MATHEMATICS MIDDLE SCHOOL

Frank increased his score on his English assignment from 12 points to 18 points

Answers

Answer 1
Answer: Frank increased his score by 6 points. 
That was a 50% improvement.
Answer 2
Answer: Hey There!

Frank increased the score on his english assignment by 6 points, to find the answer subtract 18-12=6.

Thus, he changed his score by 6 points

Thank You!

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PLEASE HELP!!!Graph the system of inequalities presented here on your own paper, and then use your graph to answer the following questions:

Y>3x+10.
Y<-3/4x-1

PART A: Describe the graph of the system, including shading and the types of lines graphed. Provide a description of the solution area.

PART B: Is the point (8,10) included in the solution area for the system? Justify your answer mathematically.

Answers

Part A:
I have attached the graph of this system of inequalities.

Part B:
Plug in (8,10) into both equations

10 > 3(8) + 10
10 > 24 + 10
10 > 34

This is false!

10 < (-3/4)(8) - 1
10 < (-3)(2) - 1
10 < -6 - 1
10 < -7

This is also false!

So, (8,10) is not included in the solution area for the system.

Forty students are in fun club. Of those, 45% are girls. This percent increases to 56% after new girls join the club. How many new girls join? ~SwaggyAmerikanXO

Answers

45% of 40 is 0.45×40=18 girls
if x girls join then 56% of 40+x is 0.56(40+x)=18+x
22.4+0.56x=18+x
put together like terms
4.4=0.44x
x=10 girls joined

45% of 40 is 0.45×40=18 girls

if x girls join then 56% of 40+x is 0.56(40+x)=18+x

22.4+0.56x=18+x

put together like terms

4.4=0.44x

x=10 girls joined

Answer:


Step-by-step explanation:

Is 2 thirds equivalent to 6 tenths

Answers

You can't simplify 2/3, but you can divide both sides of 6/10 by 2 to simplify it. 6/10=3/5, which doesn't equal 2/3. 
2/3 is not equivalent to 6/10
thats because 3 times 3 doesnt equal to 10. it equals to 9.
so 2/3 equals to 6/9
hope it helped

2. Nicky weighs 126 pounds. The horse she is riding weighs 1,200 pounds.What is the difference in weight?

Answers

Answer: 1074 lbs.

Explanation: 1200-126=1074
The answer would be 1,074,because when you do 1,200 minus 126

How to justify a/b x b/c = a/c?

Answers

a/b times b/c is = ab/bc
which can be written as a/c times b/b
anything over itself is 1 so b/b is one
a/b times b/c = a/c
well a/b * b/c = ab/bc, and since b/b= 1 you get 1a/c or just a/c :)

What are the real and complex solutions of the polynomial equation X^3-216=0

Answers

Answer:

6,\ -3+3√(3)i,\ -3-3√(3)i

Step-by-step explanation:

Factor the equation x^3-216=0 using formula for difference of the cubes:

x^3-216=(x-6)(x^2+6x+36),

then

x-6=0\ or\ x^2+6x+36=0.

1. The equation x-6=0 has real solution x=6.

2. The equation x^2+6x+36=0 has negative discriminant D=6^2-4\cdot 36=36-144=-108, then it has two complex solutions

x_(1,2)=(-6\pm 6√(3)i)/(2)=-3\pm3√(3)i.
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