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Morgarella [4.7K]
2 years ago
13

scientist needs 120 liters of a 20% acid solution for an experiment. The lab has available a 25% and a 10% solution. How many li

ters of the 25% and how many liters of the 10% solutions should the scientist mix to make the 20% solution?
Mathematics
1 answer:
sattari [20]2 years ago
4 0

Answer:

The scientist needs 80 liters of 25% solution and 40 liters of 10% solution.

Step-by-step explanation:

If x is the liters of 25% solution, and y is the liters of 10% solution, then:

x + y = 120

0.25x + 0.10y = 0.20(120)

Solve the system of equations using substitution or elimination.  Using substitution:

0.25x + 0.10(120 − x) = 0.20(120)

0.25x + 12 − 0.10x = 24

0.15x = 12

x = 80

y = 40

The scientist needs 80 liters of 25% solution and 40 liters of 10% solution.

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Answer:

B. Inscribed equilateral triangle.

Step-by-step explanation:

An equilateral triangle is a type of triangle that has all sides to have the same length.

An inscribed figure or shape is one which has been constructed within the boundaries of another figure or shape.

In the given question, the markings is construction of an inscribed equilateral triangle. This procedure of the construction after completion, generate the triangle as shown in the construction attached to this answer.

4 0
3 years ago
Could someone please help? They don’t need to be solved I just need help with the translating.
Lorico [155]

Answer:

I won't solve i'll translate like you asked

Step-by-step explanation:

13) x - 5 = 21

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5 0
3 years ago
What is 5+3.2n-6-4.8n=
Svetllana [295]

Answer:

-1-1.6n

Step-by-step explanation:

5+3.2n-6-4.8n

add like terms

-1-1.6n

4 0
3 years ago
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saveliy_v [14]

Answer:(0,6)

Step-by-step explanation:

Solve for Y if X =0

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3 0
3 years ago
What is the radian measure of the central angle of a circle of radius 1.5 meter that intercepts an arc of length 600 centimeters
Maksim231197 [3]

Radian measure of the central angle is 4 radian

<em><u>Solution:</u></em>

Given that,

A circle of radius 1.5 meter that intercepts an arc of length 600 centimeters

To find: Radian measure of the central angle

Let us find the circumference of circle

The circumference of circle is given as:

\text{ circumference of circle } = 2 \pi r

Where "r" is the radius of circle

\text{ circumference of circle } = 2 \times \pi \times 1.5 = 3 \pi

Therefore circumference of circle = 3 \pi meters , which subtends central angle of  2 \pi radian

Given that arc of length 600 centimeters. Let us convert 600 centimeter to meter

We know that, to convert centimeter to meter divide the length value by 100

\text{ 600 centimeter } = \frac{600}{100} \text{ meter } = 6 \text{ meter}

<u><em>Therefore arc of 6 meter will subtend a central angle of:</em></u>

\rightarrow \frac{6}{3 \pi} \times 2 \pi = 4

Therefore radian measure of the central angle is 4 radian

7 0
2 years ago
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