MATHEMATICS HIGH SCHOOL

Given rectangular prism ABCD. Choose all of the terms that best describe each of the sets of lines or points. Points D, G and J collinear intersecting parallel noncollinear noncoplanar

Answers

Answer 1
Answer:

Answer:

Step-by-step explanation:

The given parallelogram is attached.

First, we have to define some terms:

  • Collinear means that they are on the same line, non-collinear is the opposite.
  • Intersecting means that the point are touching each other, this apply to segments.
  • Parallel means that they will never intersect, because they have the same slope or inclination, this apply to lines also.
  • Coplanar means that points are in the same plane, non-coplanar is the opposite.

So, if we observe points D, G and J, from given options, they are non-collinear and non-coplanar, because they are not on the same line, nor plane.

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What is the fractional equivalent of 0.2666
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-7 2/3 +(-5 1/2) +8 3/4=
3t + 15 = 45. solve pls​

Clovis wants to make a surprise visit to his uncle who lives out of town. He purchases an airline ticket for $69. There is a 15% sales tax on the price of the airline ticket. In addition he must pay a baggage fee of $20. When he arrives at the airport, Clovis takes a taxi to his uncle's house which is 8 miles from the airport. The taxi fee is $2.50 per mile. If Clovis has spent a total of $123.35 for the airline ticket and taxi, at what percent of his fare did Clovis tip the taxi driver?

Answers

The percentage of Clovis fare which he tipped the driver is; 3.24%

Percentages

According to the question;

  • The expenses are as follows;

  • 69 + 0.15(69) + 20 + 2.5(8) = $119.35

Hence, the amount Clovis tipped the taxi driver is; $123.35 - $119.35 = $4.

Hence, the percentage of his fare which Clovis tipped the taxi driver is;

  • 4/123.35 × 100% = 3.24%

Read more on percentages;

brainly.com/question/24304697
So we add the different amounts:

69 + 0.15(69) + 20 +8(2.5)  + 20x = 123.35

69 + 10.35 + 20 + 20 + 20(x) = 123.35

79.35 + 40 + 20x = 123.35

119.35 + 20x = 123.35

20x = 4

x = 1/5, x= 0.20


Clovis tipped the driver 20% of the taxi fare.



Questions 55-57Solve each inequality for y.

55. a + y < b
56. a > y - b
57. 2(y + a) - y > a

Answers

Answer:

Y=3

Step-by-step explanation:

According to my calculations of my own business it will be the best way

PLEASE HELP Enter your answer and show all the steps that you use to solve this problem in the space provided. f ( x ) = 9 x 3 + 2 x 2 − 5 x + 4 and g ( x ) = 5 x 3 − 7 x + 4 . what is f ( x ) − g ( x ) ? Show all of your steps and write your final answer in factored form.

Answers

Answer:

= 2x²( 2x+ 1) + 2x

or

= 2x (2x² + x + 1)

Step-by-step explanation:

Given in the question two functions,

f ( x ) = 9x³ + 2x² − 5x + 4

g ( x ) = 5x³ − 7 x + 4  

To find,

f ( x ) − g ( x )

  Substitute each functions    

​= 9x³ + 2x² − 5x + 4 - ( 5x³ − 7 x + 4 )

  Remove parentheses                         ​

= 9x³ + 2x² − 5x + 4 -  5x³ + 7 x - 4

  Combine like terms and add them up

= 4x³ +  2x² + 2x

 Factorise  

= 2x²( 2x+ 1) + 2x

  or

= 2x (2x² + x + 1)

So the final answer in factored form is 2x²( 2x+ 1) + 2x or 2x (2x² + x + 1)

This can't be further factorise because answer will be in complex numbers

Find three consecutive even numbers whose sum is 96?

Answers

so consectuve even numbers

we know that one even number plus 2= another even number so we want to find 3 consecutive even numbers that add up to 96 or
x is the first number
x+2 is the second number
x+4 is the third number

x+x+2+x+4=96
3x+6=96
subtract 6 from both sides
3x=90
divide both sides by 3
x=30

the first number is 30
x+2=32=second number
x+4=34=third number

the numbers are 30,32,34
Let me show you how I like to do problems like this:

-- If I just needed three numbers that add up to 96, the easiest way
to do it would be to find 1/3 of 96 . That's 32, so the three numbers
could be 32, 32, and 32.

-- If you want three consecutive even numbers, just take 2 away from
one of those numbers, and add it on to a different one.

Now you have 30, 32, and 34, and you haven't changed their sum.

What is 6/10 plus 3/100

Answers

decimal form: 0.63
fraction form: (63)/(100)

Answer:

decimal form: 0.63

fraction form:  \frac{63}{100}

Step-by-step explanation:

3 goes after 6 and 100 replaces 10. For the decimal form you divide 63 by 100, which results in 0.63.

3 times the sum of the first and the third integer is equal to 30 more than 4 times the second integer

Answers

there should be many answer to this question.. like if the second number is 3 the first and third numbers can be 6,8/9,5/10,4/11,3/12,2/13,1
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