Answer:
y=6/5x-1
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-7-5)/(-5-5)
m=-12/-10
simplify
m=6/5
y-y1=m(x-x1)
y-5=6/5(x-5)
y=6/5x-30/5+5
y=6/5x-6+5
y=6/5x-1
Step-by-step explanation:
slope of the given line=2/3
since the required line is parallel to the given line, it's slope will be same.
hence slope of required line:2/3
The required line passes through the point(9,1),
hence the equation of the required line,
y-1=(2/3)(x-9)
3y-3=2x-18
2x-3y-15=0
There the equation of the required line is 2x-3y-15=0
70%=70/100=7/10
what you do is shade 7 of the squares and say that is 21
now each square is worth the same
so 21/7=3
each square is worth 3
10 squares
3 times 10 is 30
the number is 30
see diagram
Answer: 40.
Step-by-step explanation:
Given : The sweater department ran a sale last week and sold 95% of the sweaters that were on sale.
95% can be written as 0.95 [ by dividing 100 ]
Also, the number of sweaters sold = 38
Let x be the number of sweaters were on sale.
Then , we have the following equation :_

Hence, 40 sweaters were on sale.
Answer:
The correct option is;
30 caramel popcorn bags and 80 cheddar popcorn bags
Step-by-step explanation:
From the graph of the number cheddar popcorn, Y to the number of the caramel popcorn, X, the shaded region of the graph which is the feasible region has a solution at the value Y = 80 and X = 30 and another at the value Y = 40 and X = 90
Therefore, when the team makes 80 bags of cheddar popcorn and 30 bags of caramel popcorn, we have;
2.5 × 80 + 1 × 30 = $230
When the team makes 40 bags of cheddar popcorn and 90 bags of caramel popcorn, we have;
2.5 × 40 + 1 × 90 = $190
Therefore, the team should make 30 caramel popcorn bags and 80 cheddar popcorn bags.