The pool at "Splash Around" is open for 14 weeks during the summer. You can swim for $6 a session, or you can buy membership for
$100 and pay only $4 a session. Which equation would you use to determine how many sessions you must use the pool to justify
buying the membership?

Answers

Answer 1

Answer:

Step-by-step explanation:

if x is the number of times you go swimming

100 + 4x < 6x

Out of an 98 day season

If you attend 50 days, the cost is $300 either with or without the membership

Less than 50 days, it's less expensive to just pay the daily rate.

More than 50 days, it's less expensive to have the membership.


Related Questions

Plsss helpp no links plss

Answers

Answer:

arrange them: -9x^3+2x^3-4x^2+x^2-6x-5x

the simplified is: -7x^3-3x^2-11x

Income You are starting your first job as an assistant manager at a
sporting goods store. You receive a base salary of $14.75 per hour with
time-and-a-half for hours in excess of 40 hours per week. You are paid
every two weeks. Social Security and Medicare are deducted from your
pay. Social Security tax is 6.2% of the gross pay. Medicare tax is 1.45% of
the gross pay. What is the bi-weekly (every two weeks) deduction for
Social Security and Medicare? *
O $118.00
O $76.50
$89.90
$90.27

Answers

The bi-weekly deduction for Social Security and Medicare is $90.27.

Since you receive a base salary of $ 14.75 per hour with time-and-a-half for hours in excess of 40 hours per week, and you are paid every two weeks, and Social Security and Medicare are deducted from your pay, and Social Security tax is 6.2% of the gross pay, and Medicare tax is 1.45% of the gross pay, to determine what is the bi-weekly (every two weeks) deduction for Social Security and Medicare, the following calculation must be performed:

(14.75 x 40 x 2) x ((1.45 + 6.2) / 100) = X 1180 x 0.0765 = X 90.27 = X

Therefore, the bi-weekly deduction for Social Security and Medicare is $90.27.

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in the given figure ,o is the centr of the circle, ab is the diameter and do is perpendicular to ab. prove that angle AEC= ANGLE ODA​

Answers

The given triangles ΔDOA and ΔABC are right triangles that have a

common vertex at point A.

ΔDOA is similar to ΔABC, and ∠AEC is equal to ∠ABC, therefore, ∠AEC = ∠ODA

Reasons:

The given parameters are;

The diameter of the circle with center O = AB

DO ⊥ AB (DO is perpendicular to AB)

Required:

Prove that ∠AEC = ∠ODA

A two column proof is presented as follows;

Statement [tex]{}[/tex]                                                 Reason

1. AB is the diameter of circle     [tex]{}[/tex]                 1. Given

2. DO is perpendicular to AB [tex]{}[/tex]                     2. Given

3. ∠DOA = 90° [tex]{}[/tex]                                             3. Definition of DO ⊥ AB

4. ∠BCA = 90°   [tex]{}[/tex]                                             4. Thales theorem

5. ∠BCA ≅ ∠BCA [tex]{}[/tex]                                         5. Reflexive property

6. ΔDOA ~ ΔABC   [tex]{}[/tex]                                        6. AA similarity postulate

7. ∠ABC ≅ ∠ODA   [tex]{}[/tex]                                       7. CASTC

8. ∠ABC = ∠ODA   [tex]{}[/tex]                                        8. Definition of congruency

9. ∠AEC ≅ ∠ABC   [tex]{}[/tex]                                        9. Angles in the same segment

10. ∠AEC = ∠ABC   [tex]{}[/tex]                                       10. Definition of congruency

11. ∠AEC = ∠ODA   [tex]{}[/tex]                                        11. Transitive property of equality

In statement 6, ΔDOA is similar to ΔABC by Angle-Angle, AA, similarity

postulate, therefore, the three angles of ΔDOA are congruent to the three

angles of ΔABC.

Therefore ∠ABC ≅ ∠ODA by Corresponding Angles of Similar Triangles

are Congruent, CASTC.

