y = 8 -2x
x + 2 (8 - 2x) = 1
x + 16 - 4x = 1
x - 4x = -15
-3x = -15
x = 5
If x = 5, then we can substitute in...
5 + 2y = 1
2y = -4
y = -2
Now let us check that by substituting those values in to the equation
2x + y = 8
2 (5) + (-2) = 8
That is correct so we have the right values for x and y/
Answer:
TanФ=-1.793
Step-by-step explanation:
Answer:
a. 1 1/8 b. 8/9
Step-by-step explanation:
You can set this up as a proportion to solve. For part a. we know that 2/3 of the road is 3/4 mile long. 2/3 + 1/3 = the whole road, so we need how many miles of the road is 1/3 its length. Set up the proportion like this:
Cross multiplying gives you:
The 3's on the right cancel out nicely, leaving you with
To solve for x, multiply both sides by 3/2:
gives you
That means that the road is still missing 3/8 of a mile til it's finished. The length of the road is found by adding the 3/4 to the 3/8:
So the road is a total of 1 1/8 miles long.
For b. we need to find out how much of 1 1/8 is 1 mile:
1 mile = x * 9/8 and
x = 8/9. When 1 mile of the road is completed, that is 8/9 of the total length of the road completed.
Answer:
40,000+300×
Step-by-step explanation:
300× × + the 40,000
Answer:
Answers are 3 AM ; 10 , 54
Step-by-step explanation:
We are given a graph.
Recording of temperature starts from 9 PM.
So from Graph,
Temperature ate 9 PM = 59°F
Temperature ate 11 PM = 54°F
Temperature ate 1 AM = 51°F
Temperature ate 3 AM = 50°F
Temperature ate 5 AM = 51°F
Temperature ate 7 AM = 54°F
Temperature ate 9 AM = 59°F
So, At 3 AM the water is at its lowest temperature.
and
After 10 hours passed, the temperature of the lake is 54°F.
Therefore, Answers are 3 AM ; 10 , 54