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SOVA2 [1]
3 years ago
11

calculate how much 1% salt solution must be mixed with how much 5% salt solution to make 100 milliliters of 2% salt solution. yo

u'll need milliliters of the 5% salt solution.
Mathematics
1 answer:
Setler79 [48]3 years ago
7 0
Let x be the amount (the volume in milliliters) of the 5% solution to be mixed.

Then the volume of the 1% solution is 100-x milliliters.


Then your "concentration" equation is

%280.01%2A%28100-x%29+%2B+0.05%2Ax%29%2F100 = 0.02,


or, equivalently,

100-x + 5*x = 200,

which implies

4x = 100 ----> x = 100%2Fx = 25.


Answer: 25 milliliters of the 5% solution must be mised with 100-25 = 75 milliliters of the 1% solution.
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AB is parallel to CD.
kogti [31]

Answer:

Step-by-step explanation:

∠ABC = ∠BCD    { AB // CD; BC TRAVERSAL, alternate angles are equal}

∠ABC = 20

∠BCA = ∠BAC     {angles opposite to equal sides are equal}

∠BCA = ∠BAC = x

x + x + 20 = 180

2x = 180 - 20

2x = 160

x = 160/2

x = 80

6 0
3 years ago
Is (x-3) a factor of f(x) = x^2 - 32?
Leokris [45]

Answer:

No

Explanation:

Here, we want to use the factor theorem to check if the given linear expression is a factor of the binomial

Now, according to the factor theorem, a factor of a polynomial would leave no remainder when divided by it

Mathematically, it means when we substitute the factor value into the polynomial, it is expected that the remainder is zero is the substituted is a factor of the polynomial

We set x-2 to zero:

\begin{gathered} \text{ x-2 = 0} \\ x\text{ = 2} \end{gathered}

Now, we substitute 2 into the polynomial as follows:

f(2)\text{ = }2^2-32\text{ = 4-32 = -28}

There is a remainder of -28 and thus, the linear factor is not a factor of the binomial

3 0
1 year ago
In the game of euchre, the deck consists of the 9, 10, jack, queen, king and ace of each suit. players are dealt a five card han
Oksana_A [137]
0% because the deck only has 9s, 10s, jacks, queens, kings, and aces. There is no others cards accept those. So you cannot get a 4 of hearts because it’s not in the deck.
8 0
3 years ago
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A jar contains 37 marbles of which 13 marbles are blue 10 red and rest are green. what is the ratio of green marbles to red marb
jeka94
37=blue+red+green
37-red-blue=green
37-13=10=green
14=green

green:red=
14:10=
7:5
5 0
3 years ago
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A carpenter is putting a skylight in a roof. If the roof measures 10 + 8 by 8 + 6 and the skylight measures + 5 by 3 + 4, what i
Usimov [2.4K]

Answer:

The area is: 77x^2 + 105x + 28, option b.

Step-by-step explanation:

Rectangular area:

The area of a rectangular space is given bt the multiplication of its measures.

Area of the roof:

Dimensions of 10x + 8 and 8x + 6. So

A_{r} = (10x+8)(8x+6) = 80x^2 + 60x + 64x + 48 = 80x^2 + 124x + 48

Area of the skylight:

Dimensions of x + 5 and 3x + 4. So

A_{s} = (x+5)(3x+4) = 3x^2+4x+15x+20 = 3x^2 + 19x + 20

What is the area of the remaining roof after the skylight is built?

Total subtracted by the skylight, which is a subtraction of a polynomial, in which we subtract the like terms. So

A_{r} - A_{s} = 80x^2 + 124x + 48 - (3x^2 + 19x + 20) = 80x^2 - 3x^2 + 124x - 19x + 48 - 20 = 77x^2 + 105x + 28

The area is: 77x^2 + 105x + 28, option b.

3 0
3 years ago
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