Answer: After 6 Months Casey would have paid $450 at either gym.
Step-by-step explanation:
Since we're looking for these two gyms cost the same, we need to make the equation compare the two together:
35x + 240 = 75x (the 1st gym with a joining fee $240 and 35 monthly equals $75 monthly)
Subtract 35x from both sides:
35x - 35x + 240 = 75x - 35x
240 = 40x
Divide by 40:
240 / 40 = 6
6 = x
So they cost the same after 6 months
35 * 6+ 240 = 75 * 6
450 = 450
And you'll be spending $450 in total.
Step-by-step explanation:
They are equal because when we flip or reflect ABC onto DCB we are going to have the same size and the same shape
We know the following:
Cylinder volume: V₁ = π r² h
Ball (sphere) volume:V₂ =
π r³
where:
V - volume
r - radius of base of cylinder and diameter of ball
h - height of cylinder.
R = 13 cm ⇒ r = 13 ÷ 2 = 6.5
π = 3.14
a) Since balls touch all sides of cylinder (as shown in image), it can be concluded that height of cylinder is equal to sum of diameters of 3 balls and that radius of base of cylinder is equal to radius of ball:
h = 3 × r = 3 × 13 cm = 39 cm
r = 6.5 cm
So,
V₁ = <span>π r² h
</span><span>V₁ = </span>3.14 × (6.5 cm)² × 39 cm
V₁ = 5,173.9 cm³
b. The total volume of three balls is the sum of volumes of each ball:
Vₐ = 3 × <span>V₂
</span>Vₐ = 3 × <span>
π r³
</span>Vₐ = 3 ×
3.14<span> (6.5 cm)³</span>
Vₐ = 3,449.3 cm³
c. Percentage of the volume of the container occupied by three balls ould be expressed as ratio of volume of three balls and volume of cylinder:
V =
×100
V =
×100
V = 0.6666 ×100
V = 66.66%
Answer:
Step-by-step explanation:
let the no of girls be x
ratio of boys to girls=4:7
4/7=16/x
do cross multiplication
7*16=x*4
112=4x
112/4=x
28=x
therefore there are 28 no of girls.