The expression 0.09x+(x−30) models the final price of a bicycle with an instant rebate in a state that charges a sales tax. The tax is on the original price. Which expression represents the amount of tax that is paid on the bicycle?

A) 1.09x

B) 0.09x

C) 0.09x - 30

D) x - 30

Answers

Answer 1

The correct answer is option B). The expression that represents the amount of tax paid on the bicycle is 0.09x.

The expression given is:

[tex]\[ 0.09x + (x - 30) \][/tex]

This expression can be broken down into two parts:

1. [tex]\( 0.09x \)[/tex] represents the tax paid on the original price of the bicycle, where [tex]\( x \)[/tex] is the original price and [tex]\( 0.09 \)[/tex] (or [tex]\( 9\% \)[/tex]) is the tax rate.

2. [tex]\( (x - 30) \)[/tex] represents the final price after the instant rebate of $30 has been subtracted from the original price [tex]\( x \)[/tex].

Since we are looking for the amount of tax paid, we only need to consider the tax component, which is [tex]\( 0.09x \)[/tex].

Therefore, the expression that represents the amount of tax paid on the bicycle is: [tex]{0.09x}[/tex]


Related Questions

Which describes the slope of this line?
A.
negative slope

B.
zero slope

C.
positive slope

D.
undefined slope

Answers

C because it is negative
Undefined slope because there is no rise and only a run

The average weight of an almond is 1,200 milligrams. You buy 65 almonds at the price of $0.10 per gram. How much do you pay for the almonds?

Answers

1,200*65:1000=78 gram
78*0.10=7.8
You pay $7.8 for the 65 almonds

Final answer:

To find the total cost for 65 almonds at $0.10 per gram, multiply the weight of one almond (1.2 grams) by the number of almonds (65), then multiply the total weight by the price per gram. The total cost is $7.80.

Explanation:

To calculate the total cost of 65 almonds when the average weight of an almond is 1,200 milligrams and the price is $0.10 per gram, we will first need to determine the total weight of the almonds in grams and then multiply by the price per gram.

Convert the average weight of one almond to grams: 1,200 milligrams = 1.2 grams (since 1,000 milligrams = 1 gram).

Multiply the weight of one almond by the number of almonds: 1.2 grams/almond × 65 almonds = 78 grams.

Calculate the total cost by multiplying the total weight by the price per gram: 78 grams × $0.10/gram = $7.80.

Therefore, you would pay $7.80 for 65 almonds.

at the soda shop they sold forty eight hotdogs on monday and eighty on tuesday. how many times as many did they sell in monday than they sold on tueday?

Answers

the answer is 10 because 8 times ten is 80
they sold 60% more on tuesday than on monday

Mrs. Kuss is playing a crazy game of Monopoly with her son Ethan. In order to land on Boardwalk she will need double sixes. What is the probability as a percent that she will roll two sixes?

Answers

2 in 12 chance is the answer


The probability of rolling one 6 is 1/6. For figuring out what the probability is for both to occur, you'd multiply. 1/6 * 1/6 = 1/36 = 2.7777%

Multiply. (75)(−54) Enter your answer as an improper fraction, in simplified form, in the box.

Answers

75 times -54 equals -4050. Your question does not show a fraction or any indicator to put it into a fracton

A student writes an incorrect step while checking if the sum of the measures of the two remote interior angles of triangle ABC below is equal to the measure of the exterior angle.

Step 1: m∠m + m∠n + m∠o = 180 degrees (sum of angles of a triangle)
Step 2: m∠p + m∠o = 180 degrees (adjacent supplementary angles)
Step 3: Therefore, m∠m + m∠n + m∠o = m∠n + m∠p
Step 4: So, m∠m + m∠n = m∠p


In which step did the student first make a mistake and how can it be corrected?
Step 1; it should be m∠m + m∠n + m∠o = 90 degrees (corresponding angles)
Step 1; it should be m∠m + m∠n + m∠o = 90 degrees (adjacent angles)
Step 3; it should be m∠m + m∠n + m∠o = m∠o + m∠p
Step 2; it should be m∠o − m∠p = 90 degrees (complementary angles)



PLEASE HELP!!!



