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Elden [556K]
3 years ago
11

A rectangular room is 6.8 meters longer than it is wide, and perimeter is 29.6 meters. Find the dimensions of the room.

Mathematics
1 answer:
GuDViN [60]3 years ago
8 0

Answer:

dimensions = 10.8  X 4

Step-by-step explanation:

Breadth/ width of room = x

Length of room =  6.8 + x

perimeter = 2 ( L + B )

29.6 = 2 ( 6.8 + x + x )

29.6/2 = 6.8 + 2x

14.8 - 6.8 = 2x

8 = 2x

8/2=x

4=x

Length of room =  6.8 + x = 6.8 + 4 = 10.8 m

Breadth/ width of room = x = 4m

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If x varies directly with y and x = 3.5 when y = 14, find x when y = 18.
maks197457 [2]

Answer:

x = 4.5

Step-by-step explanation:

there's definitely other ways to solve this, but I used a proportion.

\frac{3.5}{x} = \frac{14}{18}

Then you can make this equation:

14x = 3.5 * 18

I solved for it and got 4.5 .

5 0
3 years ago
Solve for x
ludmilkaskok [199]

Answer:

x = 3/4

Step-by-step explanation:

Step 1: Write equation

5x - 2(x + 1) = 1/4

Step 2: Solve for <em>x</em>

  1. <u>Distribute -2:</u> 5x - 2x - 2 = 1/4
  2. <u>Combine like terms:</u> 3x - 2 = 1/4
  3. <u>Add 2 to both sides:</u> 3x = 9/4
  4. <u>Divide both sides by 3:</u> x = 3/4

Step 3: Check

<em>Plug in x to verify it's a solution.</em>

5(3/4) - 2(3/4 + 1) = 1/4

15/4 - 2(7/4) = 1/4

15/4 - 14/4 = 1/4

1/4 = 1/4

3 0
3 years ago
The low temperature in degrees Fahrenheit for 5 days was – 5, – 7, – 2, 2, and – 3. What was the average low temperature for tho
sammy [17]

Answer:

-3

Step-by-step explanation:

To find the average of different numbers, first you add them all up. So -5+-7+-2+2+-3+=-15. Then, you divide the sum of all the numbers by the amount of numbers there were. So in this case, there were 5 numbers so we would divide the sum of all of them by 5. So now we do -15/5=-3.

Another example of finding the average of numbers is 15+4+10+9+3+1. So first we add them up and we get 42, then again, we divide by the amount of numbers there are. So we do 40/6 and we get 7, so the average is 7.

I hope this helped.

5 0
3 years ago
If triangle ABC defined by the coordinates A(1,1), B(9,1), C(1,9) is dilated by a scale factor of 1/2
alukav5142 [94]

Answer:

The transformed points of the triangle ABC are A' (x,y) = \left( \frac{1}{2}, \frac{1}{2}\right), B'(x,y) = \left(\frac{9}{2}, \frac{1}{2} \right), C'(x,y) = \left(\frac{1}{2}, \frac{9}{2}\right)

Step-by-step explanation:

The new points after applying the scale factor are, respectively:

A' (x,y) = \frac{1}{2}\cdot (1,1)

A' (x,y) = \left( \frac{1}{2}, \frac{1}{2}\right)

B' (x,y) = \frac{1}{2}\cdot (9,1)

B'(x,y) = \left(\frac{9}{2}, \frac{1}{2} \right)

C'(x,y) = \frac{1}{2}\cdot (1,9)

C'(x,y) = \left(\frac{1}{2}, \frac{9}{2}\right)

7 0
3 years ago
What is the domain?<br> What is the range?
almond37 [142]

Answer:

The domain of a function is the set of all possible inputs for the function. For example, the domain of f(x)=x² is all real numbers, and the domain of g(x)=1/x is all real numbers except for x=0. We can also define special functions whose domains are more limited.

The range is the difference between the largest and smallest numbers. The mid range is the average of the largest and smallest number.

Hope this helps!

8 0
3 years ago
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