The optimal number of pots and plates Josh should make is given from
the graph of the inequalities.
Response:
a. 2·p + a ≤ 50
p ≤ 24
a ≤ 40
b. The coordinates of the vertices of the feasible region are; (24, 2), (40, 5), (0, 40), (24, 0), (0, 0)
c. 40 pots and 5 plates
How can the optimal number of plates and pots Josh should make be found?Given:
Number of days Josh has to make pots and plates to sell = 8 days
Weight of each pot = 2 pounds
Weight of each plate = 1 pound
Weight Josh cannot carry = More than 50 pounds
Number plates he can make each da = At most 5 plates
Number of pots he can make each day = At most 5 pots
The profit Josh makes for each plate sold = $12
Profit from each pot sold = $25
a. Let p represent the number of pots Josh makes and let a represent the
number plates. The linear inequalities are;
2·p + a ≤ 50
p ≤ 8 × 3 = 24
p ≤ 24
a ≤ 5 × 8 = 40
a ≤ 40
b. When p = 24, we have;
2 × 24 + a = 50
a = 2
When a = 40, 2·p + 40 = 50, gives;
p = 5
The vertex points are;
The coordinates of the vertices of the feasible region are;
(24, 2), (40, 5), (0, 40), (24, 0), (0, 0)
c. The profit function is; P = 25·p + 12·a
The profit at the vertices are;
[tex]\begin{tabular}{|c|c|c|}p&a&Profit\\0&0&0\\0&40&12 \times 40 = 480\\24&0&25 \times 24 = 600\\24&2&12 \times 2 + 25 \times 40 = 624\\40&5&12 \times 5 + 25 \times 40 = 660\end{array}\right][/tex]
To maximize his potential profit, therefore;
Josh should make 40 pots and 5 plates.Learn more about linear optimization here:
https://brainly.com/question/15356519
In large cities, people often take taxis to get from one place to another. If a 36 mile costs $25.20, what is the cost per mile? How much would a 47 mile ride cost? I need two answers
Answer:
$0.70 per mile
47 miles = $32.90
Step-by-step explanation:
Set up a proportion
36 miles / $25.20 = 1 mile / $x
Cross multiply
36x = 25.20
Divide both sides by 36
x = 0.7
0.7 × 47 to find the cost for 47 miles
0.7 × 47 = 32.90
I hope this helped and please mark me as brainliest!
Given the directrix of y = −1 and focus of (0, 3), which is the equation of the parabola? y = one eighthx2 − 1 y = −one eighthx2 1 y = one eighthx2 1 y = −one eighthx2 − 1.
Check the picture below.
so as we can see, the focus point is above the directrix, meaning the parabola opens upwards, and since the vertex is halfway between the directrix and focus point, that means the vertex is at (0 , 1), and distance from the vertex to either the focus or directrix is 2, namely p = 2, and is positive since is opening upwards, thus
[tex]\textit{vertical parabola vertex form with focus point distance} \\\\ 4p(y- k)=(x- h)^2 \qquad \begin{cases} \stackrel{vertex}{(h,k)}\qquad \stackrel{focus~point}{(h,k+p)}\qquad \stackrel{directrix}{y=k-p}\\\\ p=\textit{distance from vertex to }\\ \qquad \textit{ focus or directrix}\\\\ \stackrel{"p"~is~negative}{op ens~\cap}\qquad \stackrel{"p"~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] ~\dotfill[/tex]
[tex]4(\stackrel{p}{2})(y-\stackrel{k}{1})=(x-\stackrel{h}{0})^2\implies 8(y-1)=x^2 \\\\\\ y-1=\cfrac{x^2}{8}\implies \boxed{y=\cfrac{1}{8}x^2+1}[/tex]
simple equation
on fraction
Answer:
simple answer on fraction
If m L=65, then m LJK=___ ????? PLS HELP ASAP
Answer:
50 degrees
Step-by-step explanation:
If angle L = 65 then the top angle for the triangle LMJ has to be 25 degrees as M is a right angle (or at least has to be for this problem to be possible)
the math to figure it out is 90+65+x=180 <-- due to triangles are 180 degrees inside which simplifies to 25 after that you just have to at 25 to itself 25+25 to get 50 which is the angle of J
can someone help me please
The answer is x = 54*
Answer:
x=54º
Step-by-step explanation:
Given that lines m and n are parallel, we can now solve for x.
I have attached an image of the problem and as you can see 4 is across from 1. 4=54º meaning that 1 will equal 54º.
x=54º
I hope this helps :)
right answer gets brainliest
Answer: (x=-19) as was on my question.
