Answer:
For the profit to be maximized, 20 software programs and 80 video games should be produced
Step-by-step explanation:
Let x represent the number of the software programs and let y represent the number of video games.
We are told that the company can produce at most 70 software programs and then, at most 80 video games per week. Thus;
x ≤ 70
y ≤ 80
Also, we are told that the overall production cannot exceed 100. Thus;
x + y ≤ 100
Since the company makes a profit of $15 per software program and $10 per video game. Then, the function to be maximized is;
15x + 10y
When they produce at most 70 software programs, it means that the number of video games that can be produced is: 100 - 70 = 30.
Thus, one point of maximizing values is; (70, 30)
Also, when they produce at most 80 video games per week, the number of software programs that can be produced is; 100 - 80 = 20.
Thus, second point of maximization is;
(20, 80)
Putting these points into the objective function, we have;
At (70, 30); 15(70) + 10(30) = $1350
At (20, 80); 15(20) + 10(80) = $1100
For the profit to be maximized, 20 software programs and 80 video games should be produced
Miguel baked 42 cookies for a charity bake sale. He made packages with 3 cookies in each. What equation can be used to find how many packages, p, of cookies Miguel made?
Answer:3p=42 (p=14)
Step-by-step explanation:
Since there are 3 cookies in each pack you would need to divide.
PLZ PLZ PLZ I NEED HELP!!!!
Answer:
The answer is B
Step-by-step explanation:
Divide the distance by the time.
whats the answer to 5+6x=2-7
Answer:
x= -5/3
Step-by-step explanation:
hope this helps :) have a nice day !!
Evaluate 10b + 3c, if b=3 and c = 11.
Answer:
63
Step-by-step explanation:
10 × 3 = 30
3× 11 = 33
30 + 33 = 63
In this diagram, the measure of
Answer:
2x - 60 = 180
Step-by-step explanation:
Angles RQS and PQS form a linear pair, so they are supplementary.
The sum of their measure is 180°.
Both angle measures are unknow, so let's use x for the measure of <PQS.
The measure of angle RQS is 60° less than the measure of <RQS, so it is
x - 60
Now we add the measures and set the sum equal to 180.
x + x - 60 = 180
Combine like terms on the left side.
2x - 60 = 180
Answer: 2x - 60 = 180
Simplify to create an equivalent expression. 8(10-6q)+3(-7q-2)}8(10−6q)+3(−7q−2)
Answer:
-69q+74
Step-by-step explanation:
Distribute:
80-48q-21q-6
Simplify:
74-69q
I WILL GIVE BRAINLIEST IF CORRECT
Answer:
Vertical compression
Step-by-step explanation:
g(x)=0.25f(x), if you substitute for f(x) you get B
Write a System of Equations to solve the following problem:
The county fair is a popular field trip destination. This year the senior class at High School A and the senior class at High School B both planned trips there. The senior class at High School A rented and filled 13 vans and 2 buses with 211 students. High School B rented and filled 4 vans
and 4 buses with 268 students. Each van and each bus carried the same number of students. Find the number of students in each van and in each bus.
#students each VAN can carry:
#students each BUS can carry:
Answer:
each van carries 7 students
each bus carries 60 students
Step-by-step explanation:
let v = # students in a van
let b = # students in a bus
system of equations:
13v + 2b = 211
4v + 4b = 268
I multiplied the 1st equation by -2 to eliminate the 'b' terms
-26v - 4b = -422
+ 4v + 4b = 268
-22v = -154
v = 7
substitute '7' for 'v':
4(7) + 4b = 268
28 + 4b = 268
4b = 240
b = 60
Answer:
13v + 2b = 211
4v + 4b = 268
#students each VAN can carry: 7
#students each BUS can carry: 60
Step-by-step explanation:
Let v = number of students in each van.
Let b = number of students in each bus.
High School A:
13v + 2b = 211
High School B:
4v + 4b = 268
The system of equations is
13v + 2b = 211
4v + 4b = 268
We will solve this system of equation with the addition method.
Write the first equation as it is. Divide both sides of the first equation by 2 and write it below the first equation. Then add the equations.
