A family of 3 goes to a fair. Tickets cost $5 each, but
each person has a coupon. They pay $7 altogether.
How much money does each person save on buying
their ticket?

5x - 7 = 3

7 = 3(5 + x)

3x + 5 = -7

x + 7 = 3 x 5

Answers

Answer 1

Answer: $105

Step-by-step explanation:

Answer 2

Answer:

$2.66

Step-by-step explanation:

Step 1: Multiply the $5 to the family of 3

[tex]5 \times 3 = 15[/tex]

That's what they would have paid if they did not have a coupon. Now they have a coupon and only pay $7.

Step 2: Subtract what they paid from the result

[tex]15 - 7 = 8[/tex]

Now we have found how much they save altogether. To find how much they saved each;

Step 3: Divide the result found in step 2 by the family of 3

[tex]8 \div 3 = 2.66666\dots[/tex]

Each person saves approximately $2.66


Related Questions

What is the volume of a triangular prism that has a height of 5 feet and a base that with the following ?

Answers

Answer:

C

Step-by-step explanation:

Base area = (base x height of the base)/2 = (13 x 6)/2 = 39 ft^2

V = base area x height = 39 x 5 = 195 ft^3

answer for brainliest no wrong answers please :)

Answers

9514 1404 393

Answer:

  4%

Step-by-step explanation:

The amount of simple interest is given by ...

  I = Prt . . . . . amount P invested at annual rate r for t years

This can be solved for r:

  r = I/(Pt)

Using the given values, we find the rate to be ...

  r = 16/(200·2) = 16/400 = 4/100 = 4%

The annual interest rate is 4%.

Audrey mowed 12 lawns in 9 hours. What was her rate of mowing in hours per lawn?

Answers

On solving the provided question, we got to know that - arbitrary number So the money she earns is equal to 10 times w plus 15, which can be expressed as: 10w + 15

what is arbitrary number?

A number is considered arbitrary if its only unique characteristic is that it has a high value. You can think of them informally as the numbers that your opponent picked. Any number appears to be worthless intuitively.

Since the question allows us to use any number, we decide to make the money she makes from washing the car equal $10. We'll also assume that she gets paid $15 to wax the car.

So the money she earns is equal to 10 times w plus 15, which can be expressed as:

10w + 15

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is 0.2/2.6 0.3/3.6 proportional or not proportional

Answers

Answer:

not proportional

Step-by-step explanation:

0.2/2.6 is 1:13

0.3/3.6 is 1:12

Please help, I will mark you brainiest, thank you!!

Answers

Answer:

x = 20

Step-by-step explanation:

The small square at the vertex indicates a 90º angle

Therefor

x + (3x + 10) = 90

Combine like terms

4x + 10 = 90

Subtract 10 from both sides

4x = 80

Divide both sides by 4

x = 20

help if u lnow truangles stuff

Answers

49 degrees is the answer to this question
55°

76°+ 49°= 125°
180° - 125° = 55°

What is the pattern for 0, 1, 3, 7, 15, 31, 63

Answers

Answer:

every second number is got by multiplying it by two times of the number & adding it to previous number. For eg: the difference between 1 & 3 is 2. So the next number 7 is got by multiplying the diff with 2 & adding it to previous number, which is 3+2*2=7

Step-by-step explanation:

HOPE THIS HELPS!! PLEASE BRAINIESTTT

Answer:

All the numbers in the sequence was ×2 +1

multiplied by 2 and 1 was added.

Hope that helps

Find the surface area of the prism
copy and paste this link into your browser
https://imgur.com/a/fWHYwss

Answers

Answer:

surface area of a right prism is T.S.A.=ph+2B

Step-by-step explanation:

hope that helps :)

I’ll give points + brainalist for the correct answer (:

List 3 examples of chemical digestion
________
________
________

List 3 examples of mechanical digestion
________
________
________

Answers

Answer:

3 examples of mechanical digestion:

Mastication

Swallowing

Peristalsis

Digestion is defined as the process of absorbing food or ideas. An example of digestion is a person's body turning carbohydrates into energy. An

example of digestion is a stomach

Examples of physical digestion, also known as mechanical digestion, are the act of chewing, as well as peristalsis in the stomach.

A new route for bicycling to work decreased Herschel's riding time by 14%. If the old route took 32 minutes, how long will the new route take?​ Round your answer to the nearest minute.

