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aliya0001 [1]
3 years ago
9

Please help me out and show work

Mathematics
1 answer:
lina2011 [118]3 years ago
4 0

Answer:

s(x)=\frac{0.2}{x+5}

Step-by-step explanation:

In 5 liters, there is 4% salt.

Lets find liters of salt.

First, converting 4% to decimal (dividing by 100):

4% = 4/100 = 0.04

0.04 * 5 = 0.2

So, there is 0.2 liters of salt.

Now, x liters of water is added to total, so total is now:

5 + x

The concentration of salt will be amount of salt divided by amount of salt water solution.

Amount of salt = 0.2 (as seen above)

Amount of new salt water solution = x + 5

So,

Concentration of salt in new solution is  \frac{0.2}{x+5}

2nd choice is right.

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A rectangular prism is a three-dimensional geometric figure, hollow or solid, contained by six rectangular sides that meet at ri
jenyasd209 [6]

Answer:B. C. D.

Step-by-step explanation:

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3 years ago
Which angle pairs are supplementary? Check all that<br> apply.
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Answer:

The correct answers are B, C, and E.

B. < 4 and < 3

C. < 4 and < 5

E. < 3 and < 6

Step-by-step explanation:

The pairs in options B, C, and E add up to 180°, which is the definition of a supplementary angle.

Hope this helps!

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3 years ago
What is the degree of the polynomial?<br><br> 4x3+3x2−9x+7
PolarNik [594]

Answer:

3

Step-by-step explanation:

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7 0
3 years ago
The length of a rectangle is 6 more than twice the width. if the area is 40 cm^2, find the length and breadth of the rectangle
ra1l [238]

Answer: 3.217 & 12.434

Step-by-step explanation:

If we use <em>w</em> to represent the width, the length will be 6 more than 2 times w.

Hence, the length is 2w+6.

The area of a rectangle would be its length times its width, so let's make an equation to represent it's area.

A=w(2w+6)

We can also substitute 40 in for A as it's given in the question.

40 = w(2w+6)

Distributing <em>w</em> by multiplying it by both terms in the parentheses, we get

40 = 2w^2+6w

We can make the equation simpler by dividing both sides by 2.

20 = w^2+3w

Subtracting both sides by 20 will make the left-hand side 0.

0=w^2+3w-20

Now that we have put this <em>quadratic equation</em> into standard form (ax²+bx+c), we can find its solutions using the quadratic formula.

For reference, the quadratic formula is

x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}

In this case, a is 1, b is 3, and c is -20.

Substituting, we get

w=\frac{-3\pm\sqrt{3^2-4(1)(-20)}}{2(1)}

w= \frac{-3\pm\sqrt{9+80}}{2}

w=\frac{-3+\sqrt{89}}{2}\hspace{0.1cm}or\hspace{0.1cm}\frac{-3-\sqrt{89}}{2}

Since the second solution results in a negative number, it cannot be the length of w.

w=\frac{-3+\sqrt{89}}{2}\approx3.217

The width/breadth of the rectangle is 3.217 cm.

To calculate the length, let's substitute the width into the expression for the length:

l=2(3.217)+6

l=12.434

The length of this rectangle is 12.434 cm.

6 0
2 years ago
An elephant at the city zoo weighs 13,600 pounds. how many tons is this?
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Since a ton is 2000 pounds You would divide 13600 pounds in half so your answer would be C>>>6.8 tons
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