Answers

I think it is Step 3

Answer:

its step 3

Step-by-step explanation:

i just took the test.

Which equation will help you solve this problem?

You have 16 books and 2 shelves to store them.

If you split them equally between the 2 shelves, how many books will be on each shelf?

Answers

there will be 8 books on each shelve
This question is a division question.
you can write an 16/2
The answer would be 8

7/4 - 1.76

Please help -.-

Answers

7/4= 1.75
1.75-1.76= -.01
Hope this helps
The answer is -0.01 as a decimal

. Rotate 270 clockwise around the origin, and then translate 2 units up. (2, 10) (9, 5) (12, 2) (12, 10)

Answers

(-10,4) (-5,11) (-2,14) (-10,14)

Write 6 27/100 as a decimal

Answers

6 27/100 as a decimal will be 6.27

y+7=9/10(x+3) in standard form

Answers

9x10−y= 43/10                         the answer is 43/10
 
hope that helped!    

The equation y + 7 = 9/10(x + 3) is converted into standard form by distributing, isolating y, eliminating fractions, and rearranging terms, resulting in the standard form 9x - 10y = 43.

The equation y + 7 = 9/10(x + 3) needs to be converted into standard form. The standard form of a linear equation is Ax + By = C where A, B, and C are integers, and A should be non-negative.

To put the given equation into standard form, we need to distribute the 9/10 across the (x + 3) and then isolate y on one side:

y + 7 = (9/10)x + (9/10)x3

Step 1: Multiply 9/10 by each term in the parentheses.

y + 7 = (9/10)x + 27/10

Step 2: Subtract 7 from both sides to isolate the y term.

y = (9/10)x + 27/10 - 70/10

y = (9/10)x - 43/10

Step 3: To get rid of the fraction, multiply the entire equation by 10.

10y = 9x - 43

Step 4: Finally, to put this into standard form, we need to move the x term to the left side of the equation.

-9x + 10y = -43

Here, our standard form would be 9x - 10y = 43, as we usually do not want a negative A term in standard form.

 PLEASE HELP ME! Jerry has 2 1/2 pounds of peanuts to share equally. He plans to share the peanuts amoung 5 people. How many pounds of peanuts will each person get? Express your answer in simplest form.

Answers

.5 is the answer. Have a great day :)

Can anyone help me with this question? If you can explain, please do so!

Answers

6s + 12 = 3(2s + 8)

Solve what is in the parenthesis first. To do this, multiply everything in the parenthesis by 3.

6s + 12 = 6s + 24

Subtract 12 from both sides.

6s = 6s + 12

Subtract 6s from both sides.

0 = 12

This means there is not solution.

Something that helped you get to this answer was by combining like terms.

Hope this helps!

jon weighs 148 lbs and hopes to gain 2 lbs a week matt weighs 193 lbs and hope to lose 1 lb a week how many weeks till the weight is the same

Answers

Well, first of all they both are going to die of weight loss, and weight gain second of all, I THINK 7 WEEKS.
148+2x=193-x
3x=193-148
3x=45
x=15

Edward jogs 34 of a mile around a park. Edward jogged around the trail 2 times in 1 hour. What is Edward's speed in miles per hour?

Answers

1.5 miles per hour. i hope i helped :)

Which expression is equal to 4−−√40−3−−√45 ?

Answers

The    Answer:   −30x                    .-. 
 good luck

Farmer Ed has 3,500 meters of​ fencing, and wants to enclose a rectangular plot that borders on a river. If Farmer Ed does not fence the side along the​ river, what is the largest area that can be​ enclosed?

Answers

Answer:

Because it is a rectangle, the area is expressed as A = xy, or length times width.

Step-by-step explanation:

Because it is next to the river, he only needs to fence three sides, so F = x + 2y.

