Help me with this question please

1 blank. 24

2 blank. 42

3 blank. 56

Step-by-step explanation:

This question is a matter of ratios

The ratio being 7:6

7= # of hamburgers

6= # of hotdogs

To find each answer, you have to set the ratios equal to each other

7/6=28/?

7 times what equals 28

7 times 4 equals 28, so then you multiply 4 by 6 to get you number of hotdogs in that equation

You'll repeat the process for all the other equations as well

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

answer: y = -2.5x - 15

              (-6,0)

step-by-step explanation: