9514 1404 393
Answer:
5 minutes; 60 gallons
Step-by-step explanation:
The volume in tank A is initially 35 gallons. Its rate of change is 5 gallons per minute. The equation for volume can be written as ...
y = 35 +5x . . . . . . where y is gallons, and x is minutes
The volume in tank B is initially 100 gallons. Its rate of change is -8 gallons per minute. The equation for volume can be written as ...
y = 100 -8x
We want to find the values of x and y such that both are the same for both tanks.
35 +5x = y = 100 -8x
13x = 65 . . . . . . . . add 8x-65 to both sides of the equation
x = 5
y = 100 -8·5 = 60
Both tanks will hold 60 gallons after 5 minutes.
Answer:
23/10 gallons
Step-by-step explanation:
Alicia uses 3/4 gallon of paint to paint her room.
Alicia use = 3/4 gallon of paint
Becca uses for 4/5 gallon more than Alicia to paint her room.
Becca uses = Alicia (3/4 gallons ) + 4/5
Becca uses = 
Total paint used together = Aliccia used + Becca used
Add like fractions 3/4 + 3/4 becomes 6/4
Make the denominators same
Divide top and bottom by 2
gallons
Answer:
Ok so here are the simple rules of doing it (very easy) cause I’m not doing it all so . when multiplying a power with The same base keep the base but add the exponents. Dividing, keep the base (if their the same if not then its already simplified same with multiplication) but SUBTRACT the exponents. Also keep the parenthesis if it’s a negative number base.
I’ll do a few.
11) a^10. 11b) 5^4
12) (-2)^2.
13) 10^2. 13b) s^6
14) -4s^5(t^6) <- [Im not sure of this one)
15) x^3(y^3)
The rocket will reach the ground after 4 seconds
Step-by-step explanation:
- Step 1: Find the time when the water rocket reaches the ground.
When the water rocket reaches the ground, the height, h will be zero.
⇒ h = 20 - 5(t - 2)²
⇒ 0 = 20 - 5(t - 2)²
⇒ 5 (t - 2)² = 20
⇒ (t - 2)² = 4
⇒ t - 2 = √4 = 2
∴ t = 2 + 2 = 4 seconds
