a group of five people can do a piece of work in 6 hours calculate the time a group of 8 people will take to complete the same work ​

Answer: 7 13/15

Step-by-step explanation:

First of, you have to get your common denominator, as it's impossible without one.

The closest common denominator is 15, and it will ask you for a simplified version.

Multiply the 2/3 in 5 2/3 by 5 on both sides to get 5 10/15

Multiply the 1/5 in 2 1/5 by 3 on both sides to get 2 3/15

Then add up your sum.

5 10/15+2 3/15=7 13/15

Answer:

7 13/15

Step-by-step explanation:

5 2/3+2 1/5

We need to get a common denominator for the fraction

3*5 = 15

2/3 *5/5 = 10/15

1/5 * 3/3 = 3/15

5 10/15 + 2 3/15 = 7 13/15

Answer:

<2 is 50º

Step-by-step explanation:

you first want to find what x is, so you would put the two equations in an (equation)=(equation) and get x and the number across from each other, that would be x=15º. you then plug in the 15 to the equation, and solve that, resulting in 130º. The angle is going to be 180 in total, so subtract the 130º from 180º and you would get 50º

The number of calories per cup of popcorn is 28 oz and the number of calories per ounce of soda is 14 oz.

A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.

Let the number of calories per cup of popcorn be x and the number of calories per ounce of soda be y.

Roselle has 3 cups of popcorn and 6 oz of soda for a total of 162 calories.

3x+6y=162 ------(I)

Carmel has 1 cup of popcorn and 11 oz of soda for a total of 162 calories.

x+11y=182

x=182-11y------(II)

Substitute equation (II) in equation (I), we have

3(182-11y)+6y=162

546-33y+6y=162

546-162-27y=0

384-27y=0

384=27y

y=384/27

y=14

Substitute y=14 in equation (II), we get

x=182-11(14)

x=28

Therefore, the number of calories per cup of popcorn is 28 oz and the number of calories per ounce of soda is 14 oz.

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"Your question is incomplete, probably the complete question/missing part is:"

Roselle has 3 cups of popcorn and 6 oz of soda for a total of 162 calories. Carmel has 1 cup of popcorn and 11 oz of soda for a total of 182 calories. Determine the number of calories per cup of popcorn and per ounce of soda

Answer:

In a square or other rectangle, all pairs of adjacent sides are perpendicular. A right trapezoid is a trapezoid that has two pairs of adjacent sides that are perpendicular. Each of the four maltitudes of a quadrilateral is a perpendicular to a side through the midpoint of the opposite side.

Step-by-step explanation:

Answer:

the answer would be D because meadian is what in the middle

A power of 3 equation is called as cubic equation.

The term equation in math is known as a mathematical statement with an 'equal to' symbol between two expressions that have equal values.

Here we need to find the term that has been used for power of 3 equation.

Here we have to know that the power of 3 equation is known as cubic equation.

in other terms the polynomial equation which has a degree of three is called a cubic polynomial equation or trinomial polynomial equation.

As we all know that the power of the variable is the maximum up to 3, therefore, we get three values for a variable, say x.

The general form of the power of 3 equation is written as

=> ax³ + bx² + cx + d = 0

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Answer:

Step-by-step explanation:

This is pretty simple. To find the area of anything in square centimeters, you multiply the length by the height. You already have both of those number, so you just have to do 4.2 x 4.2 (or 4.2 to the second power). The answer is  21.84 square centimeters.

Answer: 21.84 square centimeters

The given equation does not give same solution set.The first equation gives negative number and second equation gives positive number as a solution.

The relationship between two values that are not equal is defined by inequalities. Inequality means not equal. Generally,Compare the two values whether it is less than or greater than,then different inequalities are used.

Many simple inequalities can be solved by adding, subtracting, multiplying or dividing both sides until you are left with the variable on its own. But these things will change direction of the inequality: Multiplying or dividing both sides by a negative number.

Now we solve

5-x>8                            x-5<8

5-5-x>8-5                      x-5+5<8+5

-x>3                                  x<13

Hence given equation does not give same solutions.

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The stripe's area in square feet is 240 square units.

The size of a region on a surface is measured in area. Surface area refers to the area of an open surface or the border of a three-dimensional object, whereas area of a plane region or plane area refers to the area of a form or planar lamina. The total space occupied by a flat (2-D) surface or the form of an item is defined as its area. Draw a square on a sheet of paper using a pencil. It is a two-dimensional figure. The area of the form on the paper is referred to as its Area. Consider your square to be made up of smaller unit squares.

Here,

The cylinder can be "unwrapped" into a rectangle, and we see that the stripe is a parallelogram with base 3 and height 80.

area=3*80

=240 square units.

the area of the stripe in square feet is 240 square units.

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The rule to find the cost and the cost of 7 packages can be given as 15n and $105 respectively.

When two quantities have some dependence in their values they can be said proportional to each other.

It can be of two types such as direct and indirect.

