Answer:
16,00
Step-by-step explanation:
9 years is the (time)
divide the 27 years by 9 to see how many times it doubles
the ans is 3
now simply divide the value which is $4,800 by the 3
this gives you 1,600
A company makes a profit of $60 per software program and $45 per video game. The company must produce both and can produce at most 225 software programs and at most 350 video games per week. Total production cannot exceed 455 items per week.
(a) Write out the set of inequalities you would use to represent the constraints in this situation.
(b) Identify the corner points.
(c) How many items of each kind should be produced per week to maximize profit? Show your work. Be sure
to show the comparison in your work.
Use linear programming to solve.
Step-by-step explanation:
a)
(a)255+350 <455
ans...605-455
..150
.........profit per week is 60 +45
105.
105 x 150
weekly profit is..$15750
Answer:
See below.
Step-by-step explanation:
Let's first define our variables. Let's let:
x denote the amount of software programs made and
y denote the amount of video games made.
Part A)
Now, let's write our equations and constraints.
The company can produce at most 225 software programs. So:
[tex]x\leq225[/tex]
And the company can produce at most 350 video games. So:
[tex]y\leq 350[/tex]
Total product (the sum of software programs and video games) cannot exceed 455 items per week. In other words:
[tex]x+y\leq455[/tex]
Part B)
Refer to the first graph:
We have four corner points: A, B, C, and D.
The darkest portion represents the feasible portion. Any combination of software programs and video games within this portion can be produced.
Part C)
Refer to the second graph.
To find what to produce to find the maximum profit, let's write an equation. Let P equal to maximum profit. So, it would be the sum of the total profit from the software programs and video games. We can write the following equation:
[tex]P=60x+45y[/tex]
Let's solve for y in order to graph it. Subtract 60x from both sides:
[tex]45y=-60x+P[/tex]
Divide both sides by 45:
[tex]y=-\frac{4}{3}x+\frac{P}{45}[/tex]
In order produce the maximum profit, P must be the greatest while simultaneously touching our corner points.
Note: The P, Q, R, and S are just rough estimates.
I've graphed four versions of our equation using different variables (for P). We can see that the equation with the highest profit P is the one the crosses point C with P equaling approximately $24,000.
Therefore, in order to maximize profits, the company should produce (Remember that C is at (225, 230)) 225 software programs and 230 video games.
And we're done!
what is the midpoint of BD
Answer:
I don't know what your numbers are, but if it is on a number line, just add the absolute values (always positive) of the endpoints together, and divide by 2 (find the average).
On a graph, find the average of the x coordinates, (that is midpoint x value) and the average of the y coordinates (that is midpoint y value)
Step-by-step explanation:
If you have a negative number, the absolute value is the same number, just positive. E.X. -4 the absolute value is 4.
Find the measure of angle b.
3)
b
63°
Answer:
117 is the measure
Step-by-step explanation:
because u have to subtract 180 - 63 = 117
Jules tosses a penny 3 times. List all possible combinations heads (H)
And tails (T) that Jules might get.
Please help again thanks
Answer:
Heads - Heads - Heads
Tails - Tails - Tails
Heads - Heads - Tails
Heads - Tails - Heads
Heads - Tails - Tails
Tails - Heads - Heads
Tails - Heads - Tails
Tails - Tails - Heads
Step-by-step explanation:
Step-by-step explanation:
3 times × 2 possible options = 6 possible combinations
HHH
HHT
HTH
THH
TTT
THT
Let f(x) = 2x2 and g(x) = x2-1. Then f(g(2)) =
Answer:
18
Step-by-step explanation:
Evaluate g(2), then substitute the value obtained into f(x)
g(2) = 2² - 1 = 4 - 1 = 3 , then
f(3) = 2(3)² = 2(9) = 18
1. Samuel made a 76% on his Algebra test. He got 22 questions correct. How many total questions
were on his Algebra test?
HELP PLEASE✨
Answer:
29 questions on his test
Step-by-step explanation:
set it up as fractions equal to each other so that you can solve for x
[tex]76\%= \frac{76}{100}[/tex]
x is the total number of questions on the test
we know that samuel got 22 of those questions correct, and a grade is calculated by dividing the number of correct answers by the total number of questions, so we can write
[tex]\frac{76}{100}=\frac{22}{x}[/tex]
then you can solve by cross multiplying
[tex]76x = 22 (100)[/tex]
[tex]76x=2200[/tex]
get the x by itself by dividing both sides by 76, and then you have x
[tex]\frac{76x}{76}=\frac{2200}{76}[/tex]
[tex]x=\frac{2200}{76}=28.947[/tex]
since you're not going to have .947 of a question, round it up to 29
and then you have it
[tex]x=29[/tex]
Meg walks to school and work each day and wants to track how far she walks each day. In the morning, Meg walks 7 blocks due east to school. After school, she walks 2 blocks north and then 4 blocks west to reach work. She walks straight home from work. How far does she walk in all? Enter the correct number in the box. Round to the nearest tenth.