13v + 2b = 211
(+) -2v - 2b = -134
----------------------------
11v = 77
Divide both sides by 11.
v = 7
Substitute 7 for v in the first original equation and solve for b.
13v + 2b = 211
13(7) + 2b = 211
91 + 2b = 211
Subtract 91 from both sides.
2b = 120
Divide both sides by 2.
b = 60
Answer:
13v + 2b = 211
4v + 4b = 268
#students each VAN can carry: 7
#students each BUS can carry: 60
How do I draw and determine the equation of a trend line on a scatterplot
Step-by-step explanation:
Step 1: Draw your trend line.
You begin by drawing your trend line. You want your trend line to follow your data. You want to have roughly half your data above the line and the other half below the line, like this:
trend line equation
Step 2: Locate two points on the line.
Your next step is to locate two points on the trend line. Look carefully at your trend line and look for two easy to figure out points on the line. Ideally, these are points where the trend line crosses a clearly identifiable location.
For the trend line that we just drew, we can see these two easily identifiable points.
trend line equation
We can easily identify these two points as (3, 3) and (12, 6).
Step 3: Plug these two points into the formula for slope.
The formula for slope is this one:
trend line equation
We can label our first point as (x1,y1), and our second point as (x2,y2). So our x1 is 3, our y1 is 3, our x2 is 12, and our y2 is 6. Plugging these values into the equation for slope and evaluating, we get this:
trend line equation
So our slope is 1/3.
Yuki concluded:
"It's not possible to map AABC onto AFED using a sequence of rigid transformations, so the triangles
are not congruent."
What error did Yuki make in her conclusion?
Answer:
One more transformation — a rotation — would map △ABC onto △FED So the triangles are congruent.
Step-by-step explanation:
Yup
Write each power as a product of the same factor. Then find the value. 7^2
Answer:
49
Step-by-step explanation:
7^2=49
Watch help video
In ATUV, the measure of V=90°, the measure of ZU=58°, and TU = 38 feet. Find
the length of VT to the nearest tenth of a foot.
U
589
38
v
T
Х
Answer:
awit wala akong maintindihan. srna agad
What is 20.30 - 19.70 and what are the solving steps?
Answer
0.6
Step-by-step explanation:
here is the working out! Can i get brainliest
Answer:
Look at the image!!
Step-by-step explanation:
Hope this helps!!
Sorry for the bad righting XD
If you want to learn more search Mathisfun.com!!
what did you put for #3?
Answer:
huh
Step-by-step explanation:
0.6h=13.02 show work
Answer:
21.7
Step-by-step explanation:
0.6h=13.02
h=13.02/0.6
h=21.7
Answer:
21.7
Step-by-step explanation:
0.6h=13.02
h=13.02/0.6
h=21.7
please solve this for me
Answer:
its A
Step-by-step explanation:
TRUST!
What is the
length and the base.
The height of a triangle is 2m more than the base. The area is 17.5 m^2.
Answer: 5 m
Step-by-step explanation:
Double the area to get 35. then think what two number multiply to get 35 that are also 2 apart. 7 x 5. So 7 is the height and 5 is the base.
Check answer: A = 1/2xbxh
A = 1/2 x 7 x 5
A = 1/2 x 35
A = 17.5 sq m
Find two acute angles that satisfy the equation sin(2x + 8) = cos(x + 28). Check that your answers make sense.
The smaller angle is
°.
The larger angle is
Step-by-step explanation:
why is my brainly sux lol due dude.ex
Points A, B, C, and D are vertices of a square. Point E is inside the square. Explain how to tell whether point E is closer to A, B, C, or D.
Answer:
To determine if a point E inside a square is closer to any of the vertices of the square we have to determine the length of the diagonals between the point E and the vertices of the square i.e. AE, BE, CE, DE
The diagonal can be determined by applying Pythagorean's theorem
Step-by-step explanation:
To determine if a point E inside a square is closer to any of the vertices of the square we have to determine the length of the diagonals between the point E and the vertices of the square i.e. AE, BE, CE, DE
The diagonal can be determined by applying Pythagorean's theorem
Rome had to pay yearly
tribute to Carthage..
