A dune buggy company rents dune buggies at the beach. They charge an initial fee of $30 plus
$10 for each hour the buggy is rented. Let x represent the number of hours and y represent the
total cost of the rental.
1. If Clint rents a dune buggy for 5 hours, how much should he expect to pay?

Answer:

tall candles = 39

Short candles = 52

Step-by-step explanation:

let tall candles be x

and short candles be y

No. Of candles sold = x + y =91

Money made from candles will be equal to = 8x + 5y = $572

These both are simultaneous linear equations.

x + y =91 ( multiply by 5)

5x + 5y = 455

8x + 5y = $572

Subtract them:

-3x = -117

x = -117/3

x = 39

put value of x in

x + y = 91

39 + y = 91

y = 91 - 39

y = 52

x shows tall candles so they are 39

y shows short candles so they are 52

Answer:

y=15

Step-by-step explanation:

Answer:

Y=15

Step-by-step explanation:

4-1=3

18-3=15

15+3=18

So, 15+4-1=18

Answer:

I know one of the statements will he that angle 1 is congruent to angle 2. the reason to that will be that they are vertical angles.

0.2889 is approximately the area to the right of 0.57 under the t-distribution with 17 degrees of freedom.

Using statistical software or a t-distribution table, we can find that the area to the left of 0.57 under the t-distribution with 17 degrees of freedom is approximately 0.7111.

To find the area to the right of 0.57, we need to subtract the area to the left of 0.57 from 1

Area to the right of 0.57 = 1 - 0.7111 = 0.2889

Rounding this to 4 decimal places gives us a final answer of 0.2889. Therefore, 0.2889 is approximately the area to the right of 0.57 under the t-distribution with 17 degrees of freedom.

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The solution set of the given system of equations is {(4, 0), (2, 4)}.

The given system of equations is: y = x² – 6x + 8 and y = –x + 4

To solve the given system of equations, we need to solve both the equations simultaneously.

We can solve the equations by the following method:

First Equation:

y = x² – 6x + 8

Rewriting in vertex form, we get:

y = (x – 3)² – 1

This is a parabola that opens upward and its vertex is at (3, –1).

Second Equation:

y = –x + 4

This is a line that passes through (0, 4) and (4, 0).

Now, we can find the solution of the given system of equations by plotting the graph of both the equations on the same graph.

We can observe from the graph that the two graphs intersect at (4, 0) and (2, 4).

Therefore, the solution of the given system of equations is: x = 4, y = 0, x = 2, y = 4

So, the solution set of the given system of equations is {(4, 0), (2, 4)}.

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Answer:

(a) We use the order of operations known as PEMDAS (Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction) to solve the formula 0.8 + 1.9 - 0.6. There aren't any brackets, exponents, or division or multiplication operations in this situation. The decimal numbers can simply be added together, and the result is subtracted. We get 2.7 when we add 0.8 and 1.9. 2.1 is the result after deducting 0.6 from 2.7.

() We multiply the decimal number by the entire number to calculate 0.23 multiplied by 6. The result of multiplying 0.23 by 6 is 1.38. The outcome of the expression 0.23 6 is therefore 1.38.

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The percentage return you make on the stock is 12.9%

From the question, we have the following parameters that can be used in our computation:

Initial value = $62

Final value = $70

The percentage return is then calculated as

Percentage return = (Final value - Initial value)/Initial value * 100%

Substitute the known values in the above equation, so, we have the following representation

Percentage return = (70 - 62)/62 * 100%

Evaluate

Percentage return = 12.9%

Hence, the percentage return is 12.9%

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Answer:

well, you can take 64 high-res shots, and if you dont take any high-res shots, you can take 128 low-res shots

Step-by-step explanation:

9514 1404 393

Answer:

  4L +8H = 512

Step-by-step explanation:

If we let L represent the number of low-res photos, and H the number of high-res photos, then the amount of memory (in MB) required will be ...

  4L +8H

An equation for the total number of photos that can be taken will be ...

  4L +8H = 512

Answer:

Correct V100 is right

Step-by-step explanation:

Answer:

y=40°

Z + Y = 70°

z. = 70°-40°

z. = 30°

POH=X

=180-70

=110°

Answer:

Step-by-step explanation:The walker family uses 45 pounds of crisped rice cereal per year. 1.55 pounds  they save by buying the 18-oz. box for $3.50 rather than the 12-oz. box for $2.75  by using unitary method.

What is called pound?

A pound is a unit of weight used mainly in Britain, America, and other countries where English is spoken. One pound is equal to around 0.454 kilograms. A pound of something is a quantity of it that weighs one pound.

For this, we get the unit price per ounce of each.

3.50/ 18 = 0.1944 unit

2.75 / 12 = 0.229 unit

The walker family uses 45 pounds of crisped rice cereal per year 45 ×0.1944=8.74845 ×0.229= 10.305.

Thus ,they save 10.305 - 8.75 = 1.55

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The correct value of approximately 19 payments are required to settle the loan.

