Answer:
15
Step-by-step explanation:
Let's call Leah's age l and Rachel's age r. We can write:
l = 3r - 2 (1)
l + 3 = 2(r + 3) + 7 (2)
Substituting (1) into (2) we get:
(3r - 2) + 3 = 2(r + 3) + 7
3r + 1 = 2r + 13
r = 12
In 3 years Rachel will be 12 + 3 = 15 years old.
Answer:
see explanation
Step-by-step explanation:
The sum of the exterior angles of a polygon = 360°
The exterior angle to interior angle is
exterior angle = 180° - 110° = 70°
Sum the exterior angles and equate to 360
x + 2x + 70 + 2x - 50 + x + 40 = 360 , that is
6x + 60 = 360 ( subtract 60 from both sides )
6x = 300 ( divide both sides by 6 )
x = 50
Then measure of exterior angles is
x = 50°
2x = 2 × 50 = 100°
x + 40 = 50 + 40 = 90°
2x - 50 = 2(50) - 50 = 100 - 50 = 50°
Answer:
15 people voted yes and 3 people voted no.
Step-by-step explanation:
Given that:
Ratio of yes to no = 5 : 1
Total number of board members who voted = 18
Let,
x be the number of times.
5x+x = 18
6x = 18
Dividing both sides by 6
People who voted yes = 5(3) = 15
People who voted no = 3
Hence,
15 people voted yes and 3 people voted no.
Answer:
y = -5x - 17
Step-by-step explanation:
Linear equations, or lines, that are perpendicular to each other have opposite reciprocals for the value of slope. For the given line, y = 1/5x - 2, the slope is 1/5 and the opposite reciprocal is -5.
Given the value of the slope and a given point on the second line, you can solve for 'b':
y = mx + b
8 = (-5)(-5) + b
8 = 25 + b
-17 = b
y = -5x - 17
Answer:
A - They Have Too Much Caramel
Step-by-step explanation:
Ari likes 3 oz caramel for 5 scoops ice cream.
Freeze Zone makes 6 oz caramel with 8 scoops of ice cream.
Divide both amounts of Freeze Zone by 2.
6 oz caramel for 8 scoops of ice cream is the same ratio as
3 oz caramel for 4 scoops of ice cream.
Since Ari likes 3 oz caramel for 5 scoops ice cream,
he will think it's too much caramel for the ice cream.
Answer: A - They Have Too Much Caramel
