/49} }[/tex]

= ∞

For, [tex]x = \sqrt{\frac{1}{7} }[/tex], [tex]Y = sin^{-1}(7/7)= \pi/2[/tex]

Equation of tangent line, in the point slope form, would be [tex]Y-\frac{\pi}{2} =\frac{\pi}{2} (x+\sqrt{\frac{1}{7}})[/tex]


Pls hurry , timed test

Answers

Answer:

c

Step-by-step explanation:

Bob's gift shop sold a record number of cards for Mother's Day. One salesman sold 24
cards, which was 20% of the cards sold for Mother's Day. How many cards were sold
for Mother's Day?

Answers

Answer:

120

Step-by-step explanation:

20 * 5 = 100 so we multiply 24 by 5 and that equals 120

i just need a little help on this one sorry for the bother

Answers

Answer:

they look like their curved at about  70? 65? and they would be the same

Step-by-step explanation:

Answer: Both C and D are 76

Step-by-step explanation:

Because this is a isosceles triangle both C and D are the same. Subtract 28 from 180 and you get 152. So D and C combined equals to 152 so divide that by 2 an you get 76.

The area of the parallelogram below is___square meters

Answers

Answer:

48 m^2

Step-by-step explanation:

Since this is a parallelogram, you can think of it as taking the triangle off of the left side and reattaching it on the right side to make a rectangle. After you visualize it as a rectangle, you just have to multiply 8 by 6 to get 48 meters squared.

PLEASE HELP PLEASE HELP

Answers

Answer:

B) 24

Step-by-step explanation:

The area of the rectangle is 48 units (8 x 6).

The base of the is 6 units and the height is 8 units. The formula for the are of a triangle is A = [tex]\frac{1}{2}[/tex]bh.

b = base

h = height

A = [tex]\frac{1}{2}[/tex](6)(8)

A = 24

Answer:

[tex]24[/tex]

Step-by-step explanation:

If the area of a rectangle is bh, and the area of a triangle is bh/2, then a triangle's area is half a rectangle's area. Hence, if the area of the rectangle is 48, the area of the triangle is half of 48, or 24.

Jeremy rounded the weight of his fruit to the nearest whole. He said his bag of apples weighed 4 pounds. What could have been the actual weight of his bag of apples? Group of answer choices

Answers

Answer: 3.5 - 4.4 pounds

Step-by-step explanation:

You included no options so I answered with the range of the answer.

When rounding a number up to the nearest whole number, the number needs to have the first decimal being 0.5 and above all the way to 0.9.

When rounding a number down to the nearest whole number, the number needs to have its first decimal being 0.1 to 0.4 to be rounded down.

For instance, 3.5 to 3.9 would get rounded up to 4 pounds.

4.1 to 4.4 would be rounded down to 4 pounds.

7.

Choose the linear inequality that describes the graph. The gray area represents the shaded region.


A. y ≥ 2x – 2

B. y ≥ 2x + 2

C. y ≥ –2x + 2

D. y ≤ 2x – 2

Answers

Answer:

A. y ≥ 2x – 2

Step-by-step explanation:

What's the Pythagorean Theorem?
If anyone could assist, I would be happy to award you brainliest!

Answers

Answer:

The pythagorean theorem is a^2 + b^2 = c^2

Step-by-step explanation:

Not sure what you're asking! Sorry! :)

Use the graph to write a linear function that relates Y toX

Answers

In the graph you can see the point are crossing Y -1 and x= 2,
x-y=xy
2-1=1
Y=1

Which statement must be true?

Answers

I think it’s A Im not completely sure tho.


DONT SKIP . URGENT WILL GIVE BRAINLIEST.
Question 8 of 10
What is the distance between points D and E?
6
4
3
2
D(42)
!
S4 3 2
-1
-1
3 4 5
E (42)
- یہ دن من
4
-5
O A. 5 units
OB. 4 units
O C. 2 units
O D. 6 units

Answers

B. 4 units

To find this you add 2 and -2 as if -2 was positive. Since the x-axis is the same,4, you don't have to do anything.

SHOW YOUR WORK. The volume of the cylinder is 235.6 ft cubed. Find the height.

Answers

Answer:

Answer: 3 feet

Step-by-step explanation:

Here's the complete question:

The volume of the cylinder is 235.6 cubic feet the radius is 5ft. Find the height.

Note that Volume of a cylinder = πr²h

where Volume = 235.6 feet³

Radius = 5 feet

Height = Unknown

Then, we put the values back into the question and this will be:

V = πr²h

235.6 = 3.14 × 5² × h

235.6 = 3.14 × 25 × h

235.6 = 78.5 × h

h = 235.6 / 78.5

h = 3 feet

The height is 3 feet

Step-by-step explanation:

Christopher the barber did 8 haircuts. One of the 8 was a walk-in. Express the amount
of walk-ins as a percent.

