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3 years ago

How many groups of 60 equal 300

1 answer:

3 0

Okay, ask yourself this : how many times does 6 goes into 30?

6 and 1 = 6
6 and 2 = 12
6 and 3 = 18
6 and 4 = 24
6 and 5 = 30

6 goes into 30 a number of 5 times. And so that means that :

60 and 1 make 60.
60 and 2 make 120
60 and 3 make 180.
60 and 4 make 240
60 and 5 make 300

FIVE (5) groups of 60 make 300.

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Are the graphs of the lines in the pair parallel? Explain.

jok3333 [9.3K]

So you gotta change the second one to slope int form and it will become -3y=18x-54 which means that it's A because parallel lines can't be parallel if the slopes are different. (pretty sure this is right but who knows)

6 0

3 years ago

"The sum of seven-eighths of a number and 20 is 34 at minimum."

Gennadij [26K]

Answer:

Anything greater than or equal to 17.

Step-by-step explanation:

7/8 of 17 is 14.875

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3 years ago

The amount of rainfall each month over the past four years is shown below

Angelina_Jolie [31]

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4 0

3 years ago

Although still a sophomore at college, John O'Hagan's son Billy-Sean has already created several commercial video games and is c

Scilla [17]

Answer:

27 feet for the south wall and 18 feet for the east/west walls

Maximum area= $486\ ft^2$

Step-by-step explanation:

Optimization

This is a simple case where an objective function must be minimized or maximized, given some restrictions coming in the form of equations.

The first derivative method will be used to find the values of the parameters that control the objective function and the maximum value of that function.

The office space for Billy-Sean will have the form of a rectangle of dimensions x and y, being x the number of feet for the south wall and y the number of feet for the west wall. The total cost of the space is

C=8x+12y

The budget to build the office space is $432, thus

$8x+12y=432$

Solving for y

$\displaystyle y=\frac{432-8x}{12}$

The area of the office space is

$A=xy$

Replacing the value found above

$\displaystyle A=x\cdot \frac{432-8x}{12}$

Operating

$\displaystyle A= \frac{432x-8x^2}{12}$

This is the objective function and must be maximized. Taking its first derivative and equating to 0:

$\displaystyle A'= \frac{432-16x}{12}=0$

Operating

$432-16x=0$

Solving

$x=432/16=27$

$x=27\ feet$

Calculating y

$\displaystyle y=\frac{432-8\cdot 27}{12}$

$y=18\ feet$

Compute the second derivative to ensure it's a maximum

$\displaystyle A'= \frac{-16x}{12}$

Since it's negative for x positive, the values found are a maximum for the area of the office space, which area is

$A=xy=27\ ft\cdot 18\ ft\\\\\boxed{A=486\ ft^2}$

5 0

3 years ago

A man sold 3 times as many tie dyed shirts as white shirts. He sold 196 shirts altogether. How many tie dyed shirts did he sell?

Ivanshal [37]

We solve this the following way:

tie dyed shirts = x
white shirts = y

x = 3y

x + y = 196

3y + y = 196 (we substitute the x with the 3y in the main equation)

4y = 196 (divide this)

y =49

x = 147

The man sold 147 tie dyed shirts and 49 white shirts.

3 0

3 years ago