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
mehjgsgwqididhdgascccknska
Answer:
Yo, thx for the free points man
Step-by-step explanation:
Pablo is buying tile to install in his bathroom. The
sketch of his floor is shown.
How much tile must Pablo purchase to cover his
bathroom floor?
6 ft
O 24 square feet
O 30 square feet
O 45 square feet
90 square feet
6 ft
3 ft
9 ft
Answer:
45 so C
Step-by-step explanation:
Its right on edge
What's the number that is halfway between numbers 0 and 121?
Halfway Between 0 and 121
Halfway Between
When you ask "What number is halfway between 0 and 121?" we assume you mean the number in the exact middle of the two numbers on a number line, as illustrated below, where X=0 and Y=121.
Halfway Between Line
To find the number halfway between 0 and 121, we use the following formula:
(X + Y)/2 = Halfway Between
When we enter 0 and 121 into our formula, we get:
(0 + 121)/2 = 60.5
Thus, the number halfway between 0 and 121 is 60.5
Answer:
solution given;
half way between 0 and 121=?
let a=0
and
b=121
we have
halfway =[a+b]/2=[0+121]/2=60.5
half way between 0 and 121 is 60.5
What expression is equivalent to 9(3x + 8)? *
Step-by-step explanation:
This is what it is equal to:
9×3x=27x
9×8=72
Therefore it will be:
[tex]27x + 72[/tex]
hope it helps!
Answer:
27x+72
Step-by-step explanation:
You have to use the distributive property to simplify the expression. Therefore, you have to multiply both terms inside the parentheses.
1. 9*3x=27x
2. 9*8=72
They could not be added together, as they are not like-terms. So, you just write it down as 27x+72.
Given the measure of two of the angles, find the measure of the 3rd
Answer:
Measure of 3rd angle is 80 degrees
angle SAX - angle PAX = measure of 3rd angle (SAP)
hence 141 - 61 = 80 degrees
hence measure of 3rd angle is 80 degrees
GOOD LUCK FOR THE FUTURE! :)
f(x) = 10(1/2)x is it linear, exponential or neither
Answer:
It is a linear.
Step-by-step explanation:
Because after factor the function you will get f(x)= 5x, and the linear function is y=ax.
Use the word bank to identify the correct vocabulary word that goes with circle J below.
Answer:
HDE is the semicircle
EH is the diameter
Can someone help me plz?? and if u answer it can u explain how you got the answer? thx :)
Answer:
x=5
Step-by-step explanation:
2x+7=5x-8
+8+7=5x-2x
15=3x
15/3
x=5
6. What is the value of n? 3/8n - 1/3 = 5/6
Answer:
n= 3 1/9
Step-by-step explanation:
3/8n= 5/6 + 1/3
3/8n = 7/6
n = 7/6 ÷ 8/3
n=28/9
n= 3 1/9
Answer:
I think it's 3 1/9
Step-by-step explanation:
3/8n-1/3=5/6
×3. ×8. ×4
9/24n-8/24=20/24
+8/24. +8/24
9/24n=28/24
÷9/24. ÷9/24
n=28/24÷9/24
n=28/24×24/9
n=672/216
n=28/9
n=3 1/9
Michelle owns a hair salon. She has 150 customers per month. On average, the price Michelle
charges her customers is £20. The cost to Michelle of providing each hair cut is £4. Michelle
has other costs of £500 for things like advertising and rent,
HOW MUCH PROFIT DOES MICHELLE'S HAIR SALON MAKE IN 3 MONTHS?
Help me number 4 asap
Answer:
B
Step-by-step explanation:
Answer:
the answer is b. -4y+1
Step-by-step explanation:
b -4y+1
what is the perimeter of a quadrilateral with vertices at (-5,-2),(-4,-2),(-5,1), and (-4,1) enter the answer in the box
Answer:The formula to find the perimeter of the quadrilateral = sum of the length of all the four sides.Here the lengths of all the four sides are 5 cm, 7 cm, 9 cm and 11 cm.Therefore, perimeter of quadrilateral = 5 cm + 7 cm + 9 cm + 11 cm = 32 cm
Step-by-step explanation:
Complete the following statement: |-13| __ -(-13)
A movie ticket costs $12 with a discount of 5%. What is the amount of discount and the sale price?
Answer:
0.6
Step-by-step explanation:
If
[tex] \frac{3 + \sqrt{2} }{3 - \sqrt{2} } [/tex]
=a+b×
[tex] \sqrt{2} [/tex]
, find the values of a and b.
With Full Workings.
Please hurry!
Answer:
The answer is
[tex] a = \frac{11}{7} \\ b = \frac{6}{7} [/tex]
Step-by-step explanation:
[tex] \frac{3 + \sqrt{2} }{3 - \sqrt{2} } \times \frac{3 + \sqrt{2} }{3 + \sqrt{2} } \\ = \frac{9 + 3 \sqrt{2} + 3 \sqrt{2} + 2}{9 - 3 \sqrt{2} + 3 \sqrt{2} - 2 } \\ = \frac{11 + 6 \sqrt{2} }{7} \\ = \frac{11}{7} + \frac{6}{7} \sqrt{2} \ [/tex]
In comparison
Then
[tex]a = \frac{11}{7} \\ b = \frac{6}{7} [/tex]
What is the solution of the system 3x - 4y = 28 and x + 2y = 6
Answer:
x=8 and y=−1
Step-by-step explanation:
John sells candy bars for 2$ each. How much will he make if he sells 10 bars
Each Candy Bar is $2, so if he sells 10, you just need to multiply,
10 * $2 = 20
So He'll make $20, selling 10 bars.
