Stefan sells Jin a bicycle for $137 and a helmet for $17. The total cost for Jin is 140% of what Stefan spent originally to buy the bike and helmet. How much did Stefan spend originally? How much money did he make bying the bicycle and helmet to Jin? Stefan originally spent $​

Answers

Answer 1

Answer:

Stefan originally spent $110.

Stefan made a profit of $44.

Step-by-step explanation:

Given that:

Stefan sold the bike and helmet for $137 and $17

Total amount = 137+17 = $154

This is 140% of the price Stefan originally paid.

Let,

x be the original price paid by Stefan

140% of x = $154

[tex]\frac{140}{100}x=154\\1.4x = 154\\\frac{1.4x}{1.4}=\frac{154}{1.4}\\x=110[/tex]

Therefore,

Stefan originally paid $110 for the bicycle and helmet.

Profit made by Stefan = 154-110 = $44

Hence,

Stefan originally spent $110.

Stefan made a profit of $44.


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Find the value of each variable in the parallelogram.

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Answer:

u = 4; v = 18

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Answer:

Fractions that are above 1/2 or 0.5

Step-by-step explanation:

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The cost of 10 pens is $2.25.

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If x + y = –10 and x - y = 2, what is the value of x?

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Answer:

Step-by-step explanation:

10+60t≤280

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A sporting goods store sells 7 cans of tennis balls for every 3 tennis rackets. How many cans of tennis balls would be sold if 63 tennis rackets were sold?

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Answers

Answer:

7×63=441

Step-by-step explanation:

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The diameter of a circle is 9 feet. Find the radius.

Answers

Answer:

4.5

Step-by-step explanation:

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Step-by-step explanation:

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Hiroshi found that 3/5 of his class prefers vanilla ice cream, 26% prefers chocolate ice cream, and 0.14 prefers strawberry ice cream. Put the numbers in order from least to greatest. Which kind of ice cream do the least number of students prefer?

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Answers

Answer:

The kind of ice cream the least number of students prefer is Strawberry ice cream.

Step-by-step explanation:

We convert all given values to decimal

Hiroshi found that:

a) For vanilla ice cream

3/5 of his class prefers vanilla ice cream

3/5 to decimal = 0.6

b) For Chocolate ice cream

26% prefers chocolate ice cream

26% to decimal = 0.26

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0.14 prefers strawberry ice cream

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the average motorcycle weighs 32,000 grams. How many kilograms does the average motorcycle weigh?

Answers

Answer:

The average motorcycle would weigh 32 kilograms.

Step-by-step explanation:

1 kilogram = 1000 grams

so, to find how many kilograms a motorcycle is, we just need to divide the amount of grams by 1000

32,000 / 1000 = 32 kg

Solve the systems of equations 9x+5y=41 and x+y=9 by combining the equations

Answers

Step-by-step explanation:

multiplying the 2nd eqn by 9 we get,

9x+9y=81

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- - -

__________

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if x is the first of two consecutive integers, express the sum of the two integers in terms of x

Answers

Answer:

2x+1

Step-by-step explanation:

x = 1st integer

x+1 = next consecutive integer

The sum is

x+ (x+1)

Combine like terms

2x+1

let the first integer be x and the second be x + 2

then the sum is x +x+2 = 2x +2

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I NEED HELP!
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Answer:

The length of rectangle is (3a+2).

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Answer:

56ft

Step-by-step explanation:

because 还是故事还是vs酒吧睡觉把书本上

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Answers

Answer:

9 weeks

Step-by-step explanation:

divide the full capacity by 2 to get 9 because 9 x 2 is 18 and half of the full capacity would be half capacity

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Answers

Answer: x < -2

Step-by-step explanation:

Steven earns extra money babysitting. He charges $37.00 for 4 hours and $55.50 for 6 hours. Enter an equation to represent the relationship. Let x represent the number of hours Steven babysits and y represent the amount he charges.

