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erma4kov [3.2K]
4 years ago
8

What is the sum of each pair of hexadecimal integers? a. 6b4 + 3fe b. A49 + 6bd?

Mathematics
1 answer:
Korolek [52]4 years ago
6 0

Answer:

a)   AB2

b)   1106

Explanation:

Hex addition can be achieved through repeated subtraction of 16 from the decimal sum of same place values of hex numbers until the result is reached to one of the hex digits from 0 to F. The carry increases by 1 where each time the number 16 is subtracted from the hex numbers decimal sum. The below example lets you understand how to perform hex numbers addition

(a)   6B4 + 3FE

                   6 B 4

               +  3 F E

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

                  A B 2      


(b)        A 4 9

       +  6 B D

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

         1 1 0 6

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A movie theater has a seating capacity of 329. The theater charges $5.00 for children, $7.00 for students, and $12.00 of adults.
kipiarov [429]

Answer:

170 children

74 students

85 adults

Step-by-step explanation:

Given

Let:

C = Children; S = Students; A = Adults

For the capacity, we have:

C + S + A = 329

For the tickets sold, we have:

5C + 7S + 12A = 2388

Half as many as adults are children implies that:

A = \frac{C}{2}

Required

Solve for A, C and S

The equations to solve are:

C + S + A = 329 -- (1)

5C + 7S + 12A = 2388 -- (2)

A = \frac{C}{2} -- (3)

Make C the subject in (3)

C = 2A

Substitute C = 2A in (1) and (2)

C + S + A = 329 -- (1)

2A + S + A = 329

3A + S = 329

Make S the subject

S = 329 - 3A

5C + 7S + 12A = 2388 -- (2)

5*2A + 7S + 12A = 2388

10A + 7S + 12A = 2388

7S + 22A = 2388

Substitute S = 329 - 3A

7(329 - 3A) + 22A = 2388

2303 - 21A + 22A = 2388

2303 +A = 2388

Solve for A

A = 2388 - 2303

A = 85

Recall that: C = 2A

C = 2 * 85

C = 170

Recall that: S = 329 - 3A

S = 329 - 3 * 85

S = 329 - 255

S = 74

Hence, the result is:

C = 170

S = 74

A = 85

8 0
3 years ago
In winter, the price of apples suddenly went up by$0.75 per pound. Sam bought 3 pounds of apples at the new price for a total of
White raven [17]

From the information given, the original price per pound was increased by $ 0.75
Let the original price be x, so the new price is x + 0.75

Sam bought 3 pounds of apples at new price and it cost him 5.88

so we form an equation:

3 (x + 0.75) = 5.88

3x + 2.25 = 5.88

3x = 5.88 - 2.25

3x = 3.63

x = 3.63 / 3

x = 1.21

Therefore the original price per pound is 1.21 dollars


4 0
3 years ago
Read 2 more answers
The school chorus has 52 students which represents 26% of the seventh graders. How many students are in the seventh grade
barxatty [35]

Answer:

There are 200 students in the seventh grade.

Step-by-step explanation:

For equations like these, you have to use the is/of formula, which is:

Percent/100 = is/of.

Since you are trying to find how many students are in the seventh grade, this means that 52 <u><em>is</em></u> 26% of the total amount of students in the seventh grade. So, the formula would look like so:

26/100 = 52/n.

Next, you have to cross multiply, which means you would multiply 26 by n, and 52 by 100.

Then, you are going to have this left over from the cross multiplying:

5200 = 26n.

Divide 26 on both sides, leaving you with:

1n = 200, or n = 200.


8 0
3 years ago
.24 of the jackets for sale at a clothing store are blue. If this represents 15% of all jackets in the
bulgar [2K]

Answer:

165 jackets or 85%

Step-by-step explanation:

8 0
3 years ago
How many triangles can be constructed with sides measuring 1m, 2m, and 2m ??
Oksana_A [137]

Answer:

C. One

Is your answer. :D

5 0
3 years ago
Read 2 more answers
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