Maria is ordering trophies for school. Company Christopher charges $3.50 for each trophy and a one-time engraving fee of $25. Company Asya charges $7.50 for each trophy and a one-time engraving fee of $17 Develop an equation where the two companies would be the same.

An equation where the two companies would be the same is given as:

25 + 3.50x = 17 + 7.50x

Step-by-step explanation:

Let the number of trophies ordered be represented by x

Maria is ordering trophies for school. Company Christopher charges $3.50 for each trophy and a one-time engraving fee of $25.

$25 + $3.50 × x

25 + 3.50x

Company Asya charges $7.50 for each trophy and a one-time engraving fee of $17

$17 + $7.50× x

17 + 7.50x

An equation where the two companies would be the same is given as:

Company Christopher = Company Asya

25 + 3.50x = 17 + 7.50x

Simplifying further:

Collect like terms

25 - 17 = 7.50x - 3.50x

8 = 4.00x

x = 8/4

x = 4

Hence, the two companies would be the same after 4 trophies.

the dimensions are:

step-by-step explanation:

we want to find the dimensions of a rectangular box with volume of

we factor to obtain;

we rewrite the rightmost factor to obtain;

recall that:

we apply difference of two squares formula to obtain;

hence the dimensions are