20. Helen and Carla live in states that have
different sales tax rates. They each bought
a new bicycle. Helen paid $14 for a 5.6%
sales tax on her bicycle. Carla paid $12 for
a 4.8% sales tax on her bicycle. Who paid
more for their bicycle, not including sales
tax?

Answers

Answer 1

Answer: Helen paid $250 for the bike

Carla paid $250 for the bike.

They both paid the same amount

Step-by-step explanation:

Answer 2

Final answer:

By calculating the pre-tax prices of the bicycles using the provided sales tax amounts and rates, we determine that both Helen and Carla's bicycles cost $250 before tax, meaning neither paid more for their bicycle excluding the sales tax.

Explanation:

To determine who paid more for their bicycle excluding the sales tax, we need to calculate the pre-tax price of each bicycle using the sales tax amounts given. This requires us to work backwards from the sales tax paid to the original cost of the item.

For Helen, we know that the sales tax was $14, and the rate was 5.6%. We find the pre-tax price by dividing the sales tax paid by the sales tax rate (converted into decimal form):

Pre-tax price for Helen = $14 / 0.056 = $250

For Carla, the sales tax was $12, and the rate was 4.8%. The pre-tax price calculation is similar:

Pre-tax price for Carla = $12 / 0.048 = $250

Since both pre-tax prices are equal, neither Helen nor Carla paid more for their bicycle when we do not include the sales tax.


Related Questions

Do the following angle measures make a triangle: 88°, 16°, 65°?

Answers

No

The angles you listed add up to 169° which does NOT make a triangle. Triangles have 180°.

what is the value of p
13²=p

Answers

169 because 13 x 13 = 168

Answer:

169

Step-by-step explanation:

13 to the 2nd power is 169

hope this helps!!

p.s. could you please help me with my recent question??

Simplify the expressions (with work please)
1. 4 - (-3)
2. 1/6 + 7/12
3. 0.24 - 1.6
4. 2 3/5 x (-4/3)
5. -24 divided by 3.2

Answers

Answer:

Read below. Answers are bolded for you.

Step-by-step explanation:

1. 4-(-3)=4+3=7  (a negative and a negative is a positive)

2. 1/6 + 7/12=[tex]\frac{2}{12} +\frac{7}{12} =\frac{9}{12} =\frac{3}{4}[/tex] or 3/4

3. 0.24 - 1.6= -1.36

4. 2 3/5 x (-4/3)= [tex]2 \frac{3}{5} * -\frac{4}{3} =\frac{13}{5} *-\frac{4}{3} =-\frac{52}{15} =-3\frac{7}{15}[/tex] or -3 7/15

5. -24÷3.2=-7.5

Answer:

1. 7

2. 0.75

3. -1.36

4. -52/15

5. -7.5

Step-by-step explanation:

1. 4 - ( -3 ) = 4 + 3 = 7

2.  0.166 + 0.583 = 0.749 (round to the nearest hundredth) 0.75

3. 0.24 - 1.6 = 0.24 + -1.6 = -1.36

4. 13/5 * (-4/3) (easiest to multiply as not mixed fractions) = -52.15

-24 / 3.2 (think about -24 / 3 = -7 and -24 / 0.2 = -0.5 (-7 + -0.5)) = -7.5

I hope this helps lots! ^^

What is the area of triangle PQR? Triangle P Q R has a base of 86 inches and a height of 52 inches. 1,118 square inches 2,236 square inches 2,322 square inches 3,870 square inches

Answers

Answer:

2,236 square inches

Step-by-step explanation:

A=86*52/2=2,236 square inches

The area of triangle PQR which has a base of 86 inches and a height of 52 inches is 2,236 square inches.

What is the area of a triangle?

The area of the triangle is the space occupied by it on the two-dimensional plane. The area of the triangle is half of the product of its base and height.

[tex]A=\dfrac{1}{2}bh[/tex]

Here, (b) is the base of the triangle and (h) is the height.

Triangle PQR has

A base of 86 inches A height of 52 inches.

Put these values in the above formula to find the area of the triangle PQR as,

[tex]A=\dfrac{1}{2}(86\times52)\\A=2236\rm\; in^2[/tex]

Hence, the area of triangle PQR which has a base of 86 inches and a height of 52 inches is 2,236 square inches.

