Answer:
120 people
Step-by-step explanation:
Length of dance floor = 30 ft
Width of dance floor = 20 ft
Given that 2 people will occupy 5 ft² of space, the number of people that will crowd the floor of the dance floor is calculated as follows:
= Area of dance floor ÷ 5 ft²
= (30*20) ÷ 5
= 600 ÷ 5
= 120.
120 people will crowd the dance floor.
A company makes a profit of 35$ per video game. The company can produce at most 200 software programs and at most 300 video games per week. How many items of each kind should be produced per week in order to maximize the profit? Use linear programming to solve. Show all your work.
Answer:
Let x = software program
Let y = video game
x < 200 ; y < 300
x + y < 425
50x ; 35y
x = 200 ; y = 225
50(200) + 35(225) = 10,000 + 7,875 = 17,875
x = 125 ; y = 300
50(125) + 35(300) = 6,250 + 10,500 = 16,750
x = 175 ; y = 250
50(175) + 35(250) = 8,750 + 8,750 = 17,500
It is more profitable to maximize production of software program when working within the limits provided.
Step-by-step explanation:
(6 + √27) / 3 Sorry i wrote it wrong the first time.
Answer: [tex]2 + \sqrt{3}[/tex]
==============================================
Work Shown:
[tex]\frac{6 + \sqrt{27}}{3}\\\\\frac{6 + \sqrt{9*3}}{3}\\\\\frac{6 + \sqrt{9}*\sqrt{3}}{3}\\\\\frac{6 + 3\sqrt{3}}{3}\\\\\frac{3(2 + \sqrt{3})}{3}\\\\2 + \sqrt{3}\\\\[/tex]
The idea with simplifying the square root (steps 2 through 4) has us factoring 27 so that one factor is a perfect square. We want the largest perfect square factor possible.
That way when we use the rule sqrt(x*y) = sqrt(x)*sqrt(y), we pull out that perfect square to then use the rule sqrt(x^2) = x where x is nonnegative.
After simplifying the square root, we factor out the GCF and then cancel out the 3's.
Choose the expression that represents the prime factorization of 96.
3.24
6.8.2
3.25
3.2.2.2.2
Answer:
3.2.2.2.2...
Step-by-step explanation:
The prime factors of 96 are written as 2 x 2 x 2 x 2 x 2 x 3 or 3 x 25, where 2 and 3 are the prime numbers
Which of the numbers 8,9, or 10 is the solution to 70=8-x
Answer:
Step-by-step explanation:
Add x to both sides.
70 +x = 8
Subtract 70 from both sides.
x = 8 - 70
x = - 62
None of the answers fit.
My lawn is 17ft wide and 20ft long, each square foot of lawn gets 1350 new snowflakes per min how much snow in kilograms accumulates every hour average mass of snowflake is 1.70mg
Answer:
46.818 kg
Step-by-step explanation:
First, find the surface area of your yard. This is found by multiplying the length and width.
The equation for this is (l*w)=sa
So,
l=20ft
w=17ft
(20*17)= 340 square feet.
So, if each square foot gets 1350 new flakes per minute, you are going to find how much the entire yard gets in a minute by multiplying the surface area by 1350.
So,
(340*1350)= 459000 flakes for the entire yard in one minute.
Since there is 60 minutes in an hour, multiply 459,000 by 60.
459,000*60= 27,540,000 new flakes in the yard per hour.
Now, to find the weight in milligrams:
27,540,000*1.7= 46,818,000 mgs
Finally, because a kilogram is equal to one million milligrams (mg),
46,818,000/1,000,000= 46.818 kg
4.Calculate the average rate of change for the given graph from x = 0 to x = 3 and select the correct answer below.
PLEASE HELP
Answer:
I think it's x3-x=0 but is not you can use a math app and take a picture
Answer:
-2
Step-by-step explanation:
(6,0)-(0,3)
It goes don -6 and over 3
-6/3=-2
***ECONOMINCS*** Which statement best summarizes the role of households in the flow of
goods?
