A school reserved a banquet hall for the spring dance. In addition to a $100 deposit, each couple must pay $20. If the total cost of the banquet hall is $1, 140, write and solve an equation to find the number of couples attending the spring dance.

Please help me!! I have been stuck on this question for too long.

Answers

Answer 1

Answer: A school reserved a banquet hall for the spring dance. In addition to a $100 deposit, each couple must pay $20. If the total cost of the banquet hall is $1,140, write and solve an equation to find the number of couples attending the spring dance. b. Solve the problem arithmetically. Show the steps you used. c. Compare and contrast the steps you used to solve the problem algebraically and arithmetically.

Step-by-step explanation:

there ya go this was hard

Answer 2
52 Couples, (I’m new I don’t know if I’m doing this right) if we are talking about the total price then we have to subtract 100 because The $100 wasn’t a part of how much the couples had to pay. And then you’ll get 1040 and then you have to divide 1040 by 20 and then 52 will be left.(please don’t blame me if this is wrong lol just trying to help if I can)

Related Questions

what is the value of 7 in the number 21,780​

Answers

Answer:

It us in the hundreds place . Hope that helps !

The water usage at a car wash is modeled by the equation W(x) = 5x3 + 9x2 − 14x + 9, where W is the amount of water in cubic feet and x is the number of hours the car wash is open. The owners of the car wash want to cut back their water usage during a drought and decide to close the car wash early two days a week. The amount of decrease in water used is modeled by D(x) = x3 + 2x2 + 15, where D is the amount of water in cubic feet and x is time in hours. Write a function, C(x), to model the water used by the car wash on a shorter day. C(x) = 5x3 + 7x2 − 14x − 6 C(x) = 4x3 + 7x2 − 14x + 6 C(x) = 4x3 + 7x2 − 14x − 6 C(x) = 5x3 + 7x2 − 14x + 6

Answers

To model the water used by the car wash on a shorter day, we need to find the difference between the water usage over a full day and the water usage over a reduced day (i.e., with the car wash closed for two hours less than it would be on a full day). Let the number of hours the car wash is open on a full day be x hours. Then the amount of water used on a full day would be W(x). And the amount of water used on the reduced day (i.e., with the car wash closed for two hours less than on a full day) would be C(x). Therefore, we have:


W(x) - C(x) = 2(W(x) - C(x))


Solving this equation for C(x), we get:


C(x) = (W(x) - 2W(x))
= W(x)(1 - 2)
= (5x3 + 9x2 - 14x + 9)(1 - 2)
= (5x3 + 7x2 - 14x + 6)


Therefore, the function C(x) to model the water used by the car wash on a shorter day is:
C(x) = (5x3 + 7x2 - 14x + 6)

Can someone please help will give Brainliest!!!!

Can someone please help will give Brainliest!!!!

Answers

Answer:

the first and the seconed and the fourth

A researcher is standing in a corner (point c) of a triangler plot. the angle to point a is S76E the angle to point b is N32E The distance between point c and point a is 210 ft and the distance between point c and point b is 150 ft
find the distance between point a and point b

Answers

Answer:

We can use the Law of Cosines to find the distance between points a and b.

Using the angles given, we can find the angle between points a and b:

Angle C = 180 - (76 + 32) = 72 degrees

Next, we can use the Law of Cosines:

c^2 = a^2 + b^2 - 2ab cos(C)

where c is the distance between points a and b, a is the distance between point c and point a (210 ft), b is the distance between point c and point b (150 ft), and C is the angle between points a and b (72 degrees).

Plugging in the values:

c^2 = 210^2 + 150^2 - 2(210)(150)cos(72)

c^2 ≈ 21069.27

Therefore, the distance between points a and b is approximately:

c ≈ 145.2 ft

One sphere has a radius of 3 inches and another sphere has a radius of 6 inches. The volume of the larger sphere is about how many times the volume of the smaller sphere?

Answers

Answer:

8

Step-by-step explanation:

First off, we need to recognize that the formula for the volume of a sphere is \(\frac{4}{3} \pi r^3\).

