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ValentinkaMS [17]
3 years ago
11

Consider the equations shown: ax + by = ab & 2ax + 3by = 3b Which of these is the value of y in terms of a? Option 1 : y = 3

a – 35 Option 2 : y = 2ab – 3b Option 3 : y = 9a – 35 Option 4: y = 3 – 2a
Mathematics
1 answer:
3241004551 [841]3 years ago
6 0

Answer:

<h3>Option 4: y = 3 – 2a</h3>

Step-by-step explanation:

Given the simultaneous equation;

ax + by = ab  ......... 1

2ax + 3by = 3b .....2

Required

Express y in terms of a

Using elimination method to eliminate x variable.

eqn 1 * 2 and eqn 2 *1 will give;

2ax + 2by = 2ab

2ax + 3by = 3b

Subtract

2by - 3by = 2ab - 3b

-by = 2ab - 3b

-by = b(2a-3)

-y = 2a-3

multiply through by -1

y = -2a + 3

y = 3-2a

Hence the value of y in terms of a is y = 3-2a

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The probability for success of an event is P(A), and the probability of success of a second, independent event is P(B). What is
Alborosie

Given:

The probability for success of an event is P(A)

The probability of success of a second, independent event is P(B).

To find:

The probability of both events occurring, in that order.

Solution:

If A and B are two independent events, then

P(A\cap B)=P(A)\cdot P(B)

It is given that,

The probability for success of an event is P(A)

The probability of success of a second, independent event is P(B).

Since A and B both are independent event and we need to find the probability of both events occurring, in that order, i.e., P(A\cap B), therefore P(A\cap B)=P(A)\cdot P(B).

Hence, the correct option is A.

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3 years ago
Which buying method involves ordering a set amount of inventory at regular times? A. Last in first out B. Fixed order C. Just in
bixtya [17]

Answer:

fixed order

Step-by-step explanation:

5 0
3 years ago
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kirill115 [55]

Okaayyy

Set B has the greater mode

7 0
3 years ago
X = – 2y – 1<br> x = – 5y + 5
motikmotik

Answer:

x = -5

y = 2

Step-by-step explanation:

x = – 2y – 1

= -x - 2y - 1

-x - 2y = 1

x = – 5y + 5

= -x - 5y + 5

-x - 5y = -5

-x - 2y = 1

-x - 5y = -5

___________--

3y = 6

y = 6/3

<u>y = 2</u>

-x - 2y = 1

-x - 2(2) = 1

-x - 4 = 1

-x = 1 + 4

-x = 5

<u>x = -5</u>

6 0
3 years ago
Can someone please help??
Vsevolod [243]

Answer:

let the number of cows = x

let the number of chickens = y

since there are 42 heads:

x + y = 42

and since a cow has 4 legs, and a chicken has 2

4x + 2y = 144

from first equation:

x + y  = 42

x = 42 - y (now, we will substitute this in the second equation)

4(42 - y) + 2y = 144

168 - 4y + 2y  = 144

2y = 168 - 144

2y = 24

y = 12

now, we know the number of chickens. we will replace y with 12 in the first equation since it is more simpler

x + 12 = 42

x = 30

So, there are 30 cows and 12 chickens

Brainly it if you find the answer helpful

5 0
3 years ago
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