A. Households sell products created in product markets.
B. Households provide natural resources to businesses.
C. Households trade goods between product and resource markets.
D.Households act as consumers for goods made by businesses.
The final customers of a companies' products and services are the households. They generate demand in the market dependent on their preferences, and further discussion can be defined as follows:
As per the market demand, the businesses manufactured and provided items in the market and the nation's production line is determined by its families.Households consume the commodities supplied by the companies in a circular flow diagram.It could contribute land for the production of goods, or it may offer itself as the source of employment.It also provides capital, which would be a monetary type of investment that enables businesses to generate consumer products.Therefore, the final answer is "Choice D"
Learn more:
brainly.com/question/22097439
Answer:
D.Households act as consumers for goods made by businesses.
Step-by-step explanation:
ILL GIVE YOU BRAINLIST !!! SHOW WORK
Answer:
45
Step-by-step explanation:
5z^x
Substitute each number for the right letter
5(-3)^2
5(9)
45
WILL GIVE BRAINLIEST!!Deepak is a landscaper who charges $30 for each job he does plus an additional $15 for each hour he works. He only accepts jobs if he will earn at least $90 the job. He writes this inequality to determine x, the number of hours he must work during each job in order to accomplish this.
30 + 15 x greater-than-or-equal-to 90
Which best describes the restrictions on the jobs Deepak will accept?
He only accepts jobs that last 4 or more hours.
He only accepts jobs that last 5 or more hours.
He only accepts jobs that last 8 or more hours.
He only accepts jobs that last 9 or more hours.
Answer:
He only accepts jobs that last 4 hours or more.
Step-by-step explanation:The number of hours is x and so when you plug in 4 hours into the equation. 30+15 (4) it equals exactly 90
How do you do this problem?
Step-by-step explanation:
∫ t⁷ e^(-t⁴) dt
If x = -t⁴, then dx = -4t³ dt, and ¼ x dx = t⁷ dt.
∫ ¼ x eˣ dx
If u = ¼ x, then du = ¼ dx.
If dv = eˣ dx, then v = eˣ.
∫ u dv = uv − ∫ v du
= ¼ x eˣ − ∫ ¼ eˣ dx
= ¼ x eˣ − ¼ eˣ + C
= ¼ eˣ (x − 1) + C
Substitute back:
= ¼ e^(-t⁴) (-t⁴ − 1) + C
The procedure would be as demonstrated in the attachment(s). As you can see your solution will be,
[tex]\frac{1}{4}\left(-e^{-t^4}t^4-e^{-t^4}\right)+C[/tex]
What is the distance between the point in Maine and the point in Tennessee? Round to the nearest tenth.
Answer:
The distance between the point is 1806 unit
Step-by-step explanation:
Given that,
The distance between the point in Maine and the point in Tennessee.
Suppose, The points are (-801,670) and (990,900)
We need to calculate the distance between the point
Using formula of distance
[tex]d=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}[/tex]
Put the value into the formula
[tex]d=\sqrt{(990-(-801))^2+(900-670)^2}[/tex]
[tex]d=1806\ unit[/tex]
Hence, The distance between the point is 1806 unit.
Katy is deciding which charity to donate to. She is going to donate fifty dollars to each charity chosen, and she can donate to a women's shelter (abbreviated B), a charity for rescue animals (abbreviated R), and a children's foundation (C). The dots in the Venn diagram below show the combinations that she can donate to. Let X be the event of donating fifty dollars each to two charities for a total of one hundred dollars. Let Y be the event of donating to the charity for rescue animals. Move the dots on the Venn diagram to place the dots in the correct event, X, Y,or X AND Y. Note that you might not use all of the dots.
Answer:
Step-by-step explanation:
Find x if EC is a bisector
AC = 3x+6 and CD = 2x + 14
ay
E
236
CON=-8
x=20
On=-20
KID X=8
Description
Answer:
x = 8Step-by-step explanation:
If EC is a bisector of AC and CD, then AC is equal to CD.
