Answer:
Honda made 32 cars
Step-by-step explanation:
Total no. of cars = 60
car made by ford = 3/10 of total no of cars
car made by ford = 3/10 of 60 = 3/10* 60 = 18
car made by General Motors = 1/6of total no of cars
car made by General Motors = 1/6 of 60 = 1/6* 60 = 10
No of cars made by Honda = Total no. of cars - car made by ford - car made by General Motors
No of cars made by Honda = 60 - 18 - 10 = 32
In this lot, Honda made 32 cars.
Answer:
(- 2, - 4 )
Step-by-step explanation:
Given the 2 equations
3x - 2y = 2 → (1)
5x - 5y = 10 → (2)
Multiply (1) by 5 and (2) by - 3, then add to eliminate x
15x - 10y = 10 → (3)
- 15x + 15y = - 30 → (4)
Add (3) and (4) term by term to eliminate x , that is
5y = - 20 ( divide both sides by 5 )
y = - 4
Substitute y = - 4 into either of the 2 equations and solve for x
Substituting into (1)
3x - 2(- 4) = 2
3x + 8 = 2 ( subtract 8 from both sides )
3x = - 6 ( divide both sides by 3 )
x = - 2
Solution is (- 2, - 4 )
Answer:
see the explanation
Step-by-step explanation:
The given rate is
Create three different rates, that are all equivalent to this rate
<u>First rate </u>
1,440 gallons in 3 hours
Find the units rate
Divide the total volume by the total time
<u>Second rate </u>
960 gallons in 120 minutes
Find the units rate
Divide the total volume by the total time
Convert minutes to hours
<u>Third rate </u>
720 gallons in 1.5 hours
Find the units rate
Divide the total volume by the total time
<em>Convert gal/h to gal/min</em>
Remember that
Answer:
If the bacteria grow for six hours, each bacterium will divide 3 times per hour × 6 hours = 18 times.
Every time the bacteria reproduce, the number doubles.
we know that
The rule of the translation is
That means
The translation is 
units to the right and units down
therefore
the answer in the attached figure
