I need help with all the blank ones (15 points)

To solve the given problem, let's call the given number x. The number that is 2 times greater than x is 2x, and the number that is 2 times smaller than x is x/2. By solving the equation x + (2x) + (x/2) = 1300, we find that the given number is 400.

To solve the given problem, we need to find a number that is 2 times greater than the given number and a number that is 2 times smaller than the given number. Let's call the given number x. So the number that is 2 times greater than x is 2x, and the number that is 2 times smaller than x is x/2. We can set up the following equation: x + (2x) + (x/2) = 1300. By simplifying and solving for x, we find that the given number is 400.

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Therefore, the quotient of 67 divided by 4 is 16.

The division is one of the basic arithmetic operations in math in which a larger number is broken down into smaller groups having the same number of items.

Given that, 67 divided by 4.

Here,

4|67|16

  4

_____

 27

 24

_____

   3

So, the quotient is 16 and the remainder is 3.

Therefore, the quotient is 16.

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Answer:

20!

Step-by-step explanation:

trust me i just did this problem! is 20 :)

To calculate the amount of punch Jane can make with 6 cups of plum juice, we need to convert cups to liters and use proportions based on the original juice ratios. She can make approximately 4.8 liters of punch with 1.44 liters of plum juice, 2.4 liters of pear juice, and 0.96 liters of pineapple juice.

Jane's favorite fruit punch consists of pear, pineapple, and plum juices in the ratio 5:2:3. To find out how much punch she can make with only 6 cups of plum juice, we need to set up a ratio based on the original proportions. First, we convert the given amount of plum juice to liters because the original recipe is in liters (1 cup is approximately 0.24 liters). Six cups of plum juice is roughly 1.44 liters.

Using the original ratio of 5:2:3 for pear, pineapple, and plum juice, and knowing that the amount of plum juice is 1.44 liters, we can set up the following proportions:

To find the values of x and y, we use cross multiplication:

By solving these equations, we find x (pear juice) is approximately 2.4 liters and y (pineapple juice) is approximately 0.96 liters. Adding these up, Jane can make a total of 4.8 liters of punch with the available plum juice.

Answer:

110 sq feet

Step-by-step explanation:

Answer:

8.89 is the answer

Step-by-step explanation:

inch: 1...2...3

centimeters: 2.54....5.08...10.16

  2.54

+ 2.54

  5.08

+ 5.08

  10.16

So because my explanation is not correct but my answer is, you should give me brainliest for no apparent reason...................im sorry

Hi there!

Step-by-step explanation:

First, you subtract by 8 from both sides of an equation.

x+8-8>14-8

Then, you subtract by the numbers from left to right.

14-8=6

The answer must have a positive sign.

Answer: →→ x>6

Hope this helps!

Have a nice day! :)

Answer:

b

Step-by-step explanation:

Three less than the quotient of a number and 6 is 1 can be numerically represented as  6Q - 3 = 1.

Numerical representation can be form from given statements where the representation contains only numbers and variables and arithmetic operations.

According to the given question three less than the quotient of a number and 6 is 1.

Let the quotient of the number be Q.

Given the number is 1.

So, this can be numerically form as

6Q - 3 = 1.

6Q = 1 + 3

6Q = 4.

Q = 4/6

Q = 2/3.

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Final answer:

To estimate the time it would take to fill a swimming pool with a garden hose, use the formula: time = volume / flow rate. Part (a): time = 80,000 L / 60 L/min = 1333.33 min. Part (b): time = 80,000 L / 60,000 L/min = 1.33 min.

Explanation:

To find the time it would take to fill a swimming pool using a garden hose delivering a certain amount of water per minute, you can use the formula: time = volume / flow rate.

For part (a) of the question, the volume of the swimming pool is given as 80,000 L and the flow rate of the garden hose is 60 L/min. Plugging these values into the formula, we get: time = 80,000 L / 60 L/min = 1333.33 min.

For part (b) of the question, the volume of the swimming pool is still 80,000 L, but the flow rate is given in a different unit: 5000 m³/s. To make the units consistent, we need to convert 5000 m³/s to L/min.

There are 1000 L in 1 m³ and 60 min in 1 hour, so the conversion factor is 1000 L / 1 m³ * 60 min / 1 hour = 60,000 L/min.

Plugging this value into the formula, we get: time = 80,000 L / 60,000 L/min = 1.33 min.

Final answer:

Each side of Benjamin's equilateral triangle fence is 12 feet in length. This is calculated by dividing the total perimeter of 36 feet by the number of sides, which is three.

Explanation:

Since Benjamin's fence forms an equilateral triangle with equal sides, the length of each side can be easily calculated by dividing the perimeter by the number of sides. The perimeter of the triangle is given as 36 feet. Since a triangle has three sides, we simply divide the perimeter by 3 to find the length of each side.

To calculate: 36 feet (total perimeter) ÷ 3 sides = 12 feet per side.

Therefore, each side of Benjamin's equilateral triangle fence measures 12 feet in length.

After dividing 17 by 4 we get quotient 4 and remainder 1 so the mixed fraction of  [tex]\dfrac{17}{4} = 4 \dfrac{1}{4}[/tex] .

Use the concept of fraction defined as:

A fraction is a part of the whole number and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called a fraction. It can be written in the form of p: q, which is equivalent to p / q.

Here we have to convert 17/4 into a mixed fraction.

Divide 17 by 4,

(The complete steps of this division are attached below)

After division we get,

quotient = 4

remainder = 1

Hence,

The mixed fraction of,

[tex]\dfrac{17}{4} = 4 \dfrac{1}{4}[/tex]

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On the number line is the red dot located on √39. Hence option D is true.

Given that;

The number line with a point is shown with a red point.

Here from the number line,

The point shown is between 6 and 7 and is nearest to 6.

Hence check all the given options.

A. √29= 5.38

Which is not between 6 and 7.

B. √49= 7

Which is not between 6 and 7.

C. √78= 8.83

Which is not between 6 and 7.

D. √39= 6.24

Which is between 6 and 7.

Thus the correct option is D.

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Let

x---------> the number

The equation that represent this situation is

[tex]x=10+9[/tex]

[tex]x=19[/tex]

therefore

the answer is

The number is [tex]19[/tex]