The sum of two numbers is 40. if the larger is divided by the smaller, the quotient is 5 and the remainder is 4. find the number.

Step-by-step explanation:

Let x be the large number and y be the small number.

Given:

The sum of two numbers is 40.

So the first relation is.

---------(1)

The large value is divided by smaller value.

So, , and the quotient is 5 and the remainder is 4.

and second relation is.

The denominator y is cancelled both side.

x value put in the equation 1

Put y value in equation 1

Therefore, x value is 36 and y value is 6.

nlgqer

step-by-step

option c) graph of line going through 1, 4 and 3, 10

step-by-step explanation:

let y equal to margo's coin collection

let x equal to number of years

at the begining x=0, y=1 → point=(x,y)→point=(0,1)

she adds 3 coins per year, then y=1+3x

at x=1, y=1+3(1)=1+3→y=4→point=(x,y)→point=(1,4)

at x=3, y=1+3(3)=1+9→y=10→point=(x,y)→point=(3,10)

the graph of line going through (1, 4) and (3, 10), then the option c is the correct.