My son wants to celebrate his birthday at the bowling alley with a few of his friends. He has $70 to spend. The bowling alley charges a flat fee of $40 for a private party and $4.50 per person for shoe rentals and unlimited bowling.

The maximum number of people he can pay for at the bowling alley is __.​

Answers

Answer 1

Answer: he can pay for 6 people total (including him)

Step-by-step explanation:

first lets subtract the flat fee from the total amount of money he has

70 - 40 = 30

now lets divide 30 by  $4.50 to see how many people he can pay for

30 / $4.50 = about 6.5

obviously you cant pay for half a person so he can invite 5 people (he also has to pay for himself)

Answer 2

Answer:

6 people

Step-by-step explanation:


Related Questions

can somebody help me with this question !​

Answers

Answer:

No please! Mr excuse me I am not your type bye

some number was divided into 176.9. this quotient was then multiplied by 4 , after which the resulting product was added to 10.2 given this sum totalled -38.6, find the initial number

Answers

9514 1404 393

Answer:

  -14.5

Step-by-step explanation:

Let the number be represented by x.

  176.9/x . . . . the quotient of some number divided into 176.9

  4(176.9/x) . . . . the quotient multiplied by 4

  10.2 + 4(176.9/x) . . . . the product added to 10.2

And that totals -38.6:

  -38.6 = 10.2 +4(176.9/x)

Solution

  -48.8 = 4(176.9/x) . . . . subtract 10.2

  -12.2 = 176.9/x . . . . . . . divide by 4

  x = 176.9/(-12.2) . . . . . multiply by x/-12.2

  x = -14.5 . . . . . . . . . . . finish the division

The initial number is -14.5.

A cylinder has a diameter of 24 inches. If its height is half its radius, what is the volume of the cylinder in cubic inches?

A.

72π cu. in.

B.

864π cu. in.

C.

3,456π cu. in.

D.

6,912π cu. in.

Answers

Answer:

B. 864π cu. in.

Step-by-step explanation:

Given the following data;

Diameter = 24 inches

Radius, r = diameter/2 = 24/2 = 12 inches

Height, h = radius/2 = 12/2 = 6 inches

To find the volume of the cylinder in cubic inches;

First of all, we would determine the area of its circular base.

Area of circle = πr²

Area = π * 12²

Area = 144π in² (in terms of pie, π)

Next, we would find the volume of the cylinder;

Mathematically, the volume of a cylinder is given by the formula;

V = πr²h

Where;

V is the volume of a right circular cylinder.r represents the radius of the cylinder.h represents the height of the cylinder.

Substituting into the formula, we have;

Volume = 144π * 6

Volume = 864π cu. in

Answer:

B. 864π cu. in.

Step-by-step explanation:

In a class of 40 students, a teacher surveyed everyone to see how many had a pet dog (D), a pet cat (C), or a pet bird (B). 28 students have a cat. Of those 28, 10 of them also have a bird. 19 students have a dog. Of those 19, 6 of them also have a cat and 2 of them also have a bird. Out of the 40 students, 2 of them have all three pets.



​Draw a Venn Diagram to help you answer the questions.



​Find P(B). Write your answer as a percent to the nearest tenth. Do NOT include the percent sign!

Answers

Answer:

This cant be an accurate question, i drew the diagram and before i got to the people who only have birds i already had over 40 people total

Step-by-step explanation:

4. If you color the perfect squares on a multiplication table, you will be coloring a_______ line.

A. Diagonal
B. Vertical
C. Horizontal
D. Zig-zag

Please helpppp

Answers

Answer:

A. Diagonal line

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Step-by-step explanation:

In a wildlife park, there were 18 gray wolves. After three years, there were 27 gray wolves. What is the percent gain?

Answers

27-18=9 (difference between)
9/18=0.5 (9 as a percentage of original as a decimal)
0.5x100=50 (as a percentage)

50% increase

Answer:

50%.

Step-by-step explanation:

Gain as a fraction is (27-18) /18

= 9/18

= 1/2.

Percent gain = 1/2 * 100 = 50%.

