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2 years ago

The area of a square bedroom is 144 square feet. what is the length of one wall?

1 answer:

6 0

The answer is: "12 feet" .
________________________________
Note: In a square, the length of EACH of the four sides of the square is the same.

Area = Length * width.

For a square, length = width.

So for a square, Area = length * width = (length of a side)² = s² ,

Given: A = s² = 144 ft² ;

Solve for the positive value of "s" .
________________________________
  → s² = 144 ft² ; Take the "square root" of each side ;

  → √(s²) = √(144 ft²) ;

  → s = 12 ft.
_______________________________
The answer is: 12 ft.
_______________________________

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67. The line contains the point (4,0) and is parallel to the line defined by 3x = 2y.

olganol [36]

Answer:

$y=\frac{3}{2} x-6$

Step-by-step explanation:

Hi there!

What we need to know:

Linear equations are typically organized in slope-intercept form:

$y=mx+b$ where m is the slope of the line and b is the y-intercept (the value of y when the line crosses the y-axis)

Parallel lines will always have the same slope but different y-intercepts.

1) Determine the slope of the parallel line

Organize 3x = 2y into slope-intercept form. Why? So we can easily identify the slope, m.

$3x = 2y$

Switch the sides

$2y=3x$

Divide both sides by 2 to isolate y

$\frac{2y}{2} = \frac{3}{2} x\\y=\frac{3}{2} x$

Now that this equation is in slope-intercept form, we can easily identify that $\frac{3}{2}$ is in the place of m. Therefore, because parallel lines have the same slope, the parallel line we're solving for now will also have the slope $\frac{3}{2}$ . Plug this into $y=mx+b$ :

$y=\frac{3}{2} x+b$

2) Determine the y-intercept

$y=\frac{3}{2} x+b$

Plug in the given point, (4,0)

$0=\frac{3}{2} (4)+b\\0=6+b$

Subtract both sides by 6

$0-6=6+b-6\\-6=b$

Therefore, -6 is the y-intercept of the line. Plug this into $y=\frac{3}{2} x+b$ as b:

$y=\frac{3}{2} x-6$

I hope this helps!

7 0

2 years ago

A teacher surveys 30 students on the the number of books they read over the summer.The data are represented in the box plot what

Margaret [11]

Answer:

Wheres the plot?

Step-by-step explanation:

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2 years ago

The solution of the system is (400, 3,200). How would you interpret this solution?

alekssr [168]

The solution (400, 3, 200) is the answer to a system of equations which has three variables. Respectively, this system is expected to have three equations because it has three unknowns. So for example if your unknowns are x, y and z, then the answers will be x=400, y=3, and z=200.

3 0

3 years ago

Read 2 more answers

Can someone help with this questions please

MrRissso [65]

Q9.

This question can't be answered. It is necessary to get the dimensions of the figure.

Q10.

Let's find a conclusion having statements step by step.

a) If 3 cans of soup cost a total of $0.85, then 1 can of soup costs:

$\frac{\$0.85}{3}$

b) If I get n cans of soup the equation I need to use is multiply the previous equation by n:

$(\frac{\$0.85}{3})n$

The conclusion is: G. Multiplying n by the cost of 1 can.

Q11.

Let's find a conclusion having statements step by step.

a) The company charges $40 to hook a vehicle, so this is a constant variable. Then:

c = 40$

b) There is a second statement that states that for each mile the vehicle is towed the cost increases $1.70, so:

c = $40 + 1.70m

So, the answer is B.

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2 years ago

16) It cost DJ $32.06 for 14 gallons of gas. What would be the cost if she bought 20 gallons of

fgiga [73]

Answer:

$45.8

Step-by-step explanation:

32.06 / 14= 2.29

2.29x20=45.8

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2 years ago