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LekaFEV [45]
3 years ago
9

Panchito needs to make 80 ml of a 39% alcohol solution. He is going to make it by mixing a 50% alcohol solution with a 6% alcoho

l solution. How much if each should he use?​
Mathematics
1 answer:
devlian [24]3 years ago
4 0

Answer:

60ml of the 50% alcohol solution  and 20ml of the 6% alcohol solution

Step-by-step explanation:

We can build a system of equation for solve this problem

x = first solution

y = second solution

x + y = 80

0.5x + 0.06y = 80 * 0.39

x + y = 80

0.5x + 0.06y = 31.2

x = 80 -y

0.5(80-y) + 0.06y = 31.2

40 - 0.5y + 0.06y = 31.2

-0.44y = -8.8

y = 20

x = 80 - 20 = 60

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Reduce to simplest form. - 3/5 + 1/3
Pani-rosa [81]

Answer: -4/15

Step-by-step explanation: To add these two fractions together,

we start by finding their <em>Least Common Denominator</em> (LCD).

Since our denominators of 5 and 3 have no factors in common,

our least common denominator is 5 · 3 or 15.

In order to get a denominator of 15 in each fraction,

we multiply top and bottom of the first fraction by 3

and top and bottom of the second fraction by 5.

That gives us -9/15 + 5/15 which simplifies to -4/15.

As your last step, make sure that the fraction

that you end up with doesn't reduce.

In this case, -4/15 does not reduce but watch out for this last step.

8 0
3 years ago
A reindeer can fly at a speed of 40 miles an hour. How far will fly in 2 1/2 hours
maw [93]

Answer:

100 miles

Step-by-step explanation:

Hope this helps

3 0
3 years ago
1 + 5sin^2x= 7sin^2x solve trig equation. Can you show me how to solve this trig equation?
pantera1 [17]

Answer: x = \frac{\pi}{4}\pm k\frac{\pi}{2}\,\,\,\,\,\,k=\{0,1,2,...\}

Step by step:

1 + 5\sin^2x= 7\sin^2x\\\sin^2 x\rightarrow z\\1 + 5z = 7z\\2z = 1\\z = \frac{1}{2}\implies \sin^2 x = \frac{1}{2}\\|\sin x| = \frac{1}{\sqrt{2}}\\\sin x = \pm\frac{1}{\sqrt{2}}=\pm\frac{\sqrt{2}}{2}\\\implies x = \frac{\pi}{4}\pm k\frac{\pi}{2}\,\,\,\,\,\,k=\{0,1,2,...\}

(Used a table of common angles)

8 0
3 years ago
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castortr0y [4]

Answer:

I think you got it right

Step-by-step explanation:

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6 0
3 years ago
I will attach a screenshot of the math problem.
Alekssandra [29.7K]

Complete the table for the function y = 0.1^x

The first step: plug values from the left column into the ‘x’ spot in the formula <u>y=0.1^x</u>.

* 0.1^-2 : We can eliminate the negative exponent value by using the rule a^-1 = 1/a. Keep this rule in mind for future problems. (0.1^-2 = 1/0.1 * 0.1 = 100).

* 0.1^-1 = 1/0.1 = 10

* 0.1^0 = 1 : (Remember this rule: a^0 = 1)

* 0.1^1 = 0.1

Our list of values: 100, 10, 1, 0.1

Now, we can plug these values into your table:

\left[\begin{array}{ccc}x&y\\2&10\\1&10\\0&1\\1&0.1\end{array}\right]

The points can now be graphed. I will paste a Desmos screenshot; try to see if you can find some of the indicated (x,y) values: [screenshot is attached]

I hope this helped!

7 0
3 years ago
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