Answers

Answer:

4.48

Step-by-step explanation:

Herschel took 27.52 minutes in riding cycle in new route.

What is percentage?

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Given that, a new route for bicycling to work decreased Herschel's riding time by 14%.

The old route took 32 minutes

Time taken by new route = 32-14% of 32

= 32-14/100 ×32

= 32-0.14×32

= 32-4.48

= 27.52 minutes

Therefore, it takes 27.52 minutes in the new route.

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Solve for the roots in the following equation. Hint: Factor both quadratic expressions.
(4+5x²-36)(2x²+9x-5) = 0

Answers

Using the provided quadratic expression and factorizing it, The answer is  x = ± √6.4 or x = ± 2.51 and  x = 1 or x = -2.5 .

What is a equation?

An equation is a statement of equality between two expressions. It typically includes numbers and mathematical operations such as addition, subtraction, multiplication, and division. For example, the equation 2x + 3 = 7 is a statement that the value of the expression 2x + 3 is equal to the value of 7. Equations can also include variables, which represent unknown values that can be solved for.

What are roots of the equation?

Roots of an equation are the values of the variable that make the equation true. For example, the roots of the equation x^2 + 2x - 3 = 0 are -1 and 3, because (-1)^2 + 2(-1) - 3 = 0 and 3^2 + 2(3) - 3 = 0. In general, finding the roots of an equation can be a difficult task and may require the use of mathematical techniques such as factoring, graphing, or numerical methods. Roots are also known as solutions or zeroes of an equation. They can be found by setting the equation equal to zero and solving for the variable.

(4+5x²-36) = 0 or (2x²+9x-5) = 0

Solving the first factor:

4+5x²-36 = 0

5x²-32 = 0

5x² = 32

x² = 6.4

x = ± √6.4

x = ± 2.51 or -2.51

Solving the second factor:

2x²+9x-5 = 0

x²+4.5x-2.5 = 0

(x-1)(x+2.5) = 0

x = 1 or x = -2.5

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Which of the following is a
representation of 11!

Answers

Answer: B.

Step-by-step explanation:

Find the area of the figure

Answers

Answer: ok so 3 times 3 twice then divide them by 2 and then 12 times 3 twice and then 3 times 6 im pretty sure and then you add them together

Step-by-step explanation:


There are 100 marbles in a jar
There are 9 times as many red marbles
as there are blue marbles. How many
blue marbles are in the jar?

Answers

Answer:

Step-by-step explanation:

take 9 divided by 5 wich = 1.8

For problems 1-3, use the information in the diagram to find the angle measure of in radians. Round your answer to the nearest ten-thousandth, if necessary.

Answers

Answer:

4.25 radians2.4 radians0.625 radians

Step-by-step explanation:

You want the angles associated with different arc lengths and radii.

Angle

The length of an arc is given by the formula ...

  s = rθ . . . . . θ is the angle in radians, r is the radius

Solving for θ gives ...

  θ = s/r

1.

For s=17 in, r=4 in, ...

  θ = (17 in)/(4 in) = 4.25 . . . . radians

2.

For s=12 ft, r=5 ft, ...

  θ = (12 ft)/(5 ft) = 2.4 . . . . radians

3.

For s=8.5 mm, r = 13.6 mm, ...

  θ = (8.5 mm)/(13.6 mm) = 0.625 . . . . radians

I need the answer fast pls⇒

Answers

Answer:

530

Step-by-step explanation:

870-340 = 530

___________

Number 4 number 4 number 4 number 4

Answers

Answer:

D

Step-by-step explanation:

We know that the value of x is 120, so we can substitute it into the equation they gave you.

T(x) = 0.06x + 4.5

T(x) = 0.06(120) + 4.5

Now just solve.

0.06 × 120 = 7.2

7.2 + 4.5 = 11.7

So the tax on the room is $11.70

An article presents benzene conversions (in mole percent) for 24 different benzene hydroxylation reactions. The results are 52.3 41.1 28.8 67.8 78.6 72.3 9 19.0 30.3 41.0 63.0 80.8 26.8 37.3 38.1 33.6 14.3 30.1 33.4 36.2 34.6 40.0 81.2 59.4 Can you conclude that the mean conversion is greater than 30? Compute the appropriate test statistic and find the P-value. The appropriate test statistic and the P-value are and , respectively. Round the test statistic to two decimal places and the P-value to four decimal places. We (Click to select) conclude that the mean conversion is greater than 30.]