Knowing the amount of fencing available is 7500m, we get:

7500 = x + 2y        solve for x

x = 7500 - 2y         substitute into the area equation

A = (7500 - 2y)y     distribute

A = -2y2 +7500y

You can see that this is a parabola which opens down, meaning that the point of maximum area will be at the vertex, y = -b/2a = -7500/[2(-2)] = 1875

x = 7500 - 2(1875) = 3750

A = 3750(1875)  = 7,031,250 m2

If Farmer Ed has 3,500 meters of​ fencing, and wants to enclose a rectangular plot that borders on a river. If Farmer Ed does not fence the side along the​ river, Then 7,031,250  is the largest area that can be​ enclosed.

What is Rectangle?

A rectangle is a closed 2-D shape, having 4 sides, 4 corners, and 4 right angles (90°).The opposite sides of a rectangle are equal and parallel.

As it is next to the river, he only needs to fence three sides, so F = x + 2y.

Knowing the amount of fencing available is 7500m, we get:

7500 = x + 2y        

solve for x

x = 7500 - 2y        

substitute into the area equation

A = (7500 - 2y)y    

Distribute

A = -2y2 +7500y

You can see that this is a parabola which opens down, meaning that the point of maximum area will be at the vertex, y = -b/2a = -7500/[2(-2)] = 1875

x = 7500 - 2(1875) = 3750

A = 3750(1875)  = 7,031,250 m².

Hence 7031250  is the largest area that can be​ enclosed.

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Use the associative property to identify which expression is equal to (10)(5x)(7).

A. (7)(5x)(10)

B. 10(5x + 7)

C. (10*5)(x*7)

D. (5x)(10)(7)

Help please, thanks in advance!

Answers

Answer is choice C. The reason why is because we're simply moving parenthesis around to regroup terms

(10)(5x)(7) = (10*5)(x*7)

We've grouped up the 10 and 5 together; we've also grouped up the x and 7 together. 

Side Note: The specific rule being used is the associative property of multiplication. Algebraically that rule is a*(b*c) = (a*b)*c

HELP PLEASE!!!!! HELP

What is the number in scientific notation?


Drag the answer into the box to match the number.
855,000,000,000

A: 8.055 x 10 ^-8
B: 8.5 x 10^9
C: 8.55 x 10 ^-11
D: 8.55 x 10^11
E: 8.5 x 10^7
F: 8.055 x 10^8

Answers

I gotchu fam. The answer is D

The scientific notation is the answer in D

Sue has $4, Tom has $11, Brian has $6, and Anita has $9. Use mental math to find how much money they have altogether. Show your work.

Answers

So you want to add together 4, 6, 11, and 9.

So to make it easier, I would first add together 4 and 6, and 11 and 9.

4 and 6 added together is 10

11 and 9 added together is 20

So, just 20 + 10, or 30.
use addition to find how much money they have all together. they have $30

State the slope of the line in simplest form.

Answers

(0,-6)(4,4)
slope = (4 - (-6) / (4 - 0) = 10/4 = 5/2 <==

the tax on a $400 painting is $34 what should be the tax on a $700 painting

Answers

The tax rounds up to $77.

The Outdoors Club members are planning some activities to do on a sunny autumn Saturday. One half of the members are going hiking. One fourth of the members are bike riding. One eighth of the members are rock climbing. Nine of the members are walking their dogs. How many Outdoor Club members are doing an activity on Saturday?

Answers

72 members
1/8 is 9 members
9 x 8 = 72

Answer:

72

Step-by-step explanation:

Lets say total number of Outdoor club member = [tex]x[/tex]

Members going for hiking = [tex]\frac{x}{2}[/tex]

Members going for bike riding = [tex]\frac{x}{4}[/tex]

Members going for rock climbing = [tex]\frac{x}{8}[/tex]

Member going for walking their dogs = 9

Thus,

[tex]x=\frac{x}{2}+\frac{x}{4}+\frac{x}{8}+9[/tex]

[tex]x-\frac{x}{2}-\frac{x}{4}-\frac{x}{8} = 9[/tex]

[tex]\frac{8x-4x-2x-x}{8}=9[/tex]

[tex]\frac{x}{8}=9[/tex]

[tex]x=72[/tex]

72 Outdoor Club members are doing an activity on Saturday.

8/9(54x−36)+2=−3/4(−40+16x)+90x solve for x

Answers

SOLVING STEP BY STEP:

