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Alja [10]
3 years ago
8

Evaluate (2 minus 5 i) (p + q) (i) when p = 2 and q = 5 i.

Mathematics
1 answer:
Bumek [7]3 years ago
6 0

Answer:

29i

Step-by-step explanation:

From this information, we can write the following equation: (2-5i)(2 + 5i)(i)

We can see that there is the factorization of the difference of squares, so we can first expand that. The equation will become the following: (4+25)(i)

= 29i

hope this helped! :)

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Two tanks hold a total of 55 gallons of a toxic solvent. One tank holds 4 gallons more than twice the amount in the other. How m
Serhud [2]

Step-by-step explanation:

If x is the volume of the first tank, and y is the volume of the second tank, then:

x + y = 55

x = 2y + 4

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

2y + 4 + y = 55

3y + 4 = 55

3y = 51

y = 17

Solve for x using either equation.

x + 17 = 55

x = 38

The first tank holds 38 gallons, and the second tank holds 17 gallons.

8 0
3 years ago
Read 2 more answers
Hey can someone help me :)
Arada [10]
1.
Convert 22 miles to feet.


1 mile = 5280 feet

22 × 5280 = 116,160 feet

2.
To convert this you divide the speed by 60 since there's 60 minutes in an hour
125/60 = 2.0833....

Since you round the answer would be
2.1 miles per minute
6 0
3 years ago
HELP ASAP Keiko divided 5 cups of milk into 1/4 cup portions. How many 1/4 cup portions did Keiko have???
Anarel [89]

Answer:

20

Step-by-step explanation:

Given data

Number of cups= 5 cups

Number of portions= 1/4 portions

Hence the number of 1/4 portion can be gotten as

=5/1/4

=5*4/1

=20

Therefore, the number of 1/4 portions is 20

7 0
3 years ago
You fill 1/4 of a 5 gallon bucket. how many more gallons of water will you need to fill the bucket
Bess [88]

1/4 of a five gallon bucket is 1 1/4 gallons.

5-1 1/4=3 3/4 gallons left to fill.

Answer: 3 3/4 gallons

8 0
4 years ago
1. The mark up price of a pair of shoes which costs $125. 00 is 8. 35%. A)What is the final price? If the tax is 6 1/2% How much
Xelga [282]

Answer:

Step-by-step explanation:

Remark

The wholesale price of the shoes is 125 dollars

The retailer marks it uu to 35% more to the wholesale price.

So the price is now 125 + 35% * 125 dollars

That amount is 125 + 35/100 * 125 = 125 + 43.75 = 168.75

The government wants its cut of 6.5% of the selling price

So the final price is 168.75 + 168.75 * 6.5/100

The final price is 168.75 + 10.97 = 179.72

Answer: A customer pays 179.72 dollars.

3 0
2 years ago
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