The direct proportionality means the values of both the quantities are increasing or decreasing at the same time while the indirect proportionality implies value of one quantity is increasing while the other is decreasing.

The table for the given case can be written as follows,

Packages of Golf Balls                                     Cost

        1                                                                  $15

        2                                                                 $30

        3                                                                 $45

        4                                                                 $60

The relation for proportionality can be obtained as,

15/1 = 30/2 = 45/3 = 60/4 = 15

(A) Suppose n be the number of packages.

Then, the cost is given as 15n.

(B) The cost of 7 packages is as below,

⇒ 15 × 7 = $105

Hence, the answers to both part can be given as 15n and $105 respectively.

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Therefore , the solution of the given problem of NP-complete problem comes out to be that every NP problem is decidable.

Nondeterministic polynomial-time complete is referred to as "NP-complete" in short. In this nomenclature, the phrase "nondeterministic" refers to stochastic Turing machines, a technique of theoretically formalizing the concept of a brute-force search process.

Here,

Consider that each NP problem can be resolved.

This is a crucial idea.

Since P problems also fall under the concept of NP, it is possible that P vs. NP may not be dependent on established formal frameworks like ZF set theory (i.e., neither provable nor disprovable in them).

Certain NP-Hard issues can also be found in NP.

It follows that any NP problem is decidable as the answer to the given NP problem.

Therefore , the solution of the given problem of NP-complete problem comes out to be that every NP problem is decidable.

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Answer: B. 3750

Step-by-step explanation:

We start by converting the percentage 25% to the decimal 0.25.

Next, we multiply the original price by this decimal (5000*0.25=1250)

And Finally, Since it is a loss we subtract the 1250 from the original price.

5000 - 1250 = 3750

Answer:

72.38

Step-by-step explanation:

When converting from mm to cm divide the length value by 10

Answer:

0.7

..............................

Answer:

108 students

Step-by-step explanation:

We can just multiply each value by a k value, or a constant of variation, since we would expect them to be proportional. To find it, we take our two known variables and divide them. 480/40 = 12. Now we multiply that number by 9 to find the projected amount of students wearing watches in the whole grade. 12*9 = 108.

Answer:

Where d = number of drinks

c = 1.25d

c = $7.5

Step-by-step explanation:

David paid $1.25 per drink and purchased 6 drinks. ​Use the drop down menus to write an equation for the price, cc , of all the drinks.

c = Cost of all drinks is expressed by the equation

c = $1.25 × d

Where d = number of drinks

c = 1.25d

From the questy

d = 6 drinks

Hence,

c = 1.25 × 6

c = $7.50

Answer: C = 12

Step-by-step explanation:

A = x

B = x[tex]\sqrt{3}[/tex]

C = 2x

So then to find A we divide B by [tex]\sqrt{3}[/tex], which makes A =6. But C = 2x, so then C = 2(6), which equals 12. Hope that helps :)

Answer:

Step-by-step explanation:

675

To find the perimeter of a rectangle or square you have to add the lengths of all the four sides. x is in this case the length of the rectangle while y is the width of the rectangle. The area is measurement of the surface of a shape.

Answer:

area = 6,789 ft

perimeter = 322 ft

Answer:

B

Step-by-step explanation:

Did this problem yesterday

Answer:

a

Step-by-step explanation:

Each roll is independent of each other so it doesn’t matter what any of the previous rolls were.

A single die has 6 different numbers. The probability of getting any one number is 1/6

The probability her next roll would be. 3 would be 1/6

Answer:

it would be 1/2 a chance  

Step-by-step explanation:

because she got it on her last 4 terns then she is most likely to do it agene  

Answer: 4.7%

Step-by-step explanation:

A=Pe^rt

A=620. P=490. t=5

620 = 490e^r(5)

620/490 = 490e^5r/490

1.2653061 = e^5r

In(1.2653061) = In(e^5r)

In (1.2653061)/5 = 5r/5

0.0470628 = r

4.70628% = r

r = 4.7%

7

4 1/5 ÷ 3/5 = 7

Kate cut 7 pieces of rope.

Answer:

15 and 16

Step-by-step explanation:

the square root of 253 is about 15.91

In the given diagram beside a coffee, the value of x is 38.

A diagram is a visual, symbolic representation of data. Diagrams have been used on cave walls since prehistoric times, but they became more common during the Enlightenment. The method occasionally employs the projection of a three-dimensional visualisation onto a two-dimensional surface. Sometimes the word "graph" is used in place of the word "diagram."

We know that all angles here add up to 360°

And with the vertical angles theorem we get the equation

2(36°) + 2(78 - x)° + 2(3x - 10) = 360°

2(36 + 78 - x + 3x - 10) = 360°

2(104 + 2x) = 360°

208 + 4x = 360°

4x = 360 - 208

4x = 152

x = 152/4

x = 38

Thus, In the given diagram beside a coffee, the value of x is 38.

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