Michael has a home-based business putting on children's parties. He charges $45 to design the party and then $7.50 per child . Write a function rule ( equation) that relates the total cost of the party to the number of children n

Answers

Answer 1

Answer:

45 + ( 7.50*x)

Step-by-step explanation:

Answer 2

Answer:

I believe the answer is: [tex]f(x)=45+7.50x[/tex]

Step-by-step explanation:

45 because you start with it costing that much and then the 7.50x because each child costs 7.50 and you don't know how many there will be.


Related Questions

What is the volume of a hemisphere radius of 44.9 m rounded to the nearest 10th of a cubic meter

Answers

Answer:

189582.23m^3

Step-by-step explanation:

formula for the volume of a hemisphere=2/3 x pi x r^3

The volume of a hemisphere radius of 44.9 m rounded to the nearest 10th of a cubic meter is 181,037  cubic meters.

How to calculate volume of a hemisphere?

We can say that a hemisphere is exactly half of a sphere. The volume of the hemisphere is obtained by Archimedes and is half the volume of a sphere. The volume V of a hemisphere is two-thirds times pi times the radius cubed.

The formula for the volume of a hemisphere is :

[tex]V=2/3 * \pi * r^3\\V= 2/3 (3.14) (44.9)^3\\V= 181,037 m^3[/tex]

See more about volume at brainly.com/question/1578538

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Please help as quick as possible

Answers

Answer:

4/81

Step-by-step explanation:

1/4, 1/6, 1/9, 2/27 series

1/6÷1/4= 1/6×4= 2/31/9÷1/6=1/9×6= 2/32/27÷1/9=2/27×9= 2/3

So the common ratio is 2/3

2/27*2/3= 4/81 is the next term

HELP EASY PHYSICS QUESTION URGENT :))
A ball is kicked off the ground with a velocity of 15 m/s at an angle of 30° horizontally. What is the horizontal distance the ball travels before returning to the ground?

a.15.5 m

b.17.5 m

c.19.5 m

d.21.5 m

Answers

Answer:

The horizontal distance the ball travels before returning to the ground is 19.5 m

Step-by-step explanation:

Formula of range of horizontal distance =[tex]\frac{u^2 Sin 2 \theta}{g}[/tex]

Where u is the initial velocity

g is gravity

We are given that A ball is kicked off the ground with a velocity of 15 m/s at an angle of 30° horizontally.

So, u = 15 m/s

[tex]\theta = 30^{\circ}[/tex]

g = 10

So, the horizontal distance the ball travels before returning to the ground = [tex]\frac{15^2 Sin 2(30^{\circ})}{10}=19.48 \sim 19.5 m[/tex]

Hence The horizontal distance the ball travels before returning to the ground is 19.5 m

What is the sum of 3 times a number and 2

Answers

Answer:

3x+2

Step-by-step explanation:

I believe you asked for the equation

the length of a rectangular picture frame is twice the width the frame has a permit from her murder of 96 in write and solve a system of equations to represent the solution let X represent the width of the frame and it lives represent the length of the frame interpret the solution​

Answers

Answer:

16 is the width 32 is the length

Step-by-step explanation:

L = 2x

96 = 2L + 2x           Substitute the first equation into the second equation for L

96 = 2(2x) + 2x       Multiply

96 = 4x + 2x           Add

96 = 6x                   Divide both sides by 6

16 = x

Plug this into the first equation to solve for the length

L = 2(16)                  Multiply

L = 32

what is the relationship between angles 1 and 2?

Answers

Answer:

supplementary

Step-by-step explanation:

∠ 1 and ∠ 2 are adjacent angles and supplementary.

Answer:

Angles 1 and 2 are supplementary angles.

Step-by-step explanation:

This means that angles 1 and 2 add up to 180 degrees.

Urgent need help fast

Answers

Answer:

500

Step-by-step explanation:

400 + 100 = 500

Answer:

500

Step-by-step explanation:

Ronald's number + 100 = Jasmine's number

400 + 100 = 500

Question: Meghan has created a diagram of her city with her house, school, store, and gym identified. A. How far is it from the gym to the store? B. Meghan also wants to walk to get some exercise, rather than going to the gym. She decides to walk along arc AB. How far will she walk? Round to 3 decimal places.

