Plan A: Pay a $10.00 initiation fee per family, then pay a
discounted price of $1.75 per person to visit the
museum.
Plan B: Pay $2.75 per person per visit to the museum.
For each of the problems below, write an equation to
represent the situation and use the equation to solve the problem.


1. Jayden and his brother choose Plan A. During the summer, they spend a total of $38. How many times did the boys visit the museum?


2. Maria and her sister also like to visit the museum. They choose Plan B and spend a total
of $38.50. How many times did the girls visit the museum?

Answers

Answer 1

Step-by-step explanation:

y = the cost of all visits to the meuseum

x = the number of visits

Plan A calls for $1.75 per per, per visit. There are two people so each visit for will cost $3.50 for both. This is the Slope of your line. This plan also requires an initial cost of $10 for 0 visits, this is your y intercept, or b in the point Slope form.

Put all that together for y = 3.5x + 10

The 1st question requires finding the number of visits possible for $38.00, this is the y value at x visits.

Solve

38.00 = 3.5x + 10. Subtract 10 from both sides

28.00 = 3.5x. divide both sides by 3.5

x = 8 visits for each Hayden and his brother.

Plan B is just paying $2.75 per person, per visit. For both Maria and her sister the cost would be $5.50 per visit. This is the Slope.

There is no initial cost so the equation is

y = 5.50x

How many times can they go for $38.50

$38.50 = 5.50x solve for x

x = 7 visits for Maria and her sister. They should have gone with plan A. They would have been able to go to the museum one more time and each saved a quarter.


Related Questions

In January Carter could lift 25 lbs. In February he could lift 45 lbs. What is the percent of change in the number of pounds he can lift?

Answers

Answer:

80%

Step-by-step explanation:

the answer is 80% ?!

Given c= -15 and d
-22, what is c - d?

Answers

Hey there![tex]\bold{c=-15}}\\\bold{d=-22}}\\\bold{-15-(-22)}\\\bold{= -15+(-22)}\\\bold{=7}\\\boxed{\boxed{\bold{Answer:\underline{7}}}}\huge\checkmark[/tex]Good luck on your assignment and enjoy your day! ~[tex]\frak{LoveYourselfFirst:)}[/tex]

What was the first public statement in support of the creation of a Jewish state?
A) The Treaty of Versailles in 1919.
B) The Conference of Berlin in 1884-85.
C) The Potsdam Declaration issued in 1945.
D) The issuance of the Balfour Declaration in 1917.

Answers

the answer is D the Balfour Declaration

In a Sequence the first term is 8 and the common difference is -5 the fifth term in the sequence is

Answers

Answer:

[tex]a_5=-12[/tex]

Step-by-step explanation:

Given that,

The first term of the sequence, a = 8

Common difference, d = -5

We need to find the fifth term of the sequence.

The nth term of the sequence is given by :

[tex]a_n=a+(n-1)d[/tex]

Put n = 5, a = 8 and d = -5 in the above formula

[tex]a_5=8+(5-1)(-5)\\\\=8+4(-5)\\\\=8-20\\\\=-12[/tex]

So, the fifth term of the sequence is -12.

In ABC, what is the value of x?

Pls hurry im on a time limit here

Answers

Answer:

70

Step-by-step explanation:

By exterior angle theorem:

[tex](2x + 12) \degree = 112 \degree + 180 \degree - 2x \degree \\ \\ (2x + 12) \degree = 292 \degree - 2x \degree \\ \\ (2x + 12) \degree + 2x \degree = 292 \degree \\ \\ (2x + 12 + 2x) \degree = 292 \degree \\ \\ (4x + 12) \degree = 292 \degree \\ \\ 4x + 12 = 292 \\ \\ 4x = 292 - 12 \\ \\ 4x = 280 \\ \\ x = \frac{280}{4} \\ \\ x = 70[/tex]

please help am trying to turn this work in​

Answers

Answer:

Angle 3 will be 30 degrees

Step-by-step explanation:

vertical

Answer:

30 degrees

Step-by-step explanation:

Intersecting lines form vertical angles and vertical angles are congruent

What is 8/5 divided by 7/8

Answers

Answer:

64/35

Step-by-step explanation:

8/5 ÷ 7/8

~Copy Dot Flip

8/5 * 8/7

~Multiply

64/35

Best of Luck!

Answer:

1 29/35

Step-by-step explanation:

8/5×8/7=64/35

     

    </3 PureBeauty

     

What percent is equivalent to 20?
O 5%
O 6%
O 20%
O 25%

Answers

I think its 5 because 5 times 20 is 100

Answer:

5%. creo que es la respuesta más correcta.

20 points to answer a estimate question

Answers

Answer:

The total cost =  $714

Step-by-step explanation:

Given

Monitor cost = $287Scanner cost = $58Keyboard cost = $49Printer cost = $320

The total cost can be determined by adding the costs of all the pieces of equipment.

