The cost of bowling is $5 per player for shoe rentals and $45 per hour to book a
lane. Suppose a group of f friends go bowling for h hours. Write an expression for
the total cost for the group of friends to go bowling.

Answers

Answer 1

Writing an expression consists of combining two or more variables, symbols, or numbers, with one or more mathematical operators to form a mathematical sentence that is based on a specific context

The expression for the total cost for bowling is 45·h + 5·f

The reason the above expression is correct is as follows:

The given parameters are;

The cost of shoe rentals for bowling per player = $5

The cost to book a lane per hour = $45

The number of people in the group of friends = f

The number of hours the friends go bowling = h

Required:

To write an expression for the total cost for the group of friends to go bowling

Solution:

Let the number of lanes the friends book= 1

The total cost, C, is the cost to book one lane at $45 per hour for h hours, plus the cost for the f number of friends to rent one shoe each at $5 per player (person)

Mathematically,  C = 45·h + 5·f

The expression for the total cost for the group of friends to go bowling, is therefore;

45·h + 5·f

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Related Questions

Find the area of this triangle.
8 m
14 m
A = [?] m2

Answers

Answer:

A = 56 m^2

Step-by-step explanation:

The area of a triangle is

A = 1/2 bh where b is the base and h is the height

A = 12 (14)(8)

A = 56 m^2

A radio telescope has a parabolic surface, as shown below.

A parabola opening up with vertex at the origin is graphed on the coordinate plane. The height of the parabola from top to bottom is 9 meters and its width from left to right is 12 meters.

If the telescope is 9 m deep and 12 m wide, how far is the focus from the vertex?

Answers

OK, so the graph is a parabola, with points x=0,y=0; x=6,y=-9; and x=12,y=0

Because the roots of the equation are 0 and 12, we know the formula is therefore of the form

y = ax(x - 12), for some a

So put in x = 6

-9 = 6a(-6)

9 = 36a

a = 1/4

So the parabola has a curve y = x(x-12) / 4, which can also be written y = 0.25x² - 3x

The gradient of this is dy/dx = 0.5x - 3

The key property of a parabolic dish is that it focuses radio waves travelling parallel to the y axis to a single point. So we should arrive at the same focal point no matter what point we chose to look at. So we can pick any point we like - e.g. the point x = 4, y = -8

Gradient of the parabolic mirror at x = 4 is -1

So the gradient of the normal to the mirror at x = 4 is therefore 1.

Radio waves initially travelling vertically downwards are reflected about the normal - which has a gradient of 1, so they're reflected so that they are travelling horizontally. So they arrive parallel to the y axis, and leave parallel to the x axis.

So the focal point is at y = -8, i.e. 1 metre above the back of the dish.



100000-76585 full formula​

Answers

Answer:

Bro it is simple the answer is 23415

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

Is x^3x^3x^3 equivalent to x^3^3^3

Answers

Answer:

No they aren't equivalent.

Step-by-step explanation:

x^3x^3x^3=x^3^3^3

[tex](x)^{3x^{3x^3[/tex]=[tex]x^{3^{3^3[/tex]

[tex]x^{3x^{9x}[/tex]=[tex]x^{3^{9}[/tex]

[tex]x^{27x^{2} }[/tex]=[tex]x^{27}[/tex]

Apply log on both sides

27[tex]x^{2}[/tex]logx=27logx

27[tex]x^{2}[/tex]logx/27logx=1

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

This is true if x=1 , -1.

The values are equivalent if x=1 and -1 , otherwise no they aren't equivalent.

Let U= {1,2,3,4,5,6,7,8,9,10}, A={2,4,6,8} B={1,2,3,4}, C={5,6,9}

Hello! i need help with these questions

Answers

Answer: 13. is c, 14. is yes and 15 is no

Step-by-step explanation: Try your best and you might succeed

write and solve an equation to find the value of X. please explain in details and show your work!

