Answer:
x=-3
Step-by-step explanation:
This is a one step solution all you do is divide 5 into -15
-15/5 = -3
so -3 = x
Answer:
X > 21000
Step-by-step explanation:
Given the following :
Payment plans :
PLAN A:
salary = $1000 per month
Commision = 10% of sales
PLAN B:
salary = $1300 per month
Commision = 15% of sales in excess of $9,000
Hence, for plan B; 15% is paid after deducting $9000 from total sales
For what amount of monthly sales is plan B better than plan A if we can assume that Mike's sales are always more than $9,000.00?
That is ;
Plan B > plan A
Let total sales = x
Plan A:
$1,000 + 0.1x
Plan B:
$1,300 + 0.15(x - 9000)
1300 + 0.15(x - 9000) > 1000 + 0.1x
1300 + 0.15x - 1350 > 1000 + 0.1x
0.15x - 50 > 1000 + 0.1x
0.15x - 0.1x > 1000 + 50
0.05x > 1050
x > 1050/0.05
x > 21000
Answer:
Masses Below 6: Histogram
Median Mass: Box Plot
Step-by-step explanation:
For the pumpkins below 6 kilograms in mass, the Histogram is easier to use. The information is grouped in different masses. You could look at the '0-2.9' and the '3.0-5.9' areas to see pumpkins under 6 kilograms.
For the median, the box plot is easier to use. The line inside the box represents the median. This means that you can very easily see the median. The line is at the '8' mark, so the box plot shows that the median is 8.
<em>Brainilest Appreciated. </em>
Sure you do.
What is the x-intercept ? It's the point where the graph crosses the x-axis.
But y=0 at every point on the x-axis ! So the x-intercept is the point where
5x + 3(0) = k
5x = k
<u>x = 0.2 k</u>
Similarly ... What is the y-intercept ? It's the point where the graph crosses the
y-axis. But x=0 at every point on the y-axis ! So the y-intercept is the point where
5(0) + 3y = k
3y = k
<u>y = k/3</u>
The sum of the x- and y-intercepts is 32.5 .
0.2k + k/3 = 32.5
Multiply each side by 5 :
k + 5k/3 = 162.5
Multiply each side by 3 :
3k + 5k = 487.5
8k = 487.5
Divide each side by 8 :
<u>k = 60.9375 </u>
The x-intercept is (0.2k, 0) = the point (12.1875, 0) .
The y-intercept is (0, k/3) = the point (0, 20.3125) .
Those are the two points. Now it wants you to find the distance between them.
Do you remember how to find the distance between 2 points ?
Find the (difference of their x-values) and square it.
Find the (difference of their y-values) and square it.
Add the two squares together.
Take the square root of the sum.
That's the distance between the points.
(12.1875)² + (20.3125)² = the square of the distance.
If you don't get 23.688 for the distance, then check your arithmetic.
