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mafiozo [28]
3 years ago
12

(197)^2-(97)^2 evaluate without using calculator or table​

Mathematics
1 answer:
Bezzdna [24]3 years ago
3 0

Answer:

29400

Step-by-step explanation:

formula:  \\  {a}^{2}  -  {b}^{2}  = (a + b)(a - b) \\ ( {197)}^{2}  - ( {97)}^{2}  \\  = (197 + 97)(197 - 97) \\  = 294 \times 100 \\  = 29400 \\

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Stephen, Gavin and Jim share some sweets in the ratio 4:1:2. Stephen gets 30 more sweets than Jim. How many sweets are there alt
Kamila [148]

Answer:

105 sweets

Step-by-step explanation:

There are 4 + 1 + 2 = 7 parts in total

Stephen gets 4 parts (or 4x)

Jim gets gets 2 parts (or 2x)

Given,

Stephen gets 30 more than Jim, we can write:

Stephen = Jim + 30

or

4x = 2x + 30

We can solve for "x":

4x = 2x + 30\\4x-2x=30\\2x=30\\x=15

There are 7 parts of sweets altogether (or 7x), we know x so:

There are:

7 * 15 = <u>105 sweets</u> altogether

7 0
3 years ago
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3 0
3 years ago
Which equation represents 5 = 2x + 7 when solved for<br> X2
IgorLugansk [536]

Answer:x=1

Step-by-step explanation:hope i helped

8 0
3 years ago
Missing side length
ratelena [41]

Answer:

Since ΔABC ~ ΔQRS, we know that:

=> AB/QR = BC/RS

=> 2/n = 6/15

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6 0
4 years ago
The perimeter of the rectangle below is 84 unit . Find the length side of XY
lesya [120]

Answer:

25 unit

Step-by-step explanation:

See attachment for the missing figure.

Assuming the complete question is:

Side UY = 4z-1  

Side UV = 5z+3  

Perimeter of rectangle is given by:

2UY+2UV=P

2(4z-1)+2(5z+3)=84

8z-2+10z+6=84

18z+4=84

18z = 84 -4 =>

18z = 80

z= 4.45 unit

Side UV = 5z+3 => 5(4.45) + 3

Side UV ≈ 25 unit

SInce, Side UV = Side XY

Side XY≈ 25 unit

5 0
3 years ago
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