A women has twice as many dimes as quarters in her purse.If the dimes were quarters and the quarters were dimes,she would have $1.20 more than she now has.How many of each does she have?

Answer:

C)  (y+3)^2/64-(x+1)^2/36=1

Step-by-step explanation:

Just took the review in edg

To solve this problem, we just need to substitute the values into the equation and solve. the equation of hyperbola and solve. This will give

[tex]\frac{(y+ 3)^2}{64} - \frac{(x+1)^2}{36} =1[/tex]

The standard equation of a hyperbola is given as

[tex]\frac{(x-h)^2}{a^2} - \frac{(y-k)^2}{b^2} = 1\\[/tex]

The data given are;

Let's substitute the values into the equation of hyperbola and solve. This will give

[tex]\frac{(y+ 3)^2}{64} - \frac{(x+1)^2}{36} =1[/tex]

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ANSWER

The perimeter is 11.4 units

EXPLANATION

Perimeter is the distance around the figure.

We use the distance formula,

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

to determine the length of all the sides and add them.

[tex]|AB|=\sqrt{(-2--1)^2+(1-4)^2}[/tex]

[tex]|AB|=\sqrt{(-1)^2+(-3)^2}[/tex]

[tex]|AB|=\sqrt{1+9}[/tex]

[tex]|AB|=\sqrt{10} \approx 3.162[/tex]

[tex]|AC|=\sqrt{(2--1)^2+(1-4)^2}[/tex]

[tex]|AC|=\sqrt{(2+1)^2+(1-4)^2}[/tex]

[tex]|AC|=\sqrt{(3)^2+(-3)^2}[/tex]

[tex]|AC|=\sqrt{9+9}[/tex]

[tex]|AC|=\sqrt{18} \approx 4.24[/tex]

[tex]|BC|=\sqrt{(2--2)^2+(1-1)^2}[/tex]

[tex]|BC|=\sqrt{(2+2)^2+(1-1)^2}[/tex]

[tex]|BC|=\sqrt{(4)^2+(0)^2}[/tex]

[tex]|BC|=\sqrt{14}=4[/tex]

Therefore perimeter=[tex]|AB|+|BC|+|AC|[/tex]

=[tex]4.00+3.16+4.24[/tex]

=[tex]11.40[/tex] units

The exact volume of the oblique cylinder with a radius of 10 meters and a height of 11 meters is 110π cubic meters.

To calculate the exact volume of an oblique cylinder using Cavalieri's Principle, follow these steps:

1. Consider a right cylinder with the same base and height as the oblique cylinder. The volume of the right cylinder is given by the formula V = πr^2h, where r is the radius and h is the height.

2. Since the oblique cylinder and the right cylinder have the same base and height, their volumes are equal according to Cavalieri's Principle.

3. The formula for the volume of a right cylinder can be applied to the oblique cylinder, giving the volume as V = πr^2h.

4. Substituting the values of the radius (r = 10 meters) and height (h = 11 meters) into the formula gives V = π(10)^2(11) = 110π cubic meters.

5. Therefore, the exact volume of the oblique cylinder with a radius of 10 meters and a height of 11 meters is 110π cubic meters.

Final answer:

To find the difference between vectors u and v, subtract the components of v from the corresponding components of u, resulting in the vector A) <5, -5>.

Explanation:

The question involves finding the difference of two vectors u and v. To find the vector u - v, you subtract each corresponding component of vector v from vector u.

Thus, the vector u - v is A) <5, -5>.

Answer:

Jillian is not correct

Jillian has summed up the possible number of codes for each digit instead of multiplying it

Step-by-step explanation:

The lock has a code that consists of 3 number

It is given that the number in the lock code can be used between [tex]0[/tex] to [tex]39[/tex]

Thus, out of total [tex]40[/tex] set of numbers (i.e [tex]0-39[/tex]), the numbers can be repeated.

