Answer:
Length = 6 cm and width = 4 cm.
Step-by-step explanation:
Let the width be x, then the length is x + 2 cm and its area = x(x + 2).
The new width and length are x + 4 and x + 6, and the new area is
(x + 4)(x + 6).
So we have the equation:-
(x + 6)(x + 4) = x(x + 2) + 56
x^2 + 10x + 24 = x^2 + 2x + 56
10x - 2x = 56 - 24
8x = 32
x = 4 cm = width
and length = 4 + 2 = 6 cm
Answer:
7x/12
Step-by-step explanation:
Let her entire allowance be represented by 'x'
She spent 5/8 of 2/3 of her allowance on magazines.
= 5/8×2/3
= 10/24
= 5/12
That 5/12 of 'x'
5/12x
Since her total allowance is x
She will be left with = x - 5/12x
x/1 - 5/12x
12x-5x/12x
= 7x/12
Hence she will be left with 7x/12
The solution of the expression ( -x²y)/(-xy)² will be ( -1 / y).
<h3>What is an expression?</h3>
Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
The given expression will be solved as below:-
( -x²y)/(-xy)² = ( -x²y)/(-x²y²)
Divide -x² by -x² it will become -y / y²
= -y / y²
Divide -y by -y² then it will become -1 / y.
= -1 / y
Therefore, the solution of the expression ( -x²y)/(-xy)² will be ( -1 / y).
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The idea behind this is grouping 10s together in the product.
Please check the attached table for entire sheet.
Answer:
B) 60
Step-by-step explanation:
5*2*3*2=60 types by multiplying all the categories together.