0.175 as a percentage
Answer: 17.5%
To convert from decimal to percent, just multiply the decimal value by 100. In this example we have: 0.175 × 100 = 17.5% (answer).
➥ The ease way:
1) Move the decimal point two places to the right: 0.175 → 1.75 → 17.5.
2) Add a % sign: 17.5%
Answer: 17.5%
Answer:
0.175x 100= 17.5
Step-by-step explanation:
Hope this helps!!
-Liyah
please help on this question, only the third question I need help on
Answer:
36.17ft
Step-by-step explanation:
tan 35 = 17/dist
dist = 17/0.47
36.17 = dist
To find the distance across a lake, a
surveyor took the measurements in the
figure shown. Use these measurements to
determine how far it is across the lake.
a = ___ yd
(Round the answer to the nearest whole number.)
The distance across the lake, a is 611 yards
Right angle triangle:
Right angle triangle have one of its angles as 90 degrees. Therefore, the side a can be found using trigonometric ratios,
Therefore,
tan 47° = opposite / adjacent
tan 47° = a / 570
cross multiply
a = 570 tan 47°
a = 570 × 1.07236871002
a = 611.250164714
a = 611 yards
learn more on right triangle here: https://brainly.com/question/18450490
If line L is parallel to line K, then they
will never intersect.
Choose the equivalent statement.
A. If lines L and Kintersect, then they are not parallel
lines.
B. If lines L and Kare not parallel, then they will not
intersect.
C. If lines L and K never intersect, then they are not
parallel
An equivalent statement will be if lines L and K intersect, then they are not parallel.
Parallel linesParallel lines are lines that do not meet. The angle between the parallel lines is 0 degrees
The statement if line L is parallel to line K, then they will never intersect is true and an equivalent statement will be if lines L and K intersect, then they are not parallel.
This is determined using the contrapositive statements
Learn more on parallel lines here: https://brainly.com/question/24607467
Answer: A. If lines l and k intersect they are not parallel
Step-by-step explanation: trust meh
Federal income tax rates are??
Answer:
Progressive
Step-by-step explanation:
Progressive tax rates increase as a person's income increases
what is an equation of the line that passes through the points -5,-5 and -5,5 write your answer in the simplest form.
Answer:
x = -5
Since there are 2 points along the y-axis where x = -5, the equation x = -5 is one possible solution.
2(x - 3) = y + 1
Please help me
Answer:
y=2x-7, the slope is two and the y-intercept is -7
Step-by-step explanation:
2(x-3)=y+1
Distributive prop.
2x-6=y+1
Changing into slope-intercept form
y+1=2x-6
Subtract both sides by one
y=2x-7
The slope is two and the y-intercept is -7
Find the area of the figure 11cm 8cm 7cm
Mary brought $20 to the skating rink. She paid $5.50 admission and $3.75 to rent skates. She also purchased two bottles of water for $1.25 each, and a snack for $2.75.Which expression can be used to determine how much money Mary has left?
Answer:
20-14.5=5.5
Step-by-step explanation:
Answer:
yooooooooooo
Step-by-step explanation:
1 . A
2 . 5.50
on edge
ur welcome
The Pyramid of Khufu in Giza, Egypt was the world's tallest free-standing structure for more than 3,500 years. Its original height was about 144 meters. Its base is approximately a square with a side length of 231 meters.
The scale factor used was 1/3 and the dimension of the cross section is a square base with side length of 77 m and a height of 48 m.
TransformationTransformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, translation, reflection and dilation.
Dilation is the increase or decrease in the size of a figure by a factor k.
Given that the height of the big pyramid = 144 m
Height of the small pyramid = 144 - 96 = 48 m
Scale factor = 48 / 144 = 1 / 3
Side length of small pyramid = (1/3) * 231 = 77 m
The scale factor used was 1/3 and the dimension of the cross section is a square base with side length of 77 m and a height of 48 m.
Find out more on Transformation at: https://brainly.com/question/1548871
Are 0.5 – 3(-2x - + 4 + 8x) and -1.5(12x + 7) equivalent expressions?
Step-by-step explanation:
what is sampling in mathematics
Which is the solution set of 7y +1> 8y- 9?
Answer:
y < 10 or (10, -∞)
Step-by-step explanation:
7y + 1 > 8y - 9
Simply get the y's on the right by subtracting 7y from both sides:
1 > y - 9
then adding 9 to both sides:
y < 10
or in interval notation:
(10, -∞)
Robbie has 2 times as many apples as Bob. After receiving 35 more, Robbie now has 7 times as many as Bob. How many apples does Bob have?