Answers

Answer:175 degrees

Step-by-step explanation: The shape isn't properly drawn.But,I assumed it is a five sided polygon because of the fifth ange

A display case of plastic bracelets are marked 13 for $3. If Nate has $60, how many plastic bracelets can Nate get? (assume no other taxes or fees)

Answers

Answer:

$4

Step-by-step explanation:

We can write a ratio to solve

15 stickers       30 stickers

----------------- = -------------

2 dollars           x stickers

Using cross products

15x = 2*30

15x = 60

Divide by 15

15x/15 = 60/15

x = 4

Which set of ordered pairs represents a function?

{(9,–7), (1, -3), (6, 7), (6, -6)}

{(-7,7), (5,3), (-7, -7),(1, -9)}

{(8,-6), (-9,2), (-9, -8), (-3,4)}

{(-5, -5),(-9,0),(-8,5), (-6,5)}

Answers

Answer:

{(-5, -5),(-9,0),(-8,5), (-6,5)}

Step-by-step explanation:

A function cannot have a domain that is assigned to multiple values (range).

The first set has 6 assigned to both 7 and -6.

The second set has -7 assigned to both 7 and -7.

The third set has -9 assigned to both 2 and -8.

A rectangular plastic tub is 70 centimetres long, 30 centimetres wide, and 30 centimetres tall. How many litres of water will it hold?

Answers

V = a*b*c
a=70
b=30
c=30
V = 70*30*30
V = 63,000 Cm^3
And in litres we will need to divide by 1000,
1 litres = 1000Cm^3
So:
V =63,000/1000
V= 63 litres

how many inches is in 140 feet?​

Answers

Hey there!

The formula for feet to inches is to simply multiply the length value by 12.

So, multiply 140 by 12.

I believe your answer would be 1680 inches.

Hope this helps!

Have a great day!

Answer:

140 feet is 1680 inches. Don't forget to put your units in; your teacher may dock off points for forgetting to put in the unit.

Step-by-step explanation:

A foot is 12 inches, so you must multiply 140 by 12.

[tex]140\times12=1680[/tex]

Can you conclude that this parallelogram is a rectangle? Explain.

Answers

Answer:

The answer is B.

Step-by-step explanation:

All parallelograms that have congruent diagonals are rectangles.

its b because it’s b

A trapezoid has one base measuring 12', and the other measuring 13'8". What is the area in square feet if the height of the trapezoid is 9'4"?

(Remember for trapezoids A= (b1 + b2)/2 x h

Answers

Answer:

Step-by-step explanation:

buzhou一=12212+13。8.12+13.8=25.8          25.8x9.4=?242.52242.522

The area of the trapezoid is given by A = 121.26 feet²

What is a trapezoid?

The Trapezoid is a 4 sided polygon. Two sides of the shape are parallel to each other and they are termed as the bases of the trapezoid. The non-parallel sides are known as the legs or lateral sides of a trapezoid.

There are three types of trapezoids , and those are given below:

a) Isosceles Trapezoid

b) Scalene Trapezoid

c) Right Trapezoid

The area of the Trapezoid is given by

Area of Trapezoid = ( ( a + b ) h ) / 2

where , a = shorter base of trapezium

b = longer base of trapezium

h = height of trapezium

Given data ,

Let the area of the trapezoid be represented as A

Now , the equation will be

Let the height of the trapezium be H = 9.4 feet

The shorter base of the trapezium a = 12 feet

The longer base of the trapezium b = 13.8 feet

Now , Area of Trapezoid = ( ( a + b ) h ) / 2

On simplifying the equation , we get

Area of Trapezium A = ( ( 13.8 + 12 ) 9.4 ) / 2

Area of Trapezium A = 121.26 feet²

Hence , the area of trapezium is 121.26 feet²

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Solve the following using the order of operations 15+5x8

Answers

Answer:

55

Step-by-step explanation:

Order of operations lists Multiplication before Addition.

So...

8 x 5 = 40

40 + 15 = 55

Answer:

55

Step-by-step explanation:

you have to do 5x8 first and you get 40 and then you add 15

What is the correct answer I will give brainlist only if correct answer ASAP

Answers

Answer:

4 tickets left

Step-by-step explanation:

Dividing 276 by 8 gives you a remainder of 4.

