Answer:
3.9
Step-by-step explanation:
each gallon is 1.3
Answer:
X1 = 34
X2 = -42
Step-by-step explanation:
Given the simultaneous equations
X1 + X2 =-8 .... 1 * 3
3X1 +2X2 = 18 .... 2 * 1
______________________
3X1 + 3X2 = -24
3X1 +2X2 = 18
Subtract
3X2 - 2X2 =-24 - 18
X2 = -42
Substitute X2 = -42 into 1
X1 + X2 = -8
X1 - 42 = -8
X1 = -8+42
X1 = 34
Hence the solution to the system of equation is (34, -42)
Two complementary angles make a total of 90, so 3x+6x=90, x=10
Answer:
(2, 5 )
Step-by-step explanation:
Given a quadratic in standard form : y = ax² + bx + c : a ≠ 0
Then the x- coordinate of the vertex is
= - 
y = 3x² - 12x + 17 ← is in standard form
with a = 3 and b = - 12, thus
= - 
= 2
Substitute x = 2 into the function for corresponding value of y
y = 3(2)² - 12(2) + 17 = 12 - 24 + 17 = 5
vertex = (2, 5 )
Answer:
Judy spent 55 minutes exercising
Step-by-step explanation:
Here, we want to know the amount of time Judy spent exercising.
We proceed as follows;
Mary spent 3 hours , sandy spent 50 minutes less than Mary. The amount of time spent by Sandy is thus 2hrs 10 minutes
Judy spent 1hr 15 min less, the amount of time he spent is thus
2hrs 10 minutes - 1 hr 15 min
2 hrs 10 minutes is same as 2(60) + 10 = 120 + 10 = 130 minutes
I hr 15 minutes = 60 + 15 = 75 minutes
The amount of time spent is thus 130 - 75 = 55 minutes