Learn more about the triangle here;

https://brainly.com/question/17264112

Zoe walked 9 miles in 6 hours. what was her walking rate in miles per hour? put it in simplest form

Answers

Answer:

1.5

Step-by-step explanation:

It’s 1.5 you just divide the number of hours with the number of miles

quadratic formula 2x^2+7x-15=0

Answers

Answer:

Step-by-step explanation:

I hope this was what you were looking for. Have a nice day!

Answer:

x= 3 /2 , x=−5

(2x−3)(x+5)=0

Step 2: Set factors equal to 0.

2x−3=0 or x+5=0

The cable company is analyzing data from two satellite television providers to determine whether their users spend more time watching live television or shows that have been recorded. Satellite Company X : 89 live, 430 recorded Satellite Company Y : 65 live, 94 recorded What is the probability that a randomly selected customer from Company Y watches recorded shows more often than live television? Give your answer in percent form rounded to the nearest whole percent.

Answers

Answer:

59%

Step-by-step explanation:

The information from Satellite Company Y is:

65 people watch live and 94 people watch recorded.

The total number of people from Y is:

65 + 94 = 159

So the probability that a random person from Y watches recorded shows more often is given by the division of the number of people watching more recorded shows (94) over the total number of people (159):

Probability = 94 / 159 = 0.5912 = 59.12%

Rounding to nearest whole percent, we have 59%

Answer:

59%

Step-by-step explanation:

I got 100%

Avery earned $68 at her job when she worked for 8 hours. What was her hourly pay rate in dollars per hour? Express your answer in simplest form.

Answers

Answer:

$8.5

Step-by-step explanation:

divide 68.00 by 8

A bag contains four yellow marbles, six red marbles, five blue marbles, six white marbles, and four black marbles. What is the theoretical probability of pulling a white marble from the bag?

Answers

How about 65% is the answer

Answer is 6/25

because you have to add all the marbles wich will be:

four yellow marbles, six red marbles, five blue marbles, six white marbles, six white marbles

4 + 6 + 5 + 6 + 4 = 25

so there is 6 white marbles and a total of 25 marbles so it will be 6/25

have a nice day!

also can you please give me brainliest :)

A cylinder with radius 5 units is shown below. It’s volume is 157 cubic units.

Answers

Answer: 2 units

Step-by-step explanation:

Volume = π r² h

157 = π (5)² h

h = 157 ÷ 25π

h = 2 units.

April shoots an arrow upward at a speed of 80 feet per second from a platform 25 feet high. The pathway of the
arrow can be represented by the equation h = -16t2 + 80t + 25, where h is the height and t is the time in
seconds. What is the maximum height of the arrow?
90 feet
140 feet
125 feet
80 feet

Answers

Answer:

The maximum height of the arrow is 125 feet.

Step-by-step explanation:

The pathway of the arrow can be represented by the equation,

[tex]h = -16t^2 +80t + 25[/tex] .....(1)

Where h is height in in feet and t is time in seconds.

It is required to find the maximum height of the arrow. For maximum height, [tex]\dfrac{dh}{dt}=0[/tex].

So,

[tex]\dfrac{d(-16t^2 +80t + 25)}{dt}=0\\\\-32t+80=0\\\\t=\dfrac{80}{32}\\\\t=2.5\ s[/tex]

Put t = 2.5 s in equation (1). So,

[tex]h = -16(2.5)^2 +80(2.5) + 25\\\\h=125\ \text{feet}[/tex]

So, the maximum height of the arrow is 125 feet.

What is the surface area?

Answers

Answer:

416 square yards

Step-by-step explanation:

The formula for the surface area of the 2 bases is just b*h

12*8=96 yd²

Finding the lateral area:

(10*10)+(10*10)+(12*10)=

100+100+120=

320 yd²

Add the lateral surface area and the surface area of the 2 bases for the total surface area:

320+96=416 yd²

What is the median?

Answers

Answer:

-4.5

Step-by-step explanation:

Order this from least to greatest.

