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Margaret [11]
3 years ago
12

A superhero asked his nemesis how many cats she has. she answered with a riddle "Three-fourths of my cats plus seven" how many c

ats does the nemesis have?
Mathematics
1 answer:
liq [111]3 years ago
6 0
Let C be the number of cats of the superhero. With this, the number of cats of nemesis have is 3C/4 + 7. The numbers should be equal such that,
                                     C = 3C/4 + 7
The value of C from the equation is 28. Thus, the number of cats of the nemesis is 28. 
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Find all pairs of natural numbers which can be the solution to the equation a+b=42.
Setler [38]

Answer:

(1,41), (2,40), (3,39), (4,38), (5,37), (6,36), (7,35), (8,34), (9,33), (10,32), (11,31), (12,30), (13,29), (14,28), (15,27), (16,26), (17,25), (18,24), (19,23), (20,22), (21,21), (22,20), (23,19), (24,18), (25,17), (26,16), (27,15), (28,14), (29,13), (30,12), (31,11), (32,10), (33,9), (34,8), (35,7), (36,6), (37,5), (38,4), (39,3), (40,2), (41,1).

Step-by-step explanation:

To find all pairs of natural numbers which are solution to a+b=42, we need to first choose a value to one of them (let's choose 'a'), and that value will be the lowest possible, so we begin with a=1, and then we increase to 2, and 3, and so on.

For each value of a, we calculate the value of b using the equation.

So, starting with a=1, we have that b=41

Then, with a=2, we have that b=40, and so on.

Doing this until a=41 (so b=1 will be the lowest value possible for b), we have the pairs of natural number we want:

(1,41), (2,40), (3,39), (4,38), (5,37), (6,36), (7,35), (8,34), (9,33), (10,32), (11,31), (12,30), (13,29), (14,28), (15,27), (16,26), (17,25), (18,24), (19,23), (20,22), (21,21), (22,20), (23,19), (24,18), (25,17), (26,16), (27,15), (28,14), (29,13), (30,12), (31,11), (32,10), (33,9), (34,8), (35,7), (36,6), (37,5), (38,4), (39,3), (40,2), (41,1).

5 0
3 years ago
Solve for r and t: 6r - 3t = 6 6r + 8t = -16
Slav-nsk [51]
6r - 3t = 6     /*8
6r + 8t = - 16  /*3

48r - 24t = 48
48r + 24t = - 48
---------------------- + 
96r = 0
r = 0

t = ( -16 + 6r)/8 = - 16/8 = - 2




3 0
3 years ago
Read 2 more answers
I need help with someone explaining how to find the range of this! This course didn’t explain anything!
zaharov [31]

Answer:

(-infinity,3), D

Step-by-step explanation:

3 if x is greater than or equal to 1 is nothing. That leaves us with h(x)=2x+1 if x<1. If you substitute in 1 for x, you get 3, but of course that isn't possible, so the range is (-infinity,3), which is D.

4 0
3 years ago
Please help me with this question<br><br><br><br> pls, I really need help
Inessa [10]
Answer: x=7, y=-23
(7,-23)

Explanation:

4 0
3 years ago
Suppose a line has slope 4 and passes through the point (-2,5). Which other point must also be on the graph?
xxMikexx [17]
Slope of 4 means you add 4 to the y and 1 to the x so the answer is (-1,9)
5 0
3 years ago
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