Answer:
First, let's define two variables:
x = number of hours that you work at the Pollo Tropical per week
y = number of hours that you work at Jason's Deli per week
Now, you want to get enough money to go to Spring Break, we do not know how much money we need for this, so let's suppose that you need M.
With the given information, we know that the weekly earnings are:
x*$8 + y*$8.75
We can define this as the objetive function, the one that says how much money you get as a function of x and y:
M(x, y) = x*$8 + y*$8.75
Now, we know that:
"Pollo Tropical requires that you work at least 10 hours per week"
Then:
x ≥ 10
"Jason's Deli does not allow students to work more than 20 hours per week."
y ≤ 20
"you can't work more than 28 hours/week."
x + y ≤ 28
Then we have:
M(x, y) = x*$8 + y*$8.75
And the system of inequalities is:
x ≥ 10
y ≤ 20
x + y ≤ 28
Answer: See solution and explanations in the attached documents
Step-by-step explanation:
See explanations in the attached documents
(17x+19)+(19x-15)=180
36x+4=180
36x=176
x=44/9 which is approximately 4.8
mmTherefore mmmIn conclusion m
Answer:
$87,461
Step-by-step explanation:
Given that the dimensions or sides of lengths of the triangle are 119, 147, and 190 ft
where S is the semi perimeter of the triangle, that is, s = (a + b + c)/2.
S = (119 + 147 + 190) / 2 = 456/ 2 = 228
Using Heron's formula which gives the area in terms of the three sides of the triangle
= √s(s – a)(s – b)(s – c)
Therefore we have = √228 (228 - 119)(228 - 147)(228 - 190)
=> √228 (109)(81)(38)
= √228(335502)
=√76494456
= 8746.1109071 * $10
= 87461.109071
≈$87,461
Hence, the value of a triangular lot with sides of lengths 119, 147, and 190 ft is $87,461.
9514 1404 393
Answer:
y = 2/3x -20/3
Step-by-step explanation:
The perpendicular line will have a slope that is the opposite of the reciprocal of the slope of the given line:
-1/(-3/2) = 2/3
You can use the point-slope form to write the equation of that perpendicular line.
y -k = m(x -h) . . . . . line with slope m through point (h, k)
y +2 = 2/3(x -7) . . . . . the equation of the perpendicular line
__
This can be put into slope-intercept form by solving for y and simplifying.
y +2 = 2/3x -14/3
y = 2/3x -20/3