To determine the number of payments required to settle the loan, we need to calculate the loan balance and divide it by the payment amount.

First, let's calculate the loan balance. The down payment made by General Computers Inc. is 30% of $61,000, which is $18,300. This means the loan amount is the remaining balance:

Loan amount = Purchase price - Down payment

= $61,000 - $18,300

= $42,700

Next, let's calculate the interest rate per period. The given interest rate is 3.50% compounded semi-annually. Since the payments are made quarterly, we need to adjust the interest rate accordingly. The semi-annual interest rate is:

Semi-annual interest rate = Annual interest rate / Number of compounding periods per year

= 3.50% / 2

= 0.035 / 2

= 0.0175

Now, let's calculate the loan balance after each payment. We'll use the formula for the future value of an ordinary annuity to calculate the loan balance at the end of each quarter:

Loan balance after each payment = Loan amount * (1 + Semi-annual interest rate)^(-Number of payments)

In this case, the loan amount is $42,700 and the payment amount is $2,250.53.

Let's calculate the number of payments required to settle the loan by iteratively subtracting the payment amount from the loan balance until the loan balance becomes zero:

Loan balance after payment 1 = $42,700 * \((1 + 0.0175)^(-1)\)

Loan balance after payment 2 = (Loan balance after payment 1 - Payment amount) * \((1 + 0.0175)^(-1)\)

Loan balance after payment 3 = (Loan balance after payment 2 - Payment amount) *\((1 + 0.0175)^(-1)\)

...Loan balance after payment n = (Loan balance after payment n-1 - Payment amount) *\((1 + 0.0175)^(-1)\)

We continue this calculation until the loan balance becomes zero.

Using this iterative calculation, we find that it takes approximately 19 payments to settle the loan.

Therefore, approximately 19 payments are required to settle the loan.

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Your longitude in DMS is 135 degree. So the option D is correct.

This is because there are 12 hours left in the local time ( i.e. 12 hours noontime or mid-day).

As UT (or GMT) time is 9 p.m., there are 9 hours between GMT time and local time.

9 hours = 9 × 60 minutes = 540 minutes

Now, we know that:

Every four minutes, the Earth turns one degree.

Thus, 1-degree longitude difference = 4 minutes

Or, 4 minutes of time difference = 1 degree of longitude

Or, 1 minute of time difference = 1/4 degree of longitude

Or, 540 minutes of time difference = (1/4) × 540 degrees of longitude

540 minutes of time difference = 135 degrees of longitude

Also, we can infer that the current location is in the Western hemisphere because we know that it is 9 hours behind GMT (or UT) time.

Hence, the longitude of the current location = 135⁰

So the option 4 is correct.

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The complete question is:

Your chronometer is set for Greenwich Mean Time (GMT or Universal Tim, UT). High noon at your present location is 9 pm UT. What is your longitude in DMS (not decimal degrees)?

1. 30° 18'W

2. 30° 16'W

3. 30° 17'W

4. none of the above

Answer:

x=10

Step-by-step explanation:

It's a 90 degree angle.

90-60=30

30=the remaining angle, 3x

x=30/3, or 10

Hope I helped!

Answer:

0

Step-by-step explanation:

pretty sure don't trust me though

Answer:

Find the appropriate form for your objective function Then you will describe which solvers can handle complex then, you pass the extra Parameters finally, the function argument details.

The answer to this arithmetic expression is approximately 9.9998 x 10¹⁸

A combination of numbers, variables, and operators that represents a quantity or mathematical relationship is called an expression.

First, divide sextillion (10²¹) by nonmillion (10⁶) to get 10¹⁵.

Next, multiply 10¹⁵ by 10,000 to get 10¹⁹.

Subtract 200 million (2 x 10⁸) from 10¹⁹ to get 9.9998 x 10¹⁸.

Finally, add 5,000 to get the result of approximately 9.9998 x 10¹⁸ + 5,000 = 9.9998 x 10¹⁸ + 0.0005 x 10¹⁸ = 9.9998 x 10¹⁸.

Therefore, the answer to this arithmetic expression is approximately 9.9998 x 10¹⁸

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Answer:

question is incomplete,there must be something else too

Step-by-step explanation:

i hope this help you and have a great day

Answer:27,609

Step-by-step explanation:

Answer:

27,609

Step-by-step explanation:

just did edg =)

Answer:

I'm confused as to what you are asking

You also did not attach any work haha

I cannot answer this

we get that:

so the height is 1.4323 in

The missing value is equal to x = 11.

To determine the missing value in the inverse variation between the given pairs of points (5.5, 8) and (x, 4), as;

y = k/x

Using the first point (5.5, 8), substitute the values into the equation:

8 = k/5.5

To find the value of k, multiply both sides of the equation by 5.5:

8 * 5.5 = k

44 = k

Now that we know the value of k is 44, we can substitute it, using the second point (x, 4):

4 = 44/x

To solve for x, multiply both sides of the equation by x:

4x = 44

Dividing both sides of the equation by 4,

x = 44/4

x = 11

Therefore, the missing value is x = 11.