Then, we can plug in our r values one at a time.

The volume for the sphere with a 6-inch radius is about 904.779.

The volume for the sphere with a 3-inch radius is about 113.097.

To find how much greater the larger sphere is, we simply create a ratio between the two numbers: \(\frac{904.779}{113.097}\)

Do the division to find that the volume of the larger sphere is about 8 times the volume of the smaller sphere.

The pet store can keep 14 fish in each tank. To find the number of tanks needed for 338 fish, the store manager solved the problem below.
Answer is multiple 2 by 14

Answers

Answer:

I beilieve it would be about 24 tanks

Step-by-step explanation:

Substitute x=-2 into the expression -2x+4 and simplify

Answers

Answer:

Step-by-step explanation:

here you go mate

step 1

-2x+4  equation

step 2

-2(-2)+4  substitute -2 for x

2+2+4

answer

8

Use the definition of a Taylor series to find the first four nonzero terms of the series for f(x) centered at the given value of a. (Enter your answers as a comma-separated list.) f(x) = 7xex, a = 0

Answers

Answer:

The four first terms are:

\(7x,7x^{2},\frac{21x^{3}}{6},\frac{7x^{4}}{6}\)

Step-by-step explanation:

The function is:

\(f(x)=7xe^{x}\)

The Taylor series around a is given by:

\(F(x)=\sum^{\infty}_{n=0} \frac{f^{n}(a)(x-a)^{n}}{n!}\)

The first 4 terms will be:

\(F(x)=f(0)+\frac{f^{'}(0)(x)}{1}+\frac{f^{''}(0)(x)^{2}}{2}+\frac{f^{'''}(0)(x)^{3}}{6}\)  

Let's find first the derivatives:

\(f'(x)=7(xe^{x}+e^{x})\)

\(f'(0)=7(0e^{0}+e^{0})=7\)

\(f''(x)=7xe^{x}+7e^{x}+7e^{x}=7xe^{x}+14e^{x}\)  

\(f''(0)=14\)  

\(f'''(0)=21\)

\(f''''(0)=28\)    

\(F(x)=0+\frac{7(x)}{1}+\frac{14(x)^{2}}{2}+\frac{21(x)^{3}}{6}+\frac{28(x)^{4}}{24}\)

Therefore, the four first terms are:

\(7x,7x^{2},\frac{21x^{3}}{6},\frac{7x^{4}}{6}\)

I hope it helps you!

 

   

So the Taylor series for the function informed will be:

\(7x; 7x^2; \frac{21x^3}{6} ; \frac{7x^4}{6}\)

The function is:

\(f(x)= 7e^xx\)

The Taylor series around a is given by:

\(f(x)= \sum \frac{f^n (a) (x-a)^n }{n!}\)

The first four terms will be:

\(F(x)=f(0)+\frac{f'(0)(x)}{1}+\frac{f''(0)(x)^2}{2} + \frac{f'''(0)(x)^3}{6}\)

Let's find first the derivaties:

\(f'(x)= 7(e^xx+e^x)\\f'(0)= 7\\f''(x)= 7e^xx+14e^xx\\f''(0)=14\\f'''(0)= 21\\f''''(0)= 28\)

\(F(x)= 0+\frac{7x}{1}+\frac{14x^2}{2}+\frac{21x^3}{6}+\frac{28x^4}{24}\)

Therefore, the four first terms are:

\(7x; 7x^2; \frac{21x^3}{6} ; \frac{7x^4}{6}\)

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please! due in 1 hour! thanks!
The graph of the equation $y =ax^2 + bx + c$, where $a$, $b$, and $c$ are constants, is a parabola with axis of symmetry $x = -3.$ Find $\frac{b}{a}$.

Answers

Answer:

Well $y =ax^2 + bx + c$, = -3. $/$

Step-by-step explanation:

Sharpe Razor Company has total assets of $1,870,000 and current assets of $667,000. It turns over its capital assets one times a year and has $335,000 of total debt. Its return on sales is 5 percent. What is Sharpe’s return on shareholders' equity?

