MATHEMATICS MIDDLE SCHOOL

Which of the following represents the inequality shown below when solved for x?−5x/8>14y/8

A. x>y
B. x<7/8y
C. x< -14/5y
D. x> -5/8y

Answers

Answer 1
Answer:

Answer:

Option C. x < -(14)/(5)y

Step-by-step explanation:

we have

-(5x)/(8) > (14y)/(8)

Solve for x

That means ---> isolate the variable x

Multiply by 8 both sides to remove the fractions

-5x>14y

Multiply by -1 both sides

Remember that

When you multiply or divide both sides of an inequality by a negative number, you must reverse the inequality symbol

5x<-14y

Divide by 5 both sides

x < -(14)/(5)y
Answer 2
Answer:

Answer:

C

Step-by-step explanation:

Because it just is

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Factor completely: 81x^4 – 1A. (9x + 1)(9x – 1)
B. (9x^2 + 1)(9x^2 – 1)
C. (3x^2 + 1)^3(3x – 1)
D. (9x^2 + 1)(3x + 1)(3x – 1)

Answers


Using this: a²-b²=(a+b)(a-b)

81x^4-1=

(9x²)²-1=

(9x²-1)(9x²+1)=      (in the bold half we use the formula again)

(3x+1)(3x-1)(9x²+1)

So the answer is D
81x^4-1=\n(9x^2)^2-1^2=\n(9x^2+1)(9x^2-1)=\n(9x^2+1)((3x)^2-1^2)=\n(9x^2+1)(3x+1)(3x-1)

With respect to air safety, in which year between 1950 and 1976 did the highest number of air fatalities occur, and how many passengers were killed in that year?

Answers

The year in the given range with the highest number of passengers killed is
  1974
The number of passengers killed that year was
  1301

Answer: In 1972, there was the highest number of air fatalities occur in which 1210 passengers were killed.

Step-by-step explanation:

Since we have given the table:

With respect to air safety,

In between 1950 and 1976,

The highest number of air fatalities occur in 1972 i.e. 42 which is the highest amongst the all.

The number of passengers were killed in that year = 1210.

Hence, In 1972, there was the highest number of air fatalities occur in which 1210 passengers were killed.

If I estimate 676,295 what would it be

Answers

this might be the answer I hope
the answer would be 700,000

What is the greatest common factor of 30 and 45

Answers

So to find the Greatest Common factor we need to list the factors of 30 and 45.

30: 1,2,3,5,6,15,30
45: 1,3,5,9,15,45

As you can see the greatest factor of BOTH of them is 15 so The Greatest Common Factor of 30 and 45 is 15! Hope I helped you with your question! Have a great day! =)
when you find the (gcf) you start like putting each others factors together trying to see, if there are any same numbers, you keep piling, and when you come up to the biggest you can get up to, then that is your answer! if you do this one correctly, you should get the answer as 15
the answer would be 15.
Hope that this would help you! =)

The GCF two numers is a composite number. Always, sometimes or never true?

Answers

Answer:

Sometimes

Step-by-step explanation:

A Composite number is the number which is not prime except 1. Hence, it has factors other than 1 and itself.

GCF is a greatest common factor i.e. the greatest factor that divides two numbers.

The GCF of two numbers can be composite number.

Example:

GCF of 8 and 24 = 8 which is a composite number.

GCF of 6 and 21 = 3 which is not a composite number.

Thus, GCF two numbers is sometimes a composite number.
The GCF of two numbers is sometimes a composite number. 

A rectangle an an area of 30 square meters anda has dimensionsperimeter of 34 meters. What are the of the rectangle

Answers

The sides of the rectangle are:
xy = 39
2x + 2y

Solve by simultaneous equation:
ysquared -17y + 30 = 0


Solution:
The sides are equal to 15 and 2
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