Write a problem that uses a fraction greater than 1

After Colby used 3 2/7 buckets out of Anastasia's 10 buckets of mulch, Anastasia has 6 5/7 buckets left. The subtraction was performed by converting mixed numbers to improper fractions, performing the operation, and then converting back to a mixed number.

Anastasia had 10 buckets of mulch for her garden. After Colby used 3 2/7 buckets, we need to subtract that amount from the total to find out how many buckets are left. To subtract the mixed number, we can convert it into an improper fraction and then perform the subtraction.

First, convert 3 2/7 to an improper fraction:
3 2/7 = 3 x 7 + 2 which is 21/7 + 2/7 = 23/7.

Now subtract the improper fraction from the total number of buckets:
10 - 23/7
Change 10 to a fraction with a denominator of 7 to get 70/7.

Subtract the two fractions:
70/7 - 23/7 = (70 - 23) / 7 = 47/7.

Convert the improper fraction back to a mixed number:
47/7 = 6 5/7 (since 47 divided by 7 is 6 with a remainder of 5).

So, Anastasia has 6 5/7 buckets of mulch left.

Answer: 122

Step-by-step explanation: its right on imagine math (ttm)

Answer:

With geometric sequences, all you have to do is multiply each term by -3 until you get to the needed term.

First term: 2

Second term: 2 * -3 = -6

Third term: -6 * -3 = 18

Fourth term: 18 * -3 = -54

Fifth term: -54 * -3 = 162

The fifth term of the sequence is 162.

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Answer:

1/45

Step-by-step explanation:

Answer:

it is c

Step-by-step explanation:

The exact volume of the cone in which the outline of cone with dotted line rising from middle of base to the point is 160/3π cm³.

Volume of solid is the amount of quantity, which is obtained by the solid or object in the 3 dimensional space.

The volume of the cone can be given with the following formula as,

[tex]V=\dfrac{\pi r^2 h}{3}[/tex]

Here, (r) is the radius of the base of the cone and (h) is the height of the cone.

The image of the cone, whose volume has to be find out, is attached below.

The height of the cone is 10 cm long and the radius is 4 cm long. Thus put these values in the above formula as,

[tex]V=\dfrac{\pi (4)^2 (10)}{3}\\V=\dfrac{160}{3}\pi \;\;\tm cm^3[/tex]

Hence, the exact volume of the cone in which the outline of cone with dotted line rising from middle of base to the point is 160/3π cm³.

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The value of the hypotenuse x is equal to 12 units.

Pythagorean theorem states that in the right angle triangle, the hypotenuse square is equal to the square of the sum of the other two sides. According to this statement, the areas of the squares on the other two sides add up to the size of the square whose side is the hypotenuse.

Use the Pythagorean theorem for this. (a^2+b^2=c^2)

a=9, b=12, c=x

The value of x will be calculated as,

a² + b² = c²

9²+12²=x²

81 + 144 = x²

225 = x²

x =15

Therefore, the measure of x is 15 units.

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Answer:

The probability is [tex]P=\frac{5}{9}[/tex]

Step-by-step explanation:

Marvin has to randomly choose between 3 transport options.

Since the choice is random, then the probability of choosing any of the three options is the same.

The probability of teleportation in the first attempt is:

[tex]P_t = \frac{1}{3}[/tex]

So, the probability that you do not teleport is

[tex]q = 1-p\\\\q = 1-\frac{1}{3}\\\\q = \frac{2}{3}[/tex]

The probability that Marvin does not teleport when going to work and Marvin does not teleport when he returns from work is:

[tex]P = \frac{2}{3} * \frac{2}{3}\\\\P = \frac{4}{9}.[/tex]

Therefore the probability of teleportation at least once is:

[tex]P= 1-\frac{4}{9}\\\\P = \frac{5}{9}[/tex]

Final answer:

To calculate the total cost including a 5% sales tax on a $579 smartphone, convert the tax rate to a decimal and multiply it by the price, then add the result to the original price. The total cost would be $607.95.

Explanation:

To find the total cost for a $579 smartphone with a 5% sales tax, you'll need to calculate the amount of sales tax and then add it to the original price of the smartphone. Here's how you would do that step by step:

Firstly, convert the sales tax from a percentage to a decimal by dividing by 100. For 5%, you would calculate 5 ÷ 100 = 0.05.

Next, calculate the sales tax by multiplying the original price by this decimal. You do this by calculating $579 × 0.05 = $28.95 in sales tax.

Finally, add the sales tax to the original price to find the total cost. Add the two amounts together to get $579 + $28.95 = $607.95.

So, the total cost of the smartphone including sales tax would be $607.95.

Answer:JEF has a 50 degree complement

140 degrees is the supply of JEF

If your teacher says NONE, then the complement of DON is -34 degrees.

DON is 56 degrees when supplemented

We use trigonometry to find the distance from the base of the string to the wall. The cosine of an angle in a right triangle is defined as the adjacent side length divided by the hypotenuse length. You can plug the given values into the rearranged formula and solve it.

The question is asking about the distance from the base of the string (the part that touches the floor) to the wall. This is a typical trigonometry problem. We know that the string forms an angle of 50° with the floor and that it stretches up to 3.2 m on the wall. Given these values, we can use the cosine function to find the distance between the base of the string and the wall.

The cosine of an angle in a right triangle is defined as the adjacent side length divided by the length of the hypotenuse. In our case, you can think of the 3.2 m wall height as the 'adjacent' and the string length as the 'hypotenuse'. So, we can rearrange this relationship to solve for the base, or 'hypotenuse', of the triangle:

Length of string (hypotenuse) = Adjacent side / cos(angle)

Plugging in the values we know:

Length of string = 3.2 m / cos(50°)

After that, you can plug the numbers into a calculator to find the value in meters of the distance from the base of the string to the wall.

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