[tex] \dfrac{8}{9}(54x-36)+2=- \dfrac{3}{4}(-40+16x)+90x\\ \\ \dfrac{8*54x}{9}- \dfrac{8*36}{9}+2= \dfrac{3*40}{4}- \dfrac{3*16x}{4}+90x\\ \\ \dfrac{432x}{9}- \dfrac{288}{9}+2= \dfrac{120}{4}- \dfrac{48x}{4}+90x\\ \\48x-32+2=30-12x+90x\\ \\48x-30=30+78x\\ \\-30-30=78x-48x\\ \\-60=30x\\ \\ \dfrac{-60}{30}=x\\ \\\boxed{ \boxed{-2}}=x\ ===>\ The\ great\ answer.[/tex]


TESTING:

[tex] \dfrac{8}{9}(54(-2)-36)+2=- \dfrac{3}{4}(-40+16(-2))+90(-2)\\ \\ \dfrac{8}{9}(-108-36)+2=- \dfrac{3}{4}(-40-32)-180\\ \\ \dfrac{8}{9}(-144)+2=- \dfrac{3}{4}(-72)-180\\ \\- \dfrac{8*144}{9}+2= \dfrac{3*72}{4}-180\\ \\ -\dfrac{1152}{9}+2= \dfrac{216}{4}-180\\ \\-128+2=54-180\\ \\\boxed{-126}=\boxed{-126}\quad\checkmark\ Correct.[/tex]
GOOD LUCK...!!!

what is the opposite of zero on a number line

Answers

answers is- 0 does not have an opposite

Two opposite numbers are the same distance from zero on the number line. For example, 3 and -3 are opposites. .

To make 3.7 a whole number, multiply by ?

Answers

by 10.
3.7 X 10 = 37 (in a calculator)
3.7  x 10 = 37 
you must multiply by 10 to remove the point 

Use scientific notation to find the product of 4.59 · 10 -5 and 30. Include all of your calculations in your final answer.

Answers

4.59 · 10^-5 and 30
= (4.59 x 3) x 10^-4
= 13.77 x 10^-4
= 1.377 x 10^-3

there are 20 cookies and 40 slices of pizza to be shared equally. Each student had the same number of whole cookies and same number of pizza with nothing left over. How many students could go to the party?

how many slices of pizza will each get?

how many cookies will each get?

Answers

20 students can go, who each get 1 cookie (smallest whole number) and 2 slices each.
20 students can go and they will each get two slices of pizza and 1 cookie

In timra’s math class, there are 12 boys and 15 girls. What is the ratio of boys to girls in timra’s math class

Answers

The ratio for the class is 4:5 you must divide each by 3
Final answer:

In Timra's math class, the ratio of boys to girls is 12:15, which can be simplified to 4:5. This means for every 4 boys, there are 5 girls.

Explanation:

In Timra's math class, there are 12 boys and 15 girls. The ratio of boys to girls in this case would be represented by the number of boys followed by the number of girls, separated by a colon. Therefore, the ratio of boys to girls is 12:15. You can also simplify this ratio by dividing both numbers by their greatest common divisor which is 3. After doing so, you will get a simplified ratio of 4:5. This means that for every 4 boys in the class, there are 5 girls.

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Ted Thomason found a good deal when he purchased a bedding set. He paid the store's clerk two $20 bills and a $5 bill. The clerk gave him $2.65 in change. If the sales tax is 7.2%, what was the selling price of the bedding set before taxes?

Answers

I'm pretty sure $39.31 was the original sales cost because if you use proportions to find out what is 7.2% of 42.35 ( what you get you you subtract 45 by 2.65). Your equation would be x/42.35 = 7.2/100. 42.35 is the whole because tax is adding money onto your original cost, making that the part. When you cross multiply you get 100x = 304.92. Then you divide by 100 on both sides to isolate the variable, to get x = 3.04. But you don't stop there. Since 3.04 is only the 7.2%, you have to subtract that by 42. 35 to get a sum of 39. 31 as your total. 
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