If he sells 50 bars then just multiply,
50 * $2 = 100
So He'll make $100 selling 50 bars.
Answer:
he will make $20 dallors
10×$2=20
Which is greater than 4? (a) 5, Which is the smallest? (a) -1, Combine terms: 12a + 26b -4b – 16a. (a) 4a + 22b, Simplify: (4 – 5) – (13 – 18 + 2). (a) -1, What is |-26|? (a) -26, Multiply: (x – 4)(x + 5) (a) x2 + 5x - 20, Factor: 5x2 – 15x – 20. (a) 5(x-4)(x+1), Factor: 3y(x – 3) -2(x – 3).
What are 2 equivalent ratios for 3/38
Answer:
6/38, 9/38 are two
Multiply by 2 and 3 DONT multiply the denominators when multiplying.
When 500 pesos is compounded monthly at 4% interest rate fo 3 years, what is the frequency of conversion?
Answer:
The answer is "562.432"
Step-by-step explanation:
Given:
[tex]P= 500\\\\r= 4\%\\\\n= 3 \ years\\\\\text{frequency of conversion}\ (A)=?[/tex]
Using formula:
[tex]\to A=P(1+r)^n[/tex]
[tex]= 500(1+4\%)^3\\\\= 500(1+\frac{4}{100})^3\\\\= 500(1.04)^3\\\\=500 \times 1.124864\\\\= 562.432[/tex]
evaluate -7 5/8 + (-6 1/4)
Answer:
exact form:
-111/8
Decimal form:
-13.875
Mixed Number Form:
-13 7/8
Answer:
-5.875
Step-by-step explanation:
primero se resuelve el paréntesis
1/4 =0.25
y se multiplica por el -6
0.25x-6= -1.5
luego se resuelve el otro lado
primero dividimos
5/8=0.625
y se multiplica por -7
0.625x-7= -4.375
y para finalizar se suman los dos lados
-4.375 + -1.5
= -5.875
Plzzzzzzzzz somebody helppp me with this plzzz...!!!
Card sort rational numbers: order from least to greatest.
10, 15, 8, 23, 11, 5, 3, 22, 2, -1, -3, -7.7, -23, -22 3/8, -7, -8/3, -1/4, 9/8, -31/3, -6, -2.5, 0, -10, -5 5/6, -2, 1, -9, -4, -1.125, 1/4, 2.5, 8/3, 22 3/8, 31/3, 5 5/6, and 7.7
Answer:
3/8 < -31/3 < -7.7 < -7 < -6 < -3 < -8/3 < -2.5 < -1 < -1/4 < 0 < 9/8 < 2 < 3 < 5 < 8 < 10 < 11 < 15 < 22 < 23
Showing Work
Using the given inputs:
10 15 8 23 11 5 3 22 2 -1 -3 -7.7 -23 -22 3/8 -7 -8/3 -1/4 9/8 -31/3 -6 -2.5 0
Rewriting these inputs as decimals:
10 15 8 23 11 5 3 22 2 -1 -3 -7.7 -23 -22 3/8 -7 -8/3 -1/4 9/8 -31/3 -6 -2.5 0
10 15 8 23 11 5 3 22 2 -1 -3 -7.7 -23 -22.375 -7 -2.666667 -0.25 1.125 -10.333333 -6 -2.5 0
Sorting this table by decimal values in order from least to greatest:
-23 -22 3/8 -31/3 -7.7 -7 -6 -3 -8/3 -2.5 -1 -1/4 0 9/8 2 3 5 8 10 11 15 22 23
-23 < -22.375 < -10.333333 < -7.7 < -7 < -6 < -3 < -2.666667 < -2.5 < -1 < -0.25 < 0 < 1.125 < 2 < 3 < 5 < 8 < 10 < 11 < 15 < 22 < 23
Therefore, the sorted inputs in order from least to greatest is:
-23 < -22 3/8 < -31/3 < -7.7 < -7 < -6 < -3 < -8/3 < -2.5 < -1 < -1/4 < 0 < 9/8 < 2 < 3 < 5 < 8 < 10 < 11 < 15 < 22 < 23
A flat rate shipping box is in the shape of a rectangular prism you estimate the volume of the box 350 in.³ you measure the box and find that has a length of 10 inches a width of 9 inches and a height of 4.5 inches find the percent error round your answer to the nearest 10th of a percent
Answer:14.4
Step-by-step explanation:
Nolan uses 3 yard of string. He cuts the string into pieces that are 1/6 yard long. How many pieces does Nolan have?
