Answer:
8 gallons
Step-by-step explanation:
#1: Set up a ratio from the recipe: gallons of punch to the number of people.
2 gallons 15 people
#2: Set up a ratio of gallons to the people coming to the party.
(Place the gallons on top) x gallons 60 people
#3: Set up a proportion 2 gallons x gallons
15 people = 60 people
* Like units should be across from each other
4) Solve using the "lonely mate" formula
2 gallons x gallons
15 people = 60 people
2 x 60 = 120
120/15 = 8
This means she should make 8 gallons.
Answer:
C
Step-by-step explanation:
Because Tangent is positive in third quadrant
45 adult tickets were sold.
adult tickets = a
childrens tickets = b
a + b = 65
6a + 3.5b = 340
Subtract a from the equation on top to get b = 65 - a
Substitute into the second equation 6a + 3.5(65 - a) = 340
Simplify to make 6a + 227.5 - 3.5a = 340
6a - 3.5a = 340 - 227.5
Combine like terms so that 2.5a = 112.5
Divide both sides by 2.5 to isolate the variable a
Your final answer is a = 45
Answer:
1)b
2)d)80/360×36π≈25.12cm²
4)d)32.5
5)c)135°
6)d)4π/3
Step-by-step explanation:
1) because as we know
Circle equation
=(x-a)²+(y-b)²=r²
=(x-5)²+(y+1)²=36 (given)
=(x-(+5))²+(y-(-1))²=6²
So
C(5,-1)and r=6
2)as we know area of sector
=Theta/360×πr²
=80/360×6²π
80/360×36×3.14
80/10×3.14
=25.12
4)to figure out 4 we have to separate the shape into 2 parts
First semi-circul
Second rectangle
So the parameter of the shape
=Circumference of semi-circul + the parameter of the rectangle
=[10π×½+2(10+3.4)]-10 (as the dashed line is not a part of parameter)
=[15.7+26.8]-10
=32.5
5)3π/4
3×180/4
540/4
135
6)240°
240°×π/180°
4π/3
You find the product of 0.8x2 by doing this: (Image)