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evablogger [386]
3 years ago
7

Nine times the sum of a number and 4 is 2

Mathematics
1 answer:
Anna11 [10]3 years ago
7 0

Answer(s):

If you are asking for the equation, it's 9(x+4)=2

However, if you're asking for the value of x as well, it's -34/9

Step by Step:

1) First we must find the equation. In your question, the unknown number is x. Therefore we can know that "the sum of a number and 4" is (x+4). Since we are multiplying this sum by 9, we can put the 9 in front of this expression to multiply it--getting 9(x+4). And since we know it "is 2" we can say that 9(x+4)=2.

2) Now, we have to solve the equation, 9(x+4) = 2

3) We can start by distributing, 9x+36 = 2

4) Now let's move 36 to the right by subtracting from both sides, 9x = -34

5) To isolate x, let's divide both sides by 9, x = -34/9

6) Our fraction answer can't be simplified, so we get x = -34/9

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A cone shaped paper water cup has a height of 12 cm and a radius of 6 cm. If the cup is filled with water to half its height, wh
monitta

Answer:

The portion of the volume of the cup that is filled with water is \frac{1}{8}

Step-by-step explanation:

step 1

Find the volume of the paper water cup

The volume of the cone is equal to

V=\frac{1}{3}\pi r^{2}h

we have

r=6\ cm

h=12\ cm

substitute

V=\frac{1}{3}\pi (6)^{2}(12)

V=144\pi\ cm^{3}

step 2

If the cup is filled with water to half its height, find out what portion of the volume of the cup is filled with water

Remember that

If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube

In this problem the similar cone has half the height of the complete cone

so

The scale factor is equal to 1/2

therefore

The volume of the cup that is filled with water is equal to the volume of the complete cup by the scale factor elevated to the cube

V=(1/2)^{3}(144\pi)=(1/8)144\pi\ cm^{3}

therefore

The portion of the volume of the cup that is filled with water is

\frac{1}{8}

8 0
3 years ago
Read 2 more answers
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Karolina [17]
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A factory can assemble 150 cars in 3 hours. At this rate, how many cars can be assemble in 8 hours?
Orlov [11]
To find this out first we will see how many cars they assemble in 1 hour. Lets do it:-

150 / 3 = 50
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50 * 8 = 400
400 cars in 8 hrs
 
CHECK OUR WORK;-
 
400 / 8 = 50
We were RIGHT!!
 
So, in 8 hrs the factory can assemble 400 cars.
 
Hope I helped ya!! xD
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3 years ago
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Answer:

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Step-by-step explanation:

3 0
3 years ago
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PLEASE HELP ME
MA_775_DIABLO [31]

Mean: $620, Mode: $600

Let's sort the rank stats.

First quartile: $580

Median: $610

Third quartile: $645

85th percentile: $685

OK, we're ready.  What happened to a and b?

c. $645 is the third quartile, 75th percentile.  That means 25% of the salaries are higher.

Answer: 25%

d.  $685 is the 85th percentile, 15% greater.

Answer: 15%

e.  The mean is the sum of all the salaries divided by the count.  

Mean = Sum / Count

So the sum is the count times the mean,

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