Name the property shown by the statement. (5 + m) + n = 5+ (m + n)

Answers

Answer:

Associative property of addition

100 POINTS!!!!
What is the value of 2 + (-2/3) ^2 ÷1/3 ?
16
3 1/3
-2
0

Answers

Answer:

10/3

Step-by-step explanation:

remember about right order

(1) At the local nursery, 1/2 of the plants for sale are flowers and another 1/10 of them are
bushes. What fraction of the plants for sale are either flowers or bushes?

Answers

Answer:

6/10

Step-by-step explanation:

Look at is a whole. Half the plants are flowers, and just a few are bushes. That leaves other plants that are neither.

We can find a total amount of plants that are either flowers or bushes by combining the two.

Because 1/2 and 1/10 are not currently combinable, you must find a common denominator. This common denominator is 10. If you multiply 2 by 5, you'll get 10.

[tex]\frac{1}{2} +\frac{1}{10}[/tex]

[tex]\frac{5}{1} (\frac{1}{2} )+\frac{1}{10}[/tex]

[tex]\frac{5}{10} +\frac{1}{10}[/tex]

[tex]\frac{6}{10}[/tex]

This means that 6/10 of the whole number of plants are either flowers or bushes. You could also say it means that 4/10 of the plants are something other than flowers or bushes.

I hope this helped :)

How to do long division ​

Answers

Answer:

if you wanna do long division you have to simply just follow a procedure that is nice and easy so long division method is mainly need to find the square of a number with out using the prime factorization method the procedure is consisting of these of two steps

Obtain the number whose square root is to be computed

place bars every pair of digits starting with the unit digits .Also place a bar on one digit if any not forming a on the extreme left. each pair and the remaining one digit (if any) on the extreme left is called a period

think of the largest number whose square is less than or equal to the first period . if this number as the divisor and the quotient

put the question above the period and write the product of divisor and question just below the first period.

subtract the product of divisor and quotient from the first period and bring down the next point to the right of the remainder this becomes the next dividend.

double the question as it appears and enter It to the blank on the right for the next digits, as the next possible divisor.

think of a digit to fill the blank in step 6 in such a way that the product of new divisor and its digit is equal to or just less than the new dividend obtained in the step 5 .

subtract the product of the digits chosen in steps 7 and the new division from the dividend obtained in step 5 and bring down the next period to the right of the remainder of this becomes new dividend .

repeat the steps 5 6 and 7 till all the periods have been taken up .

obtain the quotient as a square root of the given number .

Hope it helps

3x + 14 < 38
Please show work

Answers

3x + 14 < 38

Subtract 14 from both sides:

3x < 24

Divide both sides by 3:

X < 8

Find 3v - 4w if v = -3i and w=-i + 5j. Use < > for
vector notation.

Answers

Answer:

[tex]<-5, 20>[/tex]

Step-by-step explanation:

What we're given:

[tex]\vec{v}=-3i[/tex] [tex]\vec{w}=-i+5j[/tex]

The vector [tex]3v-4w[/tex] is then [tex]3(-3i)-4(-i+5j)=-9i+4i-20j=-5i+20j\implies \boxed{<-5, 20>}[/tex]

What is the x-value of point A?
1
6
4
ТА
2
-6
-4
-2
-8
х
-2
-4
-6
please help and hurry!!

Answers

The correct answer is 4

What is the inverse of the statement below?
x →y
A. -X
B. y = x
C. y = x
O D. -x=y

Help plz

Answers

Answer:

d -x=y the awnssr may not be correct but I tried so

Identify the relationship (complementary, linear pair/supplementary, or vertical) and find the measure of angle b in the image below

Answers

Answer:

Relationship: supplementary

B = 110

Step-by-step explanation:

The two angles shown form straight line

Angles that form a straight line add up to equal 180. Angles that add up to 180 are known as supplementary angles

If the angles add up to equal 180 then b + 70 = 180

Subtract 70 from both sides

b = 110

You bought 6 bars of home made soap from eBay, and weighed them on an electronic scale. They weighed 4.003, 4.006, 4.012, 4.008, 4.004, and 4.009 ounces. What is the average weight of the bars? *DON'T ROUND*

1. 4.010 ounces.
2. 4.007 ounces.
3. 24.042 ounces.

