The students in Roberto's school are painting a mural that will be 15 feet by 8 feet. First they make a scale drawing of the mural with a scale of 2 feet : 5 feet. Question 1 Part A Write an equation for the proportional relationship between the drawing's lengths x in feet and the actual mural's lengths y in feet.

x = 2 * (y/5) feets

Step-by-step explanation:

Given that :

Actual dimension of mural = 15 feet by 8 feet

Scale drawing = 2 feet : 5 feet

2 feets on the scale drawing represents 5 feets of the actual drawing.

Drawing length (x)

Actual mural length (y)

x = 2 * (y/5) feets

Hence, dimension of scale drawing:

x = 2 * (15/5) ; x = 2 * (8/5)

x = 6 feets ; 3.2 feets

step-by-step explanation:

in the absence of parentheses, i will have to make some assumptions:   i interpret your (3x+5/y^6)(4y^3/5)​ to mean:

3x + 5     4y^(3/5)       (3x + 5)(4)

* =

    y^6             1               y^(6-3/5)

if this is not what you expected, repost your question using parentheses to indicate whether you meant

4y^3

    or   4y^(3/5)

    5

the quotient is 4x^2 - 27x + 167 with a remainder of -996

step-by-step explanation:

in synthetic division, use -6 as the divisor and use the coefficients {4, -3, 5, 6}:

-6     )   4     -3     5     6

                -24   162 -1002

          4   -27   167   -996

thus, the quotient is 4x^2 - 27x + 167 with a remainder of -996.

note:   your "4x°-3x+5x+6" is ambiguous / incomplete.   i had to assume that you meant '4x^3 - 3x^2 + 5x + 6."