Thus,

Total cost = Monitor cost + Scanner cost + Keyboard cost + Printer cost

                = $287 + $58 + $49 + $320

                = $714

Therefore, the total cost =  $714

Find the future value if £1500 is invested for 5 years at 8.7% p.a.

Answers

Answer:

$2,152.50

Step-by-step explanation:

A = $2,152.50

I = A - P = $652.50

Equation:

A = P(1 + rt)

Calculation:

First, converting R percent to r a decimal

r = R/100 = 8.7%/100 = 0.087 per year.

Solving our equation:

A = 1500(1 + (0.087 × 5)) = 2152.5

A = $2,152.50

The total amount accrued, principal plus interest, from simple interest on a principal of $1,500.00 at a rate of 8.7% per year for 5 years is $2,152.50.

Answer:

£2276.35

Step-by-step explanation:

1500 X (100+8.7/100)^5

180-90-(3x+x). Find x

Answers

Answer: 90-4x

Step-by-step explanation:

You can only simplify this equation

Answer:

90-4x

Step-by-step explanation:

180-90-(3x+x)

90 -(4x)

90-4x

Greta went to the salon and had 1/10 of an inch of hair cut off. The next day she went back and asked for another 1/2 of an inch to be cut off. How much hair did she have cut off in all? Write your answer as a fraction or as a whole or mixed number.

Answers

Answer:

3/5 of an inch

Step-by-step explanation:

Day 1:

Length cut off = 1/10 of an inch

Day 2:

Length cut off = 1/2 of an inch

How much hair did she have cut off in all?

Total hair cut off = Day 1 + Day 2

= (1/10 + 1/2) of an inch

= (1+5)/10

= 6/10

= 3/5 of an inch

She has to cut off 3/5 of an inch of hair in all

Two of the angles in a triangle measure 51° and 25°. What must be the measure of the third angle?

Answers

Answer:

104°

Step-by-step explanation:

Angles in a triangle add up to 180.

so 180-51-25=104

Hope this helps!:)

Answer: 104°

Step-by-step explanation:

In a triangle, the total or the interior angles will always be 180°

51° + 25° = 76°

180° - 76° = 104°

Therefore, the answer is 104°

I hope this helps!

Amanda had 4 pages of math makeup work and 6 pages of reading homework to makeup. If each page for math and reading had 4 questions on it, how many questions did she have to complete in all

Answers

Answer: 40 questions

Step-by-step explanation:

There were 4 pages for math so she had:

= 4 * 4

= 16 math questions

There were 6 pages of reading so she had:

= 6 * 4

= 24 reading questions

In total she had:

= 16 + 24

= 40 questions

In January of 2003, Jaylen deposited $1,450 into an investment account earning 5% interest, compounded semiannually. If there are no other deposits or withdrawals from the account, find the total interest earned by the end of December in 2017.

Answers

1450*1.05^30=$6266.816444
= my final answer is

=$6266.82

The amount generated at the end of December 2017 is [tex]\$ 3.04\times 10^{19}[/tex].

Compound Interest

The interest generated in a certain time interval on a particular sum is compounded with the principal sum to generate the interest for given time intervals is called the compound interest. The formula for the compound interest is given below.

[tex]A = p(1+\dfrac{r}{n})^{nt}[/tex]

Where A is the final amount, P is the initial principal sum, r is the interest rate, n is the number of times interest applied per time period and t is the number of time periods.

Given that the principal sum is $1,450, the interest rate is 5%, the time period is 15 years, the number of times interest applied per time period is 2(semiannually = twice in a year).

Hence the amount generated at the end of Dec 2017 is,

[tex]A = 1450 \times (1 + \dfrac {5}{2})^{2\times 15}[/tex]

[tex]A = 1450 \times 2.09\times 10^{16}\\ [/tex]

[tex]A = 3.04\times 10^{19}[/tex]

Hence we can conclude that the amount generated at the end of December 2017 is [tex]\$ 3.04\times 10^{19}[/tex].

To know more about the compound interest, follow the link given below.

https://brainly.com/question/25857212.

Find the missing side length of this right triangle

Answers

Answer:

131

Step-by-step explanation:

All triangle sides must add up to 180.

Answer:

41

Step-by-step explanation:

[tex]a^{2} +b^{2} =c^{2}[/tex]

[tex]40^{2} +9^{2} =c^{2}[/tex]

[tex]1600+81=c^{2}[/tex]

[tex]1681=c^{2}[/tex]

[tex]\sqrt{1681} = \sqrt{c^2}[/tex]

41=c

c=41

The right triangle on the right is a scaled copy of the right triangle on the left. Identify
the scale factor. Express your answer as a whole number or fraction in simplest form.

