Answer:
The given expression can easily be solved by using Distributive Laws of multiplication over addition.
Step-by-step explanation:
The given expression is : 4 x 275
Now, 275 can be expressed as sum of 200 + 75 + 5
So, the given expression 4 x 275 changes to 4 x (200 + 70 + 5)
The above expression can easily be solved by using the distributive law of multiplication over addition.
So, now distributing the multiplication over addition. We get,
4 x 275 = 4 x (200 + 70 + 5)
= 4 × 200 + 4 × 70 + 4 × 5
= 800 + 280 + 20
= 1100
Using the distributive property, 4 multiplied by 275 can be mentally calculated as 1100.
To find the product of 4 multiplied by 275 using mental math and properties of numbers, we use the distributive property and break down the numbers into more manageable parts.
First, we split 275 into 200 and 75. Then, we apply the distributive property by multiplying 4 by each part separately:
⇒ 4 × 275 = 4 × (200 + 75),
Using the distributive property:
⇒ (4 × 200) + (4 × 75),
Calculating mentally:
⇒ 800 + 300,
⇒ 1100,
By breaking down numbers into easier-to-manage parts and applying distributive property, we can mentally calculate that 4 multiplied by 275 equals 1100.
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Answer:
Hence, the conjecture for the sum of first 20 positive integer is:
20×21=420
Step-by-step explanation:
The table is given as:
2 = 2 =1.2
2+4 = 6 = 2.3
2+4+6 = 12 = 3.4
2+4+6+8 = 20 = 4.5
2+4+6+8+10 = 30 = 5.6
Hence, we see the pattern as:
2+4+6+....+2n= n(n+1)
which is the sum of first n even positive integers.
Hence, we are asked to find the sum of first 20 positive even numbers that is we are asked to find the sum when n=20.
i.e. the sum of:
2+4+6+8+..........+40=20(20+1)
2+4+6+8+........+40=20×21=420.
Hence, the conjecture for the sum of first 20 positive integer is:
20×21=420
(x + 3)(5x + 6)
(x + 3)(11x)
Prime
Answer:
Option 2 is correct.
Step-by-step explanation:
Given the expression 5x(x + 3) + 6(x + 3).
We have to factorize the expression completely.
Expression is
5x(x + 3) + 6(x + 3)
Take the factor (x+3) common from both the terms, we get
(x+3)(5x+6)
Hence, option 2 is correct.
2. How many students said they would vote for Brianna?