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Alja [10]
3 years ago
8

Show an equation and a solution. How much pure antifreeze must be added to 12 L of a 40% solution to obtain a 60% solution. (Rem

ember that pure antifreeze is 100% = 1.)
Mathematics
1 answer:
erastova [34]3 years ago
5 0
6 litres because ...
12/40 = 1 ratio them x 60 for 60% which is 18 and since you have 12l already just do 18-12 = 6
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103-39= how do you borrow from zero?
IRINA_888 [86]
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3 years ago
HELP PLEASE ITS DUE N 20
spin [16.1K]
Tried my best here, but sorry if they are wrong
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Read 2 more answers
Joaquim earns a salary of $4,000 per month plus a 6% commision on all of his sales. He wants to earn more than 7,000 next month.
andrew11 [14]

Answer:

s=salary

x=sales

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Step-by-step explanation:


3 0
3 years ago
Vector v is shown in the graph.
Elis [28]

Question 4

<h3>Answer: Choice D</h3>

Explanation:

If the initial point is the origin, the coordinates of the terminal point form the vector itself in component form. We go from (-8,6) to <-8,6>. The notation change is from ordered pair to vector format.

We have a right triangle with legs of 8 and 6 units. The pythagorean theorem will help us determine the hypotenuse is 10. Therefore, the vector length is 10 units and we would say ||v|| = 10. We have a 6-8-10 right triangle.

===========================================================

Question 5

<h3>Answer: Choice B</h3>

Explanation:

Vector v starts at (2,5) and ends at (-3,-2).

The x component of the vector is x2-x1 = -3-2 = -5 meaning we move 5 units to the left when going from the start point to the endpoint.

At the same time we move 7 units down because y2-y1 = -2-5 = -7 which is the y component of the vector.

The component form of vector v is

v = <-5, -7>

it says "move 5 units left, 7 units down".

Apply the pythagorean theorem to find the length of the vector.

a^2+b^2 = c^2

c = sqrt(a^2 + b^2)

||v|| = sqrt( (-5)^2 + (-7)^2 )

||v|| = 8.602 which is approximate.

Now let's use the arctangent function to find the angle

theta = arctan(b/a)

theta = arctan(-7/(-5))

theta = 54.462 which is also approximate.

There's a problem however. This angle is in Q1 but the vector <-5,-7> is in Q3. An easy fix is to add on 180 to rotate to the proper quadrant.

54.462+180 = 234.462

which is the proper approximate angle for theta.

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1 year ago
Two drivers are exploring the bottom of a trench in the Pacific Ocean. Dominic is at 175 feet below the surface of the ocean and
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\huge\boxed{\text{Dominic}}

In this problem, 0 represents the sea level. Since Dominic is 175 feet below the surface (sea level), his current location is at -175 feet.

The same concept can be applied to Karen, who is at -138 feet.

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3 years ago
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