This means for all three code numbers the opportunity of choosing a number is same  i.e. between  [tex]0-39[/tex]

Now, the first digit of the code can be any number between  [tex]0-39[/tex]

Like wise the second and third  digit of the code can be any number between  [tex]0-39[/tex]

Thus. the possible number of codes with repetition allowed are

[tex]40 * 40* 40\\64000[/tex]

Hence, Jillian is not correct

Jillian has summed up the possible number of codes for each digit instead of multiplying it

Answer:

No, Jillian is not correct. According to the fundamental counting principle, the total number of possible codes would be (40)(40)(40) = 64,000. Jillian multiplied by 3 instead of multiplying the number of possibilities for each digit.

Step-by-step explanation:

By calculating the average speed of a 100-meter dash and then applying it to the marathon distance, it would take approximately 1.16 hours, or 1 hour, 9 minutes, and 28 seconds to complete a 26-mile marathon at that pace.

The student is asking how long it would take for someone to run a 26-mile marathon if they maintained the same speed as a 100-meter dash completed in 9.96 seconds. To calculate this, we first need to find the runner's average speed during the 100-meter dash. The speed (v) is distance (d) divided by time (t), so:

v = d / t = 100 meters / 9.96 seconds = 10.04 meters/second

Next, we convert the marathon distance from miles to meters. There are 1,609.34 meters in a mile, so:

26 miles * 1,609.34 meters/mile = 41,842.84 meters

To find the time (t) to run the marathon, we divide the total distance by the average speed:

t = 41,842.84 meters / 10.04 meters/second = 4,167.49 seconds

Finally, we convert seconds to a more understandable unit of time, hours and minutes:

4,167.49 seconds / 60 seconds/minute = 69.46 minutes
69.46 minutes / 60 minutes/hour ≈ 1.16 hours

So, John would complete the marathon in approximately 1.16 hours, or 1 hour, 9 minutes, and 28 seconds if he could maintain his 100-meter dash pace for the entire marathon.

Answer: TRUE

Step-by-step explanation:

There are 243 different ways the university radio station announcer can play a Beethoven symphony followed by a Mozart concerto, calculated by multiplying the number of Beethoven symphonies (9) by the number of Mozart concertos (27).

To determine how many different ways the university radio station announcer can play a Beethoven symphony followed by a Mozart concerto, we use the fundamental principle of counting. Since there are 9 Beethoven symphonies and 27 Mozart piano concertos, we multiply the two numbers together.

The calculation is as follows:

Therefore, the total number of combinations for playing one Beethoven symphony followed by one Mozart concerto is:

9 symphonies × 27 concertos = 243 possible combinations

This shows there are 243 different ways the radio station announcer can choose a pairing of a Beethoven symphony and a Mozart concerto to play back-to-back.

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Solution :

As per the problem we have

Each blade on a windmill is in the shape of a triangle with a base of 7 ft and height of 4 ft.

There are four blades on the windmill.

we have been asked to find the total area of the blades.

Area of one blade[tex] =\frac{1}{2}*base*height=\frac{1}{2}*7*4 =14 \ ft^2\\ [/tex]

Total are of blades[tex] =4*\text{Area of one blade}\\ [/tex]

Total are of blades[tex] =4*14=56 \ ft^2\\ [/tex]

The value of the expression 4.05 / 1.5 using the division property will be 2.7.

Algebra is the study of algebraic expressions, while logic is the manipulation of those concepts.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to answer the problem correctly and precisely.

The numbers are given below.

4.05 and 1.5

Then the division of the numbers 4.05 and 1.5 will be given by putting a division sign between them. Then we have

⇒ 4.05 / 1.5

⇒ 2.7

The value of the expression 4.05 / 1.5 using the division property will be 2.7.

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Final answer:

The result of dividing 4.05 by 1.5 is 2.7.

Explanation:

The value of 4.05 divided by 1.5 can be calculated by simply performing the division.

When you divide 4.05 by 1.5, you get 2.7.

This is because 4.05 is equivalent to 405 tenths, and when you divide 405 by 15 (since 1.5 is the same as 15 tenths), you end up with 27, or 2.7 when you adjust for the decimal placement.