-8, -6, -5, -4, -3, -3

find the middle.

median = (-5 + -4)/2 = -9/2 = -4.5

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

[tex]\mathsf{\dfrac{-3 + -8 + -4 + -3 + -5 + -6}{6}}[/tex]

[tex]\mathsf{-3 + -8 + -4 + -3 + -5 + -6}[/tex]

[tex]\mathsf{= -3 - 8 - 4 - 3 - 5 - 6}[/tex]

[tex]\mathsf{-3 - 8 = \boxed{\large\textsf{\bf -11}}}[/tex]

[tex]\mathsf{ -11 - 4 - 3 - 5 - 6}[/tex]

[tex]\mathsf{-11 - 4 = \boxed{\large\textsf{\bf -15}}}[/tex]

[tex]\mathsf{-15 - 3 - 5 - 6}[/tex]

[tex]\mathsf{-15 - 3 =\boxed{\large\textsf{\bf -18}}}[/tex]

[tex]\mathsf{-18 - 5 - 6}[/tex]

[tex]\mathsf{-18 - 5 = \boxed{\large\textsf{\bf -23}}}[/tex]

[tex]\mathsf{-23 - 6}[/tex]

[tex]\mathsf{= \boxed{\large\textsf{\bf -29}}}[/tex]

[tex]\mathsf{= \dfrac{-29}{6}}[/tex]

[tex]\mathsf{= \boxed{-4.83333333333}}[/tex]

[tex]\boxec{\boxed{\large\textsf{Answer: \bf -4.83333333333 or }\mathsf{\bf \dfrac{-29}{6}\large\textsf{ both should work they both}}}}\\\boxed{\large\textsf{equal the same thing!}}\huge\checkmark[/tex]

[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]

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

The layers of a rectangular prism are shown below.

Answers

Answer:

18 Cubic cm

Step-by-step explanation:

Count all of the squares granted one cube = 1 cm^3, there are 18 cubes so it would be 18cm^3

Deanna gets 3 problems incorrect on her math quiz and scores 85%. How many questions were on the quiz?

Answers

Answer:

There were 20 questions on the quiz

Step-by-step explanation:

In this question, we are concerned with knowing the number of questions on a quiz, given that Deana had a certain percentage after scoring an amount of marks.

We proceed as follows;

Let the number of questions on the quiz be X.

Now, she got 85% by making 3 incorrect choices. This means the percentage of questions she got incorrectly would be 100-85 = 15%

what we are saying is that it is just 15% of her questions that were wrong.

This mathematically;

15% of x = 3

15/100 * x = 3

15x = 3 * 100

15x = 300

x = 300/15

x = 20

find the percentage of 25 cents of $2.00​

Answers

Answer:

[tex]12.5%[/tex]%

Step-by-step explanation:

[tex]\frac{25}{200}[/tex] is simplified to [tex]\frac{1}{8}[/tex], which in "perfect form," is [tex]12.5%[/tex]%

Answer:

12.5%

Step-by-step explanation:

$2 = 200c

200c ........ 100%

25c ................x%

x = 25×100/200

= 25/2

= 12.5%

what is the answer for this question y/15 = 8 plz help fast

Answers

the answer is y=120


First you simplify both sides of the equation then u isolate the variable.

Find the value of z.

Answers

Answer:

[tex]60 \: degrees[/tex]

Step-by-step explanation:

[tex]180(n - 2)[/tex]

you have to put the number of sides for n

[tex]180(n - 2) \\ 180(6 - 2) \\ 180 \times 4 \\ = 720[/tex]

720 is the sum of interior angles. so to find the value of an angle you have to divide 720 by the number of angles.

[tex] \frac{720}{6} = 120 \: \: degrees[/tex]

we know that,

interior angle + exterior angle = 180 degrees

[tex]120 + z = 180 \\ z = 180 - 120 \\ z = 60 \: \: degrees[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

how many ounces are in 3 pounds

Answers

Answer:

48

Step-by-step explanation:

16*3

16 oz in a pound

48 ounces
explanation :

Sunita creates a scale model of an aeroplane. The scale of the model is 5 cm to 13 m. Sunita's model has a wingspan of 24 cm. What is the wingspan of the real aeroplane?

