MATHEMATICS HIGH SCHOOL

Algebra 1 solve by elimination
6x-3y=30
6x+y=18

Answers

Answer 1
Answer: slimination

the teacher probably wants you to eliminate the x terms since there are an equal number of them

so multiply first equation by -1
-6x+3y=-30
add to second equation
6x-6x+3y+y=18-30
0x+4y=-12
4y=-12
divide by 4
y=-3
subsitute
6x+-3=18
add 3
6x=21
divide both sides by 6
x=21/6=7/2



x=7/2
y=-3
Answer 2
Answer: First, we need the coefficient of one of our variables to be the same.
In this case, it's already done for us. We have 6x in both equations.

Now, we just subtract the equations.
\ \ 6x-3y=30\n\underline{-6x+y=18}\n\overline{} \ \ \ \ -\ 4y=12\n\overline{} \ \ \ \ \ \ \ \ \ \ y=-3

Note that the subtraction distributes to each term of that equation.

(you can also do something similar by adding equations--as long as you get rid of of that variable...and if your coefficients aren't the same to begin with, just multiply both sides of one of those equations to get them equal.)

Now, we just use that y = -3 to find x.

6x+y=18\n6x-3=18\n6x=21\n\boxed{x=3.5}

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An order of 12 dozen rollerball pens and 5 dozen ballpoint pens cost $116. A later order 8 dozen rollerball pens and 12 dozen ballpoint pens cost $112. What was the cost of 1 dozen of pens?And how much does 1 dozen pencils cost?
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Olga buys tickets to a concert. She pays $27.75 for each ticket, plus handling fee of $5.50 for The order. The total cost is $144.25. Right and solve an equation to find out how many tickets,n,Olga bought

Answers

Answer: the number of tickets that Olga bought is 5

Step-by-step explanation:

Let x represent the number of tickets that Olga bought.

Olga buys tickets to a concert. She pays $27.75 for each ticket, plus handling fee of $5.50 for The order. This means that the total amount that Olga paid for x tickets would be

27.75x + 5.5

If the total cost is $144.25, the equation representing the situation would be expressed as

27.75x + 5.5 = 144.25

27.75x = 144.25 - 5.5

27.75x = 138.75

x = 138.75/27.75

x = 5

How are a trapezoid and a rectangle different

Answers

-- Both pairs of sides of a rectangle are parallel.
Only one pair of sides of a trapezoid are.

-- A rectangle is a parallelogram.
A trapezoid isn't.

-- The opposite sides of a rectangle are equal.
The opposite sides of a trapezoid aren't.

-- All of the angles of a rectangle are right angles.
The angles of a trapezoid aren't.

-- The area of a rectangle is the product of (length) times (width).
The area of a trapezoid is (height) times (the average of the two bases).


A trapezoid has two perpendicular sides, and a rectangle has 4 parallel sides. 

Round to the nearest whole number: 25.41
A. 26
B. 25.4
C. 25.5
D. 25

Answers

B and C cant be it because its not a whole number and it is .4 so it cant go up one making D the only possible choice.
D, 25, because if its less than 5, you keep the number the same, however, if its 5 and up, you round up.In this number the tens place contains a 4, so you have to round the same. In conclusion, 25.41 is rounded to 25, so your answer is D.

Example of a line that has no slope

Answers

when the rise of the line is 0 
example: rise= 0, run=4, rise=0, run=8
y=4 has absoluterly no slope at all, basically any x or y that is one certain number has no slope

Ozzie is 6 years older than McKenzie. Theo is Ozzie's dad and is 3 times older than McKenzie. Ozzie is 8 years old. How old is Theo?​

Answers

Answer:

If Ozzie is 8 and 6 years older than McKenzie, then McKenzie is 2 years old. So if Theo is 3 times older than McKenzie, then Theo is 6 years old.

Final answer:

Theo's age is calculated by multiplying McKenzie's age by 3. Given that McKenzie is 2 years old (Ozzie's age minus 6), so Theo is 6 years old.

Explanation:

The problem requires the application of basic arithmetic operations, specifically addition and multiplication, to solve an age problem. We know that Ozzie is 8 years old. Since Ozzie is 6 years older than McKenzie, we subtract 6 from Ozzie's age to get McKenzie's age, which is 2. Theo is 3 times older than McKenzie. Thus, to get Theo's age, we multiply McKenzie's age (2) by 3, which results in 6 years old.

Learn more about Age Problem here:

brainly.com/question/31414175

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The altitude of an equilateral triangle is 7 root 3 units long. The length of one side of the triangle is ____ units. A. 7
B. 14
C. 14 root 3
D. (7 root 3) /2

Answers

The altitude of an equilateral triangle:
h = s √3 / 2, where s is the length of one side of the triangle.
s √3 /2 = 7 √ 3   / : √3
s / 2 = 7
s = 7 * 2
s = 14 units
Answer:
B ) 14

Answer:

B ) 14

Step-by-step explanation:

The altitude of an equilateral triangle:

h = s √3 / 2, where s is the length of one side of the triangle.

s √3 /2 = 7 √ 3   / : √3

s / 2 = 7

s = 7 * 2

s = 14 units
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