Answer: 6 years
Step-by-step explanation:
Let Maria's age be x
Jonathan is four times Maria's age. This means that Jonathan age = 4x
In 3 years, he will be three times as old as Maria is then. This can be written as:
4x + 3 = 3(x + 3)
4x + 3 = 3x + 9
4x - 3x = 9 - 3
x = 6
Maria is 6 years
Answer:
a) x = 6° b) m∠B = 50°
Explanation:
(a) total angle measure of a triangle is 180°
8x + 2 + 70° + 60° = 180°
8x + 132° = 180°
8x = 180° - 132°
8x = 48°
x = 6°
(b)
m∠B = 8x + 2
m∠B = 8(6) + 2°
m∠B = 48° + 2°
m∠B = 50°
For this case what you should do is the following system of equations:
x: skilled laborers
y: unskilled laborers
By writing the system we have:
x + y = 24
25x + 12y = 405
Solving the system:
Step 1:
-25x + -25y = -600
25x + 12y = 405
Step 2:
-13y = -195
y = 195/13
y = 15
step 3:
x = 24-y
x = 24-15
x = 9
Answer:
skilled laborers = 9
unskilled laborers = 15
Answer:
Step-by-step explanation:
change in graph=(y2-y1)/(x2-x1)=(0.25-2)/(4.5-2.5)
=-1.75/2=-0.875
Answer:
The unit rate is 20.8 ft/ sec.
Step-by-step explanation:
It is given that the displacement of 644.8 ft in 31 s.
When the rate is define in the quantity of 1, then it is called unit rate.
In 31 s the displacement is 644.8 ft.
Divide both sides by 31,
For one second the value of the displacement is 20.8.
Therefore the unit rate for 644.8 ft in 31 s is 20.8 ft/sec.
