Step-by-step explanation:
Let's say S is the number of small boxes and L is the number of large boxes.
S + L = 26
7S + 13L = 254
Solve the system of equations using substitution.
7S + 13(26 − S) = 254
7S + 338 − 13S = 254
84 − 6S = 0
S = 14
L = 26 − S
L = 12
The company shipped 14 small boxes and 12 large boxes.
Slope of the line is -4/5, y-intercept is 3, equation in slope-intercept form is y = -4/5 x + 3 and the x-intercept is 15/4
Step-by-step explanation:
Slope = (y2 - y1)/(x2 - x1)
Here, x1 = 0, y1 = 3, x2 = 5, y2 = -1 (based on the plotted points)
⇒ m = (-1 - 3)/(5 - 0) = -4/5
- Step 2: Find the y-intercept
y-intercept is the point where the line intersects the y-axis.
Here, the y-intercept, b = 3
- Step 3: Write the equation of the line in slope-intercept form
y = mx + b ⇒ y = -4/5 x + 3
- Step 4: Find the x-intercept using the equation.
x-intercept is the point where the line intersects the x-axis. Then y = 0
⇒ 0 = -4/5 × x + 3
⇒ -4/5 × x = -3
⇒4x = 15
∴ x = 15/4
Answer
{-10, 9}
Step-by-step explanation:
The above are Simultaneous equations
<h2>
What are simultaneous equations?</h2>
These are two or more equations that share same variables.
8X + 10Y = 10--------(1)
5X + 4Y = -14-------(2)
<h3>Multiply equation (1) by 5 and equation (2) by 8</h3>
40X + 50Y = 50 ---------(3)
40X + 32Y = - 112--------(4)
<h3>Subtract equation (4) from (3)</h3>
18Y = 162
<h3>Divide bothsides by 18</h3>
<h3>Substitute y = 9 into equation (3)</h3>
40X + 50Y = 50
40X + 50(9) = 50
40X + 450 = 50
40X = 50 - 450
40X = - 400
<h3>
</h3>
{-10, 9}
Step-by-step explanation:
x = 1, y = 5
x = 2, y = 3
x =3, y= 1
x=4 y=-1
If the TV is 70% off, then that means she paid 30% of the original cost. If 30% of the original cost is $120, then...
30% * x = 120
.30x = 120
x = 120/.30
x = 400
The original cost was $400
