MATHEMATICS HIGH SCHOOL

Solve this system of linear equations. Separatethe x- and y-values with a comma.
8x = -46 - 2y
7x = -59 + 2y

Answers

Answer 1
Answer:

Answer:

x = -7, y =5

Step-by-step explanation:

8x = -46 - 2y

7x = -59 + 2y

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

Add the two equations together to eliminate y

8x = -46 - 2y

7x = -59 + 2y

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

15x =-105

Divide each side by 15

15x/15 = -105/15

x =-7

Now solve for y

7x = -59+2y

7(-7) = -59+2y

-49 = -59+2y

Add 59 to each isde

-49+59 = 2y

10 = 2y

Divide each side by 2

10/2 = 2y/2

5 =y
Answer 2
Answer:

Answer:

(-7,5)

Step-by-step explanation:

8x = -46 - 2y

2y = -46 - 8x

7x = -59 + 2y

7x = -59 - 46 - 8x

15x = -105

x = -7

2y = -46 - 8(-7) = 10

y = 5

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The circumference of a circular painting is 28.26
feet. What is the diameter of the painting? Use
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and do not round your answer.

Answers

Divide 28.26 by 3.14

The answer is 9

Dr. Jimand poses as a student in his study of Bosnian students who are adjusting to college life in the United States. Dr. Jimand lives in the dorm with the students and attends classes with them. What research method is he using?A. formal experimentation
B. survey method
C. clinical method
D. naturalistic observation

Answers

Answer:

D. naturalistic observation

Step-by-step explanation:

Naturalistic observation is a method of research that consists in observing subjects in their natural environment without any exterior interferences that could alter their behavior. By posing as a student, Dr. Jimand is inserting himself among the other students to observe their natural behavior. For instance, if they were told that there was a doctor observing them, the students' behavior could change and that wouldn't be a true naturalistic observation.

you are designing a cylindrical plastic glass with an outside layer of water that when frozen keeps the contents of the glass cold

Answers

Given this situation, you need to design the dimensions of the cylindrical plastic glass. And then, determine the optimum thickness of the outside layer for the water. The temperature limits of the material should also be considered for safety and durability purposes. 

Gabriela buys a basket of coconuts on sale for $22 before tax. the sales tax is 12%.

Answers

After tax, it would be: 22 + 22*12/100 = 22+2.64 = $24.64

The product of some negative number and 10 less than three times that number is 8

Answers

So,

"The product of some negative number"
n *

"and 10 less than three times that number"
-10 + 3n or 3n - 10

"is 8"
= 8
n * (3n - 10) = 8
n(3n - 10) = 8

Distribute.
3n^2 - 10n = 8

Subtract 8 from both sides.
3n^2 - 10n - 8 = 0

Factor.
(3n + 2)(n - 4) = 0

Set each factor to zero.
3n + 2 = 0
n - 4 = 0

There are two apparent solutions, but we must remember that the problem says that the number is negative.  We must therefore discard the second equation as extraneous.

3n + 2 = 0

Subtract 2 from both sides.
3n = -2

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Models sells right handed and left Handed baseball gloves in one month 12 gloves for a total revenue 528. Right gloves cost 48 and left handed cost 36 how many right handed gloves were sold.

Answers

Answer:

8 Right handed gloves and 4 left handed gloves.

Step-by-step explanation:

Assumed the number of right handed gloves sold was x and the number of left handed gloves sold was y.

Given that 12 gloves were sold:

x + y = 12

x = 12 - y

Given that the total revenue made was 528:

48x + 36y = 528

Substitute x = 12 - y into 48x + 36y = 528:

48(12 - y) + 36y = 528

576 - 48y + 36y = 528

-12y = -48

y = 4

Substitute y = 4 into x = 12 - y:

x = 12 - 4 = 8

8 Right handed gloves and 4 left handed gloves.
11 were sold. You do revenue 528 divided by cost of that glove (48) equals 11.
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