You have quarters, nickels,
and dimes that total $1.85. You have twice as many
nickels as dimes, and 2 more quarters than dimes.
How many of each coin do you have?

PERIMETER

Answer:

Answer is 28 m

Step-by-step explanation:

Breadth= 2m

Length= 2X6m

= 12m

Perimeter of a rectangle = 2X (Length+ Breadth)

= 2X (2+12)

= 2X14

= 28m

AREA

Answer:

Answer is 24 m

Explanation:

Length= 12

Breadth= 2

Area of a rectangle= Length X Breadth

= 12X2

= 24 sq. m

Hope it helps ;)

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In coin changing problem,  the greedy strategy fails for the denominations 25, 20, 10, 5, and 1 cents.

The greedy algorithm for the coin change problem (pay a certain amount with the fewest number of coins feasible) is effective. It always chooses the coin with the largest denomination that does not exceed the remaining sum, and it consistently determines the right answer for certain coin sets.

But for certain set of denominations, it fails. For example take a sum of 44 cents then by greedy algorithm, first taking the highest denominations one 25 cent is taken and now 19 is remaining. So now one 10 cent is taken, and 9 is remaining. Now, one 5 cent is taken and four 1 cent is taken. So total we get 7 coins.

Now let us deviate from greedy algorithm and take two 20 cents, now 4 is remaining. So now four 1 cent is taken, this sums up only 6 coins. So this is a much optimal solution than the one obtained by greedy algorithm.

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Answer:

2/21

Step-by-step explanation:

The first purple is 5/15 and the second is 4/14. Multiply them together to get 2/21.

Answer: Twelve times four squared

Step-by-step explanation: hope it helps

Answer:

I think its (1,-1) when you rotate it 270 degrees your supposed to switch x and y and make x negative y positive

Answer:

111

Step-by-step explanation:

Answer:

c. 51=h−17

Step-by-step explanation:

the other ones dont make since and C is the only one that does.

Answer:

.6, 6/10, 15/25

Step-by-step explanation:

hope this helps!❄︎

Answer: 1 & 4 4&5 6&7

Step-by-step explanation:

Answer:

-2 x 2 - 4x + 3

If x = -2, then . . .

-2 x 2 -(-4 x -2) + 3

-2 x 2 + 8 + 3

The answer is 7

I know this because of

( )

Exponents

x or /

+ or -

-2x2-4(2)+3 = 7 because x=3 so,

-2x2-8+3

7

Answer:

a. m<MUC - m<MUP = m<PUC

Step-by-step explanation:

From the options given, the only statement that is true of the figure shown is:

a. m<MUC - m<MUP = m<PUC

Rationale:

m<MUC = m<MUP + m<PUC (Angle Addition Postulate)

Subtract m<MUP from each side

m<MUC - m<MUP = m<PUC

Answer:

√50

Step-by-step explanation:

To solve, use distance formula.

√(9-4)^2 + (2-(-7))^2=

√5^2+5^2=

√50

\(v(x) = 14 - 3x\\v(-3) = 14 - 3 \cdot (-3) = 14 + 9 = 23\\v(0) = 14 - 3 \cdot 0 = 14 - 0 = 14\\v(4) = 14 - 3 \cdot 4 = 14 - 12 = 2\)

It will take approximately 7.12 days for a culture with a doubling time of 934 minutes to grow from 15 cells/mL to 86,059 cells/mL. This is calculated using the exponential growth equation and logarithms.

If the doubling time is 934 minutes, it means that the number of cells in the culture doubles every 934 minutes. Let t be the time in minutes required to grow from 15 cells/mL to 86,059 cells/mL. We can set up the following equation:

86,059/15 = 2^(t/934)

Taking the logarithm of both sides, we get:

log(86,059/15) = (t/934) log(2)

Solving for t, we get:

t = (log(86,059/15)/log(2)) * 934 ≈ 10,288 minutes ≈ 7.12 days

Therefore, it will take approximately 7.12 days for the culture to grow from 15 cells/mL to 86,059 cells/mL under the given conditions.