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Can someone help me answer please

Answers

Answer:

i dont know sry

Step-by-step explanation:

On which number line -9 and its opposite shown?

Answers

Answer:C TRUST MEEE

Step-by-step explanation:

mark as brainliest

Dylan is knitting a scarf, and he wants the final product to be 4 inches wide and 63 inches long. Each skein of yarn will knit a rectangle that is 4 inches by 9 inches. How many skeins should Dylan buy?

Answers

Answer:

7

Step-by-step explanation:

63 / 9 = 7

How do u do these percentages questions

Answers

Answer:

Step-by-step explanation:Determine the initial format of the number to be converted to a percentage. ...

Carry out a mathematical process on the number to be converted to a percentage. ...

Multiply the result of the mathematical process by 100. ...

Find the percentage of the original or real number. ...

Multiply the final number by 100.

if 7 men and 5 womean have applied for job and 3 applicants are randomly selected from the probability that 2 are men​

Answers

The probability is around 60%-75%. Since you didn’t list answer choices I gave my best guess.

The  probability that 2 men are selected is 49/144

Probability is the likelihood or chance that an event will occur.

If 7 men and 5 women have applied for job, the total number of people that applied will be 12 people

Pr(2 men are selected) = 7/12 * 7/12Pr(2 men are selected) = 49/144

Hence the  probability that 2 men are selected is 49/144

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heyyy can have halppppp

Answers

Answer:

ang hirap naman plss answee

Sam earns $12 per hour. The store offers him a raise--a 6% increase per hour. After the raise,
how much will Sam make per hour?

Answers

Answer:

Solution here

Earning=$12 per hour

Raise=6%

The amount earned by Sam after raise=6×12/100

=72/100

=$0.72

The total amount made by Sam after the raise = $12+$0.72

=$12.72

If a = − 3 and b=−i, then find the value of a^ 3b in fully simplified form.

Answers

Answer:

27i.

Step-by-step explanation:

a^3b = (-3)^3 * -i

= -27 * -i

= 27i.

What is the slope of the line (1,4) (3,2)

Answers

Step-by-step explanation:

the slope is the ratio of "y coordinate change / x coordinate change".

so, in our case here

x changes by +2 (from 1 to 3).

y changes by -2 (from 4 to 2).

so, the slope is -2/2 = -1.

The slope is 567 ok thanks and love ya

QUESTION 20 PLEASE HELPPPP ASAPPPP

Answers

Answer: x=-1, y=-8

Step-by-step explanation: solve for the first variable in one of the equations then subsitutte the result into the other equation

Help me please I don’t know what to don

Answers

The mistake was in the distributive property
4y-(5-9y) =4y-5-9y

It should’ve been 4y-5+9y

SOMEBODY HELP NO LINKS PLZ AND THANK YOU

two stores opened on the same day. Both stores have 75 customers by the end of the first week, Store A'S customers doubled each week for six weeks, Store B's customers increased by 200 each week for six weeks. Which store had more customers at the end of week 5 ?

A Store A
B Store B
C They have the same number of customers
D Not enough information

show work plz and thank you

Answers

Answer: store b

Step-by-step explanation:

Answer: b

Step by step explanation

ALOT OF POINTS FOR THIS ONE

Admission to the state fair is $12, and each ride ticket costs $3.50. Write an
expression to represent the situation and explain what the variable means.

3.50t + 12 where t represents the number of ride tickets
3.50a + 12 where a represents the cost of admission
12a + 3.50 where a represents the cost of admission
12t + 3.50 where t represents the number of ride tickets

Answers

Answer : 3.50t + 12

Step - by - step explanation :

the reason why I think the answer is " 3.50t + 12 " is because . . . since the admission to the state farm is only ONCE - there doesn't need to be a variable there to tell us that it MIGHT repeat more than once.  and because we don't know how many ride ticket will be purchased - there is a variable there to tell us unknown.

