MATHEMATICS HIGH SCHOOL

What is 3 root of − 216

Answers

Answer 1
Answer: Hello,

6i√6 and -6i√6 are the roots that negative number.

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An alloy weighing 40 lbs. is 10% tin. The alloy was made by mixing a 15% tin alloy and a 8% tin alloy. How many pounds of each alloy (to the nearest tenth) were used to make the 10% alloy?lbs. of the 15% alloy and lbs. of the 8% alloy.

Answers

Let the weight of 15% tin be  x.

So the weight of the 8% tin will be:  (40 - x), since the total weight is 40 lbs


Using the mixture formula:

w1*p1 + w2*p2 = w*p

Where w1 = weight of the first percentage, p1 = First Percentage

w2 = weight of the second percentage, p2 = Second Percentage

w = Final weight, p1 = Final Percentage

0.15*x + 0.08(40 - x) = 40*0.1

0.15x + 3.2 - 0.08x = 4

0.15x - 0.08x = 4 - 3.2

0.07x = 0.8

x = 0.8/0.07

x ≈ 11.429

Recall the 15% was made with x, which is ≈   11.429

Recall the 8% was made with (40-x) ≈  (40 - 11.429) ≈ 28.571

So the 10% tin of the 40 lbs was made with ≈11.4 lbs of the 15% tin and  ≈28.6 lbs of the 8% tin
x=15% alloy
y=8% alloy
x+y=40
y=40-x
0.15x+0.08y=40*0.10
0.15x+0.08(40-x)=40*0.1
times 100 both sides for easy
15x+8(40-x)=400
15x+320-8x=400
7x+320=400
minus 320 from both sides
7x=80
divide both sides by 7
x=80/7
x+y=40
80/7+y=280/7
y=200/7
aprox
x=11.4lb
y=28.6lb


11.4lb of 15%
28.6lb of the 8%
what????

if Scott wood makes 91% of all his free throws then what is the probability that he will make all of his next 6 attempts

Answers


Well, it seems tome that if he makes  91%  of all his free throws, then every time
he steps up to the line, there's a  91%  chance that he'll make THAT throw.

Now the basketball has no memory, so the probability is the same for each
attempt, and the probability of succeeding on two consecutive attempts is
91%  of the probability of succeeding on the first one, and so on and so forth.

So the probability of  6  consecutive baskets is (91%) x (91%) x ... etc, 6 times.

That's just  (0.91)⁶ = 56.787 percent.
56.79%. that is the answer to your question.

Which amount is largest?

100 g
1 kg
1,000 mg
1 dg

Answers

The largest amount is B- 1 Kg.





Hope it is helpful :)

Find the solutions of y= x+2
y=4-x

Answers

y= x+2

y=4-x

so

x + 2 = 4 - x

2x = 2

x = 1


y = 1 + 2

y = 3


Answer

x = 1, y = 3

y= x + 2

y= 4 - x


Let (y= x+2) be y

x+2 = 4- x

x + x = 4 - 2

2x = 2

Therefore x= 1


Lets now find y;

y= x+2

lets replace x with 1 ( x=1)

y= 1+2

y= 3

The answer therefore is y=3 and x= 1

There are 5/6 as many black pants as blue pants in george's closet. There are 5/9 as many black pants as brown pants in his closet. What is the ratio of the number black pants to the total number of pants in his closet?

Answers

Answer is the ratio   1 : 4

Work Shown

x = number of black pants

y = number of blue pants

z = number of brown pants

x = (5/6)y

x = (5/9)z

z = (9/5)x

x+y+z = total number of pants

x+y+z = (5/6)y + y + (9/5)x

x+y+z = (5/6)y+y+(9/5)*(5/6)y  

x+y+z = (5/6)y+y+(3/2)y

x+y+z = (5/6)y+(6/6)y+(9/6)y

x+y+z = ( (5+6+9)/6 )y

x+y+z = (20/6)y

x+y+z = (10/3)y

numberOfBlackPants : Total

(5/6)y : (10/3)y

6*(5/6)y : 6*(10/3)y

5y : 20y

5 : 20

1 : 4

The ratio of the number of black pants to the total number is 1 : 4

It means the total is 4 times that of the number of black pants.

In which quadrant is (1/2, -1.8)?

Answers

The x is positive, and the y is negative.

If you draw your number line showing the positive and negative sides of the x and y axis:

You will find it is in the 4th quadrant.
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