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Solnce55 [7]
3 years ago
7

on the blueprint of the house 44 millimeters represents 8 meters. the length of the living room is 33 millimeters on the bluepri

nt. what is the actual length of the living room?
Mathematics
1 answer:
Scilla [17]3 years ago
6 0
So if 44=8 and 33=x, solve for x. 
The problem would look like this : 44mm = 8m
                                                      33mm =  x
You would cross multiply giving you this : 44x = 264
Then divide 264 by 44 to isolate x, then you should get this : x = 6
6m will be your answer.
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How many arrangements of the seven letters in the word SYSTEMS have the E occurring somewhere before the M? How many arrangement
Snezhnost [94]

Answer: 720ways, 24ways

Step-by-step explanation:

Given the seven letter words "SYSTEMS", if E is always occurring before M it means E and M will always be together therefore they letter 'EM' will be taken as an entity to five us 6letters i.e SYST(EM)S.

This can then be arranged in 6!ways

6! = 6×5×4×3×2×1 = 720ways

Similarly, if the E somewhere before the M and the three Ss grouped consecutively, this means E and M must always be together as well as the Ss to give (SSS)YT(EM).

This means that the letters in the bracket can be taken as an entity to give a total of 4 entities. This can them be arranged in 4! ways.

4! = 4×3×2×1

4! = 24ways

5 0
3 years ago
Write the equation of a line that passes through point (2,3) and (0,9).
11Alexandr11 [23.1K]

Slope-intercept form:

y = mx + b        

"m" is the slope, "b" is the y-intercept (the y value when x = 0) or (0,y)


To find "m", you can use the slope formula and plug in the two points:

(2,3) = (x₁ , y₁)

(0,9) = (x₂ , y₂)


m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

m=\frac{9-3}{0-2}

m=\frac{6}{-2}

m = -3


y = -3x + b

To find "b", you can plug in one of the points into the equation (however they already gave you the y-intercept (0,9) or 9)


(2,3)

y = -3x + b

3 = -3(2) + b

3 = -6 + b

9 = b


y = -3x + 9


3 0
3 years ago
4 sin(2x) = 4 cos(x)
Virty [35]
Its simple check symbolab.com

8 0
3 years ago
Convert the fraction 4/5 to a decimal.<br> SHOW WORKING.
astraxan [27]

Answer:

The answer is 0.8

Step-by-step explanation:

\:  \:  \:  \:  \:  \: 0. 8\\ 5 \sqrt{40}  \\  - 40 \\ 0

Thus, The answer is 0.8

<u>-TheUnknownScientist 72</u>

8 0
2 years ago
What is the range of the function y = RootIndex 3 StartRoot x + 8 EndRoot?
AlladinOne [14]

Answer:

- ∞ < y < ∞

Step-by-step explanation:

The given function is, y = \sqrt[3]{x + 8}.

Now, the origin function of this above function is, y = \sqrt[3]{x} which has real y-values as output for all real x-values input.

Hence, the function y = \sqrt[3]{x + 8} will ba valid for all real values of x and will have real y-value corresponding to each x-value.

Therefore, the range of this function i.e. the y-value of this function will be  

- ∞ < y < ∞. (Answer)

7 0
3 years ago
Read 2 more answers
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