Answers

Answer:

Test statistic = 3.21;

Pvalue = 0.0019;

Reject H0 and conclude that the mean conversion rate is greater than 30.

Step-by-step explanation:

Hypothesis :

NULL ; H0 : μ = 30

ALTERNATIVE ; H0 : μ > 30

Sample, x : 52.3 41.1 28.8 67.8 78.6 72.3 9 19.0 30.3 41.0 63.0 80.8 26.8 37.3 38.1 33.6 14.3 30.1 33.4 36.2 34.6 40.0 81.2 59.4

Sample Mean, xbar = 43.71 (using calculator)

Sample standard deviation, s = 20.95 ( calculator)

Sample size, n = 24

Take, α = 0.05

Test statistic :

(xbar - μ) ÷ (s/√n)

(43.71 - 30) ÷ (20.95/√24)

13.71 / 4.2764008

Test statistic = 3.21

Degree of freedom, df = n - 1 = 24 - 1 = 23

The Pvalue, using a Pvalue calculator : (3.21, 23)

Pvalue = 0.001942

Pvalue = 0.0019 ( 4 decimal places).

Decison :

Reject H0 ; if Pvalue ≤ α

Since Pvalue is very low and lesser than α ` We reject H0 and conclude that the mean conversion rate is greater than 30.

Terryl invests $1500 in two mutual funds. In the first year, one fund grows 3.8% and the other grows 6%. Write a polynomial to represent the value of Terryl’s investment after the first year if he invested x dollars in the fund with the lesser growth rate.

Answers

The polynomial that represents the value of Terryl’s investment after the first year if he invested x dollars in the fund with the lesser growth rate is;

p(x) = x(1 + 6/100)

g(x) = (1500 - x)(1 + 3.8/100)

How to find the compound interest?

The compound interest is defined as a form of interest whereby the rate of interest is applied on the amount obtained after every given interval of time.

We are given that;

The total amount invested in the two mutual funds = $1500.

The growth rate of the first mutual fund = 6%.

The growth rate of the second mutual fund = 3.8%.

If the amount invested in the first mutual fund is x, then the amount invested in second mutual fund is 1500 - x.

The growth for both mutual funds can then be represented by;

First mutual fund; p(x) = x(1 + 6/100)

The second mutual fund; g(x) = (1500 - x)(1 + 3.8/100)

Thus, the polynomial expression for both the mutual funds are;

p(x) = x(1 + 6/100) and g(x) = (1500 - x)(1 + 3.8/100) respectively.

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Find all solutions of sin x - sqrt(1 - 3sin^2 x) = 0

Answers

sinx-✓(1-3sin2x)=0

-✓(1-3sin2x)=-sinx

apply squared both sides

(-✓(1-3sin2x)^2=(-sinx)^2

1-3sin2x=sin2x

collect like terms

-3sin2x-sin2x+1=0

-4sin2x+1=0

-4sin2x=-1

devide both sides by -4

sin2x=-1/-4

sin2x=0.25

sinx*sinx =0.25

[sinx]^2 = 0.25

apply square root both sides

✓(sinx)2 = ✓0.25

sinx=0.5 x=sin^-(0.5)

x=30°

check quadrant where sin is positive, sin is +ve in second quandrant

180-x= Theta(X)

180-30=X

X=150°

therefore, all angles for sinx -✓(1-3sin2x)=0 are (X= 30° and 150°)

For what value of a does (1/7)^3a+3=343^a-1

Answers

Answer:
The answer would be 0

Explanation:
(1/7) ^ 3a + 3 = 343 ^ a - 1
7 ^ -3a - 3 = 7 ^ 3a - 3
-3a - 3 = 3a - 3
-3a = 3a
-3a - 3a = 0
-6a = 0
a = 0

So the answer would be 0, the second option.

Answer:

the answer is 0

Step-by-step explanation:

edge 2022

What kind of polynomial is 2xy2-6?

Select one:
of
a. Binomial
b. Trinomial
c. Monomial
d. Multinomial

Answers

▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬

2xy² - 6 is a binomial because it consist of two terms .

option a. Binomial is correct!

▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬

Option a

Step-by-step explanation:

It has two terms or solutionsAs the highest exponential term is 2(y^2)So it's a binominal

[tex]\sf Note\:down\begin{cases}\sf Binominal\leadsto 2terms \\ \sf Trinomial\leadsto 3terms \\ \sf Monomial\leadsto 1term \\ \sf Multinomial \leadsto 4\:or\: 4^+terms\end{cases}[/tex]

Which expression is equivalent to fraction 4/9 x 7

answers: 7 x 9 divided by 4; 9 divided by 4 x 7; 4 divded by 7 x 9; 4 x 7 divided by 9.

