Answer:
B, E
Step-by-step explanation:
The equation of that line in slope intercept form is y = -2/5x + 2
The slope of a line parallel to that line will be the same as its slope, so -2/5.
To find the y-intercept of a line that passes through the point (-5, 1) with that slope, you will have to plug in the x and y values of that point into what you know of the equation of the line.
y = -2/5x + b
1 = -2/5(-5) + b
1 = 2 + b
-1 = b
From this, you can construct an equation.
y = -2/5x - 1
However, this is not an answer choice.
It cannot be A because this line does not have a slope of -1.
2x + 5y = 15
5y = -2x - 5
y = -2/5x - 1
It can be B because this line is the same as the equation we came up with.
It cannot be C because this line does not have a slope of -1 or a y-intercept of -3.
2x + 5y = -15
5y = -2x - 15
y = -2/5x - 3
It cannot be D because this line does not have a y-intercept of -3.
y - 1 = -2/5(x + 5)
y - 1 = -2/5x - 2
y = -2/5x - 1
It can be E because this equation matches the one we came up with.
Answer:
18 machines
Step-by-step explanation:
9 machines give 24 mins... You need to reduce the time by half by adding using double the machines..
So 9×2=18
Answer:
180 tacos and 100 burritos was sold
Step-by-step explanation:
Let <em>t</em><em> </em>represent tacos
Let <em>b</em><em> </em>represent burritos
<em>t</em><em> </em>+ <em>b</em><em> </em>= 280
<em>2t</em><em> </em>+ <em>3b</em><em> </em><em>=</em><em> </em><em>660</em>
From t + b = 280,
t = 280 - b
Substitute t = 280 - b in 2t + 3b = 660
2t + 3b = 660
2(280 - b) + 3b = 660
560 - 2b + 3b = 660
560 + b = 660
b = 660 - 560
b = 100
Substitute b = 100 in t + b = 280
t + b = 280
t + 100 = 280
t = 280 - 100
t = 180
t = tacos = 180
b = burritos = 100
Answer:
Step-by-step explanation:
Given:
-----(1)
Simplifying 
From Law of indices, 
= 
When 1.0005 is raised to the 7th power, it is approximately 1.0035.
Substituting 
into equation(1)