Answers

Answer:

Option 1 I took the test

Step-by-step explanation:

on

solve for t. 3t - 2= 11

Answers

Answer:

4.33 recurring

Step-by-step explanation:

do the inverse

11+2=13

13/3=4.33333

t=4.33333

please mark as brainliest<3

what is the smallest number of integer kilogram weights needed to weigh every whole kilogram between 1kg and 40kg?​

Answers

9514 1404 393

Answer:

  4

Step-by-step explanation:

We assume you are using a balance, and that weights can be put in either pan. In that case, weight values can be either added or subtracted, so there are 3 possibilities for the contribution each weight makes. In other words, we need to find how many digits are required to count to 40 in base 3.

The largest 3-digit number in base 3 is ...

  3^2 +3^1 + 3^0 = 13 (base 10)

The largest 4-digit number adds 3^3 = 27 to this: 27 +13 = 40.

Hence, we can weigh values 0 to 40 using 4 weights, of sizes 1, 3, 9, 27.

__

Some example weights are ...

  5 = 9 - 3 - 1

  38 = 27 + 9 + 3 - 1

where the "negative" weights are placed in the same pan as the unknown.

Jack has $150 in his savings
account and adds $10 a
day. Suzy has $50 in her
account and adds $15 a
day. In how many days
will they have the same
amount

Answers

Answer:

26 days

Step-by-step explanation:

180+10X=50+15X

X= 26 days

440

What is the slope of a line of best fit that has the points (20, 12) and (30, 6) on it?

Answers

Answer:

-6/10

I don't know if this is right so, sorry if its wrong.

A sphere Is properly defined as a ball.
true or false​

Answers

Answer:

A sphere has the same shape as a ball so yes.

Find the length of leg a in a right triangle with leg b= 4 and hypotenuse C =5


Answers

Answer:

Leg A = 3

Step-by-step explanation:

You use the equation A squared plus B squared equals C squared. Then, you substitute the value that you have, so the equation would be a squared plus 3 squared equals 5 squared. Next, you square the two values to make the equation a squared plus 16 equals 25. After that, you subtract one of the values (which in case is 16) on both that leg value and the hypotenuse, so you are left with A squared equals 9. Finally, you square both 9 and A squared and you are left with A = 3. I hope that helps you understand it clearly!

Solve 4+g≥3 or 6g≥−30. HURRY PLEASE

Answers

Answer: g>_-5

Step-by-step explanation:

The inequality g ≥ -5 represents the solutions to the compound inequality.

What is linear inequality? What is the law of Reversal and law of Trichotomy? What is a mathematical equation and expression?Linear inequalities are defined as expressions in which two linear expressions are compared using the inequality symbols.y > mx + cy < mx + cy ≥ mx + cy ≤ mx + cReversal property : If (a > b) then (b < a) and  if (a < b) then (b > a).Law of Trichotomy : The "Law of Trichotomy" says that - only one of the following is true : (a < b) or (a = b) or (a > b).A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions.

We have the following inequality -

4 + g ≥ 3

6g ≥ - 30

We can write -

4 + g ≥ 3

g ≥ -1

and

6g ≥ - 30

g ≥ - 5

Therefore, the inequality g ≥ -5 represents the solutions to the compound inequality.

To solve more questions on Equations, Equation Modelling and Expressions visit the link below -

brainly.com/question/14441381

#SPJ2

1/4 of the 5th graders are on the school drill team. 2/3 of the 5th graders drill team members are boys. What fraction of the 5th graders are boys on the drill team?​

Answers

1/6 of the 5th grade boys are on the drill team because you find this by multiplying 1/4 and 2/3 and simplifying

Latisha wants to buy pumpkins and autumn squash for a fall display. She has a budget of no more than $117 but wants to buy more than 10 vegetables for the decorations. The pumpkins are $5.50 each and the autumn squash are $3.50 each.

If Latisha decides she is going to use 12 pumpkins for the display, what is the maximum number of squash she can use?

Group of answer choices

5

10

14

12

Answers

Answer:

14

Step-by-step explanation:

5.50 times 12 is 66. 117 minus 66 is 51. so 14. 3.50 times 14 is 49.

The correct answer should be 14

Classify the following triangle. Check all that apply.
O A. Equilateral
O B. Right
D C. Acute
OD. Obtuse
O E. Isosceles
DF. Scalene

Answers

Answer:

A and C

Step-by-step explanation:

answer:a,c is the answer

help me out as soon as possible. lmk if you can’t see the photo

Answers

Answer:

a.

Step-by-step explanation:

Answer:

SO SHE MADE IT X okay teacher i got u- soooo that x8 because the x stands for 9 inside my math script. and if you make 100 and - 99  ur answer would be 1k

Step-by-step explanation:

Find the slope of the line that passes through
(4,6) and (6,4) *
-4
1/4
3
-1

Answers

Answer:

m= -1

Step-by-step explanation:

You solve slope by using y2-y1/ x2-x1 so,

4-6/6-4

=-2/2

= -1

Help

Solve by completing the square.

x2 + 14x – 51 = 0

Answers

Answer:

x=3, x= -17

Step-by-step explanation:

X2+14-51=0



That’s the answer

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