Answer:
y=−2
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
6y+2(3y−5)=−34
6y+(2)(3y)+(2)(−5)=−34(Distribute)
6y+6y+−10=−34
(6y+6y)+(−10)=−34(Combine Like Terms)
12y+−10=−34
12y−10=−34
Step 2: Add 10 to both sides.
12y−10+10=−34+10
12y=−24
Step 3: Divide both sides by 12.
= 
y=−2
8.625 is the correct answer.
Answer:
We have 8 more boys than girls on the swim team.
Step-by-step explanation:
The ratio of boys to girls on a swim team is represented as:
4 : 2
Total number of athletes is given as 24
Total ratio is given as:
4 + 2 = 6
Step 1
We find the number of boys and girls
Number of boys = 4/6 × 24 = 16 boys.
Number of girls = 2/6 × 24 = 8 girls.
Therefore, since we have 16 boys and 8 girls on the swim team, we have 8 more boys than girls on the swim team.
For the answer to the question above, I would start with a simple equation 6x+10y is more than or equal to 75
A.
If we l<span>et x represent babysitting hours and y represent tutoring hours:
x+ y </span>≤ 20
6x + 10y ≥ 75
B. The inequality: x+ y ≤ 20 can be graphed by graphing the line x + y = 20 and shading the area below the line.
The inequality 6x + 10y ≥ 75 can be graphed by graphing the line 6x + 10y = 75 and shading the area above the line.
C. The area where the two shaded regions from the two inequalities overlap are the possible number of hours for tutoring and for babysitting. Algebraically:
x ≤ 20 - y
6(20 - y) +10y ≥ 75
y ≤ 11.25
x ≤ 8.75
