which pair of of expressions are equivalent? A. 10(x+4) and 10x+14 B. 3(x+5) and 3x + 5 C. x+x+x+1+1+1 and 3(x+1) D. x+x+x+x+1+1+1+1 and 8x

C. x+x+x+1+1+1 and 3(x+1)

Step-by-step explanation:

Algebraic Expressions

Some algebraic expressions are equivalent to others if the correct operations are done on them.

A. 10(x+4) must be operated by multiplying 10 by x and 10 by 4, thus:

10(x+4) = 10x + 40.

This choice is not correct

B. 3(x+5) must be operated by multiplying 3 by x and 3 by 5, thus:

3(x+5) = 3x + 15.

This choice is not correct

C. x+x+x+1+1+1 is equivalent to an expression where like terms are collected, that is. x+x+x=3x and 1+1+1=3, thus:

x+x+x+1+1+1=3x+3=3(x+1)

This choice is correct

D. x+x+x+x+1+1+1+1 in a similar way as explained above, like terms must be correctly collected: D. x+x+x+x=4x and 1+1+1+1=4, thus

D. x+x+x+x+1+1+1+1 = 4x+4 = 4(x+1)

This choice is not correct

percentage - 25%

probability - 0.25

we know,

total amount of students in class = 20

total boys = 10

total girls = 10

no of girls who wear glasses = 10/2 = 5

probability of choosing a girl with glasses is =

number of girls wearing glasses/total number of students in the class = 5/20

thus, percentage of selecting a girl wearing glasses will be

= 5/20 × 100

= 5 × 5

25%

therefore,

probability will be 0.25

happy to

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