Alan and Beth share $1190 in the ratio Alan : Beth = 5:2. Work out how much Alan receives.
options:
$850
$1666
$34
$119​

$850

Step-by-step explanation:

sum the parts of the ratio, 5 + 2 = 7 parts

Divide the amount by 7 to find the value of one part.

$1190 ÷ 7 = $170 ← value of 1 part of the ratio , then

5 parts = 5 × $170 = $850 ← Alan' s share

(x3 + 6x2 + 2x - 6) • (x - 1)

step-by-step explanation:

polynomial long division :

3.2     polynomial long division

dividing :   x4+5x3-4x2-8x+6

                              ("dividend")

by         :     x-1     ("divisor")

dividend     x4   +   5x3   -   4x2   -   8x   +   6

- divisor   * x3     x4   -   x3            

remainder         6x3   -   4x2   -   8x   +   6

- divisor   * 6x2         6x3   -   6x2        

remainder             2x2   -   8x   +   6

- divisor   * 2x1             2x2   -   2x    

remainder               -   6x   +   6

- divisor   * -6x0               -   6x   +   6

remainder                     0

quotient :   x3+6x2+2x-6   remainder:   0

step-by-step explanation:

there are 36 inches in a yard

25 : 36 = 0.69 yards (you can round to 0.70)