Below is step-by-step in how i got my answer.6.3−2(1.5c+4.1)Distribute:=6.3+(−2)(1.5c)+(−2)(4.1)=6.3+−3c+−8.2Combine Like Terms:=6.3+−3c+−8.2=(−3c)+(6.3+−8.2)=−3c+−1.9Your answer is in Bold
~Good Luck~

6 0

3 years ago

A manufacturer of shipping boxes has a box shaped like a cube. The side length is

Tatiana [17]

The volume of a cube with side length equal to x, is $V= x^{3}$ ,

thus, the volume of a cube shaped box, whose side length is (5a+4b) is :

$V= (5a+4b)^{3}$ ,

The volume is already expressed in terms of a and b, but we can expand the expression $(5a+4b)^{3}$ , as follows:

$(5a+4b)^{3} =(5a+4b)(5a+4b)^{2}= (5a+4b)[ (5a)^{2}+2(5a)(4b)+ (4b)^{2}]$

$=(5a+4b)[ 25a^{2}+40ab+ 16b^{2}]$

$=(5a)[ 25a^{2}+40ab+ 16b^{2}]+(4b)[ 25a^{2}+40ab+ 16b^{2}]$

$=125a^{3}+200a^{2} b+ 80ab^{2}+100a^{2}b+160ab^{2} + 64b^{3}$

$125a^{3}+300a^{2} b+240ab^{2} + 64b^{3}$

Answer:

$V= (5a+4b)^{3}$ ,

or

$125a^{3}+300a^{2} b+240ab^{2} + 64b^{3}$

7 0

3 years ago

Which letter represents the opposite of 1/4 on the number line below

Sergio [31]

The opposite of 1/4 is -1/4 which is represented by "L" on the number line.

7 0

3 years ago

17) 74x^2 What is the prime factorization of 74x^2?

saw5 [17]

37 is one of the factors . The orange divisors are the prime factors of the number 74. If you put them all together , you’ll have the factors 2•37=74

3 0

4 years ago