Answers

To find the wingspan of the real aeroplane, we use the scale of 5 cm to 13 m and set up a proportion comparing the model's wingspan of 24 cm with the real wingspan, which results in a real wingspan of 62.4 m.

Sunita's scale model of an aeroplane has a wingspan of 24 cm, and the scale used is 5 cm to 13 m. To find the wingspan of the real aeroplane, we set up a proportion where 5 cm on the model represents 13 m in reality. The ratio would be:

Model scale: 5 cm

Real scale: 13 m = 1300 cm (since 1 m = 100 cm)

Now we find the corresponding real-life measurement for the 24 cm wingspan on the model:

(5 cm / 1300 cm) = (24 cm / Wingspan in cm)

To solve for the real wingspan, we cross-multiply and divide:

5 cm * Wingspan in cm = 1300 cm * 24 cm

Wingspan in cm = (1300 cm * 24 cm) / 5 cm

Wingspan in cm = 31,200 cm / 5 cm

Wingspan in cm = 6,240 cm

Converting back to meters (divide by 100 since 1 m = 100 cm):

Wingspan in m = 6,240 cm / 100 = 62.4 m

Leah wants to see a castle in an amusement park. She sites the top of the castle at an angle of elevation of 45°. If she knows the castle is $160 from her how tall is the castle prom at her level of vision?

Answers

Answer:

x=236 feet

Step-by-step explanation:

Can you guys create your own system of equations word problem, define the variable, write an equation, then solve it and make a sentence explanation on why you did what you chose

Thanks will give brainliest

Answers

Answer:

Using a system of equations, however, allows me to use two different variables for the two different unknowns.

number of adults: a

number of children: c

With these variables, I can create equations for the totals they've given me:

total number: a + c = 2200

total income: 4a + 1.5c = 5050

Now I can solve the system for the number of adults and the number of children. I will solve the first equation for one of the variables, and then substitute the result into the other equation:

a = 2200 – c

4(2200 – c) + 1.5c = 5050

8800 – 4c + 1.5c = 5050

8800 – 2.5c = 5050

–2.5c = –3750

c = 1500

Now I can back-solve for the value of the other variable:

a = 2200 – (1500) = 700

I have values for my two variables. I can look back at my definitions for the variables to interpret these values. To answer the original question, there were:

1500 children and 700 adults.

Final answer:

A word problem involving two people and their apples, where Alice has twice as many apples as Bob. The variables are defined, the equation is written, and the solution is found.

Explanation:

Word Problem:

Alice has twice as many apples as Bob. Together, they have 15 apples. Define the variable 'x' as the number of apples Bob has.

Equation:

Alice's apples: 2x

Bob's apples: x

2x + x = 15

Solution:

Combining like terms: 3x = 15

Dividing both sides by 3: x = 5

Sentence Explanation:

We defined the variable 'x' as the number of apples Bob has. Since Alice has twice as many apples, we expressed her number of apples as 2x. The total number of apples they have together is 15, so we created an equation by summing up both Alice's and Bob's apples. By solving for 'x', we found that Bob has 5 apples.

A poll is given, showing 45% are in favor of a new building project.



If 3 people are chosen at random, what is the probability that exactly 1 of them favor the new building project?

Answers

The probability of exactly 1 person favoring the new building project out of 3 people chosen at random is approximately 0.4083, or 40.83%.

Use the concept of probability defined as:

Probability is the ratio of the number of favorable outcomes to the total number of outcomes for the occurrence of an event.

Given that,

A poll was conducted on a new building project.

The results of the poll represent 45% of the respondents were in favor of the new building project.

To calculate the probability that exactly 1 person favoring the new building project out of 3 people chosen at random:

Use the binomial probability formula:

[tex]P(X=k) = (^nC_k) p^k (1-p)^{(n-k)}[/tex]

Where P(X=k) is the probability of getting exactly k favorable responses, and n is the total number of people chosen.

In this case, n = 2,

k is the number of favorable responses, in this case, 1,

p is the probability of an individual favoring the new building project in this case, 0.45,

And (1-p) is the probability of an individual not favoring the new building project in this case, 0.55.

