Answer:
-12
Step-by-step explanation:
So to start we need to know what makes a line parallel. In an equation we know that for lines to be parallel they must have the same slope(m).
Then, we need to know the slope-intercept form of an equation. The slope intercept form is 
where 
is the slope of the line and 
is the y-intercept. In this problem where can see the second equation is already in this form.
Now that we know we need to find the slope, and we know that the second equation is in slope-intercept form we're going to convert the fist equation into the correct form.
To do this, we know we need to make sure 
is the only thing on the left side of the equal sign. Currently, on the left side of the equal sign we have 
so we have to divide both sides by 
to get 
Now that we have it converted to slope-intercept form, we are going to look for what represents the slope or in the equation. In this case the slope would be -12, so any line with a slope of -12 will be parallel.
Answer:
B, C, and E
Step-by-step explanation:
Let's consider each option given the graph shown above:
A. The ratio of x/y can be found using any point on the line, say, (5, 6). Thus, ratio of x/y = 5/6, not 6/5.
Option A is not correct.
B. If you check for y/x for any given point along the line, we would have the same result. So the ratio of y/x is consistent. Option B is correct.
C. The graph has a line that runs through the point of origin, so therefore, it represents a proportional relationship.
Option C is correct
D. If option C is correct, then option D is not correct.
E. If option C is correct, then option E is correct.
<h3>
♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫</h3>
➷ Form an equation with 'x' as the unknown number
7x + 3 = -74
Subtract 3 from both sides:
7x = -77
Divide both sides by 7:
x = -11
The number is -11
<h3><u>
✽</u></h3>
➶ Hope This Helps You!
➶ Good Luck (:
➶ Have A Great Day ^-^
↬ ʜᴀɴɴᴀʜ ♡
The circumference of every circle is (pi) times (diameter).
The diameter is (2 x radius), so we can write
Circumference = (pi) x (2 x radius) .
The question gives us the circumference, and the number to use for (pi).
I shall now pluggum in:
(31.4 cm) = (3.14) x (2 x radius)
Divide each side by 3.14: (31.4 cm)/(3.14) = 2 x radius
Divide each side by 2 : (31.4 cm) / (2 x 3.14) = radius
5 cm = radius
1. the answer is 24. think of x as the original amount, and y as the new amount. y times 1.5 is x, and y+12 is x. reverse that to figure out y, which is what we need, and you have x/1.5 = y as well as x-12 = y. Use the equal values method and make an equation x/1.5=x-12. solve this equation to get x, which is 36. to figure out the new amount, y, you need to subtract 12, which would help you get 24 as your final answer.
2. once again, create an equation. let's call team 1 x and team 2 y. team one has 1/4th as many as team 2, so that would be x=1/4y. An easier way to write that is 4x=y. after 6 people quit team two, that would be y-6. after the transfer, that would be y-6-12, and x+12 for the teams. they are equal after these, so y-6-12=x+12. solve this equation to get y-18= x+12. if you recall earlier, y was 4 times x, so substitute that into y to get 4x-18=x+12. Solve the equation to get 10 people on team one originally. your final answer is 10 people.
