The band has 30 more members than the school chorale. if each group had 10 more members, the ratio of their membership would be 3: 2. how many members are in the band? a. 50 members c. 80 members b. 45 members d. 32 members

80 members

Step-by-step explanation:

Let the band members be= b and the chorale members=  c

Then, according to question, b=c+30 and

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Now, substituting the value of b=c+30, we get

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Therefore,

Therefore, there are 80 members in the band.

answer: b

step-by-step explanation:

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