Answers

2 add them all together and divide by 6 and you get 4.007

The average weight of the soap bars is 4.007 ounces. Therefore, option 2 is the correct answer.

What is the average?

In maths, the average value in a set of numbers is the middle value, calculated by dividing the total of all the values by the number of values. When we need to find the average of a set of data, we add up all the values and then divide this total by the number of values.

Given that, the weight of 6 home made soaps are 4.003, 4.006, 4.012, 4.008, 4.004, and 4.009 ounces.

We know that, average = Sum of all the observations/Number of observations

Here, the average = (4.003+4.006+4.012+4.008+4.004+4.009)/6

= 24.042/6

= 4.007 ounces

Therefore, option 2 is the correct answer.

To learn more about an average visit:

https://brainly.com/question/11195029.

#SPJ3

Fred drew the pentagon below how should fred fold the pentagon to determine

Answers

The question is incomplete. The complete question is :

Fred drew the pentagon below how should Fred fold the pentagon to determine if ∠ C is congruent to ∠ D ?

Solution :

Given Fred drew a pentagon as shown below :

In mathematics, congruent angles are defined as the angles having the same measure or the same angle.

A angles of a regular pentagon always have the same measures and each angle is equal to 108 degrees.

In the context, Fred drew a pentagon and if he folds the pentagon along the vertical axis, the side BC aligns with the side DE and thus it makes the ∠ C congruent to ∠ D.

What is the slope of the line formed by (7,1) and (-3,3)?

Answers

Answer:

JMK

Step-by-step explanation:

Answer:

[tex]-\frac{1}{5}[/tex] is the slope of the line.

Step-by-step explanation:

(7 , 1) = (x1 , y1)

(-3 , 3) = (x2 , y2)

slope = y2 - y1/x2 - x1

=3 - 1/-3 - 7

=2/-10

=1/-5

=[tex]-\frac{1}{5}[/tex]

Two friends Vicky and Love start a business together. They decided to share their capitals depending upon the variable

expenditure. The capital of the two

partners together is given by polynomial 6x+10x -35, which is the product of

their individual share factors.

On the basis of the above information,

answer the following questions.

i) The total expenditure of Vicky and Love

when x = 10 is (in )

(a) 375 (b) 475

(c) 575 (d) 675

(ii) The shares of the Vicky and Love

individually is

(a) 2x +7, 3x -

5

(b) 3x -5, 2x +7

(c) Both (a) and (b)

(d) None of the above

(iii) The value of x, when their shares are

equal

(a) 12 (b) 10

(c) 8 (d) 6

(iv) The value of x, when their total share is

equal tob0

7

(a)- (b) 3

(c) Both (a) and (b) (d) None of these

(v) The sum of their expenditure is

(a) 5r -2 (b)5x+2 (c) 4x-2 (d) 4x+2​

Answers

I'm pretty sure it's b but if I'm wrong sorry

With three people living together, how will the rent and other expenses be split?

Answers

Answer:

Everything will be split in threes. You can do this by either multiplying the cost by 1/3 or dividing by 3.

Step-by-step explanation:

1
2
30mm
TIME REMAINING
02:54:29
A used car dealer prices her cars so that she makes a minimum profit of 15% on each car sold. If she acquired a car
for $4,500, which inequality can be used to determine the acceptable selling prices, p, of that car?
SESE
O 1.15ps4,500
O 1.15p24,500
O P51.15(4,500)
O p21.15(4,500) W
Submit

Answers

I would say probably A

m2 = 10x + 2 and m2) = 9x + 8.
Find x.
U
Solve for x.

