Answer:
1/3 =5x-2
3(1/3)=3(5x-2)
1=15x-6
7=15x
x=7/15 (7/15 , 1/3)
Step-by-step explanation:
Answer:
The volume of the glass is 217.8 cm³
Step-by-step explanation:
If the glass were initially 4/7 full, that means 3/7 of the volume is still available to hold more juice.
Let v represent the volume of the glass.
Then (3/7)v + 70 cm³ = (3/4)v.
We need to solve this for v.
Here the LCD is 28. Thus,
(3/7)v + 70 cm³ = (3/4)v → (12/28)v + 70 cm³ = (21/28)v.
Subtracting (12/28)v from both sides, we get:
70 cm³ = (9/28)v.
We can isolate v by mult. both sides by the inverse of 9/28, which is 28/9:
(28/9)(70 cm³) = v
The volume of the glass is 217.8 cm³
Hey there! :)
Answer:
y = 11.
Step-by-step explanation:
Set both of the equations equal:
5x - 9 = x² - 3x + 7
Rearrange the equation:
0 = x² - 3x - 5x + 9 + 7
Combine like terms:
0 = x² - 8x + 16
Factor:
0 = (x -4)²
Solve for x:
0 = x - 4
x = 4.
Plug this into an equation to solve for 'y':
y = 5(4) - 9
y = 20 - 9
y = 11.
Answer:
The depth now is 47 feet below the surface of the lake
Step-by-step explanation:
Step 1: Determine initial depth
Initial depth=surface level-depth below surface
where;
Surface level=0, since its the point of reference
depth below surface=96 feet
replacing;
Initial depth=(0-96)=-96 feet
Step 2: Final depth
Final depth=Initial depth+distance covered
where;
Initial depth=-96 feet
distance covered=+49 feet since the scuba driver moves towards the surface
replacing;
distance covered=-96+49=-47 feet
The depth now is 47 feet below the surface of the lake
