Lauren has dimes and nickels in her purse. The number of dimes is three more than seven times the number of nickels. Let n represent the number of nickels. Write an expression for the number of dimes.

Answers

Answer 1

Answer:

X = 7n + 3

Step-by-step explanation:

x= dimes

n=nickels

X = 7n + 3


Related Questions

Which equation can be used to solve for x in the following diagram? Choose 1 answer:

Answers

Answer:

D) 60=(x+45)

Step-by-step explanation:

D.  Since the two are equal, you need to put the two on opposite sides of the equation.  The equation doesn’t involve 90 or 180 degrees, so no reason to have them.  

Solving for x this way, you’d get 15, which is correct.

Which is a factor of 5x2 − 15x − 20?

Answers

Answer:

x= -1, x=4

Step-by-step explanation:

5x²-15x-20

5x²-20x+5x-20=0

5x(x-4) +5(x-4)

(5x+5) (x-4) =0

5x=-5 or x=4

x= -5/5. or x=4

x= -1 or x=4

Find the length of an arc of a circle with radius 18 cm if the arc subtends a central angle of 30°.

Answers

Answer: 9.42 cm.

Step-by-step explanation:

Length of arc is given by :-

[tex]l= \dfrac{x}{360}\times2\pi r[/tex] , where r= radius and x= central angle subtended by arc.

As per given , we have

[tex]x=30^{\circ}\\\\ r=18\ cm[/tex]

Then, the length of arc will be :

[tex]l=\dfrac{30}{360}\times2(3.14)(18)\\\\=\dfrac{1}{12}\times113.04\\\\=9.42\ cm[/tex]

Hence, the length of arc is 9.42 cm.

The length of an arc of a circle with radius 18cm is; L = 9.426cm

Length of an arc

The length of an arc can be evaluated using the formula;

L = (∆/360) × 2πr

Hence, the length of the given arc is;

L = (30/360) × 2 × 3.142 × 18cm

L = 9.426cm

Read more on length of an arc;

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Simplify (X2/3) ^4/5

Answers

The answer to your questions is x8/15. Hope this helps!


[tex]-2(3 - 2x) = -6x + 8(x + 2)[/tex]
solve step by step​

Answers

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{x = 11}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{ - 2(3 - 2x) = - 6x + 8(x + 2)}[/tex]

Distribute -2 through the parentheses

Similarly, Distribute 8 through the parentheses

[tex] \dashrightarrow{ \sf{ - 6 + 4x = - 6x + 8x + 16}}[/tex]

Collect like terms

[tex] \dashrightarrow{ \sf{ - 6 + 4x = 2x + 16}}[/tex]

Move 2x to left hand side and change it's sign

Similarly, move 6 to right hand side and change it's sign

[tex] \dashrightarrow{ \sf{4x - 2x = 16 + 6}}[/tex]

Collect like terms

[tex] \dashrightarrow{ \sf{2x = 16 + 6}}[/tex]

Add the numbers : 16 and 6

[tex] \dashrightarrow{ \sf{2x = 22}}[/tex]

Divide both sides by 2

[tex] \dashrightarrow{ \sf{ \frac{2x}{2} = \frac{22}{2} }}[/tex]

Calculate

[tex] \dashrightarrow{ \sf{x = 11}}[/tex]

Hope I helped!

Best regards! :D

can someone answer 5,6,7? can you also tell me how to solve them so i can do better in the future?

Answers

Like this , this is the rules of index
6. 7^2=(7•7=49)7^3=(7•7•7=343)
49•343=16,807
5.8^1=(8•1=8) 8^4=(8•8•8•8=4096)
4096•8=32,768
7. X^5 •x^4=9 (since there is no number where “x” is you just add)

The area of a rectangular wall of a barn is 270 square feet. It’s length is 12 feet longer than twice it’s width. Find the length and width of the wall of the barn.

Answers

Answer: 258

Step-by-step explanation: 270-12=w

The width of the wall is 9 feet and length is 30 feet.

What is perimeter of a rectangle ?

The perimeter of a rectangle is the sum of all the sides.

According to the given question the area of a rectangular wall of a barn is 270 square feet. It’s length is 12 feet longer than twice it’s width.

Assuming the width of the rectangular wall to be x feet.

∴ From the given data length is 2x + 12 feet.

We know area of a rectangle is product of it's length and width.

So, { x × ( 2x + 12 ) } = 270.

2x² + 12x = 270.