Answers

Answer:

Calculator 8tfifficxfotidtxiixfdixfiifxifx fixir

please help will give brainliest. Links will be banned

Answers

Answer:

I believe it is C.

normal simple question and pls follow​

Answers

Answer:

850

Step-by-step explanation:

Answer:

850

Step-by-step explanation:

34*100=3400

3400/4=850

Would be amazing if you marked this as brainliest

Suppose that you take a random sample of 259 people leaving a grocery store over the course of a day and find that 12% of these people were overcharged. Find a 95% confidence interval for the actual percentage of shoppers who were overcharged.
a. 5.7% to 18.3%
b. 8.85 to 15.15%
c. 7% to 17%
d. 9.5% to 14.5%

Answers

Answer:

8.04% to 15.96%

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].

Suppose that you take a random sample of 259 people leaving a grocery store over the course of a day and find that 12% of these people were overcharged.

This means that [tex]n = 259, \pi = 0.12[/tex]

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.12 - 1.96\sqrt{\frac{0.12*0.88}{259}} = 0.0804[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.12 + 1.96\sqrt{\frac{0.12*0.88}{259}} = 0.1596[/tex]

So 8.04% to 15.96%

Alicia is solving the equation shown.

− 2( x + 1) + 10 = 4 − 2x

She wrote this as her first step.

x + 1 − 5 = − 2 + x

Which property justifies this first step?

A. additive identity property
B. addition property of equality
C. multiplicative property of zero
D. multiplication property of equality

Answers

Answer:

D.

Step-by-step explanation:

-2 is divided on both sides of the equation, which is the multiplication property of equality. you aren't adding anything/ multiplying anything by 0

Finding a Mistake in a Subtraction Problem
Jordan wants to solve the problem: 453-254 = ?
He begins by making an estimate.
450-250 = 200
Estimate:.
Then he uses expand-and-trade subtraction to find an exact answer, but his answer is not
close to his estimate. This is his work.

"Oops," says Jordan, "I didn't cross out 400 and write 300."
Explain why not changing 400 to 30 is a mistake.
Hint: Use what you know about place value in your answer.)

Answers

Using the expand and trade subtraction the mistake Jordan made was not crossing 400 to 300

1 is carried form 4 to 5 then to 3 to get 13

How to do the subtraction in a correct way

The expanded form of subtraction makes is easier to conceptualize the subtraction, however it has some techniques that should be in mind in other to handle the techniques correctly

The numbers used in the subtraction is examined

453 and 254

the ones have it that 3 in "453" is less than 4 in "254" and hence will require 1 form 5.

When this happens, in the tens, 5 in "453" will turn to 4 and will be less than the 5 in "254" and will requires 1 from 4 in "453" in hundreds

At this point 4 in "453" is in hundreds and will turn to 300

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god please please someone help with this my last question and more coming im about to cry i need help youll have good luck and ill love u 4 evea PLEASEEE.....................................................................................................................................................................................................Three salesmen work for the same company, selling the same product. And, although they are all paid on a weekly basis, each salesman earns his paycheck differently. Salesman A works strictly on commission. He earns $65 per sale, with a maximum weekly commission of $1,300. Salesman B earns a weekly base salary of $300, plus a commission of $40 per sale. There are no limits on the amount of commission he can earn. Salesman C does not earn any commission. His weekly salary is $900.

The weekly paycheck amount for each salesman, p, is a function of the number of sales, s, they had in that week.

What is the slope of the function representing the weekly paycheck amount for Salesman A? Use complete sentences to explain your reasoning, or show your calculations.
What is the slope of the function representing the weekly paycheck amount for Salesman B? Use complete sentences to explain your reasoning, or show your calculations.
What is the slope of the function representing the weekly paycheck amount for Salesman C? Use complete sentences to explain your reasoning, or show your calculations.

Answers

Answer:12

Step-by-step explanation: i found the answer on another brainly account

ps: i hope you pass

Complete the matrix that represents a reflection over the x-axis in the coordinate plane.

[ 1 a
b c ]

Answers

Answer:

bc

Step-by-step explanation:

Answer bc

Step-by-step explanation:

took test

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