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Naily [24]
2 years ago
4

A point lies on AB¯¯¯¯¯ and is located 3/7 the distance from A to B. What are the coordinates of the point? (4,​ 3) (7,​ 3) (9,​

3) (12,​ 3)
Mathematics
1 answer:
Akimi4 [234]2 years ago
6 0

Answer:

(4,3)

Step-by-step explanation:

This doesn't even take any math really, just deductive reasoning :)

We know the line segment stretches from one to 15, meaning there are 14 points on the line as there is (1,2,3, etc.)

14/2 obviously equals 7, so just plug it in from there.

12 is too far up on the line to be less than half, so (12, 3) is wrong

^ this goes for (9, 3) as well

7 is literally the halfway marker, so there is no way it could be (7, 3)

Making the answer (4, 3) because not only is it the last one remaining but it makes the most sense, being less than one half of the segment

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If 10x + 2 = 7, what is the value of 2x?
Julli [10]

For this case we have the following equation:

10x + 2 = 7

From here, we clear the value of x.

We have then:

10x = 7-2\\10x = 5\\x = \frac {5} {10}\\x = \frac {1} {2}

Then, we look for the value of 2x. We have then:

2x = 2 \frac {1} {2}\\2x = \frac {2} {2}\\2x = 1

Answer:

The value of 2x is given by:

2x = 1

6 0
2 years ago
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Select the correct answer from each drop-down menu. A self-service car wash charges $4 for the initial 5 minutes plus an additio
arlik [135]

Answer: For m\geq15

\\\Rightarrow\ y=4+0.75(m-5)\geq4+0.75(15-5)\\\Rightarrow\ y\geq4+0.75(10)\\\Rightarrow\ y\geq4+7.5\\\Rightarrow\ y\geq11.5

Nick does not has enough money to follow this recommendation.

Step-by-step explanation:

Given: A self-service car wash charges $4 for the initial 5 minutes plus an additional $0.75 for each minute after that.

Let y be the cost for car wash for m minutes then

y=4+0.75(m-5) such that at m= 5 , y=4 which is the cost for car wash (dollars) for first 5 minutes.

Also, A car enthusiast magazine recommends spending at least 15 minutes to properly wash a car.

For m\geq15

\\\Rightarrow\ y=4+0.75(m-5)\geq4+0.75(15-5)\\\Rightarrow\ y\geq4+0.75(10)\\\Rightarrow\ y\geq4+7.5\\\Rightarrow\ y\geq11.5

But Nick has $10 which is less than $11.5, so he does not has enough money to follow this recommendation.

7 0
2 years ago
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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

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6 0
2 years ago
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Answer: 2 markers.

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3. But the number of marker each one teacher has can't be a decimal number, so this number must be: 3 markers for each teacher.

3. The number of markers that will be left over is:

17 markers-(5*3 markers)=2 markers

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The answer is 
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