Answers

Answer:

a). Distance between the gym and store 9.25 m

b). Meghan will walk 5.637 m along the arc AB.

Step-by-step explanation:

a). Theorem of intersecting chords inside the circle,

When two chords intersect each other in a circle multiplication of their segments are equal.

3×7 = 4a

a = [tex]\frac{21}{4}[/tex]

a = 5.25 m

Distance between the gym and store = 4 + 5.25

                                                               = 9.25 m

b). Length of an arc = [tex]\frac{\theta}{360}\times (2\pi r)[/tex]

                           [tex]\widehat{AB}[/tex] = [tex]\frac{64.6}{360}\times 2\pi (5)[/tex]

                                 = [tex]\frac{646\pi }{360}[/tex]

                                 = 5.6374 m

                                 ≈ 5.637 m

Therefore, Meghan will walk 5.637 m along the arc AB.

Determine the value of x in the figure. answers: A) x = 9 B) x = 6 C) x = 4.5 D) x = 3

Answers

Answer:

D

Step-by-step explanation:

The marks through each of the sides of the triangle denote that all of the side lengths of the triangle are equal, or that it is an equilateral triangle. Therefore:

7x+9=x+27

6x+9=27

6x=18

x=3

Therefore, the correct answer is choice D. Hope this helps!

Answer:

x=3

Step-by-step explanation:

The sides are the same length

x+27 = 7x+9

Subtract x from each side

x+27-x = 7x-x+9

27 = 6x+9

Subtract 9 from each side

27-9 = 6x

18 = 6x

Divide by 6

18/6 = 6x/6

3 =x

A recipe calls for 2/3 cup of milk. If you make 3 1/2 times the recipe, how much milk do you need? Please help!! From, Kweenie.

Answers

Answer:

1 time = 2/3 cups

3 1/2 times = 2/3 × 3 1/2

= 7/3 cups of milk

Answer:

2 1/3 cups

Step-by-step explanation:

2/3 x 3.5 = 2.33333

How many kilometers are there ??

Answers

Answer:

20

Step-by-step explanation:

1 hour=2 kg

10 hrs=10×2=20

Mark as brainliest please!

681/4 i dont know this

Answers

170/4 I’m sure that’s the answer your looking for

The right answer is 170.25

please see the attached picture for full solution

hope it helps

Good luck on your assignment

The distance between city A and city B is 22 miles. The distance between city B and city C is 54 miles. The distance betweeb city A and city C is 51 miles. What type of trianglr is created by the three cities?

Answers

Answer:

the triangle is an obtuse

Step-by-step explanation:

draw it out

Answer: Acute Triangle

Step-by-step explanation:

54 is the hypotenuse because it is the longest side.

Square all of the sides.

So

54^2=2916

51^2=2601

22^2=484

Now you have 2916=2601+484

Add the two on the right and they will be greater than 2916.

Because of that, you will have an acute triangle because 22^2+51^2>54^2

2. Determine if the two quadrilaterals are similar,
if they are, state the scale factor.

Answers

Answer:

Yes, they are similar. The scale factor is 5/3

Step-by-step explanation:

The longest to the shortest side of quadrilateral KLMJ are: JM, ML, KJ, LK

The longest to the shortest side of quadrilateral QPSR are: QP, PS, RQ, SR

If the two quadrilaterals are similar, the following proportion must be satisfied:

JM = k*QP

ML = k*PS

KJ = k*RQ

LK  = k*SR

where k is the scale factor. Solving for k and replacing with lengths:

k = 25/15 = 24/14.4 = 20/12 = 15/9 = 5/3

From the figure, we can also see that:

∠M ≅ ∠P

∠L ≅ ∠S

∠R ≅ ∠K

∠Q ≅ ∠J

Therefore, the two quadrilaterals are similar.

80 POINTS!!!!

The table shows how much Eric earns for pruning trees. Write an equation that relates t, the number of trees Eric prunes to p, the amount he earns. Solve your equation to find how much Eric earns if he prunes 7 trees.