Answers

Answer:

x=m2/10 − 1/5

x=m2/9 − 8/9

Step-by-step explanation:

9: A rectangular room is 14m long and 8m wide. Jessica is going to carpet the room with carpet that costs £17.50 per square metre. Work out the cost of carpeting the room. ​

Answers

Answer:

£1,960

Step-by-step explanation:

Find the area of the room using the formula, A = lw

Plug in the length and width, and solve:

A = lw

A = 14(8)

A = 112

So, the area of the room is 112 square meters. Find the cost of carpeting the room by multiplying this by the price, £17.50

112(17.5)

= 1960

So, the price will be £1,960

Given The following right triangle, what is the ratio of Cos(b)
A) 5/13
B) 5/12
C) 13/5
D) 12/13

Answers

Answer:

A. 5/13

Step-by-step explanation:

Cos = Adjacent/Hypotenuse

Adjacent of B = 5

Hypotenuse = 13

Hence CosB = 5/13

Mrs.Tate is 5 feet 3 inches tall. Her daughter is 4 feet 8 inches tall. How much taller is Mrs.Tate than her daughter?

A) 5 inches
B) 7 inches
C) 1 foot 5 inches
D) 1 foot 7 inches

Answers

Answer: 7 inches (choice B)

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

Explanation:

1 foot = 12 inches

5 feet = 60 inches (multiply both sides by 5)

5 ft, 3 in = 63 inches (add 3 inches to both sides)

Through similar steps, you should find that 4 ft 8 in converts to 56 inches

The difference is 63-56 = 7 inches

Please click the photo and there are two questions to solve .Please help me guys

Answers

Answer:

Step-by-step explanation:

Distance formula:

[tex]\sqrt{(X_2-X_1)^2+(Y_2-Y_1)^2}[/tex]

Distance for AB

[tex]\sqrt{(4-2)^2+(1-(-5))^2}=\sqrt{4+36}=\sqrt{40}\\[/tex]

Distance for AC

[tex]\sqrt{(8-2)^2+(-3-(-5))^2}=\sqrt{36+4}=\sqrt{40}[/tex]

2.

same formula solve when positive

[tex]5=\sqrt{(6-3)^2+(y-2)^2}\\25=9+(y-2)^2\\16=(y-2)^2\\4=y-2\\6=y[/tex]

Now when it's negative

[tex]5=\sqrt{(6-3)^2+(y-2)^2}\\25=9+(y-2)^2\\16=(y-2)^2\\-4=y-2\\y=-2[/tex]

so y can equal 6 or -2

Anthony is building a rectangular shaped swimming pool with a perimeter of 80 feet. Determine a function A(w) that models the area of the top surface of the swimming pool in terms of width W. A(w)= For w>0

Answers

Answer:

[tex]A(w) = 40w - w^2[/tex]

Step-by-step explanation:

Given

[tex]P = 80[/tex] --- perimeter

Required

Define the area in terms of width

The perimeter of the pool is:

[tex]P =2(l + w)[/tex]

Where:

[tex]l\to length[/tex]

[tex]w\to width[/tex]

So:

[tex]80 =2(l + w)[/tex]

Divide by 2

[tex]40 =l + w[/tex]

Make l the subject

[tex]l = 40-w[/tex]

The area is then calculated as;

[tex]A(w) = l * w[/tex]

Substitute: [tex]l = 40-w[/tex]

[tex]A(w) = (40 - w) * w[/tex]

[tex]A(w) = 40w - w^2[/tex]

points E, F and D are located on the circle C. The measure of arc ED is 108.
What is the measure of angle ECD ?

Answers

Answer:

Lines are drawn from points E and D to point F to form chords E F and D F. ... Arc E D is 68 degrees. The measure of arc ED is 68°.

Calculate the total surface area and the volume of a cone of base diameter 9cm and slant height of 12cm

Answers

Answer:

T.S.A = 233.29 cm²

volume of the cone = 235.84 cm³

Step-by-step explanation:

Given;

diameter of the cone, d = 9 cm

radius of the cone, r = 4.5 cm

slant height of the cone, l = 12 cm

The total surface of the cone is calculated as;

T.S.A = πr²  +  πrl

T.S.A = πr(r + l)

T.S.A = 3.142 x 4.5(4.5 + 12)

T.S.A = 233.29 cm²

The volume of the cone is calculated as;

[tex]V = \frac{1}{3} \pi r^2h[/tex]

Where;

h is height of the cone

h² = 12² - 4.5²

h² = 123.75

h = √123.75

h = 11.12 cm

[tex]V = \frac{1}{3} \pi \times (4.5)^2 \times 11.12\\\\V = 235.84 \ cm^3[/tex]

3. Round off the following numbers to three decimal places:
a) 31,1104
b) 0,10989​

Answers

A) 31.110
B) 0.110

When rounding to three decimal places, you consider if the number to the right of the third decimal place is less than or greater than 5. If it's less than 5, then the digit in the third decimal place stays the same. If it is greater than or equal to 5, then you round the digit in the third decimal place up by one.

