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Harrizon [31]
3 years ago
6

Subtract the second expression from the first.​

Mathematics
1 answer:
Andrej [43]3 years ago
6 0

Answer:

<h2><u>Solution :-</u></h2>

i) Given expressions are 2a + b, a + b

On Subtracting second expression form the first expression

=> (2a+b) -(a+b)

=> 2a+b-a-b

=> (2a-a)+(b-b)

=> a+0

=> a

ii) Given expressions are - 2b + 2c, b + 3c

On Subtracting second expression form the first expression

=> (- 2b + 2c)-( b + 3c)

=> -2b+2c-b-3c

=> (-2b-b)+(2c-3c)

=> -3b-c

iii) Given expressions are 5a + b, - 6b + 2a

On Subtracting second expression form the first expression

=> (5a + b)-(- 6b + 2a )

=> 5a+b+6b-2a

=> (5a-2a)+(b+6b)

=> 3a+7b

iv) Given expressions are a³-1+a, 3a-2a²

On Subtracting second expression form the first expression

=> (a³-1+a)-(3a-2a²)

=> a³-1+a-3a+2a²

=> a³-1-2a+2a²

=> a³+2a²-2a+1

v) Given expressions are p + 2,1

On Subtracting second expression form the first expression

=> (p+2)-(1 )

=> p+2-1

=> p+1

vi) Given expressions are x + 2y + z , -x - y - 3z

On Subtracting second expression form the first expression

=> (x + 2y + z )-(-x - y - 3z )

=> x+2y+z+x+y+3z

=> (x+x)+(2y+y)+(z+3z)

=> 2x+3y+4z

vii) Given expressions are 3a²-8ab-2b²,3a²-4ab+6b²

On Subtracting second expression form the first expression

=> (3a²-8ab-2b²)-(3a²-4ab+6b²)

=> 3a²-8ab-2b²-3a²+4ab-6b²

=> (3a²-3a²)+(-8ab+4ab)+(-2b²-6b²)

=> 0+(-4ab)+(-8b²)

=> -4ab-8b²

viii) Given expressions are 4pq-6p²-2q²,9p²

On Subtracting second expression form the first expression

=> (4pq-6p²-2q²)-(9p²)

=> 4pq-6p²-2q²-9p²

=> 4pq-15p²-2q²

ix) Given expressions are 10abc,2a²+2abc-4b²

On Subtracting second expression form the first expression

=> (10abc)-(2a²+2abc-4b²)

=> 10abc-2a²-2abc+4b²

=> 8abc-2a²+4b²

x) Given expressions are a²+ab+c², a²-d²

On Subtracting second expression form the first expression

=> (a²+ab+c²)-( a²-d²)

=> a²+ab+c²-a²+d²

=> (a²-a²)+ab+c²+d²

=> 0+ab+c²+d²

=> ab+c²+d²

Hope this helps!!

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A small theater had 8 rows of 23 chairs each. Workers just removed 6 of these chairs. How many chairs are left?
horsena [70]

Answer:

178 chairs

Step-by-step explanation:

(something) rows of (something) columns always means to multiply. So, let's multiply 8 x 23:

8 × 23 = 184

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5 0
3 years ago
In 5 years, Dad will be three times as old as his daughter Jill will be then. If the sum of their present ages is 50, how old ar
Nataliya [291]
The answer is <span>b.3x + 15 = 55 - x
</span>
x - Jill's present age
y - dad's present age

<span>In 5 years, Dad will be three times as old as his daughter Jill will be then:
y + 5 = 3(x + 5)

</span><span>The sum of their present ages is 50:
x + y = 50

We have the system of two equations now:
</span>y + 5 = 3(x + 5)
x + y = 50

Let's rearrange the second equation:
If:         x + y = 50     
Then:  y = 50 - x

Now, substitute y from the second equation (y = 50 - x) into the first one:
y + 5 = 3(x + 5)
50 - x + 5 = 3(x + 5)
50 + 5 - x = 3*x + 3*5
55 - x = 3x + 15

Rearrange it a bit:
3x + 15 = 55 - x
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5 0
3 years ago
17. A company wanted to determine what percentage of its employees stayed for at least 1, 2, and
Vikki [24]

Answer:

Option B. 0.71

Step-by-step explanation:

There are 200 males and 300 female employees in the company.

The percentage of its employees are given who stayed for at least 1, 2 and 3 years.

                    1 year          2 years          3 years

Male              0.67              0.45             0.20

Female         0.73               0.64              0.39

Number of male employees who stayed at least one year = 0.67 × 200

                                                                                                 = 134

Number of female employees who stayed at least 1 year = 0.73 × 300

                                                                                               = 219

Total employees who stayed at least 1 year = 134 + 219 = 353

Total employees in the company = 200 (males) + 300 (females)

                                                       = 500 employees

Probability that an employee stayed for at least one year = \frac{353}{500}

                                                                     = 0.706 ≈ 0.71

Option B 0.71 is the answer.

8 0
3 years ago
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