Answer:
I am pretty sure it is 19 blocks because it is 14 blocks before going back home. She needs to walk 3 blocks west and 2 blocks south. 14+3+2=19
Step-by-step explanation:
I just need the bonus points for other assignment, it's easy.
Answer:
159/day
Step-by-step explanation:
An angle measures 168° less than the measure of its supplementary angle. What is the measure of each angle?
Answer:
11 degrees and 169 degrees
Step-by-step explanation:
it is this because supplementary is 180
Answer:
174 and 6
Step-by-step explanation:
make me brainleist
Roger has $5000 more invested at 7 1/4% then he has at 6%. If his total profit at the end of the year $659.30, how much has he invested at each rate?
Answer:
You have the number of nickels and the number of quarters both expressed in terms of the number of dimes. So let your variable be the number of dimes. Call this D. Then the number of nickels is 4D, and the number of quarters is D+6. The total value is
0.10(D) + 0.05(4D) + 0.25(D+6) = 4.25
Solve this for D, and use D to find 4D and D+6.
Step-by-step explanation:
Help please, I’m way too stressed and can’t remember any math:((
Answer:
its 400 cuz 0.1 is tenth
Step-by-step explanation:
Answer:
2.5 times 10 to the -4th power
Hope this helps!
Step-by-step explanation:
i will give you brainliest!
Answer:
110
Step-by-step explanation:
i think if its wrong im sorry
5x+7 = 8x-71 what is the value of x
Answer:
x=26
Step-by-step explanation:
5x-8×=-71-7
collect like terms and calculate
-3x=-78
divide both sides
then you get your answer ×=26
HELP PLEASE! 50 POINTS, WILL MARK BRAINLIEST WHOEVER ANSWERS FIRST!
At the Sherwood Estates pool party, each resident brought four guests. If a total of 175 people visited the pool that day, how many were residents and how many were guests?
Answer:
35 residents, 140 guests
Step-by-step explanation:
x=resident
y=guests
y=4x
x+y=175
x +4x=175
5x=175
x=175 :5
x=35 (residents)
y=4×35 =140 (guests)
Which our the following are like terms?
x^2
х
8x^2
3x^2
A Table showing Freezing Temperatures in degrees with 2 columns and 6 rows. The First row, F, has the entries, negative 13, negative 4, 5, 14, 23. The second column, C, has the entries, negative 25, negative 20, negative 15, negative 10, negative 5. The table shows temperatures below freezing measured in different units. Complete the equation in standard form to represent the relationship between F, a temperature measured in degrees Fahrenheit, and C, a temperature measured in degrees Celsius. 5F + C = 39°F = °C rounded to the nearest tenth of a degree
Answer:
5F + -9 C= 160 39°F = 3.9
Step-by-step explanation:
A Table showing Freezing Temperatures in degrees with 2 columns and 6 rows. The First row, F, has the entries, negative 13, negative 4, 5, 14, 23. The second column, C, has the entries, negative 25, negative 20, negative 15, negative 10, negative 5.
The table shows temperatures below freezing measured in different units. Complete the equation in standard form to represent the relationship between F, a temperature measured in degrees Fahrenheit, and C, a temperature measured in degrees Celsius.
5F + -9 C = 160
39°F = 3.9°C rounded to the nearest tenth of a degree
The co-relationship between temperatures measured in Fahrenheit F, and in Celsius C is shown using an equation.
The equation is: 5F = 9C + 160The temperature in degrees Celsius when temperature in degrees Fahrenheit is 39, is 3.9What is an equation?
The equation is an expression that highlights the co-relationship between two or more variables.
Let F represent temperature measured in degrees Fahrenheit, and C, a temperature measured in degrees Celsius.
At 0°C, the temperature is 32°F. Also at 100°C, the temperature is 212°F, hence:
C = (5/9)(F - 32)
First, calculating the slope (m) :
From the table we have:
m = (C₂-C₁)/(F₂-F₁)
m = (-20-(-25))/(-4-(-13))
m = 5/9
The equation is now calculated :
C = m(F-F₁) + C₁
C = 5/9 (F + 13) - 25
5F = 9C + 160
For value of C for F= 39 , we have,
C = 5/9 (F + 13) - 25
C = 5/9 (39+13) - 25
C = 3.9
Therefore, the value of C is 3.9.
Find out more on equation at:
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whts 2 + 2 ;-;..............
