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2 years ago

Solve for x. Reduce any fractions to lowest terms. Don't round your answer, and don't use mixed fractions. 54x+64 49x + 59

Mathematics

1 answer:

never [62]2 years ago

7 0

Answer:

x=-1

Step-by-step explanation:

54x+64=49x+59

subtract 64

54x=49x-5

subtract 49x

5x=-5

divide by 5

x=-1

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Four hundred nine thousandths in decimal form

Vera_Pavlovna [14]

Step-by-step explanation:

409.000

^^^ have a nice day!!

4 0

3 years ago

The 20 tallest buildings in the world have an average height of 1,667.25 feet, with a standard deviation of 318.31 feet. The Zif

valentina_108 [34]

Answer:

Marina, Wuhan center, Zifeng Tower , Shangai Tower

Step-by-step explanation:

Using the z-scores of the Shangai tower and the Marina, we can calculate their heights

Mathematically, the z-score or standard score can be calculated as follows

Zscore = X - μ/σ

where σ and μ represents the standard deviation and the population mean respectively.

For Shaghai Tower ;

1.27 = (X - 1667.25)/318.31

318.31 × 1.27 = X - 1667.25

404.25 = X - 1667.25

X = 1667.25 + 404.25 = 2071.50

The height of the Shaghai Tower is 2071.50 feet

For Marina, we use the same procedure;

-0.84 = (X - 1667.25)/318.31

318.31 × -0.84 = X - 1667.25

-267.38 = X - 1667.25

X = 1667.25 - 267.38 = 1399.87

The height of Marina building is 1399.87

Listing the buildings' height in ascending order we have; Marina, Wuhan center, Zifeng Tower , Shangai Tower

The reasoning behind this can be mathematically explained in terms of the z-score. The standard score of the heights of the building give us an insight as to how tall the buildings can be.

Since they are in the same population i.e building heights, the higher the z-score, the higher the height of the building. A positive z-score indicates a height taller than the average while a negative z-score indicate a height lower than the average height which is the mean

6 0

2 years ago

Last week, Gina's art teacher mixed 9 pints of red paint with 6 pints of white paint to make pink. Gina mixed 4 pints of red pai

cricket20 [7]

No, in order to do the correct ratio she would have needed to add 4.5 pints to 3 pints because if you divide 9:6 by 2 it is 4.5:3 not 4:3

6 0

3 years ago

Find the greatest common factor of 12and 36

Xelga [282]

12:(3)(2)(2)
36:(3)(3)(2)(2)
GCF:12

8 0

3 years ago

Read 2 more answers

Manny can assemble a computer by himself in 50 minutes. Lucy does the same job in 45 minutes. How long will it take to assemble

jonny [76]

Manny can assemble a computer in 50 minutes. That means, in a minute Manny does $\frac{1}{50}$ job.

Lucy can assemble a computer in 45 minutes. That means, in a minute Lucy does $\frac{1}{45}$ job.

If they are working together, in a minute they will do:
$\dfrac{1}{50} + \dfrac{1}{45}$
$= \dfrac{9}{450} + \dfrac{10}{450} \text{(equalize the denominator)}$
$=\dfrac{19}{450}$
In a minute they will do $\frac{19}{450}$ job

To finish the job they will do it in $\frac{450}{19}$ minutes or about 24 minutes.

5 0

3 years ago