Answer: 45 ft
Step-by-step explanation: 3 times 15 equals 45
Answer:
3. 60 ÷ 5 = 12
12 × 3 = 36
7 3/5 hours = 7 hours and 36 minutes
7:36 - 30 = 7:06
7:06 - 42 = 6:24
6:24 ÷ 6 = 1:04
A. 1 1/15 hours
4. fractions are equivalent regardless of the negative sign placement
A. 4/-9 = -4/9
5. 3/2 = 12
4/2 = 16
12 × 16 = 192
C. 192 square feet
7. -2.9a + 6.8 + 4.4a - 7.3 (add -2.9a + 4.4a)
1.5a + 6.8 - 7.3 (subtract 6.8 - 7.3)
1.5a - 0.5
D. 1.5a - 0.5
8. 552.50 × 0.88 = 486.2
486.2 ÷ 7 = 69.457
B. m > 69.45
19. -1/6 + 2/3(9 - 3/4) - 1/2
2/3 × 9/1 = 18/3
2/3 × 3/4 = 6/12
-1/6 + 18/3 - 6/12 - 1/2
-1/6 + 36/6 - 6/12 - 1/2
35/6 - 6/12 - 1/2
70/12 - 6/12 - 1/2
64/12 - 1/2
64/12 - 6/12
B. 58/12
4\9=.444444444
answer=choice D
Answer:
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form 
or 
In this problem we have
y=18 when x=2
Find the value of the constant of proportionality k
----> 
therefore
The equation is equal to
Answer:
Please check the explanation.
Step-by-step explanation:
We know that when a consistent system has infinite solutions, then the graphs of the equations are exactly the same. In other words, these equations are called dependent equations.
All points of dependent equations share the same slope and same y-intercept.
For example,
6x-2y = 18
9x-3y=27
represent the dependent equations.
Writing both equations in slope-intercept form
y=mx+c
where m is the slope and c is the y-intercept
Now
6x-2y=18
2y = 6x-18
Divide both sides by 2
y = 3x - 9
Thus, the slope = 3 and y-intercept = b = -9
now
9x-3y=27
3y = 9x-27
Divide both sides by 3
y = 3x - 9
Thus, the slope = 3 and y-intercept = b = -9
Therefore, both equations have the same slope and y-intercept. Their graphs are the same. Hence, they are called dependent equations.