What is the probability that a normal random variable with mean 6 and standard deviation
3 will fall between 5.7 and 7.5

Answers

Answer:

z-score=7.5-6        1.5

___________=______=0.5

3                                   3

Step-by-step explanation:

Look up -0.1 on a z-table. The result is 0.4602. The means there is a 0.4602 probability the random variable will be below 5.7.

The find the probability the random variable will be between 7.5 and 5.7, simply subtract the two probabilities we found (above) from one another:

0.6915+-+0.4602+=+0.2313

So, there is a 0.2313 probability the random variable will fall between 7.5+and 5.7.

Solve the inequality and enter your solution as an inequality in the box below,
using "<=" for sor">=' for if necessary.
-2(5x + 1) > 48​

Answers

Answer:

x < -5

Step-by-step explanation:

-2(5x+1) >48

-10x-2 > 48

-10x-2+2 > 48+2

-10x > 50

p.s : when dividing by a negative number with inequalities, change the sign, i.e. < would then be >....

therefore:

x < -5

A bag contains 8 red marbles, 4 blue marbles and 7 green marbles. If three marbles
are drawn out of the bag, what is the exact probability that all three marbles drawn
will be red?

Answers

At the start, there are a total of 19 marbles. The chance of pulling one red is 8/19 (because there are 8 red).

Based on the way you stated the questions, I do not assume the red marble that was pulled first would be put back, so there’s only 18 marbles left to choose from and 7 of those are red. So on the second marble, you have 7/18 chance of pulling a red.

Again, since neither of the first two marbles were put back, you now have 17 marbles left and 6 of those are red. So you have a 6/17 chance of pulling a third red marble.

Multiply those together, 8/19 * 7/18 * 6/17 and you’ll have your answer.

Answer:

NO. OF RED =8

NO. OF BLUE=4

NO. OF GREEN=7

THEREFORE,TOTAL MARBLES=19

THEREFORE,PROBABILTY OF RED MARBLES=8/19.

brainiest to whoever right !

Answers

Answer:

m<RST = 32°

m<TSQ = 58°

Step-by-step explanation:

m<RST here, meaning the angle of the whole diagram is 90 degrees as you can see.

m<RSQ + m<TSQ = m<RST

15x — 43 + 8x + 18 = 90

23x — 25 = 90

       +25     +25

---------------------------

23x = 115

/23      /23

----------------------------

x = 5

Now, plug this into the equation for m<RSQ and m<TSQ to find their values.

m<RSQ = 15x — 43

= 15x - 43

= 15(5) - 43

= 75 - 43

= 32

m<TSQ = 8x + 18

= 8x + 18

= 8(5) + 18

= 40 + 18

= 58

Now, check to see if our values are right or not.

15x — 43 + 8x + 18 = 90

15(5) — 43 + 8(5) + 18 = 90

75 - 43 + 40 + 18 = 90

32 + 40 + 18 = 90

90 = 90 CORRECT

Given MP with M(-12, -5) and P(9, -12), if N lies on MP such that the ratio of MN to NP is 3:4, find the coordinates of N.

Answers

Answer:

(-3,-8)

Step-by-step explanation:

MN:Np=3:4   Let m:n=3:4

Use the formula

xN=(xM*n+xP*m)/(m+n)

yN=(yM*n+yP*m)/ (m+n)

xN= ((-12)*4+9*3)/ (4+3)=-3.

yN=((-5)*4+(-12)*3)/(4+3)=-8.

Solve equation 3.2x=25.6

Answers

Answer:

x=8

Step-by-step explanation:

3.2x=25.6

Divide each side by 3.2

3.2x/3.2=25.6/3.2

x =8

Answer:

[tex]x = 8[/tex]

Step-by-step explanation:

[tex]3.2x = 25.6 \\ \frac{3.2x}{3.2} = \frac{25.6}{3.2} \\ x = 8[/tex]

Find the opposite of: - 4x2 - 4x + 2

Answers

Answer:

4x² + 4x - 2

Step-by-step explanation:

The opposite is the negative value

The opposite of - 4x² - 4x + 2 is

- (- 4x² - 4x + 2) ← distribute parenthesis by - 1

= 4x² + 4x - 2

find the measure of angle of ABF​

Answers

Answer: m∠ABF = 120°

Concept:

Here, we need to know the idea of the corresponding angle theorem and linear pair postulate.

