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Paul [167]
3 years ago
13

six grapefruit cost as much as a dozen of oranges.the cost of a dozen grapefruit and two dozen oranges is $12.how much does one

grapefruit cost
Mathematics
2 answers:
Nuetrik [128]3 years ago
8 0

6 grapefruit=$3

12 oranges =$3


each grapefruit is .50 cents

horrorfan [7]3 years ago
6 0

One grapefruit will cost $1.

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Given z1 = 1+i and z2 = 2+3i.
Margaret [11]

Answer:

(a) w=2+5i-6=-4+5i

Multiplicative inverse of w will be \frac{1}{-4+5i}

(B) As w is same as the product of z_1\ and\ z_2

So there multiplicative inverse will also be same

Step-by-step explanation:

We have given two complex numbers

z_1=1+i and z_2=3+2i

(a) First we have to find w=z_1z_2

So w=(1+i)(2+3i)=2+3i+2i+6i^2=2+5i+6i^2

As we know that i^2=-1

So w=2+5i-6=-4+5i

Multiplicative inverse :

It is that number when multiply with the number which we have have to find the multiplicative inverse gives result as 1

So multiplicative inverse of w will be \frac{1}{-4+5i}

Because when we multiply -4+5i with \frac{1}{-4+5i} it gives result as 1

(b) As w is same as the product of z_1\ and\ z_2

So there multiplicative inverse will also be same

4 0
3 years ago
1. Suzie had d DVDs. Her mother bought her 39 more DVDs.
Fantom [35]

Answer:

1. The expression that represents the total number of DVDs Suzie has is d + 39

2. The expression for the amount Dave pays for t hours of practice in a month is 10 + 2 × t

3. The expression for the total cost for n people invited for the party is $50 + $5 × n

4. The expression for the perimeter of a square with side length, x is 4 × x

5. The expression for the total cost of pizza with n extra toppings is $8 + $2 × n

6. The expression for the total cost in phone charges after t months is $25 + t × $15

7. The expression for the total number of hockey sticks for n players is 4 × n

8. The relation that represent the term for each number pattern is given as follows;

Value = nth term of number

9. The relation for the perimeter of an equilateral triangle with side length k is given as follows;

Perimeter of an equilateral = 3 × Side length

∴ Perimeter of the given equilateral triangle = 3 × k

When k = 15, we have;

Perimeter of the equilateral triangle = 3 × 15 cm = 45 cm

10. a) The relation for the total cost of j jersey is $50 + $15 × j

b) The relation for the total cost of j jersey by the other company is $80 + $12 × j

c) The charges for 12 jerseys by the first company is $50 + $15 × 12 = $230

The charges for 12 jerseys by the first company is $80 + $12 × 12 = $224

Therefore, the second company will charge less if 12 jerseys are ordered

11. The real life situation that could be represented by each relation are;

a. n + 7

For every mass in grams of goods bought, n, we get a 7 gram mass of packaging

b. 4s + 5

The distance from a point covered by jogging at 4 m/s after s seconds while starting at 5 meters away from the point in the direction of jogging

12. a) The relation for the total number of music stand is n/2

b) The relation for the total number of chairs is n + 4

c) The relation for the total number of sheets of music is 7 × n

Step-by-step explanation:

8 0
3 years ago
Katherine v
maks197457 [2]

Answer:

13/102

Step-by-step explanation:

In a standard deck of 52 cards, there are 13 black spades, 13 black clubs, 13 red diamonds and 13 red hearts. There are 26 <u>black </u>cards in the deck of 52 cards.

Probability of drawing a black card = 26/52 = 1/2

Suppose we drew the black card. There are now <u>only 51</u> cards left in the deck. ALL of the hearts are still there - <u>13</u> of them.

Probability of drawing a heart from this deck of 51  = 13/51

In general, for the probability of event A <u>and then</u> event B, we multiply.

1/2 x 13/51 = 13/102

6 0
3 years ago
The scale of a model airplane is 1:72.
ExtremeBDS [4]
The actual wingspan of the airplane would be 504 which isn't an answer but maybe you just typed A. in incorrectly <span />
4 0
3 years ago
Help please!!! I don’t understand
Murljashka [212]
I believe the answer is vertical stretch
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2 years ago
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