MATHEMATICS HIGH SCHOOL

Solve the linear equation 2.25 – 11j – 7.75 + 1.5j = 0.5j – 1.

Answers

Answer 1
Answer: 2.25-11j-7.75+1.5j=0.5j-1 -5.5-9.5j=0.5j-1 10j=-4.5 j=-0.45=9/20
Answer 2
Answer:

Answer:

j = –0.45

Step-by-step explanation:

just got it right

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Identify the properties used for the first two steps in simplifying 6ab2 + 4a - 3ab2 +3a²b-2a²b2.6ab2-4a²b-3ab2+3a²b-2a²b2 = 4a²b+3a²b-3ab2+6ab2-2a²b2
= (4+3)a²b+(-3+6)ab2-2a²b2
= 7a+b+3ab2-2a²b2

Answers

Answer:

  • commutative property of addition
  • distributive property

Step-by-step explanation:

6ab²+4a²b-3ab²+3a²b-2a²b²

= 4a²b+3a²b-3ab²+6ab²-2a²b² . . . commutative property of addition (twice)

= (4+3)a²b+(-3+6)ab²-2a²b² . . . . . . distributive property (twice)

= 7a²b+3ab²-2a²b²

_____

We have attempted to correct what we perceive to be typographical errors in the presentation of the problem. As written, you can't get to the second expression from the first, and the first expression doesn't match what you say you're trying to simplify.

if a number is a natural number, then it is also a whole number? what is the Inverse, the Converse, the Contrapositive, and the Bi-Conditional? and what is the Truth value for each one?

Answers

     I believe you're learning geometry. Anyways, here are examples of natural numbers: 1, 2, 3... Meanwhile, here are examples of whole numbers: 0, 1, 2, 3... Natural numbers are all the positive whole numbers. Whole numbers are quantities that are both positive and neutral, and don't include any fractions or decimals. 

On Friday, Kelsey went to a local carnival. She bought a pretzel for $5 and played three games. On Saturday, Kelsey went back to the carnival and bought an ear of corn for $3 and played five games. If all the games cost the same amount to play, and Kelsey spent the same amount of money each day, how much does each game cost to play?A $1.00
B $1.25
C $1.50
D $2.00

Answers

set the question up as an equation, where x is equal to the cost of a game
FRIDAY: 5+3x
SATURDAY: 3+5x

∴ 5+3x=3+5x
   2=2x
   x=1
Therefore the cost of 1 game is $1
The best answer is A since each game cost the same amount and she spent the same amount both days, u can just add the number of games for the first day which is 3 with $5 and get $8.and for the second day just add  $3 with $5 and u get $8 again.

For the following data distribution, find the value that best defines the central tendency of the distribution and characterize the distribution.{23, 29, 12, 14, 27, 23, 23, 18, 23, 1, 7, 18, 43, 24, 28, 17, 32, 33, 38}

Answers

To characterize the distribution, the data have to be put into a frequency distribution graph.

After graphing the data, the distribution is a bit skewed to the right although it could be considered symmetrical.
Here are the values that define the central tendency:
mean = 22.79
median = 23
mode = 23

The three are almost equal. So, the distribution can be classified as symmetrical.

Answer:

Step-by-step explanation:

The given data set is:

23, 29, 12, 14, 27, 23, 23, 18, 23, 1, 7, 18, 43, 24, 28, 17, 32, 33, 38

firstly arrange the given data set in ascending order, we have

1, 7, 12, 14, 17, 18, 18, 23, 23, 23, 23, 24, 27, 28, 29, 32, 33, 38, 43

Now, Mode is the observation point which occurs frequently in the given data set, thus

Mode=23

Mean is given as:

Mean=(sum of observations)/(total no. of observations)

Mean=(433)/(19)=22.7

Mean≈23

Median of the given data set is the middle value of the given set, thus

Median=23

Hence, the value that would best describe the central tendency is 23. Since, the values to the left of 23 are more scattered than those to its right, the distribution exhibits negative.

Angle b measures 60°. what is the measure of angle that is complementary to angle B?

Answers

Solutions 

Complementary angle are two angles whose sum is 90°. We know that Angle b measures 60°. 

60° + (X) = 90° 

90° - 60° = (X) 

90° - 60° = 30° 

(X) = 30° 

30° complementary to Angle B
Since a complementary angle is two angles that equal 90 degrees the compliment of angle B would be 30 degrees since 60+30 = 90.

What is the ratio 17/51 in simplest form?

Answers

Since 51 is equal to 3 multiplied by 17, the smallest ratio is 1/3 
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