Answers

If  Its return on sales is 5 percent. Sharpe’s return on shareholders' equity is 8.26%.

How to find the return on shareholders' equity?

First step is to find the fixed asset

Fixed asset = $1,870,000 + $667,000

Fixed asset = $2,537,000

Second step is to find the sales

Sales = Total assets × Fixed asset turnover

Sales =  $2,537,000 × 1

Sales = $2,537,000

Third step is to find the stockholder equity

Stockholder equity =  $1,870,000 - $335,000

Stockholder equity = $1,535,000

Fourth step is to find the net income

Net income =  $2,537,000 × 5%

Net income = $126,850

Now let find the return on shareholders' equity

Return on shareholders' equity = Net income / Shareholders' equity

Return on shareholders' equity =  $126,850 /$1,535,000

Return on shareholders' equity = 8.26%

Therefore 8.26% is the return on shareholders' equity.

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Please help this is a test grade I have 3 mins left

Please help this is a test grade I have 3 mins left

Answers

Greetings! Hope this helps!

Answer

Initial volume = 65

Final volume = 69

Object volume = 4

Have a good day!

_______________

A brainliest would help tons! :D

Answer:

initial= 65

final = 69

object volume = 4

Step-by-step explanation:

at first the water its up to 65 then when the object is placed inside the water goes up 4 so the obeject volume is 4  

How many 1/8 foot long wooden pegs can be cut from a plank that is 3/4 foot long?

Answers

Answer:

6 pegs can be cut.

Answer:

24

Step-by-step explanation:

!=1

which choices are in the solution set of the equation below check all that apply 4x=30

Answers

The choice in the solution set of the equation 4x = 30 is x = 7.5

How to determine the solution set?

The equation is given as:

4x = 30

Divide both sides of the equation by 4

4x/4 = 30/4

Evaluate the quotients

x = 7.5

Hence, the choice in the solution set of the equation 4x = 30 is x = 7.5

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Look at the two patterns below: Pattern A: Starts at 5 and follows the rule "add 6" Pattern B: Starts at 5 and follows the rule "add 3" Select the statement that is true. (4 points) a The terms in Pattern A are 2 times the corresponding terms in Pattern B. b The terms in Pattern B are one third the corresponding terms in Pattern A. c The first five terms in Pattern A are 5, 11, 17, 23, and 29. d The first five terms in Pattern B are 0, 5, 8, 11, 14.

Answers

The sample space of the given scenario is -

{SV, WV, SC, SV}.

Probability of an event is the ratio of number of favorable outcomes to the total number of outcomes. Probability is a measure of how likely an event is going to happen.

Given is that Sam goes to an ice cream shop. Also -

Sam can choose between a sugar cone or a waffle cone. Then, Sam needs to choose between the flavors of vanilla and chocolate.

There will be total (2 x 2) = 4 possible elements in the sample space. We can write the elements as -

Sugar Vanilla

Sugar chocolate

Waffle Vanilla

Waffle chocolate

So, the sample space would be -

{SV, WV, SC, SV}.

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Which description explains how uplift can form mountain ranges?
O A. Wind and water carve rock layers and valleys that leaves some rock layers higher over thousands of years.
O B. Lava from underground volcanoes flows through a surface opening in the crust and cools over hundreds of years.
O c Earthquakes cause large blocks of rocks to fall below the ridges of higher surrounding rock layers over tens of years.
Oo. Forces in the crust push toward each other and cause a section of rock to rise above the surrounding rock over millions of years











Answers

Answer: d. Forces in the crust push toward each other and cause a section of rock to rise above the surrounding rock over millions of years

Step-by-step explanation:

Uplift refers to when the earth's crust is forced to rise above the surrounding area due to pressure from underneath (sometimes this pressure can be from above). It is usually the result of forces of compression pulling plates together.

As these plates collide with one another over millions of years, the rock at the collision boundary is forced to rise above the surrounding rock thereby resulting in an uplift.

Help i have been stuck on this question!

Help i have been stuck on this question!