Answer: Ari thinks amount of caramel is more for perfect milkshake as there is only need for 4.8 ounces of caramel but Freeze Zone is using 6 ounces of caramel.

Step-by-step explanation:

Since we have given that

Ari has 3 ounces of caramel for every 5 scoops of ice-cream .

Freeze Zone makes batches of milkshakes with 6 ounces of caramel and 8 scoops of ice-cream.

According to Ari,

For every 5 scoops of ice-cream, he needs 3 ounces of caramel

For every 1 scoop of ice-cream, he needs

[tex]\frac{3}{5}\text{ ounces of caramel}[/tex]

For every 8 scoops of ice-cream, he needs

[tex]\frac{3}{5}\times 8=\frac{24}{5}=4.8\text{ ounces of caramel}[/tex]

So, Ari thinks amount of caramel is more for perfect milkshake as there is only need for 4.8 ounces of caramel but Freeze Zone is using 6 ounces of caramel.

Ari will think Freeze Zone's milkshakes have the perfect amount of caramel.

To determine what Ari will think about Freeze Zone's milkshakes, we need to compare the ratio of caramel to ice cream in Ari's perfect milkshake to the ratio in Freeze Zone's milkshakes.

Ari's perfect milkshake has 3 ounces of caramel for every 5 scoops of ice cream, so the ratio is 3:5.

Freeze Zone's milkshakes have 6 ounces of caramel for every 8 scoops of ice cream, so the ratio is 6:8.

To simplify both ratios, we can divide the numbers by their greatest common divisor. The GCD of 3 and 5 is 1, so the simplified ratio for Ari's perfect milkshake is 3:5. The GCD of 6 and 8 is 2, so the simplified ratio for Freeze Zone's milkshakes is 3:4.

Since both ratios are the same, we can conclude that Ari will think Freeze Zone's milkshakes have the perfect amount of caramel.

Answer:

0.64, 65%, 2/3, 7/10

Step-by-step explanation:

The first step to solve this problem is writing all numbers on the same format:

I am going to write as percentages in the decimal format. So

0.64 = 0.64

2/3 = 0.667

65% = 65/100 = 0.65

7/10 = 0.7

So the correct answer is:

0.64, 65%, 2/3, 7/10

Answer:

[tex]60t\text{ Liters}[/tex]

Step-by-step explanation:

We have been given that a bathtub is filling with water at a rate of 60 liters per minute. We are asked to find the water filled in the bathtub after t minutes.

To find the number of liters of water filled in tub after t minutes we will multiply rate of water filling by time.

[tex]\frac{60\text{ Liters}}{\text{Minute}}\times t\text{ minutes}[/tex]

[tex]60\text{ Liters}\times t[/tex]

[tex]60\times t\text{ Liters}[/tex]

[tex]60t\text{ Liters}[/tex]

Therefore, there were [tex]60t\text{ Liters}[/tex] of water in the bathtub after t minutes.

Answer: 80

MsEHolt is correct, the answer is 80[tex]in^2[/tex]

Sherri will pay approximately $30.69 in interest on her credit card debt of $1,050.25 with an 18.5% annual interest rate, assuming she makes payments of $400 per month and the interest compounds monthly.

To calculate how much interest Sherri will pay on her credit card debt, we need to know how the interest compounds. Typically, credit card interest is compounded daily, but since we do not have the compound frequency, we'll use a simplified approach to estimate the interest assuming the interest is compounded monthly.

The annual interest rate is 18.5%, which translates to a monthly rate of 18.5%/12 = 1.54%. Since Sherri can pay $400 a month, we can calculate the time it will take for her to pay off the principal without considering interest. This gives us $1,050.25 / $400 < 3 months.

Since the debt would be paid off in less than three months, we can estimate the interest for each month and sum it up:

Adding up these interest payments gives us approximately:
$16.17 + $10.26 + $4.26 = $30.69 in interest.

Please note, this is an estimation that assumes a linear payment model. Actual interest charges could be higher due to daily compounding.