The corresponding angle theorem states that if a transversal cuts two parallel lines, their corresponding angles are congruent.

The linear pair postulate states that two angles that form a linear pair are supplementary.

Solve:

Given information

m∠ABF = m∠ABF = 2x + 3x

According to the corresponding angle theorem, ∠ABF is congruent to ∠BCI which is 2x + 4x.

m∠BCH = 3x

Total angle = 180°

∠ABF and ∠BCH are linear pairs which means they form a supplementary angle.

Given equation

m∠ABF + m∠BCH = Total Angle

Substitute values into the equation

2x + 4x + 3x = 180

Combine like terms

9x = 180

Divide 9 on both sides

9x / 9 = 180 / 9

x = 20

m∠ABF = 2x + 4x = 2 (20) + 4 (20) = 40 + 80 = 120°

Hope this helps!! :)

Please let me know if you have any questions

PLEASE HELP

-10+7/4p=-38

Show your work in details if you can, I have a hard time understanding this.

Answers

Answer: p=-16

hope this helps

a rectangular garden is 3 times as long as it is wide .the perimeter is 32m . find the dimensions of the garden​

Answers

Answer:

Width= 4

length= 12

perimeter= (16+4)×2

3x+3x+x+x=32, let x be the dimensions

8x=32

x=4

so 3(4)=12

Which equation does not have the same solution as the others

×/3 =3
X + 9 = 12
11 x= 33
X - 2 = 1

Answers

Answer:

the first cuz in

x/3 = 3

x = 9

and in others x = 3

...............

Answer:

x/3=3

Step-by-step explanation:

because is undiferned because x can not be x/3=3

1 A recipe for sugar cookies requires 2 cups of
flour for every 2/3 cups of sugar.
At this rate, how many cups of sugar should be used if 5 cups of flour is included?

Answers

Answer:

3 cups of sugar should be used if 5 cups of floue is included

for the following geometric sequence find the explicit formula. {12, -6, 3, ...}​

Answers

Answer:

It's geometric sequence where a_1=12, q=-\dfrac{1}{2}a

1

=12,q=−

2

1

So a_n=12\cdot\left(-\dfrac{1}{2}\right)^{n-1}a

n

=12⋅(−

2

1

)

n−1

Answer:

[tex]a_{n}[/tex] = 12 [tex](-\frac{1}{2}) ^{n-1}[/tex]

Step-by-step explanation:

The nth term of a geometric sequence is

[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]

where a₁ is the first term and r the common ratio

Here a₁ = 12 and r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{-6}{12}[/tex] = - [tex]\frac{1}{2}[/tex] , then

[tex]a_{n}[/tex] = 12 [tex](-\frac{1}{2}) ^{n-1}[/tex] ← explicit formula

Give the equation of a line that passes
through (9,2) and is parallel to:
y = 3x - 6

Answers

Answer:

y = 3x - 25

Step-by-step explanation:

If the line is parallel, it will have the same slope. So, the line will also have a slope of 3.

Plug in the slope and given point into y = mx + b, and solve for b:

y = mx + b

2 = 3(9) + b

2 = 27 + b

-25 = b

Plug in the slope and y intercept into y = mx + b:

y = mx + b

y = 3x - 25

So, the equation of the line is y = 3x - 25

I have one flat face 1 curved face 1 edge or corner I am aI have 6 equal square faces 12 edges and 8 vertices I am a ​

Answers

Answer:

A . sphere B. Square

Step-by-step explanation:

........

2/3 divided by 3/10

Thanks

Answers

Answer:

[tex] \frac{20}{9} [/tex]

Step-by-step explanation:

[tex] \frac{2}{3} \div \frac{3}{10} [/tex]

➡️ [tex] \frac{2}{3} \times \frac{10}{3} [/tex]

➡️ [tex] = \frac{20}{9} [/tex] ✅

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