Answer:
.5 yards or 18 in
Step-by-step explanation:
3 yards = 108 in
1/6 yards = 6 in
108in/6in= 18in
18in=.5yards
simplify:(a+b)²+(a-b)²
Answer:
a² + 2ab + b² + a² - 2ab + b²
2a² + 2b²
Step-by-step explanation:
Remember (a + b)² = a² + 2ab + b²
and (a - b)² = a² - 2ab + b²
PLZ PLZ PLZ ANSWER THIS!!!!
Answer:
a.
Step-by-step explanation:
girls 60/50
boys 40/50
40/50 is 10
Anybody good in geometry and know how to do this? Free Brainliest and points .
Answer:
im guessing the answer would be C but im not sure
before hand sorry if you get it wrong
Step-by-step explanation:
Answer:
i think its b
Step-by-step explanation:
What is the distance between point A(-9, 15) and B(26, -2)?
A. 38.91
B. 52
C. 39
D. 30.59
Answer:
A 38.91
Step-by-step explanation:
distance formula = d= √((x2-x1)²+(y2-y1)²)
b=2x^2(x-5) divided by 10x solve b if x=10
Answer:
answer is 10
Step-by-step explanation:
2x^2(x-5) /10x
x=10
so,
=2*10^2 (10-5) / 10*10
=2*100(10-5) /100
=200*5 / 100
=1000/100
=10
An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
The value of b when x = 10 is 10.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
b = 2x² (x - 5) ÷ 10x
When x = 10 find b.
Now,
b = (2x² (x - 5))/ 10x
Substitute x = 10
b = 2 x 10² ( 10 - 5) / 10 x 10
b = 200 x 5 / 100
b = 10
Thus,
The value of b when x = 10 is 10.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ2
Graph the equations
Y=400+50x
Y=300+25x
1.) from the graph at what time will the they have the same height
I’ll give u brainlist pls help
Answer:
We conclude that, at 4 minutes, both will have the same height which is 200 feet.
Step-by-step explanation:
Given the system of equations
[tex]y=400+50x[/tex]
[tex]y=300+25x[/tex]
Important Tip:
The point of intersection of the two lines would give us the point at which both have the same height.Graphing the system of equations
The graph of the equation y = 400 + 50x
First, determine the y-intercept of the equation y = 400 + 50x by substituting x = 0
[tex]y = 400 + 50x[/tex]
[tex]y = 400 + 50(0)[/tex]
[tex]y = 400 + 0[/tex]
[tex]y = 400[/tex]
Thus, we determine that the ordered pair (0, 400) represents the y-intercept of the equation y = 400 + 50x.
Next, determine the x-intercept of the graph of the equation y = 400 + 50x by substituting y = 0
[tex]y = 400 + 50x[/tex]
[tex]0=400+50x[/tex]
switch sides
[tex]400+50x=0[/tex]
Subtract 400 from both sides
[tex]400+50x-400=0-400[/tex]
Simplify
[tex]50x=-400[/tex]
Divide both sides by 50
[tex]\frac{50x}{50}=\frac{-400}{50}[/tex]
Simplify
[tex]x=-8[/tex]
Thus, we determine that the ordered pair (-8, 0) represents the x-intercept of the equation y = 400 + 50x.
Important Tip:
The point at which the graph crosses the y-axis is called the y-intercept. The point at which the graph crosses the x-axis is called the x-intercept.The red graph on the diagram represents the equation y = 400 + 50x having the y-intercept (0, 400) and x-intercept (-8, 0)
Please check the attached diagram.
The graph of the equation y = 300 + 25x
Now, determine the y-intercept of the equation y = 300 + 25x by substituting x = 0
[tex]y = 300 + 25x[/tex]
[tex]y = 300 + 25(0)[/tex]
[tex]y = 300 + 0[/tex]
[tex]y = 300[/tex]
Thus, we determine that the ordered pair (0, 300) represents the y-intercept of the equation y = 300 + 25x.
Next, determine the x-intercept of the graph of the equation y = 300 + 25x by substituting y = 0
[tex]y=300+25x[/tex]
[tex]0 = 300 + 25x[/tex]
switch sides
[tex]300+25x=0[/tex]
Subtract 300 from both sides
[tex]300+25x-300=0-300[/tex]
Simplify
[tex]25x=-300[/tex]
Divide both sides by 25
[tex]\frac{25x}{25}=\frac{-300}{25}[/tex]
Simplify
[tex]x=-12[/tex]
Thus, we determine that the ordered pair (-12, 0) represents the x-intercept of the equation y = 300 + 25x.
The blue graph on the diagram represents the equation y = 300 + 25x having the y-intercept (0, 300) and x-intercept (-12, 0)
Please check the attached diagram.
Analyze the POINT OF INTERSECTION:
As we already know that the point of intersection of the two lines would give us the point at which both have the same height.
The diagram indicates that:
at x = -4, the value of y = 200.
It is the point where both lines meet.
Thus, the point of intersection of the two lines is:
(x, y) = (-4, 200)
Conclusion:
As x represents the time in minutes and y represents the height in feet.
Thus, we conclude that at x = 4 minutes, both will have the same height i.e. y = 200 feet
Therefore, we conclude that, at 4 minutes, both will have the same height which is 200 feet.