Answer:
i think it's 4
Step-by-step explanation:
2
+2
-------
4
Yan is climbing down a ladder. Each time he descends 4 rungs on the ladder, he stops to see how much farther he has to go. If Yan made 8 stops with no extra steps, which expression best shows another way to write the product of the number of ladder rungs that Yan climbed?
4 + 4 + 4 + 4
8 + 8 + 8 + 8
(Negative 1) (4 + 4 + 4 + 4)
(Negative 8) + (negative 8) + (negative 8) + (negative 8)
Answer:
8+8+8+8
Step-by-step explanation:
it can't be any negatives because the questions asking how many ladder rungs he climed not how far he went down. It can't be the first one cause Yan did not climb 16 rungs.
Answer:
Answer is B
Step-by-step explanation:
x2 + xy - y2 x=10 y=3
Answer:
x2+xy-y2
10*2+10*3-3*2
20+30-6
44
Step-by-step explanation:
hope this helps
When multiplying or diving by a negative number what happens to the inequality symbol
Answer: negative
Step-by-step explanation: If its -4* -5 it's going to be a positive if it's -3*4 it is going to be negative same with division.
Fill in the blanks to solve the equation.
Answer:
z/5 = 6
z=30
Step-by-step explanation:
you need 6 so 30 divided by 5 equals 6 so 6-7=-1
Point Q′ is the image of Q(5, –3) after a translation down 2 units and right 4 units. What are the coordinates of Q′?
A. (9, –5)
B. (1, 1)
C. (3, –5)
D. (1, –1)
Marcy went to a farmers market and bought $6.15 worth of apples. If she bought 8.2 pounds of apples, how much did she pay per pound?
Answer:
Which pair of structures would provide a positive identification of a plant cell under a microscope?
cell wall, mitochondria
cell wall, chloroplast
plasma membrane, large central vacuole
ribosomes, chloroplasts
Step-by-step explanation:
In 2003, the population of an African country was about 9.9 million people, which is 3 million more than 3
times the population in 1950.
Enter and solve an equation to find the approximate population p (in millions) in 1950.
An equation is 9.9+3
=p
The approximate population in 1950 was 12.9
million people.
Which transformation produces another triangle that has the same area as the one shown?
Answer:
A
Step-by-step explanation:
A reflection in the line y = -2 and then translation of 2 units right will create the same area so option (C) will be correct.
How to plot a graph?A graph is a diagram that shows the fluctuation of one variable in relation to one or more other variables.
In order to plot the graph, we need to find out y's values corresponding to x's value
After that, we need to substitute the values of x's and y's into the coordinate geometry.
If we shift the triangle anywhere then there will be no change in the area but if we apply the scale factor then since the dimension changes so its area will also change.
In all options, there is a scale factor so it will change area but in option C
A reflection in the line y = -2 reflection gives a mirror image about y = -2 but no changes in area then translation of 2 units right will shift triangle 2 units right but no effect in the area.
Hence "A reflection in the line y = -2 and then translation of 2 units right will create the same area".
For more information about the graph of a function
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#1: ZEGF and LBGC are vertical angles.
True
False
Anita found a 16-ounce jar of pickles that costs $4.80. She wants to buy the 24-ounce jar, but the price is not listed. If the unit price is the same for both sizes, how much does the 24-ounce jar of pickles cost?
Answer:
$7.20
Step-by-step explanation:
16/4.80 = 24/?
Answer:
7.20
Step-by-step explanation:
First find what one oz. costs. To do this, divide 4.80 from 16. This is 3 rounded. Multiply 3 by 24. This is 72. Move the decimal to the left once, to get 7.20.
Combine like terms:
-w^3+8-2w^3-10
Answer:
Step-by-step explanation:
3w^3-2
-w^3 + 8 - 2w^3 - 10 (collect like terms)
-3w^3 + 8 - 10 (calculate)
solution : -3w^3 - 2
4. ROLLER COASTER The platform of a roller coaster is 5 feet off the ground. The first hill rises an additional 122 feet. The first drop is 118 feet. How far off the ground is the roller coaster after the first drop?
Answer:
5+122= 127-118=?
Step-by-step explanation:
your goin to add 5 and 122. Then subtract 118. Hope this helped if you still cant get the answer just say so in the comments
5. Solve:
(6x - 9) + 7x = 5x - 13
Answer:
13X- 9 = 5X - 13
Step-by-step explanation:
Answer:
[tex](6x - 9) + 7 x = 5x - 13[/tex]
[tex]6x - 9 + 7x = 5x - 13[/tex]
[tex]6x + 7x - 5x = 9 - 13[/tex]
[tex]8x = - 4[/tex]
[tex]x = - \frac{ 4}{8} [/tex]
[tex]x = - \frac{1}{2} [/tex]