Given AC = 3x+6 and CD = 2x + 14, since AC = CD then;
3x+6 = 2x+14
subtract 6 from both sides
3x+6-6 = 2x+14-6
3x = 2x+8
subtract 2x from both sides
3x-2x = 2x+8-2x
x = 8
Hence the value of x is 8
32 times 18 +52 = what plz help
Answer:
3640 and hi its meeeee i finally found you
Step-by-step explanation:
-1+2z-z^2 Terms: ? Coefficients: ? the constant term is: ?
Answer:
Terms: -1, 2z, -z²
Coefficients: 2, -1
Constant Term: -1
Step-by-step explanation:
Terms are a set of numbers. It can be accompanied by a variable or not.
Terms: -1, 2z, -z²
Coefficients are the numbers that are in front of a variable.
Coefficients: 2, -1
Constant term is just a number, with no variable attached to it.
Constant Term: -1
What is the slope of the line on the graph?
Answer: C
Step-by-step explanation:
To find the slope of the line, we need to use the formula [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]. Let's take any 2 points in the graph. (-2,-1) and (1,5)
[tex]m=\frac{5-(-1)}{1-(-2)}=\frac{6}{3}=2[/tex]
Now, we know that the slope is 2.
Answer:
2
Step-by-step explanation:
To get the slope, identify two points where the line cuts both the x and the y axes.
Then apply the formula for finding the slope;
Slope = (changer in y-coordinates) ÷ (change in x-coordinates)
And the answer is 2
can you help me , would this answer be 1 ?
Step-by-step explanation:
Y=90° as its a right angled triangle
If the probability of getting a particular result in a experiment is 75.3% what is the probability of not getting the result
Answer:
100%-75.3%
Step-by-step explanation:
The total probability of all outcomes is 100%.
If the probability of a particular result is 75.3% then all other possibilities (not the particular event) must equal 100% - 75.3%.
can someone do it :) Simplify 5(x - 6).
Answer:
5x - 30
Step-by-step explanation:
I used the distributive property and I think I got it.
Answer:
5 x minus -30
x is equal to -6
hope this helped you
please mark as the brainliest (ㆁωㆁ)
A random sample of 10 subjects have weights with a standard deviation of 9 8753 kg What is the variance of their weights? Be sure to include the appropriate units with the result.
Answer: The variance of their weights = 9,752,155,009 kg.
Step-by-step explanation:
The variance is the square of the standard deviation . it measures the spread between data values in a data set.So if standard deviation of 10 subjects = 98753 kg
Then, variance = [tex](9 8753 )^2\ kg=9,752,155,009\ kg[/tex]
Hence, the variance of their weights = 9,752,155,009 kg.
a line passes trough the point (1/2,2/3) and has a y intercept of 4. what is the slope of the line written as a fraction?
Answer:
I believe the Slope is (m) =
ΔY
ΔX
= 1/1 = 1. The answer is 1/1 instead of 1.
Step-by-step explanation:
6.4n-1.2+3n+8.2=19.22
What number would make the statement true
Answer:
Step-by-step explanation:
6.4n - 1.2 + 3n + 8.2 = 19.22
So we can separate the variable side on the left, and the whole numbers on the right.
6.4n + 3n = 19.22 - 8.2 + 1.2
which gives us,
9.4n = 12.22
n = 1.3
Alessandro wrote the quadratic equation -6=x2+4x-1 in standard form. What is the value of c in his new equation?
a.c=-6
b.c=-1
c.c=5
d.c=7
Answer is C.