Is this true or false
Answer:
True
Step-by-step explanation:
At least that's what wiki says
Lengths
Can be side lengths
of a triangle
Cannot be side
lengths of a triangle
9.5, 14.5, 4.5
3, 18,9
5, 15,8
27, 8,7
Answer:
9.5 14.5 and 4.5
Step-by-step explanation:
That’s correct
A box has the following dimensions: length = x +7, width = x - 4, height = 2x-6. Find the volume of the box if x is 5
Mrs. Gilbert is interested in determining how many students spend 4 or more hours doing homework each week. She asks every student who earned Honor Roll for the first semester. Is her survey biased or unbiased?
A. biased, because she didn't ask random students
B. unbiased, because she asked every student on honor roll
C. biased, because she only asked students on honor roll
D. unbiased, because first semester is over
Answer:
C. Biased, because she only asked students on honor roll.
Step-by-step explanation:
Since Mrs. Gilbert's goal was to find how many students that spent >4 hours and not how many students that earned Honor Roll that spent >4 hours, the data is biased. Choose C.
SOMEONE HELP PLEASE!! ITS DUE AT 16:00 UK TIME ILL GIVE YOU BRAINLIEST IF ITS RIGHT!!!
Answer:
From left column to right
Left Right
1. 23a+18 1. 7a-6
2. 23a-6 2. 7a-18
3. 23a-18 3. 7a+6
4. 0a+4 4. 0a+0
Step-by-step explanation:
The first example you distribute by doing 3 x 5a plus 3 x 2 + 4 x 2a + 4 x 3
Answer is 15a+6+8a+12=
23a+18
Hope this helped :)
factor tree 50 and 75 math
Answer:
2 x 25 (50)
3 x 25 (75)
Step-by-step explanation:
What is the perimeter of JKL?
Answer:
The perimeter of JKL is 60 units.
Step-by-step explanation:
The two tangents of a circle formed by a vertex outside the circle will always be the same distance, this means that JA = JB = 13, LA = LC = 7, and KB = KC = 10. JL = JA + LA = 20, KL = LC + KC = 17, and JK = JB + KB = 23. So the perimeter of triangle JKL is 20 + 17 + 23 = 60 units.
help the pictures underneath
Answer:
Step-by-step explanation:
I believe the correct answer is A, but im not sure. Hope it helps! <3
Answer:
a
Step-by-step explanation:
it takes a long time for a river to carve a path through rock. for example it took the grand canyon 5-6 million years to form by way of river erosion
Simplify Please and Thank you!
Answer:
[tex]2\sqrt{6}[/tex]
Step-by-step explanation:
[tex]\sqrt{24} \\= \sqrt{4} * \sqrt{6}\\= 2\sqrt{6}[/tex]
Help please
what is 61x18x4x487?
Answer:
2138904
Step-by-step explanation:
yep
Answer:
61x18x4x487=2138904is your answer
Rebecca ran 21 miles in 5 hours. If she ran at a constant speed, how many miles did she run in 2 hours? 8.4 miles 42 miles 4.2 miles 1.2 miles
Answer: 8.4 miles
Step-by-step explanation:
d = rt
Solve for her rate
21 = 5r
r = 21/5
r = 4.2
Solve for if the time is 2 hours and rate (solved previously) is 4.2
d = 4.2*2
d = 8.4
The distance traveled by Rebecca in 2 hours is given by d = 8.4 miles and the speed is S = 4.2 miles / hour
What is Speed?Speed is defined as the rate of change of position of an object in any direction. Speed is measured as the ratio of distance to the time in which the distance was covered. Speed is a scalar quantity as it has only direction and no magnitude
Speed = Distance / Time
Given data ,
Let the total distance ran by Rebecca be D = 21 miles
The time taken by her to travel 21 miles T = 5 hours
So , the speed of Rebecca S = D / T
On simplifying , we get
S = 21/5
S = 4.2 miles per hour
Therefore , the speed of Rebecca is 4.2 miles / hour
Now , let the time taken be T₂ = 2 hours
So , the distance traveled in 2 hours , D = ST₂
D = 4.2 x 2
D = 8.4 miles
Hence , the distance traveled is 8.4 miles
To learn more about speed click :
https://brainly.com/question/19930939
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