Brent buys a dinning table that costs $150 before tax. The sales tax is 8% . How much tax did he pay?

Answers

Answer:

12

Step-by-step explanation:

its just twelve beliebe me

Netan surveyed 460 teenagers to find out their favorite type of movie. He found that 45% of the teenagers surveyed like comedies.

Part A: How many teenagers surveyed like comedies? Show your work. (4 points)

Part B: In another survey, Hannah found that 50% of the total number of teenagers surveyed like thrillers. If 40 teenagers like thrillers, what is the total number of teenagers that Hannah surveyed? Show your work. (4 points)

Part C: Give an example of a situation in which a percentage is greater than 100%. (2 points)

Question 3 options:

Answers

Answer with step-by-step explanation:

A: 207

We know that percentage is out of 100, so we can divide 460 by 100 to find 1%, which is 4.6. We also know 45% percent of teenagers like comedies, so we multiply 4.6 by 45, or 207. 207 teenagers like comedies.

B. 80 teenagers

We know that 50% of teens Hannah surveyed like thrillers. We also know that 40 teenagers like thrillers. Using multiplication, we can multiply 40 by 2, since 50% is half, we need to multiply by 2 to get the total number of teenagers. Hannah surveyed 80 teenagers.

C. Jamie went to the candy store and spent his entire allowance of $20 on candy. His friends gave him $5 more dollars, so he bought candy with that too. He spent 125% of his allowance on candy.

The number of teenagers who like comedy is 207, and The total number of teenagers Hannah surveyed is 100.

What is percentage?

A percentage, often known as percent, is a division by 100. Percentage, which means "per 100," designates a portion of a total sum. 45 out of 100 is represented by 45%, for instance. Finding the percentage of a whole in terms of 100 is what percentage calculation is. Both manual calculation and the use of internet calculators are options.

Given:

Netan surveyed 460 teenagers, He found that 45% of the teenagers surveyed like comedies,

(a) Calculate the number of teenagers who like comedy as shown below,

The number of teenagers who like comedy = 45 × 460 / 100

The number of teenagers who like comedy = 207

(b) Calculate the total number of teenagers as shown below,

The total number of teenagers × 50% = 40

The total number of teenagers = 40 × 100 / 40

The total number of teenagers = 100

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#SPJ2

The table shows the height of water in a pool as it is being filled. A table showing Height of Water in a Pool with two columns and six rows. The first column, Time in minutes, has the entries, 2, 4, 6, 8, 10. The second column, Height in inches, has the entries, 8, 12, 16, 20, 24. The slope of the line through the points is 2. Which statement describes how the slope relates to the height of the water in the pool? The height of the water increases 2 inches per minute. The height of the water decreases 2 inches per minute. The height of the water was 2 inches before any water was added. The height of the water will be 2 inches when the pool is filled

Answers

Answer:

The height of the water increases 2 inches per minute.

Step-by-step explanation:

Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Then find the area of the region y=4x^2, y=x^2 + 3

Answers

Answer:

Step-by-step explanation:

integrate with respect to x

Area is symmetric so will be twice the integral from zero to 1

( I cannot seem to figure out how to make the lower limit negative in this editor)

[tex]A = 2\int\limits^1_0 {(x^2 + 3) - 4x^2} \, dx[/tex])

[tex]A = 2\int\limits^1_0 {-3x^2 + 3} \, dx[/tex]

[tex]A = 6\int\limits^1_0 {-x^2 + 1} \, dx[/tex]

A = 6(-⅓x³ + x)[tex]\left \| {{x=1} \atop {x=0}} \right.[/tex]

A = 6((-⅓(1)³ + (1)) - (-⅓(0)³ + (0)))

A = 6(⅔)

A = 4 units²

Principal = $ 15000, rate = 10% p.a. and time
21/5 years
PLS HELP ASAP

Answers

Answer:

Simple Interest: A=P(1+rt)

A=15000(1+(0.1*4.2))

A=$21,300

Compound Interest:A=P(1+r/n)^nt

A=15000(1+0.1/4.2)^1*4.2

A=$64,500

Step-by-step explanation:

Triangle in space with vertices P= (1, 0, 0), Q = (0,1,0), R=(0, 0, 2), find angle at P P=​

Answers

Answer:

  71.6°

Step-by-step explanation:

The angle can be found from the dot product of PQ and PR.