2x² + 12x - 270 = 0

x² + 6x - 135 = 0

x² + 15x - 9x - 135 = 0

x(x + 15) - 9(x + 15) = 0

( x + 15 ) = 0 OR ( x+ 9 ) = 0

∴ x = -15 OR x = 9.          ( we know length can note be negative )

So, Width of the rectangle is 9 feet and length is 30 feet.

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How many times as large 12 is than 2

Answers

Answer:

12 is 6 times larger than 2

Step-by-step explanation:

2*6=12

Answer:

12 is 6 times larger than 2.

Step-by-step explanation:

12, 6, and 2 are all common. Let's say we multiply 2 by 6, we get 12. We divide 12 by 2, we get 6.

The sum of a number and 12

Answers

Answer:

the sum of 6+6 is 12

Step-by-step explanation:

so the sum of the number 6+6 is 12 plz like and rate

PLEASE HELP ASAP!!!!!!!!!!!!

Answers

Answer: D

Step-by-step explanation: becasue i did it

Given that 4x - 2y < 8, solve for y. Put them in order from steps . plz help

Answers

Answer:

y > 2x - 4

Step-by-step explanation:

Step 1: Write out inequality

4x - 2y < 8

Step 2: Subtract 4x on both sides

-2y < -4x + 8

Step 3: Divide both sides by -2

y > 2x - 4

I need help with this

Answers

Answer:

b

Step-by-step explanation:

b is the answer

the range is all real number

Skkskskswks
................

Answers

Answer:

Skkskskswks....................

Step-by-step explanation:

???

Answer:

sksksksksksksksk.

Step-by-step explanation:

equals visco girl.

Korey is planning to open a comic book store. His store will cost $12,500 to open and will come with a $8,000 total annual operational cost. If his store makes $12,000 in profit during the first year, and profits increase by 6% each year from then, how long will it take for Korey to see an overall profit in his business (where total profits exceed total expenses)? a. Korey will see an overall profit in his first year of business. b. Korey will see an overall profit in his second year of business. c. Korey will see an overall profit in his third year of business. d. Korey will see an overall profit in his fourth year of business.

Answers

Answer:

c. Korey will see an overall profit in his third year of business

Step-by-step explanation:

His cost for first year

= 12500+8000

=$ 20500

Profit first year= $12000

Net Profit first year= -$8500

Second year cost= $8000

Profit second year

= 12000+12000(0.06)

= 12000+720

=$ 12720

Net profit second year = -8500+12720-8000

= -3780

Third year

Cost = $8000

Profit= 12720+12720(0.06)

Profit=$13483.2

Net profit= 13483.2-8000-3780

Net profit= $1703.2

Korey will see an overall profit in his third year of business.

What is profit?

The amount of money earned by any seller on the cost price is called the yield.

His cost for the first year

=  12500 + 8000

=$ 20500

Profit first year= $12000

Net Profit first year= -$8500

Second year cost= $8000

Profit second year

= 12000+12000(0.06)

= 12000+720

=$ 12720

Net profit second year = -8500+12720-8000

= -3780

Profit for Third-year

Cost = $8000

Profit= 12720+12720(0.06)

Profit=$13483.2

Net profit= 13483.2-8000-3780

Net profit= $1703.2

Therefore Korey will see an overall profit in his third year of business.

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the circumference of a circle is22 cm find the radiusof the circle​

Answers

Answer:

3.5cm

Step-by-step explanation:

[tex]C = 22cm\\r = ?\\\\C = 2\pi r\\\\r = \frac{C}{2\pi} \\\\r = \frac{22}{2(3.14)}\\ \\r = \frac{22}{6.28} \\\\r = 3.5[/tex]

Lavender grew from 38 inches to 52 inches in one month; what was
the % increase in growth ?

Answers

73% increase, set up a proportion of 38/52 equals x/100. then cross multiply and solve for X, this will give you the percentage.
There was a 73% increase in growth of the lavender.

Solve in detail plzzzzz

Answers

Answer:you need to multiply it by 4.

Step-by-step explanation:

If the number is multiplied by 4 it square root is effectively doubled.

Example: if you take the square root of 64, its 8.

to double the square root, you multiply 64 by 4---> 256.

And the square root of 256, is 16, double that of the square root of 64.

A _ is a constant, variable, or the product of a constant and variables.

Answers

Answer:

term

Step-by-step explanation:

term is a constant, variable, or the product of a constant and variables.

