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STatiana [176]
3 years ago
5

The length of a rectangle is 12 cm more than its width. Find the

Mathematics
1 answer:
just olya [345]3 years ago
5 0

Dimensions of the rectangle (width and length) are 19 cm and 31 cm respectively.

Step-by-step explanation:

  • Step 1: Given that the perimeter = 100 cm, let width be x cm and then length = 12 + x.

Perimeter of a rectangle = 2(length + width)

100 = 2(x + 12 + x)

100 = 4x + 24

4x = 100 - 24 = 76

∴ x = 76/4 = 19 cm

∴ Length = 19 + 12 = 31 cm

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-3x-4(x-1)=5(2x+1)+6x
Firdavs [7]

Answer:

x = (-1)/23

Step-by-step explanation:

Solve for x:

-3 x - 4 (x - 1) = 5 (2 x + 1) + 6 x

-4 (x - 1) = 4 - 4 x:

4 - 4 x - 3 x = 5 (2 x + 1) + 6 x

Grouping like terms, -3 x - 4 x + 4 = 4 + (-3 x - 4 x):

4 + (-3 x - 4 x) = 5 (2 x + 1) + 6 x

-3 x - 4 x = -7 x:

-7 x + 4 = 5 (2 x + 1) + 6 x

5 (2 x + 1) = 10 x + 5:

4 - 7 x = 10 x + 5 + 6 x

Grouping like terms, 10 x + 6 x + 5 = (10 x + 6 x) + 5:

4 - 7 x = (10 x + 6 x) + 5

10 x + 6 x = 16 x:

4 - 7 x = 16 x + 5

Subtract 16 x from both sides:

4 + (-7 x - 16 x) = (16 x - 16 x) + 5

-7 x - 16 x = -23 x:

-23 x + 4 = (16 x - 16 x) + 5

16 x - 16 x = 0:

4 - 23 x = 5

Subtract 4 from both sides:

(4 - 4) - 23 x = 5 - 4

4 - 4 = 0:

-23 x = 5 - 4

5 - 4 = 1:

-23 x = 1

Divide both sides by -23:

Answer:  x = (-1)/23

6 0
3 years ago
PLZ HELP!!! WAHHH >n
Nana76 [90]
What is your question?
5 0
2 years ago
Read 2 more answers
50 POINTS!!!!!!
spin [16.1K]
Answer:
The experimental probability is 1/6, and the theoretical probability is 1/4. The theoretical probability is greater than the experimental probability in this trial.
-------------------
Explanation:

Theoretical probability is the mathematically calculated probability of the circumstances occurring. 

There is a 1/2 chance of rolling an even number, and a 1/2 chance of flipping a coin on heads.

Since the question asks for the possibility of both happening, multiply those together to find the probability:

\frac{1}{2} *   \frac{1}{2} =  \frac{1}{4}

The theoretical probability of rolling an even number and then flipping a head is 1/4.

Now we'll focus on Taka's trials.

Experimental probability is the probability that is taken from results of a trial.

Take the results, and see if they match the criteria of rolling an even number and flipping heads.

The results that are bolded fit the criteria:
<span>1 H, 4 T, 1 H, 5 T, 2 H, 3 T, 6 T, 2 H, 3 T, 5 T, 3 H, 4 T
</span>
Taka managed to roll and flip the coin to fit the criteria 2 times out of 12. Converted into a fraction, it is 2/12. Simplified, the experimental probability is 1/6.
3 0
3 years ago
On a separate sheet of paper, graph the function. In the answer box, describe the function.
Mumz [18]

Answer:

Step-by-step explanation:

Given piecewise function is,

f(x) = -5x + 2 If x < 2

         2x - 2 If x ≥ 2

For f(x) = -5x + 2 If x < 2,

Graph of this piece will be a straight line with slope = -5 and y-intercept = 2

For f(x) = 2x - 2 If x ≥ 2,

Similarly, Graph of the second piece of the function will be a straight line with slope = 2 and y-intercept = -2.

By using the graphing tool we can draw the graph of the piecewise function given.

5 0
2 years ago
Ifthe fish commission states that the mean length of all fish in spring run is mean =15cm,withthe standard deviation of variance
Andrei [34K]

Answer:

Step-by-step explanation:

z(lower) = (15-15)/4 = 0

z(upper) = (19-15)/4= 1

z  at  0 = .5

z at  1 = 0.841344746

(look these up in a Z table)

probability "between" = 0.841344746 - .5 = 0.3841344746

4 0
3 years ago
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