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Answer:

1. The slope of the line is 3. The line goes up 3, over 1, and since slope is rise/run, the slope is 3.

2. The slope of the line is 4. The line goes up 4, over 1, and since slope is rise/run, the slope is 4.

3. The slope of the line is 2. The line goes up 2, over 1, and since slope is rise/run, the slope is 2.

4. The slope of the line is -4. The line goes down 4, over 1, and since slope is rise/run, the slope is -4.

The gradients of line equations are listed below:

In this question we have four cases of line equations shown on Cartesian plane, whose gradients must be found. The gradient of each line can be computed by means of secant line formula and two points:

m = Δy / Δx

Where:

Case 1: (x₁, y₁) = (- 1, - 4), (x₂, y₂) = (1, 2)

m = [2 - (- 4)] / [1 - (- 1)]

m = 3

Case 2: (x₁, y₁) = (- 1, - 1), (x₂, y₂) = (0, 3)

m = [3 - (- 1)] / [0 - (- 1)]

m = 4

Case 3: (x₁, y₁) = (- 1, - 1), (x₂, y₂) = (1, 3)

m = [3 - (- 1)] / [1 - (- 1)]

m = 2

Case 4: (x₁, y₁) = (0, 4), (x₂, y₂) = (2, - 2)

m = (- 2 - 4) / (2 - 0)

m = - 3

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Answer:

3 inches

Step-by-step explanation:

The green bar reaches all the way to the 3 on the ruler, and each number represents an inch.

Answer:

Around 8 days

Step-by-step explanation:

Divide 325 from 2,563

2563 / 325 = 7.888

Round that number

Answer:

single payment variable annuity

Step-by-step explanation:

Given : ABC Insurance offers an annuity with 4.5% APR for the next 5 years. You decide to invest $1000 each year into this account.

To find : What type of annuity is this?

Solution :

Annuity is the form of insurance in which some of the money is paid each year to secure for future.

There are two types of annuity:

Single payment variable annuity - In this annuity the payment is made at the end of each period  over a fixed length of time. Also in this annuity payments are made monthly, quarterly, semi-annually or annually.

Annuity due - is the opposite of single payment variable annuity as in this the payment is made at the beginning of each period.

In the given situation the annuity is single payment variable annuity because the investment is done each year for 5 years.

Answer: (-3,2)

Step-by-step explanation:

Solving by substitution involves taking one of the equations and basically plugging it into the other.

I would start by taking the first equation and rearranging it to equal a variable. It will be easier to solve using this equation as the x variable is already isolated.

Take: \(x+3y=3\)

Subtract 3y to the other side: \(x=3-3y\)

Now plug this equation in for the value x into the other equation like so:

\(3y-2(3-3y)=12\)

Now there is only one variable to solve in this new equation. Solve for the value y.

Distribute -2: \(3y-6+6y=12\)

Combine Like Terms: \(9y-6=12\)

Add 6 to both sides to cancel: \(9y=18\)

Divide by 9 to both sides to cancel 9: \(y=2\)

So the value y=2.

Now we can plug the value of y back into either equation to now solve for x.

\(x+3(2)=3\)

\(x+6=3\)

\(x=-3\)

Now you have the point (-3,2)

You can check your answers if you would like.

Answer:

(-3,2)

Step-by-step explanation:

Answer: she will need 2.8 days to finish the work.

Step-by-step explanation:

Let's define:

D = number of days.

B = rate at which Barbara paints a barn

S = rate at which Sara paints a barn

We know that Barbara can paint a barn in 5 days, then:

B*5 days = 1 barn

B = 1/5 barns per day.

And we know that Sara can paint it in 8 days, then:

S*8 days = 1 barn

S = 1/8 barns per day.

Now, when they work together, their rates are added.

Then if they work together for two days, they paint a total of:

(1/5 barns per day + 1/8 barns per day)*2 days

(8/40 barns per day + 5/40 barns per day)*2 days

(13/40 barns per day)*days = 26/40 barns

Now Sara needs to paint he other 14/40 barns in her own, she will need D days, then:

(1/8 barns per day)*D = 14/40 barns

D = (14/40 barns)/(1/8 barns per day) = (14*8/40) = 2.8 days.

So she will need 2.8 days to finish the work.

Answer and Step-by-step explanation: In math, a graph, function or equation can be alterated - by shifting, reflecting, stretching or compressing - without losing its original shape. For example, a quadratic function maintains its parabolic shape when shifted.

