MATHEMATICS HIGH SCHOOL

What fraction lies exactly halfway between 2/3 and 3/4 ?a) 3/5
b) 5/6
c) 7/12
d) 9/16
e) 17/24

Answers

Answer 1
Answer: In the problem above, we are asked for the average of the two given fractions. First, add the fractions. The addition, 2/3 + 3/4 will give an answer of 17/12. Next, divide the sum by 2. This will give an answer of 17/24. Thus, the answer is letter E.

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The cubic parent function y=x^3 contains the point (2,8). If the function reflected over the x-axis and shifted right 6 units, what are the coordinates of the new point

Answers

Answer:

The new coordinate are (8,-8)

Step-by-step explanation:

Whenever a graph is reflected about the x-axis, positive y values become negative and vice versa. In this case positive y(8) becomes negative (-8). While the x values remain unchanged.

So the coordinates when moving by one unit will be (2,-8)

Shifting it 6units to the right increases the x values by six to give the new coordinates which is (8,-8)

Solve and verify each of the following of linear eequations

2X+3y=432 and 5x-2y=16

Answers

There are 3 available methods- Substitution , Elimination and Matrix. 

To solve this linear equations lets use Matrix's.  

\left[\begin{array}{ccc}2&3&432\n5&-2&16\n\end{array}\right] 

\left[\begin{array}{ccc}2&3&432\n0&-19/2&-1064\n\end{array}\right] 

\left[\begin{array}{ccc}2&3&432\n0&1&112\n\end{array}\right] 

\left[\begin{array}{ccc}2&0&96\n0&1&112\n\end{array}\right]  

\left[\begin{array}{ccc}1&0&48\n0&1&112\n\end{array}\right] 

x=48 

y=112
2x+3y=432 becomes y=-2/3x+144 and 5x-2y=16 which becomes y=5/2x-8

John has two open packs of paper. One pack has 31 pieces of paper. The second pack has 45 pieces of paper. How many pieces of paper does John have all together?

Answers

Hey, Taelyr123!
Pack 1=31
Pack 2=45
31+45=76 pieces of paper!
I hope this helps:)

Answer:

76

Step-by-step explanation:

76 is correct. "All together" indicates addition.

A soccer player takes six penalty kicks ina game. Each attempt results in a goal or
a miss.

Answers

Answer:

Whats the question?

Step-by-step explanation:

What are you asking

Lane saved $8 by bying her video game on sale.if the game was on sale for 25% off hte original price, whats the original price of the game

Answers

Well if she saved $8 for buying it on 25% off, and since 25% = 25/100 = 1/4, you do 8/(1/4) = 8(4) = 32

Is 4 kilograms is egual to 4000mgs

Answers

No.
So, there are 1000 milligrams in one gram, making the 4000 mgs equal to 4 grams.
There are 1000 grams in one kilogram, so 4 kilograms is equal to 4000 grams.

4000 =/= 4
So, 4 kilograms and 4000 milligrams are not equal.
4000Mgs is not equal to 4 kilograms. 4000 Mgs is 4 grams, which is 0.004Kilograms. Hence, 1 milogram is 1x10^-6 Kilograms.
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