Answer:
A.
Step-by-step explanation:
Answer:
There is no solution. The graphs are of parallel lines.
Step-by-step explanation:
The graph shows parallel lines, both with slope -5. The first has a y-intercept of -7; the second has a y-intercept of -3.
Answer:
10t + D = 40
Step-by-step explanation:
y = mx + b is the equation of a line in slope intercept form. We'll be using this equation since the slope, or distance traveled, is steady (linear). In this case, the slope is 10 since Sarah's pace is 10 km/hr. m is the slope, so m = 10.
y = 10x + b. However, she needs to run 40 km. So we're going to substitute 40 in for y.
40 = 10x + b. Now, we need to use t instead of x since that's what's been asked of us. (The slope represents the distance traveled over time, so t fits.)
10t + b = 40
b needs to become D, the distance in kilometers.
So now we have 10t + D = 40
Answer:
18 ounces of the 25% solution
21 ounces of the 38% solution
Step-by-step explanation:
let a be the ounces of 25% alcohol solution
let b be the ounces of 38% alcohol solution
a + b = 39
0.25a + 0.38b = 0.32(39) = 12.48
Rearrange a + b = 39:
a = 39 - b
Now we can substitute a = 39 - b into the other equation
0.25a + 0.38b = 12.48
0.25(39 - b) + 0.38b = 12.48
Simplify by distributing
9.75 - 0.25b + 0.38b = 12.48
Collect like terms
9.75 + 0.13b = 12.48
Isolate b to solve
0.13b = 2.73
b = 2.73/0.13
b = 21
Sub b = 21 into an equation to find "a"
a + b = 39
a + 21 = 39
a = 39 - 21
a = 18
Therefore we need 18 ounces of the 25% solution and 21 ounces of the 38% solution.
Answer:
-13 1/2 < -6/8
Step-by-step explanation:
*Any negative in either the numerator or denominator will make the entire fraction negative.
1/2 = .5
-13 1/2 = -13.5
-6/8 = -3/4
-3/4 = -0.75
-6/8 = -0.75
-13 1/2 = -13.5
Which means:
-13 1/2 < -6/8
Hope this helped.