  PQ·PR = |PQ|×|PR|×cos(α)

where α is the angle between the two segments.

  cos(α) = (Q -P)·(R -P)/(|Q -P|×|R -P|)

  = ((0, 1, 0) -(1, 0, 0))·((0, 0, 2) -(1, 0, 0))/(|Q -P|×|R -P|)

  = (-1, 1, 0)·(-1, 0, 2)/(√(((-1)² +1²)((-1²) +2²)) = (1+0+0)/√10

  α = arccos(1/√10) ≈ 71.6°

The angle at P is about 71.6°.

_____

Additional comment

The side lengths of the triangle are √2, √5, √5. As we have seen, the angle at P is bounded by the sides of length √2 and √5. The law of cosines can also be used to arrive at the angle between these sides.

can anyone slove this​

Answers

Δ PQR has: PM is a median

so: MR = QM = 3 cm

ANSWER: MR = 3 cm

Ok done. Thank to me :>

write an equivalent expression for 3(2z+4)

Answers

The answer is : 6z+12

Answer:

6z+12

Step-by-step explanation:

you distribute it

(x+1)/(x+2)=3/4
Solve the equation​

Answers

4(x+1)=3(x+2)

4x+4=3x+6

4x-3x=6-4

X=6-4

Answer is X=2

Margit works in a factory. She receives a salary of $12 per hour and piecework pay of 12 cents per unit produced. Last week she worked 38 hours and produced 755 units. What was her piecework pay?

Answers

Based on the way the piecework pay is calculated, Margit's piecework pay will be $90.60

The piecework pay is 12 cents for every unit that is produced.

Margit was able to produce 755 units in that week so her piecework pay will be:

= Number of units produced x Pay per unit

= 755 x 0.12

= $90.60

In conclusion, Margit should get a piecework pay of $90.60

Find out more on piecework pay at https://brainly.com/question/4692318.

Ashleigh bought 5 chocolate eggs for $1.00 EACH and a
basket for $1.79. How much did she spend?

Answers

Answer:

The answer is 6.79 dollars

Step-by-step explanation:

The answer is 6.79 dollars because 5 times 1 (she bought 5 eggs for 1 dollar each) + the added basket 1.79 equals $6.79

A tire company paid $4,992 for 64 tires. Which is the most reasonable estimate for the cost of each tire?

Answers

$78 for each tire
4,992 divided by 64 is 78

a simplifie 6 × ( - 24 ) ÷ ( -4 )​

Answers

[tex]\huge\textbf{Hey there!}[/tex]

[tex]\huge\boxed{\mathsf{6\times(-24)\div (-4)}}\\\huge\boxed{= \mathsf{\dfrac{6(-24)}{-4}}}\\\huge\boxed{\mathsf{= \dfrac{\bold{-144}}{-4}}}\\\huge\boxed{\mathsf{\dfrac{-144\div-4}{-4\div-4}}}\\\huge\boxed{= \mathsf{\dfrac{\bold{36}}{1}}}\\\huge\boxed{\mathsf{= 36\div1}}\\\huge\boxed{\mathsf{= 36}}\\\\\\\huge\text{\bf Therefore, your answer is: \boxed{\mathsf{36}}}\huge\checkmark[/tex]

[tex]\huge\text{\bf Good luck on your assignment and enjoy}\\\huge\text{\bf your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

given f(x)=-3x^2-7x ,find f(7)

Answers

Answer:

f(7) = -196

Step-by-step explanation:

f(7) = -3(7)² - 7(7)

-147 - 49

-196

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