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elena55 [62]
2 years ago
8

3 people sharing 1/2 quart of milk equally. What fraction of a quart of milk are they sharing

Mathematics
1 answer:
bija089 [108]2 years ago
5 0
0.16 is the correct answer
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A company offers you a job with an annual salary of $70 000 for the first year and a 5% raise every year after. Approximately ho
mariarad [96]

Answer:

$386794

Step-by-step explanation:

To be able to find how much we get in 5 years, we need to base it off the initial salary value.

So in the first year we get.

$70,000

To get how much we get in the 2nd year we add the extra 5%.

2nd year salary = (1.05)70000

2nd year salary = 73500

Now we continue to do that until the 5th year

3rd year = (1.05)73500

3rd year = 77175

4th year = (1.05) + 77175

4th year = 81033.75

5th year = (1.05) + 81033.75

5th year = 85085.44

Now we add them all up to get the total.

70000 + 73500 + 77175 + 81033.75 + 85085.44 = $386794.19 or $386794

7 0
2 years ago
A water taxi travels around an island in a path that can be modeled by the equation y =0.5(x - 16). A water skier is skiing alon
Eddi Din [679]

I realize that the equation is different, but do it in the same way, it'll help! It is given that the water​ taxi's path can be modeled by the equation y =0.5(x - 14)^2. ​Therefore, this is one of the equations in this system. Find a linear equation that will model the path of the water​ skier, which begins at the point (6,6) and ends at the point (8,-4). The slope is (-5). Use the slope and one point on the line to find the​ y-intercept of the line.  The​ y-intercept of the line that passes through the points (6,6) and (8,-4) is (0,36). Thus, the equation is y=-5x+36. Now, to determine if it is possible for the water skier to collide with the​ taxi, we have to determine if there is a solution to the system of equations. To determine if there is a solution to the system of​ equations, solve the system using substitution.​ First, write the equation that models the water​ taxi's path in standard form. y=0.5(x - 14)^2-->0.5x^2-14x+98. Use substitution. Substitute for  y in the equation and then solve for  x. As the expression on the left side of the equation cannot easily be​ factored, use the Quadratic Formula to solve for x. Do x=-b(plusorminus)sqrrtb^2-4ac/2a. Identify a, b, and c. a=0.5, b=-9, and c=62. Substitute into the Quadratic Formula. If there is a negative number under the radical, there are NO solutions. Thus, the path of the water skier will never cross the path of the taxi.

In conclusion: It is not possible that the water skier could collide with the taxi as the two paths never cross.

8 0
3 years ago
PLEASE HELP ME I REALLY NEED THIS
vichka [17]

Answer:

It is either a or b. since 8-2 does not equal 14, and 8+2 does not equal 14. I think it is most likely to be a though.

Step-by-step explanation:

3 0
3 years ago
What is the slope of y = -3x + 3?
AnnZ [28]
<span>Use the slope intercept form y=<span><span>mx</span>+b, </span></span><span>where </span><span>m</span><span> is the slope and </span><span>b</span><span> is the y-intercept. So with saying that plug your problem in so y = -3x+3 so your answer would be m=-3 which is the slope.

~Hope this Helps! Good Luck!~
</span>
8 0
3 years ago
Read 2 more answers
PLEASE HELP ASAPPPPPPPPPPPPPPP
Andru [333]

Answers:

  • a) -3
  • b)  7/3
  • c)  -1/2
  • d)  1/11
  • e)  undefined
  • f) 0
  • d)  2/3

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

Explanation:

If the original slope is a/b, then the perpendicular slope is -b/a

We flip the fraction and we flip the sign from positive to negative, or vice versa.

As an example, the slope 1/3 flips its fraction to 3/1 or just 3. Then we flip the sign to -3. So if the original slope is 1/3, then its perpendicular counterpart is -3.

Notice how the two slopes multiply to -1

(1/3)*(-3) = -1

This applies to any pair of perpendicular lines such that neither line is horizontal and neither line is vertical either.

------------------------

If the original slope is some whole number, then rewrite it as a fraction over 1

Example: 2 becomes 2/1

That way we can flip the fraction and the sign

-------------------------

If we had an original slope of 0, then it's the same as 0/1

Flipping the fraction leads to 1/0, but that's undefined. We cannot divide by zero. So that explains the answer to part e).

Going in reverse of this process, any line with undefined slope will be perpendicular to lines of slope 0.

horizontal lines have slope of 0

vertical lines have undefined slopes

-------------------------

For part g), you'll need to convert from a mixed number to an improper fraction

Use this formula

a & b/c = (a*c + b)/c

So this means,

1 & 1/2 = (1*2 + 1)/2 = 3/2

which leads to

-1 & 1/2 = -3/2

Then applying the rule "flip the fraction flip the sign" gets us from -3/2 to 2/3.

4 0
2 years ago
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