MATHEMATICS HIGH SCHOOL

Which best describes the solution set for the compound inequality below? (pick the best answer)2(x + 7) – 1 > 15 or 3(x + 2) < 2x + 7
A. no solution
B. x = 1
C. all real numbers except x = 1
D. all real numbers

Answers

Answer 1
Answer: 2(x + 7) - 1 > 15                 3(x + 2) < 2x + 7
2x + 14 - 1 > 15                  3x + 6 < 2x + 7
2x + 13 > 15                       3x - 2x < 7 - 6
2x > 15 - 13                        x < 1
2x > 2
x > 2/2
x > 1

so, x > 1 OR x < 1.....all real numbers except 1
Answer 2
Answer:

Answer:

C is your answer

Step-by-step explanation:

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Cutting a 4 foot ribbon into 7 equal parts, how long is each piece

Answers

The length of each piece will be 4/7 or 0.57
each piece would be 6.86 inches long.
pretty short must have ment the person had short hair :)

Which is the solution to the equation 3.5 (2 h + 4.5) = 57.75? Round to the nearest tenth if necessary.

Answers

Answer:

h = 6

Step-by-step explanation:

Step 1: Distribute

7h + 15.75 = 57.75

Step 2: Subtract 15.75 on both sides

7h = 42

Step 3: Divide both sides by 7

h = 6

Which equation can be used to model simple harmonic motion? A. d=acos[w(t+k)] B. d=acos(wt) C. d=asin(wt)+k D. d=sin(awt)

Answers

B. d=acos(wt)
Hope it helps

Answer:

Correct option is B.

Step-by-step explanation:

Given some equations we have to choose the equation which can be used to model simple harmonic motion.

The basic equation for simple harmonic motion are

x = acos(wt)  and x=asin(wt)

where x is displacement from resting position,  

a is the amplitude, which is the largest displacement the object experienced, w is the angular velocity or angular frequency and t is the time.

From the given options B option matches i.e

d=acos(wt)

is the equation can be used to model simple harmonic motion.

So, correct option is B.

What is 1/8 in percentage

Answers

12.5%

I hope I helped please leave thanks
That would be 12.5%. All you have to do is divide 100 by 8.

If the rate 30 hot dogs per 5 minutes is reduced to a unit rate, the result is . Do not include units in your answer.

Answers

The notion of a unit rate is how much will happen in a unit of measurement. The question indicates there are 30 hotdogs in a total of 5 minutes, averaging 6 hotdogs per minute, or .1 hotdogs per second. This is done by dividing the total into equal 'chunks' of that unit of time.The question therefore does not make sense to "not include units".
I think it would be 6 hotdogs per 1 minute. Because that's a rate, and rates can be written as fractions,and fractions are division problems, so 30 divided by 5 is 6.

Simplify 8d-6e - 3d + 4e.

Answers

Answer: 5d-2e

Step-by-step explanation:

To solve this equation, we have to combine like terms. In this equation, we have two like terms, terms with the variable e, and terms with the variable d. So to combine the terms, we have to perform arithmetic operations.

In this case we only have to add and subtract.

So, -6e+4e=-2e (-6+4=2)

And, 8d-3d=5d (8-3=5)

Therefore, our answer is 5d-2e.

Hope that helped

:)
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