MATHEMATICS MIDDLE SCHOOL

An angle turns through 60 one- degree angles.What is the measure of the angle?

Answers

Answer 1
Answer: if it's 60 degrees it's an acute angle 

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Park Rangers are counting the deer population in a state park. They divide the park into sections that are each 324 square feet. The width of each section is 12 feet. What is the perimeter of each section of the park?

Answers

The problem is literally telling you the answer. The perimeter would be 324. It is just giving you extra information in the problem that is probably making you confused.
In order to find the perimeter, you have to find the length. It says the area is 324 suare feet, so you must divide 324 by 12 to find length. Once you have length, you have a rectangle. Perimeter is 2 times the length plus 2 times the width, so subsequently the answer is 78 feet.

Estimate the solution to the system of equations.
2x+3y=6
-4x+3y=12

Answers

The solution is:

x=-1, y=2(2)/(3)

Step-by-step explanation:

Given

2x+3y=6     Eqn 1

-4x+3y=12     Eqn 2

Subtracting equation 2 from equation 1

2x+3y-(-4x+3y)=6-12\n2x+3y+4x-3y=-6\n6x=-6\nDividing\ both\ sides\ by\ -6\n(6x)/(6)=(-6)/(6)\nx=-1

Putting x=-1 in equation 1

2x+3y=6\n2(-1)+3y=6\n-2+3y=6\n3y=6+2\n3y=8\nDividing\ both\ sides\ by\ 3\n(3y)/(3)=(8)/(3)\ny=2(2)/(3)

The solution is:

x=-1, y=2(2)/(3)

Keywords: Linear equations

Learn more about linear equations at:

#LearnwithBrainly

What is 0 to the power of 0? And why does everyone disagree on it?

Answers

First of all, anything to the power of 0 is 0. And second, 0 to the power of anything is 0. Therefore, the answer is 0..

But that is incorrect

Anything with the base as 0 is in fact 0

But anything to the 0 power is 1 not 0.

So most test books define 0 to the power of 0 as undefined


5. Chloe has 20 unit cubes How many different rectangular prisms can she build with the cubes?A. 4
B. 5
C. 10
D. 20

Answers

The answer is C. 10 because you only need 2 unit cubes to make a rectangular prism

James started tutoring children several times a week. The first 2 weeks he had to buy tutoring supplies and had losses of $40 and $56. The next three weeks he made a profit of $105, $70, and $140. At the end of the 6 weeks, he had a net profit of $252.

(a) write an equation to find the profit or loss for the 6th week in this situation. Solve your equation. Was there a profit or a loss for that week? Show your work.
(b) What was James's average profit or loss for the 6 weeks? Show your work.
This is on k12, please help me!

Answers

Given:
Week 1 : - 40
Week 2 : - 56
Week 3 : 105
Week 4 :   70
Week 5 : 140
Week 6 : ?

At the end of the 6th week, net profit is 252.

Profit = 105 + 70 + 140 = 315
Loss = 40 + 56 = 96
Net Profit = 315 - 96 = 219
252 - 219 = 33 Profit on Week 6.

Average profit : 252 / 6 = 42 per week

used 1/3 yard of ribbon to tie a package and 1/6  yard of ribbon to tie a bow how many yards of ribbon did jamal use

Answers

The total amount of yard Jamal used is 1/2 yard              

  • Amount of yard he used to tie a package = 1/3 yard
  • Amount of yard he used to tie a bow = 1/6 yard

Further Explanation

To determine the overall amount of yards of ribbon that Jamal used, the amount of yard he used to tie a package and the amount he used to tie a bow will be added; the derived value is the total amount of yard he used.

Therefore,

= 1/3 + 1/6

= (2+1)/6

= 3/6

= 1/2 yard (Further broken down to this)

The above values are fractions. A fraction is a number that has a part of a whole. It always has a numerator and denominator. Numerators are number values that are always on top, while denominators are number values that are always at the bottom

To derive the final answer (1/2), both denominators (3 and 6) Lowest Common Denominator was factored out which is (6), and is used to divide both denominators, then multiplied by the numerators. The derived values were added to get another fraction which was finally broken down to arrive at the final answer.

Significantly, the order of operations i.e. BODMAS was made use of. BODMAS is an acronym of Bracket, Of, Division, Multiplication, Addition, Subtraction.

LEARN MORE:

KEYWORDS:

  • fractions
  • lowest common denominator
  • numerator
  • bodmas
  • addition
  • multiplication
Make both equal fractions, 1/6 = ?/3
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