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BabaBlast [244]
4 years ago
10

A movie rental website charges $5.00 per month for membership and $1.25 per movie.

Mathematics
1 answer:
denis-greek [22]4 years ago
4 0
To solve this problem, I would transfer this word problem into an equation with variables.

let the variable m stand for the amount of movies andrew rents.

5.00+1.25m=16.25

Now that we have our equation, we can just solve it like any other equation.
To do this, first, we would subtract 5.00 from both sides, resulting in the equation

1.25m=11.25

Next, we would divide both sides by 1.25, resulting in your final answer

m=9.

This means that Andrew rented 9 movies if his total was 16.25
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Match each quotient with its answer when expressed in the form of a + bi.
kykrilka [37]

There is a typo in the available options for this problem. BOTH options B and E are 3/25+4/25i. One of those options should be 3/25-4/25i. So check your problem carefully and be sure to select the correct answer.

1. D. 1 + 0i
2. A. -7/25 + 24/25i
3. B or E, 3/25 + 4/25i
4. F. 3-4i
5. B or E, 3/25 - 4/25i
6. C. -7/25 -24/25i

For this problem, you need to perform complex division, then select the matching answer from the available options. In order to perform a complex division, simply multiply the numerator and denominator by the conjugate of the denominator. The conjugate of the denominator is simply the denominator with the sign of the complex term inverted. So:
1. i/i
Let's rewrite as (0 + i)/(0 + i)
(0 + i)/(0+i) * (0 - i)/(0 - i) 
= (0*0 + 0*i - 0*i - i^2)/(0*0 + 0*i - 0*i - i^2)
= (0 - -1)/(0 - -1)
= 1/1
= 1 + 0i which is option "D"

2. 3+4i/3-4i
3+4i/3-4i * 3+4i/3+4i
= (9 + 12i + 12i + 16i^2) / (9 - 12i + 12i - 16i^2)
= (-7 + 24i) / 25
= -7/25 + 24/25i, which matches option "A"

3. 1/3-4i
1/3-4i * 3+4i/3+4i
= (3 + 4i)/(9 + 12i - 12i - 16i^2)
= (3 + 4i)/(9 - -16)
= (3 + 4i)/25

= 3/25 + 4/25i, which matches option "B" or "E". BE SURE TO SELECT THE
CORRECT OPTION. You want 3/24 PLUS 4/25i.

4. 3-4i/1 
3-4i/1 * 1/1 = 3-4i, which matches option "F"

5. 1/3+4i 
1/3+4i * 3-4i/3-4i
= 3-4i/(9 + 12i - 12i - 16i^2)
= 3-4i/25
= 3/25 - 4/25i, which matches option "B" or "E". BE SURE TO SELECT THE
CORRECT OPTION. You want 3/24 MINUS 4/25i.


6. 3-4i/3+4i
3-4i/3+4i * 3-4i/3-4i
= (9 - 12i - 12i + 16i^2) / (9 - 12i + 12i - 16i^2)
= (9 - 12i - 12i + -16) / (9 - 12i + 12i - -16)
= (-7 - 24i) / 25
= -7/25 -24/25i, which matches option "C"
4 0
3 years ago
Read 2 more answers
Please help ASAP I am very dumb​
igomit [66]

Answer:

C

Step-by-step explanation:

calculate like terms, then it is pretty simple from there.

4 0
4 years ago
Read 2 more answers
Please help me with this
MArishka [77]

Answer:

1850is the correct answer

8 0
3 years ago
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100 points & brainliest if you get it correct!
PolarNik [594]

Answer:

1. Brand 1 has a better unit price of (about) $2.14.

2. Brand 1 is the better deal.

$2.14/lb is the unit price of this brand.

Step-by-step explanation:

Question 1:

B1: $12.19 / 5.7 lbs = about $2.14

B2: $2.15

$2.14 < $2.15

4 0
3 years ago
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Priya starts with $50 in her bank account. She then deposits $20 each week for 12 weeks.
liubo4ka [24]

Answer:

10 weeks

Step-by-step explanation:

20x+50=250

First subtract 50 from both sides, which gives you 20x=200

then divide 20 from both sides which gives you x=10

3 0
3 years ago
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