Answer:
I believe it is -17.5. Tell me if I am wrong
Step-by-step explanation:
3x + 5 = x - 10
-x -5 -x -5
2x = -15
x = -7.5
3(7.5) + 5
= 22.5 + 5
= -17.5
Answer:
12 cupcakes will have vanilla icing
Step-by-step explanation:
1/5 of 30 = 6
30- 6 = 24
24/ 2 = 12
6 mint icing
12 chocolate icing
12 vanilla icing
2/3x -8/3 >= y is the answer
Answer:
2x - y = - 5
Step-by-step explanation:
First obtain the equation in slope- intercept form
y = mx + c ( m is the slope and c the y- intercept )
Here m = 2, thus
y = 2x + c ← is the partial equation
To find c substitute (1, 7) into the partial equation
7 = 2 + c ⇒ c = 7 - 2 = 5
y = 2x + 5 ← in slope- intercept form
The equation in standard form is
Ax + By = C ( A is a positive integer and B, C are integers )
Subtract y from both sides
0 = 2x - y + 5 ( subtract 5 from both sides )
- 5 = 2x - y, that is
2x - y = - 5 ← in standard form
Answer:
7y+24x = -12
Step-by-step explanation:
Equation of line PQ in point slope form is expressed as;
y -y0 = m(x-x0)
m is the slope of {Q
(x0, y0) is the point on the line
Given the line 7x-24y+10=0
Get the slope
-24y = -7x -10
y = -7/-24 x - 10/-24
y = 7/24 x + 5/12
Slope = 7/24
Slope of the line PQ perpendicular to it = -24/7
Substitute m = -24/7 and (-2, 4) into the formula;
y - 4 = -24/7(x+2)
7(y-4) = -24(x+2)
7y - 28 = -24x-48
7y + 24x = -40 + 28
7y+24x = -12
This gives the equation of the line PQ