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77julia77 [94]
3 years ago
7

Solve for k. 8(10 - k) = 2

Mathematics
1 answer:
scoundrel [369]3 years ago
8 0

Answer:

k= 39/4; k = 9.75; k= 9  3/4

Step-by-step explanation:

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Mrs Thomas earns 18.80 per hour for the first 40 hours of work in a week .He earns 1 and a half times and that amount per hour f
s2008m [1.1K]

Answer:

Step-by-step explanation:

Mr Thomas earns 18.80 per hour for the first 40 hours of work in a week. This means that the total amount that he earned in the first

40 hours of work would be

40 × 18.8 = $752

He earns 1 and a half times and that amount per hour for each hour he works over 40 hours in a week. This amount per hour would be

1.5 × 18.8 = $28.2

Last week, Mr Thomas worked 45.5 hours. The extra hours that he worked is 45.5 - 40 = 5.5 hours.

Amount earned for 5.5 hours is

5.5 × 28.2 = $155.1

Total amount that Mr Thomas earned is

752 + 155.1 = $907.1

4 0
3 years ago
You are given a 16-bit binary integer X= (1110 0100 0111 1010)2 . Convert X to decimal if:
podryga [215]

Step-by-step explanation:

a). The decimal numbers is equal to the sum of binary numbers $(b_n)$  times their powers of   $ 2(2^n) .$

That is,

$ b_n \times 2^n + b_{n-1} 2^{n-1}+ ..... + b_02^0 $

$\therefore (1110 \ \ 0100 \ \ 0111 \ \ 1010)_2 $

=  $ (0 \times 2^0) + (1 \times 2^1) + (0 \times 2^2) + (1 \times 2^3) + (1 \times 2^4) + (1 \times 2^5) + (1 \times 2^6)  + ( 0 \times 2^7) + (0 \times 2^8) + (0 \times 2^9) + (1 \times 2^{10} ) $$  + (0 \times 2^{11}) + (0 \times 2^{12}) + (1 \times 2^{13}) + (1 \times 2^{14})+ (1 \times 2^{15})$

= 58490

b).

The left most bit of the number represents the sign of the number. If bit = 1, the number is negative else if the bit is 0, the number is positive.

All the remaining bits (i.e all the bits except the leftmost bit) represent the magnitude of the number.

  Now, X = 1110 0100 0111 1010

  left most bit = 1 => number is negative

  remaining bits Y = 110 0100 0111 1010

  converting Y to decimal => Y = 25722

c).

Check the leftmost bit(lmb) of the number

if leftmost bit is 0 => convert do the binary to decimal conversion

if leftmost bit is 1, follow the following steps

  1. Flip the bits (convert the 0's into 1's and the vice versa)

  2. convert the new number from binary to decimal.

  3. Add a negative sign / multiply by -1

 Now, X = 1110 0100 0111 1010

left most bit = 1;

flipping the bits => Y = 0001 1011 1000 0101

converting Y into decimal => Y = 7045

multiplying Y with -1 => Y = -7045

Therefore, one's complement of X to decimal is -7045

Thus, X = -25722 in decimal.

d).

Check the leftmost bit(lmb) of the number

  if leftmost bit is 0 => convert do the binary to decimal conversion

  if leftmost bit is 1, follow the following steps

  1. Flip the bits (convert the 0's into 1's and the vice versa)

  2. convert the new number from binary to decimal.

  3. Add 1 to the converted number

  4. Add a negative sign / multiply by -1

Now, X = 1110 0100 0111 1010

left most bit = 1;

flipping the bits => Y = 0001 1011 1000 0101

converting Y into decimal => Y = 7045

Adding 1 to Y => Y = 7046

multiplying Y with -1 => Y = -7046

Thus, two's complement of X to decimal is -7046

7 0
3 years ago
A principal randomly chose 30 students from grade 8. Of these students, 9 were wearing watches. Based on this information, what
hram777 [196]

Answer:

im pretty sure 36

Step-by-step explanation:

if you do 120 devided by 30 you get 4, then u just multipy by 9 which is 36.

5 0
3 years ago
Which of the following is(are) the solution(s) to 16x-51- 7?
nexus9112 [7]
X= -2 because I love school soooo much
5 0
2 years ago
Read 2 more answers
Help please ........
Nitella [24]

Answer:

D

Step-by-step explanation:

eh too lazy to explain but plz trust me

5 0
2 years ago
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