Answer:
solvable
Step-by-step explanation:
The coefficients of x and y have different ratios, so the equations are solvable.
__
The solution is (x, y) = (7/15, 1/10).
Answer:
option d: 25% unfavorable
Step-by-step explanation:
The budget is $40, and it was spent $50, so as the amount spent was higher than the budget, we have a unfavorable percent of variance.
The amount spent more than the budget was:
50 - 40 = 10
Now to calculate the percent of variance, we divide the value spent more than the budget (10) by the value of the budget (40)
Percent of variance = 10 / 40 = 0.25 = 25%
So the answer is 25% unfavorable, option d
Answer:
p = 1.5 and q = 9
Step-by-step explanation:
Expand the right side then compare the coefficients of like terms on both sides, that is
4(x + p)² - q ← expand (x + p)² using FOIL
= 4(x² + 2px + p²) - q ← distribute parenthesis
= 4x² + 8px + 4p² - q
Comparing coefficients of like terms on both sides
8p = 12 ( coefficients of x- terms ) ← divide both sides by 8
p = 1.5
4p² - q = 0 ( constant terms ), that is
4(1.5)² - q = 0
9 - q = 0 ( subtract 9 from both sides )
- q = - 9 ( multiply both sides by - 1 )
q = 9
Add the time to the start time:
8:30
1 hour: 9:30 am
2 hours: 10:30am
3 hours: 11:30am
4 hours: 12:30pm
5 hours: 1:30pm
Then 45 minutes makes the time 2:15pm
Answer: 2:15 pm
Answer:
No DB is not a perpendicular bisector of AC
Step-by-step explanation:
This is because as AC is a straight line it's angle degree is 180 which when bisected by DB becomes,
180 ÷ 2 = 90
On both the angles i.e <BDC = <NDA = 90°
To make it a perpendicular bisector but
<BDC is not equal to <NDA is not equal to 90°.
Hence, DB is not a perpendicular bisector of line AC.
