El precio <em>resultante</em> con descuento de 12 % es igual a 342.32 pesos.
<h3>¿Cómo hallar el precio resultante con descuento?</h3>
En este problema tenemos que determinar el precio <em>resultante</em>, el cual es igual al precio <em>inicial</em> menos el descuento. A continuación, se presenta la siguiente expresión:
x = 389 · (1 - 12/100)
x = 389 - 46.68
x = 342.32
El precio <em>resultante</em> con descuento de 12 % es igual a 342.32 pesos.
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Step-by-step explanation:
3x+2y=22
5x-2y=42
by adding both equation
8x. =64
x=64/8=8
substituting x in the 1st equation
we get,
3*8+2y=22
24+2y=22
2y=22-24
y=-2/2=-1
therefore,
x=8
y=-1
Answer:
Line 1: m = 2
Line 2: m = 2
The lines are parallel.
Step-by-step explanation:
First, ensure both lines are in the slope-intercept form given as y = mx + b. where m is the slope of the line.
If the slope of both lines are the same, they are parallel.
If the slope of one is the negative reciprocal of the other, they are perpendicular.
If the slope of both lines are different and one is neither the reciprocal of the other, then they are neither parallel nor perpendicular.
✍️Line 1, y = 2x + 5, is already in the slope-intercept form.
✅The slope of Line 1 is 2
✍️Line 2, y - 3 = 2(x + 15), is in point-slope.
We can decide to rewrite in the slope-intercept form or directly determine the slope as it is given. The slope is 2. But to be sure, let's rewrite as y = mx + b.
y - 3 = 2(x + 15)
y - 3 = 2x + 30
Add 3 to both sides
y = 2x + 33
✅As we can see, the slope of line 2 is 2.
✍️Line 1 and line 2 has the same slope of 2, therefore the lines are parallel.
Answer:
Step-by-step explanation:
If a given variable varies inversely with another variable, an increase in the value of the given variable would cause a corresponding decrease in the value of the other variable. Also, a decrease in the value of the given variable would cause a corresponding increase in the value of the other variable.
If y varies inversely with x, we would introduce a cost of variation, k so that the expression becomes
y = k/x
When y = 0.25, x = 8
Substituting into the expression above, it becomes
0.25 = k/8
k = 0.25 × 8
k = 2
The inverse variation function is
y = 2/x
Answer:
0.63
Step-by-step explanation:
To get the relative frequency of students with red hair, we need to find the relative frequency of students with red hair from the students with gray eyes.
Since we already know that the total number of students with gray eyes is 35 and the number of red hair students with gray eye is 22
The formula we will use to calculate the relative frequency will be
The relative frequency of students with red hair = Total students of red hair with gray eyes divide by total number of gray eye students
22 ÷ 35 = 0.628 ≅ 0.63