When an equation is transformed vertically, it means its y-axis is changed. When it is horizontally, its x-axis is modified.

For equation \(y=x^{3}\):

This means the exponential equation will be multiplied by a constant, in this case 3. Then, the new equation is

\(y=3x^{3}\)

When an equation is shifted, it's added a constant to it. As it is horizontal, it means it is added to the x and because it is to the right, it is a plus symbol:

\(y=x^{3+4}\)

Vertical shift means the equation is 3 units "below" the original equation, so:

\(y=x^{3}-3\)

The Movies For Less charges $5 more than Movies Plus.Therefore, option A is correct.

According to the statement

we have to find that the Which statement is true if 15 movies are rented from each company.

So, For this purpose, we know that the

From the given information:

Movies Plus charges its customers a $10 monthly service fee plus $2 for each movie the customer rents.

So, 15 movies from this provider will cost = 10+2(15)

15 movies from this provider will cost = 40 dollars

Movies For Less charges $3 for each movie but does not have a monthly service fee.

So, 15 movies from this provider will cost =  15 *3 dollars.

15 movies from this provider will cost =  45 dollars.

Comparing both providers,

Then

we can see that Movies For Less charges $5 more than Movies Plus.

Therefore, option A is correct.

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Disclaimer: This question was incomplete. Please find the full content below.

Question:

Movies Plus charges its customers a $10 monthly service fee plus $2 for each movie the customer rents. Movies For Less charges $3 for each movie but does not have a monthly service fee. The costs of renting movies during the same month is represented in the table below.

Which statement is true if 15 movies are rented from each company?

A)Movies For Less costs $5 more.

B)Movies Plus costs $5 more.

C)Movies Plus costs $6 more.

D)Each company charges the same amount.

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2x(x-1) = 2x - 2

Step-by-step explanation:

a thing my math teacher always taught that sticks is that the equals sign is essentially the words is the same as. Think of it this way the sentaxe would be 2x -2 is the same as 2x minus 2. we get this because initially with the parentheses we have to take the number outside which is 2 and multiply everything inside by it. 2 times x equals 2x and 2 times -1 is negative 2.

The present value of your winnings is $20.07 million.

Present value is the value right now of some amount of money in the future.

For example, if you are promised $110 in one year, the present value is the current value of that $110 today.

Given:

The present value of an annuity is determined by:

PV = P [ 1- \((1+ r)^{-n\) / r]

With annual payments (P) of $1.75 million, for a period (n) of 20 years at a discount rate (r) of 6 percent, the present value is:

PV = 1.75  [ 1- \((1+ 0.06)^{-20\) / 0.06]

PV = 1.75 [ 1- 0.31180472688 / 0.06]

PV = 1.75 x 11.4699

PV = $20.07 million

Hence, the present value is $20.07 million.

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According to Daniel's theory, 18 customers would buy a toaster that costs $750.

If the popularity of a toaster is inversely proportional to its cost, we can set up a proportion as:

popularity of toaster 1 / cost of toaster 1 = popularity of toaster 2 / cost of toaster 2

Let's let x be the number of customers who would buy a toaster that costs $750.

We can write:

12 / 500 = x / 750

Simplifying:

12(750) = 500x

9000 = 500x

x = 18

Therefore, according to Daniel's theory, 18 customers would buy a toaster that costs $750.

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The probability that more than 2 students will attend is 0.9179.

Part (a) List the values that X may take on.

X may take on the values 0, 1, 2, 3, ..., 13.

Part (b) Give the distribution of X.

The distribution of X can be represented as follows: X-0:0, 1:0.23, 2:0.23, 3:0.23, 4:0.23, 5:0.23, 6:0.23, 7:0.23, 8:0.23, 9:0.23, 10:0.23, 11:0.23, 12:0.23, 13:0.23

Part (c) How many of the 13 students do we expect to attend the festivities? (Round your answer to the nearest whole number.)

We can expect 3 students to attend the festivities.

Part (d) Find the probability that at most 3 students will attend. (Round your answer to four decimal places.)

The probability that at most 3 students will attend is 0.6923.

Part (e) Find the probability that more than 2 students will attend. (Round your answer to four decimal places.)

The probability that more than 2 students will attend is 0.9179.

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