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OverLord2011 [107]
3 years ago
11

Solve the inqualities 3x-3<9

Mathematics
1 answer:
pentagon [3]3 years ago
8 0

Answer: x < 4

Step-by-step explanation: When solving the inequality 3x - 3 < 9, just like an equation our first step is to isolate the <em>x</em> term which is 3x by adding 3 to both sides of the inequality.

On the left, -3 + 3 cancels and we have 3x.

Make sure to bring down the < sign.

On the right, 9 + 3 simplifies to 12.

So we have 3x < 12.

Now, divide both sides of the inequality by 3 to isolate <em>x</em>.

When we do that we get <em>x < 4</em>

So our answer is x < 4.

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I need answer Immediately pls!!!!!!
Illusion [34]

Given:

Total number of students = 27

Students who play basketball = 7

Student who play baseball = 18

Students who play neither sports = 7

To find:

The probability the student chosen at randomly from the class plays both basketball and base ball.

Solution:

Let the following events,

A : Student plays basketball

B : Student plays baseball

U : Union set or all students.

Then according to given information,

n(U)=27

n(A)=7

n(B)=18

n(A'\cap B')=7

We know that,

n(A\cup B)=n(U)-n(A'\cap B')

n(A\cup B)=27-7

n(A\cup B)=20

Now,

n(A\cup B)=n(A)+n(B)-n(A\cap B)

20=7+18-n(A\cap B)

n(A\cap B)=7+18-20

n(A\cap B)=25-20

n(A\cap B)=5

It means, the number of students who play both sports is 5.

The probability the student chosen at randomly from the class plays both basketball and base ball is

\text{Probability}=\dfrac{\text{Number of students who play both sports}}{\text{Total number of students}}

\text{Probability}=\dfrac{5}{27}

Therefore, the required probability is \dfrac{5}{27}.

3 0
2 years ago
A particular type of mold is growing 9.7% per hour. Assuming that mold growth continues at this rate and there were 14,000 spore
nydimaria [60]

Total mold spores at end of 9.30 am is 26901.

Step-by-step explanation:

Number of molds = 14000

Rate = 9.7% per hour

Number of hours = 12 am to 9.30 am =  9\frac{1}{2} hours

Growth of mold = 14000 * 9.7% * 9\frac{1}{2}

                            = 12901

Total mold spores at end of 9.30 am = 14000 + 12901

                                                                = 26901

Hence, the expected number of mold spores at 9.30 am is 26901.

7 0
3 years ago
Could someone please help me with this question? 15 points.
polet [3.4K]
1a) f(x) = I x+2 I. This is a piece-wise graph ( V form)
      x = 0 →f(x) =2 (intercept y-axis)
      x = -2→f(x) = 0 (intercept x-axis)
      x = -3→f(x) = 1 (don't forget this is in absolute numbers)
      x = -4→f(x) = 2 (don't forget this is in absolute numbers)
Now you can graph the V graph

1b) Translation: x to shift (-3) units and y remains the same, then
      f(x-3) = I x - 3 + 2 I = I x-1 I
     the V graph will shift one unit to the right, keeping the same y. Proof:
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8 0
3 years ago
Rotate the rectangle 90∘ clockwise about the cross
netineya [11]

Answer:

\large \boxed{\mathrm{view \ attachment}}

Step-by-step explanation:

The rectangle is rotated 90 degrees clockwise about the cross.

8 0
2 years ago
Ory rides his bike 5 miles due east and then 10 miles due north. How far is he from his starting
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Answer:

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Step-by-step explanation:

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