Answers

Answer:

its b i have the quiz

Step-by-step explanation:100 % sure

When RS.1050 is divided between shuvam and Eliza in the ratio of 3:4, how much will Eliza get?​

Answers

Answer:

Eliza gets 600 RS

Step-by-step explanation:

3:4 is the ratio, so divide 1050 into 7 parts. Each part is than 150 RS

Eliza has 4 of the 7 parts, so 150×4=600 RS

749/d * d/749 = 1

d=?

Answers

Answer:

D=1

Step-by-step explanation:

1. Combine multiplied terms into a single fraction
2. Cancel terms that are in both numerator and denominator
3. Divide by 1

Answer:

I honestly don't know but I think its all real numbers but not zero

Step-by-step explanation:

1. Este diagrama representa un número en base diez. El rectángulo grande representa una unidad que es 10 veces el valor del cuadrado. El cuadrado representa una unidad que es 10 veces el valor del rectángulo pequeño. Este es un diagrama que muestra el número dividido en 5 grupos iguales. a. Si un rectángulo grande representa 1,000, ¿qué problema de división mostraba el segundo diagrama? ¿Cuál es la respuesta? b. Si un rectángulo grande representa 100, ¿qué problema de división mostraba el segundo diagrama? ¿Cuál es la respuesta? c. Si un rectángulo grande representa 10,2qué problema de división mostraba el segundo diagrama? ¿Cuál es la respuesta?​

Answers

anejekwppwkwnwlw[owneeh2i1hvwbsjsksosw[wowi18`71611ojsbsbsb

Simplify the expression using the given values

Simplify the expression using the given values

Answers

Answer:

\(y + 1 - x \: when \: x = 4 \: and \: y = 5 \\ \\ y + 1 - x \\ \\ = 5 + 1 - 4 \\ \\ =6 - 4 \\ \\ = 2\)

= y + 1 - x

= 5 + 1 - 4

= 6 - 4

= 2

~ nightmare 5474~

7. Alexis has 145 stickers. She wants to divide the stickers evenly among 5 of her friends. How
many stickers will each friend get?
Write your answer in the box.
stickers.
8. There are 2,472 seats in the school auditorium. The seats are divided into 6 equal sections.
How many seats are in each section? Write your answer in the box.
seats
Explain how you found your answer. Show your work.

Answers

Answer: 7: 29 stickers for each friend

8: 412 seats in each section

Step-by-step explanation:

We will have to divide 145 (stickers) by 5 (friends) to get 29

We will have to divide 2472 by 6 to get 412

7.) 145 ÷ 5 = 29 → Each friend will get 29 stickers

8.) 2,472 ÷ 6 = 412 → There are 412 seats in each second.

I divided for both problems using the long division method and multiplied which is the inverse operation, to check my work.


Case Study:
ABC factory produces 24,000 units. The cost sheet gives the following information:
Direct Materials Rs. 1,20,000
Direct Labour Rs. 84,000
Variable overheads Rs. 48,000
Semi variable overheads Rs. 28,000
Fixed overheads Rs. 80,000
Total Cost
Rs. 3,60,000
Presently the product is sold at Rs. 20 per unit.
The management proposes to increase production by 3,000 units for sales in the foreign market. It is estimated that semi-variable overheads wil
1,000. But the product will be sold at Rs. 14 per unit in the foreign market. However, no additional capital expenditure will be incurred.
O

Answers

Answer:

Current Cost = Rs 360000

24000 units sold at rs 20 per unit

Turnover = 24000 * 20 = Rs 480000

Present Profit = 480000 - 360000 = Rs 120000

Profit per unit = 120000/24000 = 5 rs per unit

cost increased for increasing 3000 Production

Direct Material cost increase = (120000/24000) * 3000 = Rs 15000

Direct Labour cost increase = (84000/24000) * 3000 = Rs  10500

Variable overhead increase = (48000/24000) * 3000 = Rs 6000

Semi variable cost increased = Rs 1000

Cost Increased = 15000 + 10500 + 6000 + 1000 = 32500

Price per unit = Rs 14

Turnover from 3000 units = 14 * 3000 = Rs 42000

Proposed Profit from 3000 units = 42000 -32500 = Rs 9500

Proposed Profit per unit = 9500/3000 =  Rs 3.17

Decision Depends upon management  as Profit is there in a new market but per unit profit is  lesser than current profit