Answer: 18.5 apples
Step-by-step explanation:
In a class, there are 15 boys and 20 girls. What is the ratio of boys to girls in this class?
3:4
4:5
5:4
4:3
Answer:
3:4 is the answer by dividing 15 and 20
Answer:
3:4
Step-by-step explanation:
15/20 reduced as much as possible is 3:4
A rectangle, a triangle, and two congruent semicircles were used to form the figure shown.
8 cm; 4cm; 6cm; 3 cm.
Which measurement is closest to the area of the figure in square centimeters?
The area of a shape is the amount of space it occupies
The area of the figure is 218.5 square centimeters
How to determine the area of the shapeWe start by calculating the area of the rectangle using:
[tex]Area = Length * Width[/tex]
[tex]A_1 = 5cm * 20cm[/tex]
[tex]A_1 = 100cm^2[/tex]
Next, we calculate the area of the triangle using:
[tex]Area = 0.5 * base * Height[/tex]
[tex]A_2 = 0.5 * 10cm * 8cm[/tex]
[tex]A_2 = 40cm^2[/tex]
Lastly, calculate the area of the two semicircles
[tex]Area =\pi r^2[/tex]
[tex]A_3 = 3.14 * 5^2[/tex]
[tex]A_3 = 78.5[/tex]
So, the area of the shape is:
[tex]Area = A_1 + A_2 + A_3[/tex]
[tex]Area = 100cm^2 + 40cm^2 + 78.5cm^2[/tex]
[tex]Area = 218.5cm^2[/tex]
Hence, the area of the figure is 218.5 square centimeters
Read more about areas at:
https://brainly.com/question/17297081
Please help ill mark brainliest
Answer:
x = 3
Step-by-step explanation:
since it's hitting 3 on the x axis and just goes up and down where 3 is, all the points have an x of 3 and nothing else. making the equation x = 3
In Mrs. Barrios’ 7th period, there are 9 girls and 12 boys. What ratios are equivalent to 9:12? Select all that apply
i cant tell if this is easy or not lol
__________________________________________________________
Answer:
x= -19/2
__________________________________________________________
Answer:
just trust me its hard to explain but i do know the answer is x= -19/2
Step-by-step explanation:
Mari's dad paid $23.79 to fill up his car with gas. Mari's mom paid $27.39 to fill up her car with gas. Mari's dad pald
than Mari's mom.
Less or more
Answer:
Mari's mom paid more than Mari's dad.
Step-by-step explanation:
Mari's mom paid $27.39. This is a bit more than $27.
Mari's dad paid $23.79. This is a bit more than $23.
Since $27 > $23, then $27.39 > $23.79.
Mari's mom paid more than Mari's dad.
Answer:
Mari's dad paid less than Mari's mom.
Step-by-step explanation:
23.79 is less than 27.39
Hope it helped!
Multiply: (5x - 2)(4x^2 - 3x -2)
Option B.
5x−2)(4x^2−3x−2)
=(5x+−2)(4x^2+−3x+−2)
=(5x)(4x^2)+(5x)(−3x)+(5x)(−2)+(−2)(4x^2)+(−2)(−3x)+(−2)(−2)
=20x^3−15x^2−10x−8x^2+6x+4
=20x^3−23x^2−4x+4
Solve each system by substitution
2x+y=20
6x-5y=12
what is (x,y)?
Answer:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
Point Form:(7,6)
Equation Form: x=7, y=6
2x+y=20
6x-5y=12
First get y by its self
2x+y=20
y= -2x+20
Now plug into second equation for y
6x-5(-2x+20)=12
6x+10x-100
16x-100=12
16x=112
x=7
now plug in x value into first equation and solve for y
2(7)+y=20
14+y=20
y= 6
Now check by plugging x and y values back into equation
2(7)+6=20
6(7)-5(6)=12
They both work so x=7 and y =6
3
12. A rectangle has a height of 1 and 3/4 feet. The
area is 5 and 5/6square feet. What is its length?
Answer:
L = 3 1/3 feet
Step-by-step explanation:
A = length × width
now let's change all the mixed numbers into improper fractions:
35/6 = 7/4 × L
we must divide each side by 7/4
35/6 ÷ 7/4 is the same as 35/6 × 4/7 = 20/6 or 3 1/3
Let me know how to do this?
Answer:
32
Step-by-step explanation
from my understanding W=12
and E=20, E and F are the same meaning F is also 20
so W and F would equal 32
Im so confuse, please help me :)
Answer:
56 units
Step-by-step explanation:
When working with perimeter in a triangle you have to add all the length of each of the sides.
