Answer:
-10
Step-by-step explanation:
x+75=180-(x+125)
2x=-20
x=-10
Step-by-step explanation:
Use phytogoras theorem

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To solve this problem you must apply the proccedure below:
1. You have that one canned juice drink is 20% orange juice and another is 5% orange juice.
2. You must make a system of equation, as below:
x+y=15 (i)
0.20x+0.05y=0.15x15 (ii)
3. Now, you must find the value of x (the liters of the first canned needed) and y (the liters of the other canned needed):
x+y=15 (i)
x=15-y
0.20x+0.05y=0.15x15 (ii)
0.20(15-y)+0.05y=2.25
y=5 liters
x+y=15 (i)
x=15-5
x=10 liters
4. Therefore, the asnwer is:
10 liters of the canned juice drink that is 20% orange juice and 5 liters of the other canned juice drink that is 5% orange juice.
Answer:
Answer 1.
Step-by-step explanation:
The complete question is:
The line whose equation is 3x - 5y = 4 is dilated by a scale factor of 3 centered at the origin. Which statement is correct?
1. The image of the line has the same slope as the pre-image but a different y-intercept.
2. The image of the line has the same y-intercept as the pre-image but a different slope.
3. The image of the line has the same slope and the same y-intercept as the pre-image.
4. The image of the line has a different slope and a different y-intercept from the pre-image.
Recall that a dilation by a scale factor r centered at the origin takes a point (x,y) and maps it to the point (r*x,r*y).
Consider also a line of equation
. From this equation, the slope of the line is given by the number
and the y-intercept is given by
.
Consider the given equation 3x-5y =4. If we replace (x,y) with (3x,3y), we get

which is equivalent to

Note that comparing the equations 3x-5y=4 and
the values of a and b are equal but the value of c is different. This means that they have the same slope but a different y-intercept.
Rewriting 0.000001 as a power of ten.
Well,
0.000001
1
= —————
1000000
1
= ———
10⁶
= 10⁻⁶ <——— this is the answer.
Any doubts? Please, comment below.