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torisob [31]
2 years ago
11

write each of the following in the form of a x + B Y + C is equal to zero and find the values of a b and c ​

Mathematics
1 answer:
Alex_Xolod [135]2 years ago
4 0

Step-by-step explanation:

(i) 2x = 5

compare with ax+by+c = 0

→ 2x + 0.y - 5 = 0

» a = 2 ,b = 0 ,c = -5

(ii) y - 2 = 0

compare with ax + by + c = 0

→ 0.x + 1y -2 = 0

» a = 0 , b = 1 , c = -2

(iii) y/7 = 3

y = 3×7

y = 21

y - 21 = 0

compare with ax + by + c = 0

→ 0.x + 1y -21 = 0

» a = 0 , b = 1 , c = -21

(iv). x = -14/13

13x = -14

13x + 14 = 0

compare with ax + by + c = 0

→ 13x + 0.y + 14 = 0

» a = 13 , b = 0 , c = 14

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Cindy is selling circus tickets. On the first day she sells 6 adult tickets and 5 children tickets for total of 112.50. On the s
Ivahew [28]

Answer: Children tickets cost 7.50

Adult tickets cost 12.50

Step-by-step explanation:

Let a represent adult tickets

Let c represent child tickets

On the first day she sells 6 adult tickets and 5 children tickets for total of 112.50. This can be written as:

6a + 5c = 112.50 ...... equation i

On the second day she sells 8 adult tickets and 4 children tickets for the total 130. This can be written as:

8a + 4c = 130 ....... equation ii

6a + 5c = 112.50 ...... equation i

8a + 4c = 130 ....... equation ii

Multiply equation i by 4

Multiply equation ii by 5

24a + 20c = 450 ........ equation iii

40a + 20c = 650 ......... equation iv

Subtract iii from iv

16a = 200

a = 200/16

a = 12.50

Adult tickets cost 12.50

From equation ii,

8a + 4c = 130

8(12.50) + 4c = 130

100 + 4c = 130

4c = 130 - 100

4c = 30

c = 30/4

c = 7.50

Children tickets cost 7.50

7 0
2 years ago
Solve this system by substitution (3 variables) brainliest answer goes to first answer and 8 points!
Natalka [10]

Answer:Solve this system by substitution (3 variables) brainliest answer goes to first answer and 8 points!

-x -y -z = -8

-4x +4y +5z = 7

2x+2z=4

Show steps please!

Step-by-step explanation: a-z=3-2=657u568959jb5j656856 thats the answer your welcome

4 0
3 years ago
7.For tire size P225/45R17, give the following: Width(mm): _______________ Aspect Ratio (%): _______________ Height (in.): _____
irakobra [83]

The width is the first numbers.

Width = 225 mm

Aspect ratio is the second number.

Aspect ratio is 45

Aspect ratio is width / height.

You have the ratio and width so you can calculate the height:

Multiply the width by the ratio:

Height = 225 x 0.45 = 101.25 mm

101.25/25.4 = 3.98 inches

The rim

Diameter is the last number

Rim diameter = 17 inches

So the overall height would be approximately 17 + 3.98 + 3.98 = 24.96 inches

Round the answers as needed.

3 0
3 years ago
You are wearing a pair of cargo pants with six pockets. You've put $10 in one of the pockets, but you cannot remember which one.
Over [174]
There are 6 pockets all together.  You checked two of them and it wasn't
there.  So you can forget about those 2, and now there are 4 pockets left.

The total number of ways for your next try is 4.
The number that will be successful is 1.

The probability of success on the next one is  <em>1/4  =  25% .</em>

=======================================================

Another method of solution, somewhat more complex:

Total number of pockets = 6.
Amount of money missing = $10
First partial sum, i.e. sum of numbers
 in the first part of the problem = 6 + 10  =  16.

Total number of pockets  =  6
Current value of cargo pants on a fashion scale from 1 to 10  =  -2.
Second partial sum =  6 - 2  =  4.

  Probability = (second partial sum) / (first partial sum) = 4/16  =  <em>25% </em>.


5 0
3 years ago
Describe two ways you could demonstrate an acceleration of 2 meters per second squared.
LUCKY_DIMON [66]

Answer:

j do ny knosew

vhbnf

Step-by-step explanation:

6 0
3 years ago
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