Answers

Answer:

Equation: 15t

Solution: 105

Step-by-step explanation:

You multiply 15 and 7 to get your solution.

find f(3) for f(x)=3^x+3​

Answers

Answer:

f(3) = 30

Step-by-step explanation:

f(3) = 3^(3) + 3

f(3) = 27 + 3

f(3) = 30

There are 5 bacteria in a petri dish at the start of an
experiment. This type of bacteria doubles every 20
minutes.
Find the number of bacteria after 4 hours.
40
10,240
20,480
40,960

Answers

Answer:

20,480

Step-by-step explanation:

5x2^12

Answer:

20480

Step-by-step explanation:

got it right on edge

Find the equation of the linear function
represented by the table below in slope-
intercept form.
X
у
-3
-6
1
1
-2
5
2
9
6

Answers

Answer:

I think that the answer is C D E

rewrite the expression with a rational exponent as a radical expression.

Answers

Third option is the correct answer.

Answer:

[tex] \sqrt{5} [/tex]

Step-by-step explanation:

[tex] \huge \bigg( {5}^{ \frac{3}{4} } \bigg) ^{ \frac{2}{3} } \\ \\ \huge = {5}^{ \frac{3}{4} \times \frac{2}{3} } \\ \\ \huge = {5}^{ \frac{6}{12} } \\ \\ \huge = {5}^{ \frac{1}{2} } \\ \\ \huge = \sqrt{5} [/tex]

Can someone please help me! Explain the Error. Find the correct solution.
4w (w - 3)+(-5)(w – 3) = (w - 3)(4w +5)

Answers

Answer:

w=3

Step-by-step explanation:

[tex]4w(w-3)+(-5)(w-3)=(w-3)(4w+5)\\4w^{2} -12w-5w+15=4wx^{2} +5w-12w-15\\4wx^{2} -17w+15=4wx^{2} -7w-15\\4wx^2-10w+15=4wx^{2} -15\\4wx^{2} -10w=4wx^{2} -30\\-10w=-30\\w=3[/tex]

will mark bianleast plz plz i really need this
Triangle LMN is to be reflected across the x-axis.

What will be the vertices of the reflected triangle?


L'(–2, –1), M'(–3, –5), and N'(–6,–4)

L'(–2, 1), M'(–3, 5), and N'(–6,4)

L'(–1, 2), M'(–5, 3), and N'(–4,6)

L'(2, 1), M'(3, 5), and N'(6,4)

Answers

Answer:

fourth option

Step-by-step explanation:

Under a reflection in the x- axis

a point (x, y ) → (x, - y), thus

L(2, - 1 ) → L'(2, 1 )

M(3, - 5 ) → M'(3, 5 )

N(6, - 4 ) → N'(6, 4 )

Which sequence shows a pattern where each term is 1.5 times the previous term?
–4, 6, –9, 13.5, …
10, 15, 25, 40, …
98, 99.5, 101, 102.5 …
–200, –300, –450, –675, …

Answers

Answer:

-200, -300, -450, -675

The geometric sequence which shows a pattern in which each term is 1.5 times the previous term is A = -200 , -300 , -450 , -675 ...

What is Geometric Progression?

A geometric progression is a sequence in which each term is derived by multiplying or dividing the preceding term by a fixed number called the common ratio.

The nth term of a GP is aₙ = arⁿ⁻¹

The general form of a GP is a, ar, ar2, ar3 and so on

Sum of first n terms of a GP is Sₙ = a(rⁿ-1) / ( r - 1 )

Given data ,

Let the geometric progression be represented as A

Now , the value of A is

A = -200 , -300 , -450 , -675 ...

The common ratio of the GP = second term / first term

On simplifying , we get

r = -300 / -200

r = 3/2

r = 1.5

Therefore , each term is 1.5 times the previous term

Hence , the GP is solved

To learn more about geometric progression click :

https://brainly.com/question/1522572

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3 Euros can be exchanged for 22.41 Kroners. How many Euros can be exchanged for 100 Kroners?

