Yes I think it really is the correct answer
Answer:
x = 41.67
Step-by-step explanation:
The above equation, would be simplified or divided into parts;
Therefore, the given equation becomes;
A/x = B/C
Where;
A = (15.2*0.25-48.51/14.7)
B = (13/44-2/11-5/66/2.50)1.2
C = 3.2+0.8(5.5-3.25)
x = unknown variable.
<u>Part A</u>
(15.2*0.25-48.51/14.7) = (15.2*0.25 - 3.3)
A = (3.8 - 3.3)
A = 0.5
<u>Part B</u>
(13/44-2/11-5/66/2.50)1.2 = (0.3 - 0.18 - 0.030) * 1.2
B = 0.09 * 1.2
B = 0.108
<u>Part C</u>
(3.2+0.8(5.5-3.25)
C = 4*(2.25)
C = 9
<em>Substituting the values into the equation, we have;</em>
0.5/x = 0.108/9
<em>Cross-multiplying, we have;</em>
9 * 0.5 = 0.108x
4.5 = 0.108x
x = 4.5/0.108
x = 41.67
Answer:
<em>y = 3x - 17</em>
Step-by-step explanation:
Here is the point-slope form of the equation of a line.
If you are given a slope, m, and a point on the line, (x1, y1), you just plug in the values into the equation above, and you get the equation of the line.
In your problem, you are given a point on the line, (5, -2). Now you need the slope of the line. Your line is perpendicular to the given line. The slopes of perpendicular lines are negative reciprocals. If you know the slope of a line, the slope of its perpendicular is found by flipping the fraction and changing the sign.
The given line has slope -1/3.
Flip -1/3 to get -3.
Now change the sign to get 3.
The slope of the line you need is 3. The line passes through point (5, -2).
Now we use the point-slope equation and we plug in the values we have.
Subtract 7 from 19 then divide the result by 3
19-7=3w
12=3w
12/3=w
4=w
W is 4
Answer:
The correct answer is that a rose bush costs $10 and a shrub costs $4
Step-by-step explanation:
To solve this, start by writing equations for what each spent. Use x for the cost of a rose bush and y for the cost of a shrub. Below would be the equations for each.
Rob: 8x + 5y = 100
Amy: 8x + 8y = 112
Now to find the cost, we multiply Rob's equation by -1 and add them together. This will get x to cancel and allow us to solve for y.
-8x - 5y = -100
8x + 8y = 112
------------------
3y = 12
y = 4
So we know the cost of a shrub is $4. Now we can plug that in to either of the original equations and solve for the rose bush cost.
8x + 5y = 100
8x + 5(4) = 100
8x + 20 = 100
8x = 80
x = 10
Which means that a rose bush costs $10.
