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Montano1993 [528]
2 years ago
14

how many kilograms of pure water is to be added to 100 kilograms of a 30% saline solution to make it a 10% saline solution

Mathematics
1 answer:
Irina-Kira [14]2 years ago
4 0

Answer:

  200 kg

Step-by-step explanation:

If w is the amount of water added, then the concentration of the solution is ...

  salt/solute = 100(0.30)/(100 +w) = 0.10

  30 = 10 +0.10w . . . . . simplify

  20 = 0.10w . . . . . . . . subtract 10

  20/0.10 = w = 200 . . . . divide by 0.10

200 kg of water must be added to dilute the solution to 10%.

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Alyssa plans to borrow $3,180 at 6.5% for 3.5 years . Find the amount of simple interest she should expect to pay.
irga5000 [103]

Answer:

784.16

Step-by-step explanation:

use the formula for simple interest =

P(1+r)^t

so

3180(1.065)^3.5 - 3180

3 0
2 years ago
Write a polynomial that is a trinomial, has the coefficients 3 and 4, the variable x,
vladimir1956 [14]

Answer:

3x+4x+7

Step-by-step explanation:

First, a Trinomial consists of three terms.

so we have <u>blank</u>+<u>blank</u>+<u>blank</u>

Next we need to add the coefficients.

<u>3</u>+<u>4</u>+<u>blank</u>

Add the variables.

3x+4x+<u>blank</u>

And lastly, add the constant.

3x+4x+7

Good luck!

8 0
2 years ago
During a basketball game, chiyann made 15 baskets. She made three more baskets then twice number of baskets made by whitney. How
Nadusha1986 [10]

Answer:

Whitney made 6 baskets

Step-by-step explanation:

Let the number of baskets made by Whitney be x.

The 15 baskets made by

Chiyann is equal to 2 times plus 3 what Whitney made

Mathematically what she made would be 2x + 3

To get x, we equate this equation to 15

2x + 3 = 15

2x = 12

x = 12/2

x = 6 baskets

7 0
2 years ago
Describe the relationship between the angles!! HELP ME PLZ
never [62]

Answer:

1. alternate exterior angles

2. co-interior angles

3. corresponding angles

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5. corresponding angles

6. co-interior angles

4 0
3 years ago
The difference between two numbers is 15. If 8 is added to twice the greater number, the result is 4 less than 3 times the lesse
yuradex [85]

Answer:


Step-by-step explanation:

Let x be the greater number and y be the smaller number. We know that their difference is 15, so we have

x-y=15

Then, we have the following information: if we add twice the greater (2x) and 8 (2x+8), the result is 3 times the lesser (3y) minus four (3y-4). So, we have

2x+8 = 3y-4 \iff 2x-3y = -12

So, we have the follwing system:

\begin{cases} x-y=15\\2x-3y = -12\end{cases}

From the first equation, we can derive x = y+15, and substitute this expression in the second equation to get

2(y+15)-3y = -12 \iff 2y + 30 -3y = -12 \iff -y = -42 \iff y = 42

Substitute this value for y in the first equation to get

x-42=15 \iff x=15+42 \iff x = 57

8 0
3 years ago
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