Step-by-step explanation:

Got the answer from amitnrw

Estimate the square root of - 27 to the nearest tenth.
A -5.2
B -5.8
C 5.2
D 5.8

Need answer asap

Answers

Answer:

C (5.2)

Step-by-step explanation:

QUESTION 4 PATTERNS, FUNCTIONS AND ALGEBRA 1. Given 6x³-8x³+2+9x7-4x a. How many terms are there in the polynomial? State the degree of the polynomial c. Determine the value of the polynomial if x=-1 b.​

Answers

Answers:

a)  There are 5 termsb)  Degree = 7c)  The value is -1

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

Explanation:

a) Each term is separated by a plus or a minus.b) The degree is equal to the largest exponent. This applies to single variable polynomials only.c) Replace each x with -1. Then use the order of operations PEMDAS to simplify. You should get -1 as the answer. Use a calculator to confirm. It is a coincidence that we have the same input and output. This will not always happen with any general polynomial function.

find the vertex of the parabola. tell whether the vertex is a maximum or minimum

find the vertex of the parabola. tell whether the vertex is a maximum or minimum

Answers

The vertex of the prabola whose equation is

\(f(x)=ax^2+bx+c\)

is (h, k), where

\(\begin{gathered} h=\frac{-b}{2a} \\ k=f(h) \end{gathered}\)

The vertex is minimum if a has positive value

The vertex is maximum if a has negative value

Since the given equation is

\(f(x)=-4x^2+24x+3\)

a = -4

b = 24

c = 3

Let us find h

\(\begin{gathered} h=\frac{-24}{2(-4)} \\ h=\frac{-24}{-8} \\ h=3 \end{gathered}\)

Let us use h to find k

\(\begin{gathered} k=f(h)=f(3) \\ k=-4(3)^2+24(3)+3 \\ k=-36+72+3 \\ k=39 \end{gathered}\)

The vertex of the parabola is (3, 39)

Since a = -4

That means a is negative, then

The vertex is maximum

A school has 55 students . If 10 of the students are boys , what is the ratio of girls to boys ?

Answers

45:10 I think ? .. that’s how my teacher did it

Solve the inequality and graph the solution on the line provided. 6x-6<-30

Answers

The solution to the inequality 6x - 6 < -30 is x < -4, and it is graphically represented as a closed circle at -4 and shading to the left of -4 on the number line.

To solve the inequality 6x - 6 < -30, we can follow these steps:

Step 1: Add 6 to both sides of the inequality to isolate the variable:

6x - 6 + 6 < -30 + 6

6x < -24

Step 2: Divide both sides of the inequality by 6 to solve for x:

(6x)/6 < (-24)/6

x < -4

The solution to the inequality is x < -4. This means that any value of x less than -4 will satisfy the inequality.

To graph the solution on the number line, we represent -4 as a closed circle (since it is not included in the solution) and shade the region to the left of -4 to indicate all values less than -4.

On the number line, mark a point at -4 with a closed circle:

<--------●-----------------

Then, shade the region to the left of -4:

<--------●================

The shaded region represents the solution to the inequality x < -4.

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what is the approximate value of √42, to the nearest whole number?

Answers

The square root of 45 is 6.48 so the answer would be 6

A snowmobile traveled 32 miles in 2 1/3 hours.

The distance is the product of the rate and the time.

To the nearest tenth, what was the average speed of the snowmobile?

Answers

Answer:

13.7 mph

Step-by-step explanation:

• d = st

Given:

d = 32 milest = 2 1/3 hr = 7/3 hr

Find the rate s:

s = d/ts = 32-7/3 = 32 x 3/7 = 96/7 = 13.7 mph (rounded)

Helpppppppppppppppppppp

Helpppppppppppppppppppp

Answers

Answer:

14

Step-by-step explanation:

i think cos x*2 = y

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