Answer:

311.104

010.989

Step-by-step explanation:

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Please solve and show your work please.A) original : 233 new: 200 When Beowulf realizes that the battle with the fire dragon will go against him, hea. dies.C. curses fate and blames God.b. continues to fight.d. allows the fire dragon to inflict a mortal blow. 4x-5y+2x+4+6+9y+7x+2 In a pie chart the central angle in degrees at the center of the circle is a) 180 b) 360 c) 270 d) 90 Consider the case of Cranked Coffee Company:Cranked Coffee Company is a mature firm that has a stable flow of business. The following data was taken from its financial statements last year:Annual sales $10,200,000Cost of goods sold $6,630,000Inventory $3,200,000Accounts receivable $2,200,000Accounts payable $2,400,000Cranked Coffees CFO is interested in determining the length of time funds are tied up in working capital. Use the information in the preceding table to complete the following table. (Note: Use 365 days as the length of a year in all calculations, and round all values to two decimal places.)ValueInventory conversion period 46.93; 41.71; 176.71; or 39.11Average collection period 27.25; 78.73; 24.38; or 22.94Payables deferral period 32.50; 41.07; 33.24; or 132.13Cash conversion cycle 39.62; 122.77; 37.54; 45.88B: Both the inventory conversion period and payables deferral period use the average daily COGS in their denominators, whereas the average collection period uses average daily sales in its denominator. Why do these measures use different inputs?Inventory and accounts payable are carried at cost on the balance sheet, whereas accounts receivable are recorded at the price at which goods are sold.Current assets should be divided by sales, but current liabilities should be divided by the COGS.C. Is there generally a positive or negative relationship between net working capital and the cash conversion cycle?(In other words, if a firm has a high level of net working capital, is it likely to have a high or low cash conversion cycle?)There is a positive relationship between net working capital and the cash conversion cycle.There is a negative relationship between net working capital and the cash conversion cycle.D. What are the four key factors in a firms credit policy?Credit terms, discounts, credit standards, and collection policyCredit period, discounts, credit standards, and collection policyE. If the credit terms as published by a firm were 2/15, net 60, this means the firm will:allow a 2% discount if payment is received within 15 days of the purchase, and if the discount is not taken the full amount is due in 60 days.allow a 15% discount if payment is received within 2 days of the purchase, and if the discount is not taken the full amount is due in 60 days.F. The management at Cranked Coffee Company wants to continue its internal discussions related to its cash management. One of the finance team members presents the following case to his cohorts:Case in DiscussionCranked Coffee Companys management plans to finance its operations with bank loans that will be repaid as soon as cash is available. The companys management expects that it will take 40 days to manufacture and sell its products and 35 days to receive payment from its customers. Cranked Coffees CFO has told the rest of the management team that they should expect the length of the bank loans to be approximately 75 days.Which of the following responses to the CFOs statement is most accurate?The CFO is not taking into account the amount of time the company has to pay its suppliers. Generally, there is a certain length of time between the purchase of materials and labor and the payment of cash for them. The CFO can reduce the estimated length of the bank loan by this amount of time.The CFOs approximation of the length of the bank loans should be accurate, because it will take 75 days for the company to manufacture, sell, and collect cash for its goods. All these things must occur for the company to be able to repay its loans from the bank.Setting and implementing a credit policy is important for three main reasons:It has a minor effect on sales, it influences the amount of funds tied up in receivables, and it affects bad debt losses.It has a major effect on sales, it influences the amount of funds tied up in receivables, and it affects bad debt losses. Which answer can be used to find the solution to the system of equations? Of the $77.84 direct-deposited from Problem 3, you have 50% placed into a savings account. How much is deposited in the saving account each month?