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3 years ago

What is the x? 4x+50=150

Mathematics

2 answers:

swat323 years ago

8 0

Answer:

x = 25

Step-by-step explanation:

Given

4x + 50 = 150 ( subtract 50 from both sides )

4x = 100 ( divide both sides by 4 )

x = 25

Reptile [31]3 years ago

6 0

Answer: x = 25

Step-by-step explanation: To solve for x in this equation we must first undo what's being done and we must do the same thing to both sides. In addition, you will be using the reverse order of operations.

The first thing that I am going to undo is what I am adding to the variable. So to undo the +50, I will subtract 50 from both sides of the equation to keep the equation balanced.

The 4x remains on the left side, the 50 - 50 cancels out so we're just left with 4x on the left side of the equation. On the right side of the equation, 150 - 50 is 100.

So rewriting our equation, we have 4x = 100.

To undo our multiplication we will divide both sides by 4.

4x divided by 4 just gives us the x leftover and 100 divided by 4 is 25.

So we have x = 25 which is the solution to our equation.

If we want to check to make sure our answer is correct, we replace x in our original equation with 25.

So we have 4(25) + 50 = 150.

Multiplying on the left we get 100 + 50 = 150 or 150 = 150.

Since this is a true statement, we know our answer is correct.

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Answer:

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Step-by-step explanation:

For each pound, the charge is $40. There are 50 such charges. The point of multiplication is to simplify the process of repeated addition.

... 50 × $40 = $2000

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Answer:

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3 years ago

Suppose that the distribution of typing speed in words per minute (wpm) for experienced typists using a new type of split keyboa

KengaRu [80]

Answer:

a. 0.5 or 50%

b. 0.496 or 49.6%

c. 0.8185 or 81.85%

d. Yes, it would be just 0.0013 or 0.13% of probability to find a typist whose speed exceeds 105 wpm

e. 0.0252 or 2.52%

f. The qualifying speed would be 47.4 wpm.

Step-by-step explanation:

a. Let's find the z-score this way:

μ = 60 σ= 15

z-score = (x - μ)/σ

z-score = (60 - 60)/15

z-score = 0

Now, let's calculate the p value for z-score = 0, using the z-table:

p (z=0) = 0.5 or 50%

b. z-score = (x - μ)/σ

z-score = (59.9 - 60)/15

z-score = -0.01

Now, let's calculate the p value for z-score = -.0.01, using the z-table:

p (z = -0.01) = 0.496 or 49.6%

If the question were less or equal than 60, a and b would have the same answer. But in this case, the question is "less than 60 wpm".

z-score = (x - μ)/σ

z-score = (45 - 60)/15

z-score = - 1

Now, let's calculate the p value for z-score = -1, using the z-table:

p (z = -1) = 0.1587

z-score = (x - μ)/σ

z-score = (90 - 60)/15

z-score = 2

Now, let's calculate the p value for z-score = 2, using the z-table:

p (z = 2) = 0.9772

In consequence,

p (-1 ≤ z ≤ 2) = 0.9772 - 0.1587 = 0.8185 or 81.85%

d. z-score = (x - μ)/σ

z-score = (105 - 60)/15

z-score = 3

Now, let's calculate the p value for z-score = 3, using the z-table:

p (z = 3) = 0.9987

In consequence,

p (z > 3) = 1 - 0.9987 = 0.0013

Yes, it would be just a 0.13% of probability to find a typist whose speed exceeds 105 wpm.

e. z-score = (x - μ)/σ

z-score = (75 - 60)/15

z-score = 1

Now, let's calculate the p value for z-score = 1, using the z-table:

p (z = 1) = 0.8413

In consequence,

p (z > 1) = 1 - 0.8413 = 0.1587

and if the two typists are independently selected, then

p = 0.1587 * 0.1587

p = 0.0252 or 2.52%

f. p = 0.2, using the z-table, the z-score is -0.84, then:

z-score = (x - μ)/σ

-0.84 = (x - 60)/15

-12.6 = x - 60

-x = -60 + 12.6

-x = - 47.4

x = 47.4

The qualifying speed would be 47.4 wpm.

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kirill115 [55]

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...<..> ...

Then,

8π ________ 2π <= 360°

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3 years ago

Read 2 more answers