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The volume of a stack of 9 books is 1368.75 cubic inches.

To find the volume of a stack of 9 books, we first need to find the height of the stack. Since each book is 3/4 inch thick, the height of the stack is 9 times 3/4 inch, which is 6 3/4 inches.

Now we need to find the area of the base of the rectangular prism formed by the stack of books. Since each book has an area of 22 1/2 square inches, the total area of the base of the stack is 9 times 22 1/2 square inches, which is 202 1/2 square inches.

Therefore, the volume of the stack of 9 books is:

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FIRST, we need variables. Once we define variables, it's much easier to turn this word problem into a math problem.

Let a = first side

Let b = second side

Let c = third side

NOW, we can turn the words into equations:

"a triangle has a perimeter of 165 cm."

a + b + c = 165

"the first side is 65cm less than twice the second side."

a = 2b - 65

"the third side is 10cm less than the second side."

c = b - 10

Before we finish, I have to ask: Who writes problems like this??? Pointless problems like these are why kids don't like math! Ugh. Drives me crazy. It's a shame, because solving math problems really does have a certain satisfaction, once you learn how. [Okay. I'm done. Back to the problem.]

If we could get this to have only one variable, we could solve it. Substitution to the rescue!

a + b + c = 165 (rewrote equation from above)

(2b - 65) + b + (b - 10) = 165 (substituted "a" and "c" from equations above)

See how that works? Let's solve it.

2b - 65 + b + b - 10 = 165 (dropped the parentheses, because there was nothing to distribute, not even a minus sign)

4b - 75 = 165 (combined like terms)

4b = 240 (added 75 to both sides)

b = 60 (divided both sides by 4)

We found the second side! We can find the first and third sides using those equations from above:

a = 2b - 65

a = 2*60 - 65

a = 120 - 65

a = 55

c = b - 10

c = 60 - 10

c = 50

All done.

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Step One - Define the Unknown Variable

First we need to define our unknown variable. For this case, I am going to use the letter 's' for the second side of the triangle (no actually because the question told you to). The reason I am using the second side as the unknown is because the second side is independent. The first and third sides' lengths depend on the length of the second side.

Step Two - Write an Equation

We need to use what we know to write the equation. First, we know that the perimeter of a polygon is the sum of the lengths of all the sides. The first side is 65 less than two times 's'. This would be 2s-65. The second side is just s. The third side is 10 less than 's'. So it would be s-10. The perimeter is all of the sides added up, so the expression for all the sides added up is                    (2s-65)+(s)+(s-10). The first, second, and third side added up is 165. So the equation for 1. is (2s-65)+(s)+(s-10) = 165.

Step Three - Solve the Equation

To solve the equation, you need to isolate the variable, which is 's'.

First, let's simplify the equation.

(2s-65)+(s)+(s-10) = 165.

4s-75 = 165.

Now we need to remove the 75. To get rid of the 75, you must add 75. But since you are adding 75 to one side of the equation, you must add 75 to the other side of the equation to make it equal.

4s-75+75 = 165+75

4s = 240

Now we need to remove the 4. To get rid of the 4, you have to divide each side by 4.

4s÷4 = 240÷4

s = 60

The length of the second side is 60 cm.

Step Four - Find the Lengths of all Sides

Now we know the length of the second side, we can find the length of the other sides.

The first side is 65 less than two times of 60.

Two times of 60 is 60×2 or 120.

65 less than 120 is 120-65 or 55.

The first side is 55 cm.

The third side is 10 less than 60.

10 less than 60 is 60-10 or 50.

The third side is 50.

So the lengths of the three sides are 55, 60, and 50.

Step Five - Check Your Answer

Now let's see if the three sides added up equals to 165.

Well, 55+60+50 does equal 165, so we know this is right.

The equation that represents the perimeter of the triangle is                      (2s + 65) + (s) + (s + 10) = 165. The length of each side of the triangle is 55, 60, and 50.

Answer:

20.05feet

Step-by-step explanation:

Given data

Circumference= 63feet

The expression for circumference is

C= 2πr

substitute

63= 2*3.142*r

63= 6.284r

r= 63/6.284

r=10.025

Hence the diameter is

=10.025*2

=20.05feet

Answer:

308 cm³

Step-by-step explanation:

volume of cylinder = πr²h

volume = (22/7)*(7/2)*(7/2)*8

volume = 308cm³

Answer:

yous math symblom

Step-by-step explanation:

its a good website for that

Answer:

x = -6

Step-by-step explanation:

4(x-6)+4=6x-8

Multiply by four in parenthesis.

4x-20=6x-8

Add 20 on both sides.

4x=6x+12

Subtract 6.

-2x=12

Divide -2

z = -6

:)

Answer:

0.0045045045

Step-by-step explanation:

Have a good day I hope this helps! :)