Answers

It’s 12.5% I hope this helps but that’s the correct answer :)

describe fully the single transformation that takes shape p onto shape q

Answers

Answer:

The single transformation that takes shape 'p' onto shape 'q' is a dilation by a scale factor of 3 with the center point (1, 0)

Step-by-step explanation:

The coordinates of the vertices of shape ΔP are;

A(2, 3), B(2, 1), C(3, 1)

The length AB = 3 - 1 = 2

The length CB = 3 - 2 = 1

∴ The length AC = √(2² + 1²) = √5

The coordinates of the vertices of shape ΔQ are;

A'(4, 9), B'(4, 3), C'(7, 3)

The length A'B' = 9 - 3 = 6

The length C'B' = 7 - 3 = 3

∴ The length A'C' = √(6² + 3²) = √(45) = 3·√5

∴ Figure Q ΔA'B'C' is a dilation of figure P ΔABC by a scale factor of A'B'/AB = 6/2 = 3

The distance of point B(2, 1) from the point (1, 0) = √((2 - 1)² + 1²) = √2

The distance of point B'(4, 3) from the point (1, 0) = √((4 - 1)² + 3²) = 3·√2

Therefore, the distances of points on figure Q from (1, 0) = 3 × the distances of points on figure from (1, 0)

Therefore, figure 'Q' can be obtained from figure 'P' by a dilation of figure 'P' by a scale factor of 3 with the center of dilation at point (1, 0).

what is the value of x

Answers

Answer:

8

Step-by-step explanation:

Lines have angles that are equal to 180. Therefore, because we already have 140 of the 180 necessary, we can subtract 140 from 180 to get 40. 40 divided by 5 is 8.

Hope that this helps!

Answer:

I. x=8

Step-by-step explanation:

lines form 180° angles so

140 +5x= 180 ; subtract 140 from both sides

5x= 180-140; divide both sides by 5

x= 40/5 = 8

0.16x^2-49, factor using special products

Answers

Answer:

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

Step-by-step explanation:

MARKING BRAINLIEST ..Please

Answers

Answer:

B

Step-by-step explanation:

Have a good day :)

Answer: I think D.

Step-by-step explanation:

What's the area of this 3d shape??​

Answers

Answer:

You need to do 7 time 8 times 2 times 3

This petite girl, short as can be is gonna jump and be free
-Rachie [My R]

Answers

for god sake pls are you serious?! i just can't believe! for a st...upi...d reason you got here before me?!? are you upset cuz you can't have what you wanted?!

solve the absolute value equation
|x+1|=|2x-6|​

Answers

Answer:

x = 5, and/or x= - 7/3

Step-by-step explanation:

|x+1|=|2x+6|

We know eitherx+1=2x+6orx+1=−(2x+6)

x+1=2x+6(Possibility 1)

x+1−2x=2x+6−2x(Subtract 2x from both sides)

−x+1=6

−x+1−1=6−1 (Subtract 1 from both sides)

−x=5

(Divide both sides by -1)

x=−5

x+1=−(2x+6)(Possibility 2)

x+1=−2x−6(Simplify both sides of the equation)

x+1+2x=−2x−6+2x(Add 2x to both sides)

3x+1=−6

3x+1−1=−6−1(Subtract 1 from both sides)

3x=−7

Divide both sides by 3

x= −7 / 3

Check answers. (Plug them in to make sure they work.)

x=−5(Works in original equation)

x= −7/3

(Works in original equation)

Answer:

x=−5 or x= −7 / 3

Which function describes the graph below?

Answers

Answer:

Step-by-step explanation:

There are no pics

What is the range of the function f(x)=2x+4f⁢(x)=2x+4 when the domain is {-2, 0, 3}?

A. {0, 4, 10}

B. {4.25, 5, 12}

C. {4.25, 4, 12}

D. All real numbers

Answers

D. All real numbers is the answers

HELPPPP PLEASE !!!!!!!!!!!!!!

Answers

Answer:

113°

Step-by-step explanation:

triangles add up to 180°

180° - 34° - 33° = 113°

Answer:  113

==============================================

Explanation:

For any triangle, the three interior angles must add to 180 degrees

34+33+x = 180

x+67 = 180

x = 180-67 ... subtract 67 from both sides

x = 113

This triangle is obtuse because the 113 degree angle is larger than 90 degrees. Also, the triangle is scalene because all three angles are different values (consequently, it means all three sides are different from one another).


3. Mrs Naidoo wants to buy a new kitchen cabinet on which she can place her new
microwave. Mrs Naidoo notices one advertised for R3 999,00. She decides to
save until she has enough cash to pay for the kitchen cabinet. She uses her
December bonus of R2 900,00 to deposit into her savings account where she
is offered 3,5% p.a. compound interest.
Determine if Mrs Naidoo will be able to afford the kitchen cabinet a year later if she
adds R960,00 to the saved amount.

please help

Answers

Answer:

thats about like ummm 69?

Step-by-step explanation:

Other Questions
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