To write an equation to represent a given information, the equations are to
expresses the information conveyed in the situation.
The two equations that represent the given information are;
- <u>5.6·x + 4·y = 133.6</u>
Reasons:
The given information are;
Mass of the large boxes = 5.6 kg
Mass of the small boxes = 4 kg
Number of boxes delivered = 25 boxes
Total mass of the boxes delivered = 133.6 kg
Number of the 5.6 kg box delivered = x
Number of the 4 kg boxes delivered = y
Required:
To form two equations in terms of <em>x</em> and <em>y</em> to represent the situation.
Solution:
The two equations are;
- The number of boxes delivered = <u>x + y </u><u>= 25</u>
- Total weight of the boxes delivered = <u>5.6·x + 4·y </u><u>= 133.6</u>
<em>Solving the above equations with a graphing calculator gives;</em>
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Learn more about writing equations here:
brainly.com/question/15790322
Answer:
C) √5(cos(117°) +i·sin(117°))
Step-by-step explanation:
The rectangular number a+bi can be written in polar form as ...
√(a^2+b^2)×(cos(arctan(b/a)) + i·sin(arctan(b/a)))
Here, we have a=-1, b=2, so the magnitude is ...
√((-1)^2 +2^2) = √(1+4) = √5
and the angle is ...
arctan(2/(-1)) = arctan(-2) ≈ 116.565° . . . . . a 2nd-quadrant angle
Then you have ...
-1 +2i = √5(cos(117°) +i·sin(117°)) . . . . . . customary "polar form"
_____
Comment on the answer
The "polar form" is generally written as ...
(magnitude)·(cos(angle) +i·sin(angle))
You may also see it as ...
(magnitude) cis (angle) . . . . . . . where "cis" is shorthand for "cos + i·sin"
In my engineering courses, we often used the form ...
(magnitude) ∠ (angle)
The form used by my calculator is ...
(magnitude)·e^(i·angle) . . . . . where angle is usually in radians
Answer:
7 1/2 quart of paint
Step-by-step explanation:
To get the correct color, Johan mixed 3 1/4 quart of white paint, 1 2/4 quart of blue paint, and 2 3/4 quart of green paint. How much paint did Johan make? *
The above question is solved as:
3 1/4 quart + 1 2/4 quart + 2 3/4 quart
Lowest common denominator = 4
3 + 1 + 2 + ( 1/4 + 2/4 + 3/4)
= 6 + ( 1 + 2 + 3/4)
=( 6 + 6/4) quart
= 6 + 1 2/4 quart
= 7 2/4 quart of paint
= 7 1/2 quart of paint
Therefore, Johan made 7 1/2 quart of paint
Answer:
0.222
Step-by-step explanation:
V = (4cm)(5cm)(3cm) = 60 cm³
M = 120g
<u><em>Density = M/V = (120g)/(60cm³) = 2 g/cm³</em></u>