Now substitute the values into the formula:

[tex]P(X=1) = (^3C_1) (0.45^1) (0.55^{(3-1)})[/tex]

Calculating the values:

[tex]^3C_1 = 3[/tex]

(which represents the number of ways to choose 1 favorable response out of 3 people),

[tex]0.55^{(3-1)} = 0.3025.[/tex]

Substituting these values back into the formula:

P(X=1) = (3)(0.45)(0.3025)

Calculating further:

P(X=1) = 0.4083

Hence,

The probability of exactly 1 person favoring the new building project out of 3 people chosen at random is approximately 0.4083, or 40.83%.

Learn more about the probability visit:

https://brainly.com/question/13604758

#SPJ12

Final answer:

The probability of exactly 1 out of 3 individuals favoring a new building project is 40.35%.

Explanation:

The probability of a person favoring a new building project is 45%.

To find the probability that exactly 1 out of 3 chosen individuals favor the project, we use the binomial probability formula:

Calculate the probability of 1 person favoring the project: 0.45 * 0.55 * 0.55 = 0.1345

Calculate the number of ways 1 person can be chosen out of 3: 3 choose 1 = 3

Multiply the two results: 3 * 0.1345 = 0.4035

Therefore, the probability that exactly 1 out of 3 individuals favor the new building project is 0.4035 or 40.35%.

Suppose a soup can has a diameter of 10cm and a height of 12cm what is the volume of the soup in the can

Answers

Answer: 942.48 [tex]Units ^{3}[/tex]

Step-by-step explanation:

First we find the area of the base (the circle) the formula for that is [tex]\pi r^{2}[/tex]

the radius is 5 because it is half the diameter.

so our base is 78.54

then we multiply that by the height

so 78.54 times 12 = 942.48

what is the perimeter of this tile 4in 1in

Answers

Answer:

10 inches

Step-by-step explanation:

Assuming a rectangular tile

P = 2(l+w) where l is the length and w is the width

P = 2(1+4)

   = 2(5)

   = 10 inches

Answer:

10 in

Step-by-step explanation:

Jerome solved the equation 1

3

x + 5

6

= 1 as shown.


1. Subtraction property

of equality: 1

3

x + 5

6

− 5

6

= 1

1

− 5

6

2. LCD: 1

3

x = 1

6

− 5

6

3. Multiply by the

reciprocal: ( 3

1

) 1

3

x = −4

6

( 3

1

)

4. Solve and simplify: x = −12

6

= −2

Analyze Jerome’s steps. In which step did he make an error?

In step 1, he needed to add StartFraction 5 Over 6 EndFraction to both sides of the equation.

In step 2, the LCD was not used correctly to make equivalent fractions.

In step 3, the correct reciprocal was not multiplied to both sides.

In step 4, the answer was not reduced correctly.

Answers

Answer:

B (second option)

Step-by-step  step 2, the LCD was not used correctly to make equivalent fractions.

Answer:

the answer is b

Step-by-step explanation:

got it right

Sally likes to collect coins.Sally got 37 coins from her brother 21 coins from her month era as well 22 coins from Benny however sally lost 32 coins before putting those coins into her piggy bank how many coins does sally have in her piggy bank

Answers

Answer: Sally has 48 in her piggy bank

Step-by-step explanation:

Hi, to answer this question, first, we have to add the coins given to Sally:

37 +21 +22 = 80

Since she lost 32 coins before putting those coins into her piggy bank, we have to subtract that number to the total number of coins collected.

80-32 = 48 coins

Sally has 48 in her piggy bank

Feel free to ask for more if needed or if you did not understand something.  

PLEASE HELP!!! exchange for my snpcht
A game show host offers to give you one penny on the first day, 2 pennies on the second day, 4 pennies the third day, and so on for the next 25 days.
Is this geometric or arithmetic?
How much money will you have at the end of the 25 days?

Answers

Answer:

it's geometric

Step-by-step explanation:

geometric equations change by a rate witch means you multiply to get to the next number in the sequence

arithmetic you add to get to the next number in the sequence

Answer:

Geometric

$335,544.31

Step-by-step explanation:

1, 2, 4, ..

