:) 1. the table below shows the amount of money, in cents, celine had saved after different numbers of years: years 2 5 1 4 6 3 money in cents 50 6,250 10 1,250 31,250 250 what will be the amount of money, in cents, that celine will save in 7 years? 156,250 256,430 435,850 781,250

156250

Step-by-step explanation:

Given :The table below shows the amount of money, in cents, Celine had saved after different numbers of years:

years                     Money in cents

 1                                       10

 2                                       50

 3                                       250

 4                                       1250

 5                                       6250

 6                                      31250

Solution :

We can see that every year she saved five times the amount she saved previous year

in year two she saved = 5*amount in previous (1)year

                                   = 5*10

                                    = 50

In year 3 she saved= 5*amount in previous (2)year

                                   = 5*50

                                    = 250

Since we are asked she saved in 7 years =  5*amount in previous (6)year

                                                                     = 5*31250

                                                                      = 156,250

Thus he amount of money, in cents, that Celine will save in 7 years is 156250

the ratio of grapes to blueberries she should use is 12: 3

step-by-step explanation:

if mandie is making 15 cups of fruit salad, the ratio of grapes to blueberries she should use is 12: 3.

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form