A store is selling 5 types of hard candies: cherry, strawberry, orange, lemon and pineapple. how many ways are there to choose:

The container that holds the water for the football team is 2/9 full. After pouring in 12 gallons of water, it is 2/3 full. How

Luden [163]

Answer:

27 gallons

Step-by-step explanation:

Our equation is: $\frac{2x}{9} +12 = \frac{2x}{3}$

What do we need to find: x

We need to first find x, so lets find x first.

$12 = \frac{2x}{3} - \frac{2x}{9}$

=> $12 = \frac{6x}{9} - \frac{2x}{9}$

=> $12 = \frac{4x}{9}$

=> x = 27

Lets go back to our equation.

$\frac{2(27)}{9} +12 = \frac{2(27)}{3}$

We are going to simplify this before solving this. We are going to get: $\frac{54}{9} +12 = \frac{54}{3}$

=> 18 = 18

Therefore, we found x and we checked that our x value is correct. Now, we need to find how many gallons can the container can hold.

$\frac{3x}{3} = a$ [a = gallons can the container hold]

=> x = a

Basically that means the container can hold 27 gallons of water.

Please give me brainliest if this is helpful ;D

4 0

3 years ago

Read 2 more answers

A toy rocket is shot vertically into the air from a launching pad 9 feet above the ground with an initial velocity of 168 feet p

hammer [34]

Y(initial) = 9
V(initial) = 168
V(final) = 0
g(accel-grav) = 32 (in feet per second
squared)
Use the following equation:
V(final) = V(initial) + a(t)
Since this object is moving straight up and
down, a = -32
Enter the knowns into the equation
0 = 168 - 32t
32t = 168
t = 168/9.8
t = 5.25

Now that you know the time it takes to
reach it's maximum, use the general
kinematics equation to solve for final
distance:

y(final) = y(initial) + V(initial)(t) + (1/2)a
(t²)

y(final) = 9 + 168(5.25) + (1/2)(-32)
(5.25²)

= 9 + 882 - 441

= 450 feet

5 0

3 years ago

Read 2 more answers

PLEASE I NEED THIS TODAY!!!

Troyanec [42]

Answer:

Option D $y\leq -3x-3$ and $y$