6x-2=7x+9 find x plz help
Answer:
[tex]x=-11[/tex]
Step-by-step explanation:
[tex]6x-2=7x+9[/tex]
Add 2 to both sides:
[tex]6x-2+2=7x+9+2[/tex]
[tex]6x=7x+11[/tex]
Subtract 7x from both sides:
[tex]6x-7x=7x+11-7x[/tex]
[tex]-x=11[/tex]
Divide both sides by -1:
[tex]\frac{-x}{-1}=\frac{11}{-1}[/tex]
[tex]x=-11[/tex]
Answer:
X= -11
Step-by-step explanation:
Simplifying
6x + -2 = 7x + 9
Reorder the terms:
-2 + 6x = 7x + 9
Reorder the terms:
-2 + 6x = 9 + 7x
Solving
-2 + 6x = 9 + 7x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-7x' to each side of the equation.
-2 + 6x + -7x = 9 + 7x + -7x
Combine like terms: 6x + -7x = -1x
-2 + -1x = 9 + 7x + -7x
Combine like terms: 7x + -7x = 0
-2 + -1x = 9 + 0
-2 + -1x = 9
Add '2' to each side of the equation.
-2 + 2 + -1x = 9 + 2
Combine like terms: -2 + 2 = 0
0 + -1x = 9 + 2
-1x = 9 + 2
Combine like terms: 9 + 2 = 11
-1x = 11
Divide each side by '-1'.
x = -11
Simplifying
x = -11
Question 14 Multiple Choice Worth 1 points)
(02.05 LC)
+
The amount $4.50 is 6% of what price?
O $10.50
O $13.30
O $27.00
O $75.00
Answer:
.27
Step-by-step explanation:
4.5*6/100
=.27
Answer:
$27.00
I stayed up all night studying for this test and I got the question right haha
Solve each expression using the correct order of operations,
7- 5 + 3 x 10
Answer:
28 is your answer
Step-by-step explanation:
you start with multiplication and continue with addition and then go to subtraction
Answer:
32
Step-by-step explanation:
3×10 comes first because BIDMAS : brackets () indeces divide ÷ multiply× addition + subtraction -
So 30
7-5+30 = 32
A farmer rents pastureland for 8$ per acre plus a monthly fee of $200. Write an expression that can be used to find the total monthly cost. Then find the cost of renting 25 acres
Answer:
A. [tex] 8n + 200 [/tex], $400.
Step-by-step explanation:
Monthly rent per acre for pasture land = $8
Additional monthly fee = $200
Let n represent the number of acres.
Therefore, expression for the total monthly cost would be:
[tex] 8n + 200 [/tex].
If the farmer wants to rent 25 acres of pasture land, the expression, [tex] 8n + 200 [/tex], can be used in calculating the total cost by simply plugging in the value of n, which would be 25 in this case.
Total monthly cost for 25 acres = [tex] 8(25) + 200 [/tex].
[tex] = 200 + 200 [/tex]
[tex] 400 [/tex].
Total monthly cost = $400
Find the inverse of s.
= {(-2, -7), (0, -3), (2, 1), (4, 5), (5, 7)}
Answer:
( − 7 , − 2 ) , ( − 3 , 0 ) , ( 1, 2 ) , ( 5 , 4 ) , ( 7 , 5 )
From: iOE Your friend
:D :) *Be awesome.Be You*
7x + 3y = 9 (for x)
solve it for x
Answer:
x = 9/7 - (3 y)/7
Step-by-step explanation:
Solve for x:
3 y + 7 x = 9
Hint: | Isolate terms with x to the left-side.
Subtract 3 y from both sides:
7 x = 9 - 3 y
Hint: | Solve for x.
Divide both sides by 7:
Answer: x = 9/7 - (3 y)/7
Answer:
x = ( 9 - 3y ) / 7
Step-by-step explanation:
To solve this equation for x, we will simply isolate the x.
7x + 3y = 9
7x = 9 - 3y
x = ( 9 - 3y ) / 7
Cheers.
Some plz solve both for meeeeee <33
10. 4w^2 + 7w^2 + 7z^2
Combine each term with the same variable.
11w^2 + 7z^2
This is in simplest form.
11. 3x + 4(5x + 2)
Multiply each term inside the parentheses by 4.
3x + 20x + 8
Combine all the terms with the same variable.
23x + 8
This is in simplest form.