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3 years ago

7

A big group of people are taking the train home for Christmas. 19 people get off the train in Brooklyn, 17 people then get on. N

ow there are 63 people on the train. How many were there to begin with?

1 answer:

Lana71 [14]3 years ago

5 0

There was 65 people to begin the train ride

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A patient is instructed to take three 50-mcg tablets of pergolide mesylate (Permax) daily. How many milligrams of the drug would

Black_prince [1.1K]

Answer:

The patient would receive 1.05mg of the drug weekly.

Step-by-step explanation:

First step: How many mcg of the drug would the patient receive daily?

The problem states that he takes three doses of 50-mcg a day. So

1 dose - 50mcg

3 doses - x mcg

x = 50*3

x = 150 mcg.

He takes 150mcg of the drug a day.

Second step: How many mcg of the drug would the patient receive weekly?

A week has 7 days. He takes 150mcg of the drug a day. So:

1 day - 150mcg

7 days - x mcg

x = 150*7

x = 1050mcg

He takes 1050mcg of the drug a week.

Final step: Conversion of 1050 mcg to mg

Each mg has 1000 mcg. How many mg are there in 1050 mcg? So

1mg - 1000 mcg

xmg - 1050mcg

1000x = 1050

$x = \frac{1050}{1000}$

x = 1.05mg

The patient would receive 1.05mg of the drug weekly.

6 0

3 years ago

the initial vertical velocity of a rocket shot straight up is 42 meters per second. How long does it take for the rocket to retu

Snowcat [4.5K]

It takes 4.3 seconds for the rocket to return to earth.

The equation is:
$0=-9.8t^2+v_0t+h_0$
where -9.8m/sec² is the acceleration due to gravity, v₀ is the initial velocity, and h₀ is the initial height. We will go from the assumption that the rocket is launched from the ground, so h₀=0, and we are told that the initial velocity, v₀, is 42. This gives us:

$0=-9.8t^2+42t$

We will use the quadratic formula to solve this. The quadratic formula is:
$x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

Plugging in our information we have:
$t=\frac{-42\pm \sqrt{42^2-4(-9.8)(0)}}{2(-9.8)}
\\
\\=\frac{-42\pm \sqrt{1764-0}}{-19.6}
\\
\\=\frac{-42\pm \sqrt{1764}}{-19.6}
\\
\\=\frac{-42\pm 42}{-19.6}=\frac{-42-42}{-19.6} \text{ or } \frac{-42+42}{-19.6}
\\
\\=\frac{-84}{-19.6}\text{ or }\frac{0}{-19.6}
\\
\\=4.3\text{ or }0$

x=0 is when the rocket is launched; x=4.3 is when the rocket lands.

8 0

3 years ago

What’s the answer ?

elena-14-01-66 [18.8K]

Answer:

It is 9x^3.

Step-by-step explanation:

36x^4 and 45x^3.

GCF of 36 and 45 = 9

GCF of x^4 and x^3 = x^3

GCF of 36x^4 and 45x^2 = 9x^3.

7 0

3 years ago

PLEASE HELP ASAP 25 POINTS GOOD ANSWERS ONLY!

timama [110]

Answer:

128

Step-by-step explanation:

6 0

2 years ago

The figure shows two intersecting lines and measures of the resulting angles write an equation to help you solve for x , then fi

ehidna [41]

<u>Given</u>:

Given that two lines are intersecting at the point.

The angles (3x - 8)° and (2x + 12)° are the angles formed by the intersection of the two lines.

We need to determine the equation to solve for x and the value of x.

<u>Equation:</u>

The two angles (3x - 8)° and (2x + 12)° are vertically opposite. Hence, the vertically opposite angles are always equal.

Hence, we have;

$3x-8=2x+12$

Hence, the equation is $3x-8=2x+12$

<u>Value of x:</u>

The value of x can be determined by solving the equation $3x-8=2x+12$

Thus, we have;

$3x-8=2x+12$

Subtracting both sides of the equation by 2x, we get;

$x-8=12$

Adding both sides of the equation by 8, we get;

$x=20$

Thus, the value of x is 20.

Hence, the equation and the value of x are $3 x-8=2 x+12 \ and\ x=20$

Thus, Option D is the correct answer.

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3 years ago