How much water should be added to 18ml of 10% alcohol solution  to reduce to reduce the concentration to 9%

Answers

Answer 1
Answer: 10\%=(10)/(100)=0.1\n\n0.1\cdot18ml=1.8ml-clear\ alcohol\n\n9\%=(9)/(100)=0.09\n\nw-added\ water\ (ml)\n18ml+w-9\%\ alcohol\ solution\n\n0.09(18+w)=1.8\ \ \ \ /:0.09\n18+w=20\ \ \ /-18\nw=2\n\nAnswer:2ml.
Answer 2
Answer: 18 * 0.1 = 1.8 ml

0.09(x + 18) = 1.8
18 + x = 20
x = 20 - 18
x = 2

2 ml.

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Chris Built a rectangular snow fort with a perimeter of 24 feet. The length of the fort was 8 feet less than 3 times the width. What was the length (x) and width (y) of the fort

Answers

The length of a rectangular snow fort is 7 feet and the width of a rectangular snow fort is 5 feet.

Given that, Chris Built a rectangular snow fort with a perimeter of 24 feet.

What is the perimeter of a rectangle?

The perimeter of a rectangle is the total distance of its outer boundary. It is twice the sum of its length and width and it is calculated with the help of the formula: Perimeter = 2(length + width).

Let x be the length of a rectangular snow fort and y be the width of a rectangular snow fort.

The length of the fort was 8 feet less than 3 times the width.

y=3x-8

Now, 2(y+x)=24

⇒ 3x-8+x=12

⇒ 4x=20

⇒ x=5

So, y=3x-8=7

Therefore, the length of a rectangular snow fort is 7 feet and the width of a rectangular snow fort is 5 feet.

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We set up an equation for this.  P = 2L + 2W.24 = 2(3W-8) + 2W
24 = 6W + 2W -16
32 = 8W
W = 4.

L = 3W-8
L = 3 (4) -8
L = 12-8
L = 4

In rectangle KLMN, KM = 10x + 24 and LN = 64. Find the value of x.

Answers

_________X=30____
_________-________

Answer:

The answer is 4

Step-by-step explanation:

10x+24=64

10x=64-24

10x=40

x=40/10

x=4

7. The $5 gift cards are given away first. Inhow many ways can these cards be given to 3
of the 9 volunteers? Is this a combination or a
permutation? Explain.
Answer choices:
a. 84; combination because the order does
not matter
b. 504; combination because the order
does not matter
C. 84; permutation because the winners
are chosen one at a time
d. 504; permutation because the winners
are chosen one at a time

Answers

Answer:

c

Step-by-step explanation:

Final answer:

The $5 gift cards can be given to 3 of the 9 volunteers in 84 different ways.

Explanation:

This is a combination problem because the order in which the gift cards are given does not matter.



To find the number of ways the gift cards can be given to 3 of the 9 volunteers, we can use the combination formula:



C(n,r) = n! / (r!(n-r)!)



In this case, n = 9 (the number of volunteers) and r = 3 (the number of gift cards to be given).



Plugging in the values, we get:



C(9,3) = 9! / (3!(9-3)!) = 84



Therefore, there are 84 ways to give the $5 gift cards to 3 of the 9 volunteers.

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Car B was driven at the speed of 48 miles per hour.how long was the test.

Answers

One hour... that's what I think
Your answer is 1 hour.

Hope this helps.

Convert 324 centimeters to meters.

3.24 m
32.4 m
3,240 m
3,240 m

Answers

To convert from meters to centimeter you divide by 100
: . 324 cm to m = (324cm)/(100) =<span> 3.24m</span>

thus A

Why is h²=p²+b²plz somebody help me ​

Answers

Answer:

This formula is related to Pythagorus theorem which states that in a right angled triangle square of hypotenuse is equal to sum of the squares of other two sides.

In other words, C²=B²+A²