Term

An algebraic expression is one that is obtained by performing a finite number of algebraic operations on symbols that represent numbers.

An algebraic expression that is a number, a variable, or a product or quotient of numbers and variables is known as a term.

So,

A term is a constant, variable, or the product of a constant and variables.

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An airplane cruises 1 kilometer in 1 12 of a minute. What is its cruising speed?

Answers

Answer:

Step-by-step explanation: 12 ur welcome

Speed is Distance traveled/time, then 12 kilometer per min is the cruising speed of airplane when airplane cruises 1 kilometer in 1 12 of a minute.

What is speed?

Speed=Distance traveled/time

An airplane cruises 1 kilometer in 1 12 of a minute. We need to find the speed.

Given distance=1 km

time=1/12 min

We need to find speed.

Speed=Distance traveled/time

=1/(1/12)

=1*12/1

=12kilometerperminute

Therefore 12 kilometer per meter is the speed required.

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3^3-5(6) simplify this equation

Answers

Answer:

-3

Step-by-step explanation:

27-30

Answer:

-3

Step-by-step explanation:

3³-5(6)

3*3*3-30

27-30

-3

Solve for x. Show steps.

7x - 17 = 4x + 1

-x + 5 = x - 11

5x + 8 = 7x + 2

Answers

Combine the same numbers and do the opposite of either subtraction or addition.

Then, multiply or divide with the coefficient.

Answer:

see below

Step-by-step explanation:

⇒  7x - 17 = 4x + 1

combine like terms

7x - 4x = 1 + 17

3x = 18

x = 18/3

x = 6

⇒  -x + 5 = x - 11

combine like terms

- x - x = - 11 - 5

-2x = -16

x = 16 / 2

x = 8

⇒  5x + 8 = 7x + 2

combine like terms

5x - 7x = 2 - 8

- 2x = - 6

x = 6 / 2

x = 3

The answer to the problem rhenbehejrjrjrhjfjf

Answers

Through my trials and tribulations I have decided that the answer is.

Y E S

I am going to guess and say the answer is
True

You just found 13,406,190 pennies! How many dollars did you actually find? If each penny weighs 4 grams, how much did all that loot weigh in lbs?

Answers

Answer: 134,061.9 dollar and 118,222.45 lb

To answer this question you need to convert each unit.
First, 1 dollar equal to 100 pennies. That mean the equation would be: 13,406,190 pennies x 1 dollar/100 pennies = 134,061.9 dollar

Each penny weight 4 grams and 1 lb equal to 453.592grams. Then the equation would be:
13,406,190 pennies x 4 grams/pennies x 1lb/453.592 grams= 118,222.45 lb

Answer:

congrats you just found 118,222.36 pounds of pennies worth $134,061.9

you should buy a house or car with 59 tons of pennies

Which of the following units measures the volume of a solid? Can choice more than one answer. A) mL B) m³ C) cm³ D) L

Answers

Answer: B and C

explanation: The volume of solids are expressed in cubic measurements such as cubic centimeters (cm^3) or cubic meters (m^3).

The volume of a volleyball is about 288 cubic inches. what is the radius of the volleyball, to the nearest tenth of an inch? use 3.14 for π.
[tex]r = \sqrt{ \frac{3v}{4\pi} } [/tex]

Answers

Answer:

The radius of the volleyball is 8.3 inches

Step-by-step explanation:

Given

[tex]r = \sqrt{\frac{3v}{4\pi}}[/tex]

[tex]v = 288[/tex]

Required

Determine the value of r

To do this, we simply substitute 288 for v and 3.14 for π in the given equation.

This gives

[tex]r = \sqrt{\frac{3v}{4\pi}}[/tex]

[tex]r = \sqrt{\frac{3 * 288}{4 * 3.14}}[/tex]

[tex]r = \sqrt{\frac{864}{12.56}}[/tex]

[tex]r = \sqrt{68.7898089172}[/tex]

[tex]r = 8.29396219651[/tex]

[tex]r = 8.3\ inch[/tex] (Approximated)

Hence;

The radius of the volleyball is 8.3 inches

Answer: 4.1 inches

Step-by-step explanation:

The head of operations for a movie studio wants to determine which of two new scripts they should select for their next major production. (Due to budgeting constraints, only one new picture can be undertaken at this time.) She feels that script 1 has a 70 percent chance of earning about $10,000,000 over the long run, but a 30 percent chance of losing $2,000,000. If this movie is successful, then a sequel will be produced, with an 80 percent chance of earning $5,000,000, but a 20 percent chance of losing $1,000,000. On the other hand, she feels that script 2 has a 60 percent chance of earning $12,000,000, but a 40 percent chance of losing $3,000,000. If successful, its sequel would have a 50 percent chance of earning $8,000,000, but a 50 percent chance of losing $4,000,000. Of course, in either case, if the original movie were a flop, then no sequel would be produced. What is the probability that script 1 will be a success, but its sequel will not?