Answers

the answer is 4.4 Euros

Answer:

13.39 Euros

Step-by-step explanation:

The ratio between Euros and Kroners is 3:22.41. This means for every 3 Euros we get 22.41 Kroners. This also means for every Euro we get 22.41/3 = 7.47 Kroners. To calculate the number of Euros that can be exchanged for 100 Kroners, we simply divide 100 Kroners by our conversion factor. 100/7.47 = 13.3868809

can anyone help? this question is based on using soh cah toa trig

Answers

Answer:

9.696

Step-by-step explanation:

Answer:

x = 9.7 feet

Step-by-step explanation:

Use tan to find the value of x

tan 22 = [tex]\frac{x}{24}[/tex]       Simplify

0.404 = [tex]\frac{x}{24}[/tex]       Multiply both sides by 24

x = 9.696        Round this answer to the nearest tenth of a foot

x = 9.7 feet

Which statement justifies that ∠K ≅ ∠N? answers: A) ΔHKL ≅ ΔHMN by ASA; but the two angles aren't congruent because they aren't corresponding angles. B) The two angles aren't congruent. C) ΔHKL ≅ ΔHMN by ASA; ∠K ≅ ∠N because they're corresponding angles in congruent triangles. D) ΔHLK ≅ ΔHMN by AAS; ∠K ≅ ∠N because they're corresponding angles in congruent triangles.

Answers

Answer:

Correct answer is:

D) ΔHLK ≅ ΔHMN by AAS; ∠K ≅ ∠N because they're corresponding angles in congruent triangles.

Step-by-step explanation:

We are given the diagram, in which there are 2 triangles namely [tex]\triangle HLK, \triangle HMN[/tex].

1. Side KH = Side NH

2. [tex]\angle L \cong \angle M[/tex]

From the given figure, we can derive that:

[tex]\angle KHL \cong \angle NHM[/tex]

Property used: Vertically opposite angels made by two lines crossing each other are equal.

So, we have two angles ([tex]\angle L \cong \angle M[/tex] and [tex]\angle KHL \cong \angle NHM[/tex])of the triangle as same and one side equal from the two given triangles [tex]\triangle HLK, \triangle HMN[/tex].

So, we can say that the two triangles are congruent.

[tex]\triangle HLK \cong \triangle HMN[/tex]

The side is not between the two equal angles, so it is AAS congruence.

And Congruent triangles have their corresponding angles equal.

Therefore, option D) is true :

ΔHLK ≅ ΔHMN by AAS; ∠K ≅ ∠N, because they're corresponding angles in congruent triangles.

Answer:

ΔHLK ≅ ΔHMN by AAS; ∠K ≅ ∠N because they're corresponding angles in congruent triangles.

Step-by-step explanation: I took the test

Felicia drew a triangle with side lengths that measured 15 cm, 18 cm and 27 cm. To determine if Felicia drew a right triangle, she can use the equation:

Answers

Answer:

The equation should be h²=P²+b²

27²=15²+18²

729=225+324

729=549

thus, it is not right angle triangle

Scientists in Maine estimates the 3 out of every 11 bears are born during the month of April predict how many bears are born in April out of 165 births

Answer fast plsss

Answers

The answer should be 45 are born. If you take the 3 out of every 11 and turn it into a fraction so 3/11 and set it up like 3/11=x/165. You will be able to slice for the answer 45.

If W = 3x + 1 and P = -2x + 7, what is 2W + 2P

Answers

Answer:

2x+16

Step-by-step explanation:

2W+2P

Lets substitute the W and the P for their respective values.

2(3x+1) + 2(-2x+2)

Simplify

6x + 2 + -4x + 4

Simplify again

2x + 6

And there you have it!

Answer:

2x + 16

Step-by-step explanation:

2W + 2P

= 2(3x + 1) + 2(- 2x + 7) ← distribute both parenthesis

= 6x + 2 - 4x + 14 ← collect like terms

= 2x + 16

please help i’m having a lot of trouble

Answers

Answer:

14°

Step-by-step explanation:

Because 76° and x are complementary (meaning they add up to 90°), 76 + x = 90 which means x = 14°.

I need help on these two questions please.

Answers

Answer:

They are similar

Step-by-step explanation:

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