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asambeis [7]
3 years ago
8

RSM QUESTION NEED HELP!!!!!! A pharmacist has a 13 % alcohol solution and another 18 % alcohol solution. How much of each must h

e use to make 50 grams of a 14 % alcohol solution?
Mathematics
2 answers:
Snezhnost [94]3 years ago
5 0

Answer:

Step-by-step explanation:

lol i do RSM too. It's hard. We can work together. Were the same age too omg. I got this problem too.

Luden [163]3 years ago
4 0

Answer:

40 grams of 13% alcohol solution and 10 grams of 18% alcohol solution.

Step-by-step explanation:

13%(x) + 18%(50-x) = 14%*50g   Multiply them all

0.13x + (9-0.18x) = 7

0.13x-0.18x + 9 = 7   Simplify the equation and subtract 0.13x from 0.18x

9-0.05x = 7   Add 0.05x to each side

9 = 7+0.05x   Subtract 7 from both sides

0.05x = 2   Multiply each side by 100

5x = 200   Divide both sides by 5

x = 40

50 - 40 = 10

40 grams and 10 grams

Your welcome

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What is a postulate?
zloy xaker [14]

Answer:

A statement, also known as an axiom, which is taken to be true without proof. Postulates are the basic structure from which lemmas and theorems are derived.

Step-by-step explanation:

The Addition Postulate: If you have one apple and Sally has one apple, when you both add the same quantity to your existing number of apples, you'll still have the same number of apples. Using algebra, the postulate states:

If x = y, then x + 4 = y + 4

The Subtraction Postulate: If you have ten apples and Sally has ten apples, when you both subtract the same quantity of apples from your existing number of apples, you'll still have the same number of apples.

If x = y, then x - 3 = y - 3

Without being repetitive, these same principles apply to both multiplication and division.

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The Division Postulate: If x = y, then x / 7 = y / 7

5 0
3 years ago
Read 2 more answers
1. The height of a missile t seconds after it has been fired is given by h=4.9t^2+44.1t. How many seconds will it take for the r
asambeis [7]

Answer:

The rocket will take 4.5 seconds to reach its maximum height.

Step-by-step explanation:

The height of a missile t seconds after it has been fired is given by h=-4.9*t²+44.1*t

This function is a quadratic function of the form f (x) = a*x² + b*x + c. In this case a=-4.9, b=44.1 and c=0

To calculate how many seconds it will take for the rocket to reach its maximum height, I must calculate the maximum of the function. The maximum of a quadratic function is the vertex of the parabola. The x coordinate of the vertex will be simply: x=\frac{-b}{2*a}. The y coordinate of the vertex corresponds to the function evaluated at that point.

In this case the x coordinate of the vertex corresponds to the t coordinate. In other words, by calculating the x coordinate of the vertex, you are calculating the maximum time t it will take for the rocket to reach its maximum height. So:

t=\frac{44.1}{2*(-4.9)}

t=4.5

<u><em>The rocket will take 4.5 seconds to reach its maximum height.</em></u>

7 0
2 years ago
The product of a number and -7 gives seven times the sum of that number and -40. Find the number
Ymorist [56]
Let the unknown number be x.

x × -7 = 7 (x + -40)

-7x = 7x - 280

-14x = -280

x = 280/14

x = 20

Hope this helps!
4 0
3 years ago
What is the range shown in the scatter plot
Alekssandra [29.7K]
You have to line them up for example 1 is in a straight line and so is 3 and 5 you can choose between 3 and five but what about the middle 4.
8 0
2 years ago
A landscape designer has to construct a rectangular flower bed with a perimeter of 100 feet and the maximum possible area. What
Alinara [238K]

9514 1404 393

Answer:

   625 square feet

Step-by-step explanation:

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The maximum possible area is 625 ft².

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In the attached, x is the length of one side. The area versus side length is plotted. The maximum is seen to be 625 ft² for a side length of 25 ft.

8 0
2 years ago
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