Answers

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Answer:

Step-by-step explanation:

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Answer:

Step-by-step explanation:

Because these two triangles are isoceles triangles, two angles are the same, which in this case would be 78. 78 times 2 would give us 156 for the right triangle, but since 180 - 156 does not equal 16, they are not similar nor congruent.

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Answers

Answer:

The value of x = 4 if A, B, and C are collinear points and B is between A and C.

Step-by-step explanation:

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Answers

Answer:

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General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of Equality

Step-by-step explanation:

Step 1: Define

3x + 1 = 6x - 4

Step 2: Solve for x

Subtract 3x on both sides:                    1 = 3x - 4Add 4 to both sides:                              5 = 3xDivide 3 on both sides:                          5/3 = xRewrite:                                                   x = 5/3

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Exact form

x=5/3

Decimal form

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Mixed number form

x= 1 2/3

Step-by-step explanation:

Suppose that a bike for $12 plus $ 1.60 per hour. What is the slope ?

Answers

Answer:

Slope = 1.60

Step-by-step explanation:

y = 1.60x + 12

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Answers

Answer:

Area= 49[tex]\pi[/tex] or 153.94 or 147 (Since Pi= 3)

Circumference= 14[tex]\pi[/tex] or 43.98 or 42 (Since Pi= 3)

Step-by-step explanation:

[tex]A=\pi rx^{2}[/tex]

[tex]C=2\pi r[/tex]

13
5
ө
12
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Answers

Answer: Sin θ =

Step-by-step explanation:

In the figure attached, ABC is a right angle triangle.

Sides of this triangle are AB = 12 BC = 5 and CA = 13

Angle opposite to the side having length = 12 is θ.

Now we have to calculate sin θ.

Since Sinθ =

=

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Step-by-step explanation:

Lydia is buying a ring.
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Answers

Answer: I believe it's £24

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The diameter of a circle is 8 cm. Find its circumference in terms of pi

Answers

Answer:

25.13 or 8 × pi

Step-by-step explanation:

diameter × pi = circumference

Answer:

Step-by-step explanation:

formula for circumference of a circle=

C=2πr, r= radius

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multiply 2 and 4

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Answers

Answer:

B is the answer

Step-by-step explanation:

I worked it out

write the algebraic expression for: The length of a rectangle is 3 feet less than 4 times its width.​

Answers

Length = 4w - 3
Width = w

Answer:

Perimeter (P) is: 48

Problem to solve:

48=2(2x+3)+2(x)

48=4x+6+2x

48=6x+6

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Step-by-step explanation:

The length of a rectangle is 3 more than twice its width. The perimeter is 48 feet. Find the width. Hint: You did this in Module 3 Assignment 5. Now you have to write the equation and solve it.

a. 16

highlight%28b%29. 7

c. 8

d. 21

e. 24

:

Formula for the perimeter of a rectangle is: highlight%28P=2L%2B2W%29, P is perimeter, L is length, W is width.

Let Width (W) be:x

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What is the slope of the line through
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Answers

Answer:

-5

Step-by-step explanation:

A state Motor Vehicle Department requires learners to pass a written test on the motor vehicle laws of the state. The exam consists of twenty true-or-false questions, of which eighteen must be answered correctly to qualify for a permit. In how many different ways can a learner who answers all the questions on the exam qualify for a permit

Answers

Answer:

211 ways

Step-by-step explanation:

Given :

Number of questions = 20

Number of correct correct questions to be answered in other to qualify should be atleast 18

Hence,

Correct questions could be either 18, 19 or 20 ;

Using combination :

nCr = n! ÷ (n-r)!r!

20C18 = 20! / (20 - 18)!18!

20C18 = (20* 19) / (2 * 1) = 190 ways

20C19 = 20! / (20-19)!19!

20C19 = 20 / 1 = 20 ways

20C20 = 20! / 0! 20! = 1 ways

Hence, total number of possible ways = (190 + 20 + 1) = 211 ways

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