This is Geometric progression with:

First term: 1

Common ratio: 4/2 = 2

S25 = 1(2²⁵-1)/(2-1) = 33,554,431

33,554,431 pennies or

33,554,431/100 = $335544.31

a line passes through the point (10, -2) and had a slope of -1/2. write an equation in point-slope form for this line.

Answers

y+2=-1/2(X-10)

y=1/2X -5-2

Y=1/2X -7

please help me find the distance between the point (2,5) and (5,9)​

Answers

Answer:

5 units

Step-by-step explanation:

Calculate the distance d using the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (2, 5) and (x₂, y₂ ) = (5, 9)

d = [tex]\sqrt{(5-2)^2+(9-5)^2}[/tex]

   = [tex]\sqrt{3^2+4^2}[/tex]

   = [tex]\sqrt{9+16}[/tex]

   = [tex]\sqrt{25}[/tex]

   = 5

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In the first paragraph, on page 1, what does thenarrator's use of the word "coveted say about hiswish for a car?It suggests the wishes of his family overshadow hisown.It suggests that his only wish is to purchase a car.It suggests his wish is excessively strong.It suggests his wish for a car is a common one. Alu element at the PV92 locus on Chromosome 16. In this population, 436 people have a heterozygous genotype and 102 people have a homozygous negative genotype (meaning that neither copy of the PV92 has an Alu element). What is the value of q in this population (what is the proportion of alleles in this population that are negative for the Alu insertion)? What is the value of p in this population? Which proportion of this population is predicted to have a homozygous positive genotype if this gene is at a Hardy-Weinberg equilibrium? Darwin would have been most likely to agree withwhich statement describing the results of thisinvestigation?A. Mutation is responsible for the survival of all flies in the control jar.B. In all environments, wingless flies are betteradapted for survival than winged fliesC. The type of food provided in the experimental jar did not promote survival of winged flies.D. The flypaper is a selecting agent against thewinged flies Which part of the excerpt hints at Frankenstein's desire to act as God? I need this asapA. lower middle classB. landed gentryC. aristocracyD. nobility Which rules give a repeating pattern that has a 7 as the 15th number? Select all that apply.a) 1, 7b) 1, 7, 9c) 1, 9, 7d) 1, 7, 7e) 7, 1, 9 A company usually sends 9 people to install a security system in an office building, and they do it in about 96 minutes. Today, they have only three people to do the same size job. How much time should be scheduled to complete the job? Which of the following structures or systems is correctly paired with its function? (2 points)Group of answer choicesCentral nervous system - processes information and controls responsesFrontal Lobe - portion of the brain that controls body movementNeurons - brain cells that control thoughts, calculations, and memoryPeripheral nervous system - releases hormones and controls emotions How do you think WWII contributed to the public's changing views on women's capabilitiesand rights? In what ways are women still required to prove themselves today? Citeexamples from the text, your own experience, and other literature, art, or history in your answer. Find the length of a rectangle if the Area is 27 cm squared and the width is 3 cm A positive symptom of schizophrenia would be 5 95 8,994 + 11 11 9,010 = Which statements best describe Construction careers? Check all that apply.1. They are primarily indoors.2. They are removed from others.3. They pay well.4. They are growing slowly.5. They are demanding.6. They require teamwork.7. They present few job opportunities.8. They require physical strength. Question 5:Factor (x^2 9) (x^2 5x + 4) completely. Plz help i will give brainliest The graph shows a line and two similar triangles.What is the equation of the line?A) y=3xB) y=1/3xC) y=1/3x+2D) y=3x+2 Consider designing a program where you need to store information about every student ASU. You need to be able to quickly determine which students are graduating this semester. Would you use an array or linked list? Analyze the problem, design a choice, and justify the choice when aqueous solutions of sodium hydroxide and iron (II) chloride react, which substance will precipitate? 2NaOH + FeCl2 = 2NaCl + Fe(OH)2 )) Sophie bought 6 packages of cat food and 4 packages of dog food. Each package of catfood contained 8 cans, and each package of dog food contained 2 cans. How many more cansof cat food than dog food did Sophie buy? If sound travels at 5600 m/s through a steel rod,what is the wavelength,given a wave frequency of 2480 Hz If five times four is thirty-three, what will the fourth of twenty be?