Answers

Answer: $9,000,000

Step-by-step explanation:

Probability is simply defined as the chance or likelihood that an event is going to happen or occur.

The probability that script 1 will be a success, but its sequel will not is the success of script 1 added to the failure of its sequel.

The total payoff will simply be the sum of the individual layoffs of both the success and the failure. This will be:

= $10,000,000 + (- $1,000,000)

= $10,000,000 - $1,000,000

= $9,000,000

Using conditional probability, it is found that there is a 0.14 = 14% probability that script 1 will be a success, but its sequel will not.

Conditional Probability

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened. [tex]P(A \cap B)[/tex] is the probability of both A and B happening. P(A) is the probability of A happening.

In this question:

Event A: Script 1 is a sequel.Event B: It's sequel is not.

Sequel 1 has a 70% probability of being a success, hence [tex]P(A) = 0.7[/tex].If it is a success, the sequel has a 80% probability of being a success, hence a 20% probability of being a failure, thus [tex]P(B|A) = 0.2[/tex]

Then:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

[tex]P(A \cap B) = P(A)P(B|A)[/tex]

[tex]P(A \cap B) = 0.7(0.2)[/tex]

[tex]P(A \cap B) = 0.14[/tex]

0.14 = 14% probability that script 1 will be a success, but its sequel will not.

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Solve for (4x+6)+(-x+2) please i need help

Answers

Answer:

3x - 8

Step-by-step explanation:

Step 1:

( 4x + 6 ) + ( - x + 2 )

Step 2:

4x - 6 + - x - 2

Step 3:

3x - 6 - 2

Answer:

3x - 8

Hope This Helps :)

Answer:

(3x+8)

Step-by-step explanation:

(4x+6)+(-x+2)

combine like terms

(4x+-x)+(6+2)

you would end up with

(3x+8)

15. After 20 minutes at work, Ellen was able to finish 3 tasks. If she works an 8 hour day, how
many tasks should she expect to finish?

Answers

Answer:

72

Step-by-step explanation:

An hour is 60 minutes.

Multiply the amount of tasks to the amount of times 20 goes into 60 (60/20).

3×3= 9

Once you have the amount of tasks finished in an hour (9 tasks), you will multiply 8 hours by 9 tasks.

8×9= 72

How to express a vector as a product of its length and direction?

Answers

Answer:

So the way to  express a vector( [tex]v =  2i - 2j - 2k[/tex]) as a product of its length and direction is

        [tex]v  =    |v| u =  \sqrt{12} (\frac{2}{ \sqrt{12} } , -\frac{2}{ \sqrt{12} }, - \frac{2}{ \sqrt{12} })[/tex]

 

Step-by-step explanation:

Generally a vector  is  expressed as a product of its length and direction using the formula below  

           [tex]v  =  |v|\cdot u[/tex]

Here v is the vector

        |v| is its magnitude (length)

         u is its unit vector (direction)

Now let take an example

Let  

     [tex]v =  2i - 2j - 2k[/tex]

The magnitude is mathematically evaluated as

          [tex]|v| =  \sqrt{ 2^2  + (-2)^2 +  (-2)^2 }[/tex]

         [tex]|v| =  \sqrt{12}[/tex]

The unit vector is mathematically represented as

        [tex]u  =  \frac{v}{|v|}[/tex]

        [tex]u  =  \frac{ <2 , -2 , -2>}{\sqrt{12} }[/tex]

    [tex]u =  \frac{2}{ \sqrt{12} } , -\frac{2}{ \sqrt{12} }, - \frac{2}{ \sqrt{12} }[/tex]

So

    [tex]v  =    |v| u =  \sqrt{12} (\frac{2}{ \sqrt{12} } , -\frac{2}{ \sqrt{12} }, - \frac{2}{ \sqrt{12} })[/tex]

 

What are 3 careers where similarity is used

Answers

Answer:

Management                Farming                  Construction

Step-by-step explanation:

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