MATHEMATICS HIGH SCHOOL

Simultaneous Equations
2x+4y=22
2x+2y=15

Answers

Answer 1
Answer:

Answer:

x = 4

y = (7)/(2)

Step-by-step explanation:

Ummmm

I'm not sure if this is corrrect but this is what I got

So first you solve 2x+4y=22 to find x

and you get x = -2y+11

Then you have to subtitute -2y+11 for x in 2x+2y=15

which you then get y= (7)/(2)

After you have to subttitute y= (7)/(2)  for y in x = -2y+11

which you get as x=4

Finally you get the answer as:

x = 4

y = (7)/(2)

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The icon indicates an exercise designed to provide practice using a calculator. solve y-6= -14
a high school had 740 Students at the start of the year, but than some students left the school. after that the school had 726 students. if s=the number of students who is left at the school, which mathematical sentence expresses the information?
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a long distance telephone company charges a rate of 8 cents per minute or 90 cent mininum charge per call, whichever is greater. Find the cost in cents per minute for a 41 minute call.

Answers

The cost of a 41 min call would be 328 cents. So, that would be 8 cents per minute, because the charge of the call is greater that 90 cents. Hope that helps!!

PLEASE HELP ASAP 25 PTS + BRAINLIEST TO RIGHT/BEST ANSWER

Answers

Answer:

(-6,9,-3)

Step-by-step explanation:

-3x -y +z=6

-3x-y+3z =0

x-3z =3

Multiply the second equation by -1

-1 *(-3x-y+3z) =0*-1

3x +y -3z =0

Add this to the first equation

-3x -y +z=6

3x +y -3z =0

----------------------

0 + 0 + -2z = 6

Divide by -2

-2z/-2 = 6/-2

z = 6/-2

z=-3


Take the third equation to find x

x-3z=3

x-3(-3) = 3

x+9=3

Subtract 9 from each side

x+9-9 =3-9

x=-6

Now we need to find y

3x +y -3z =0

3(-6) +y -3(-3) =0

-18 +y +9=0

-9+y =0

Add 9 to each side

-9+9+y = 0+9

y=9

(-6,9,-3)

\left\{\begin{array}{ccc}-3x-y+z=6\n-3x-y+3z=0\nx-3z=3&|\text{add 3z to both sides}\end{array}\right\n\nx=3+3z\n\n\text{Substitute it to the first and the second equation:}\n\n\left\{\begin{array}{ccc}-3(3+3z)-y+z=6\n-3(3+3z)-y+3z=0\end{array}\right\n\n\text{use distributive property}\n\n\left\{\begin{array}{ccc}-9-9z-y+z=6&|\text{add 9 to both sides}\n-9-9z-y+3z=0&|\text{add 9 to both sides}\end{array}\right\n\n\text{combine like terms}

\left\{\begin{array}{ccc}-8z-y=15\n-6z-y=9&|\text{change the signs}\end{array}\right\n\n\underline{+\left\{\begin{array}{ccc}-8z-y=15\n6z+y=-9\end{array}\right}\qquad\text{add both sides of the equations}\n.\qquad-2z=6\qquad\text{divide both sides by (-2)}\n.\qquad\boxed{z=-3}\n\n\text{Put the value of z to the second equation:}\n\n6(-3)+y=-9\n-18+y=-9\qquad\text{add 18 to both sides}\n\boxed{y=9}\n\n\text{Put the value of z to the equation}\ x=3+3z:\n\nx=3+3(-3)\nx=3-9\n\boxed{x=-6}

Answer:\ \boxed{x=-6,\ y=9,\ z=-3\to(-6,\ 9,\ -3)}

What is the intersection of plane STXW and SVUT?A. SV
B. ST
C. YZ
D. TX

Answers

B. ST is the intersection of plane STXW and SVUT.

Answer: B. ST.


Step-by-step explanation: The intersection of two planes, if exists, is a straight line. Since the planes STXW and SVUT have S and T as common points and we can always draw a straight line given any two points in a plane, so ST is the line joining the points S and T, and hence, it is the intersection of the two given planes.

Thus, the correct option is B. ST.


Finding the product of 26 and 17 means to add 26+17

Answers

Answer: false

Step-by-step explanation: The result of multiplying 17 by 26 is called the product. Thus, the product of 17 and 26 is 442.

Final answer:

The term 'product' in mathematics refers to the result of multiplication, not addition. So the 'product' of 26 and 17 means to multiply 26 and 17, which equals 442, not to add them.

Explanation:

In mathematics, finding the product of 26 and 17 means to multiply the two numbers, not just to add them. The term 'product' in mathematics means the result of multiplication. Therefore, here, the product of 26 and 17 is calculated as 26 * 17, which equals 442, not as 26 + 17, which equals 43.

An easy way to remember this is to think about vocabulary: in mathematics, 'product' refers to multiplication, 'sum' refers to addition, 'difference' refers to subtraction, and 'quotient' refers to division.

Learn more about Product in Mathematics here:

brainly.com/question/37026111

#SPJ11

What is 2 1/50 expressed as a decimal

Answers

To make 2 1/50 as a decimal you must first make it improper;

2 1/50 = 101/50

so now to get the decimal just divide the numerator by the denominator;

101 ÷ 50 = 2.02

so 2 1/50 expressed as a decimal is;  2.02
2 1/50 = 2 2/100

2.02 is the answer.

Final answer:  2.02

Game stop is having a 15% off sale. If the game rocket league is $40 and the sales tax rate is 6.25%, how much would you pay after the discount and sales tax is applied?

Answers

The buyer will pay $36.125 after the discount and sales tax

Step-by-step explanation:

Given

Price of Rocket league = $40

Discount = 15%

Sales tax = 6.25%

First of all we have to find the discounted price

So,

Discount = 15\%\ of\ 40\n= 0.15*40\n=6

The discount is $6.

The discounted price will be:

Discounted\ price = price - discount\n= 40-6\n= \$34

The sales tax will be applied on this discounted price now.

So,

Sales\ tax = 6.25\%\ of\ 34\n= 0.0625 * 34\n=2.125

So the total price of Rocket league after discount and sales tax will be:

Final\ price = Discounted\ price + Sales\ tax\n= 34+2.125\n=36.125

Hence,

The buyer will pay $36.125 after the discount and sales tax

Keywords: Percentage, discount

Learn more about percentage at:

#LearnwithBrainly

Answer:

$36.13

Step-by-step explanation:

Given that the price of the game rocket league is $40.

There is a 15% discount:

discount = 0.15 x $40 = $6

Therefore price after discount = 40 - 6 = $34

There is a sales tax of 6.25%:

sales tax = 0.0625 x $34 = $2.125

Therefore price after applying sales tax = 34 + 2.125 = $36.125

$36.125 ≈ $36.13
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The total amount y (in dollars) in your savings account after buying x video games is represented by y=90-10x. You have $40 in your account after buying video games. How many video games did you buy?