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shusha [124]
3 years ago
11

PLZ HELP ME ASAP! 12 POINTS 

Mathematics
1 answer:
Korvikt [17]3 years ago
5 0
X = # 5 inch stones, y = # 10 inch stones

5x + 10y = 145
y = x + 1

5x + 10(x + 1) = 145
5x + 10x + 10 = 145
15x = 135
x = 135/15
x = 9 <=== 9 five inch stones

y = x + 1
y = 9 + 1
y = 10 <=== 10 ten inch stones


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How much of the 8% solution should we use to make 100g of a 3% solution?
kipiarov [429]

Answer:

37.5 g

Step-by-step explanation:

The final solution will contain 3% × 100 g = 3 g of solute. This amount of solute will be found in w grams of 8% solution, where ...

... 3 = 0.08 × w

... 3/0.08 = w = 37.5 . . . . . grams of 8% solution

3 0
3 years ago
Which terms complete the factorization of x2+27x+162 represented by the model?
maria [59]
The answer i got is b im not really a 100% sure
5 0
3 years ago
Read 2 more answers
Place the quadratic y=2x^2+24x+79 into vertex form by using the method of completing the square and then state the coordinates o
katrin2010 [14]

Answer:

y=2(x+6)^2+7

(-6,7)

Step-by-step explanation:

y=2x^2+24x+79

Completing the square is a process of converting a quadratic equation in standard form into vertex form.

The first step in completing the square is grouping the quadratic and linear terms of the quadratic equation.

y=(2x^2+24x)+79

Factor out the coefficient of the quadratic term,

y=2(x^2+12x)+79

Now complete the square, add a term to make the grouped part of the equation a complete square, then balance the equation.

y=2(x^2+12x+36-36)+79

Simplify,

y=2(x^2+12x+36)+79+(2)(-36)

y=2(x+6)^2+79-72

y=2(x+6)^2+7

The x-coordinate of the vertex of the equation is equal to (-1) times the numerical part of the quadratic term, and the y-coordinate is equal to the constant.

(-6,7)

7 0
3 years ago
The amount of chlorine in a swimming pool is proportional to the volume of water. The pool has 2.5 milligrams of chlorine per li
stira [4]

Answer:

There are <u>20,000 milligrams</u> chlorine in the pool.

Step-by-step explanation:

Given:

The chlorine per liter of water in the pool is 2.5 milligrams.

The  volume of water in the swimming pool is 8000 gallons.

Now, to find the quantity of chlorine in the pool.

Let the quantity of chlorine be x.

The gallons of water in the swimming pool = 8000.

The milligrams of chlorine per liter of water in the pool = 2.5.

According to question, the amount of chlorine in the swimming pool is proportional to the volume of water.

So, 2.5 mg of chlorine is equivalent to 1 liter.

Thus, x is equivalent to 8000.

Now, to get the quantity of chlorine by using cross multiplication method:

\frac{2.5}{1} =\frac{x}{8000}

<em>By cross multiplying we get:</em>

20000=x\\\\x=20,000\ mg.

Therefore, there are 20,000 milligram chlorine in the pool.

6 0
3 years ago
Express your answer in scientific notation.<br> 1.8x 10^-2 – 3.9 x 10^-3 =
DIA [1.3K]

Answer:

1.41 x 10^-2

Step-by-step explanation:

1.8 x 10^-2 - 3.9 x 10^-33 = 18 x 10^-3 - 3.9 x 10^-3

                                        = (18-3.9) x 10^-3

                                        = 14.1 x 10^-3

                                        = 1.41 x 10^-2

Comment below if you have any questions! If you could mark this answer as the brainliest I would appreciate it!

4 0
3 years ago
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