Answer:
If we define S as the number Sprinkle's umbrellas, and H as the Hurricane's umbrellas, the profit P can be expressed as:
[tex]P=3S+5H[/tex]
The restriction for cloth can be written as:
[tex]S+2H\leq500[/tex]
The restriction for metal can be written as:
[tex]2S+3H\leq600[/tex]
The restriction for wood can be written as:
[tex]4S+7H\leq800[/tex]
The condition for S and H to be positive is:
[tex]S, H \geq0[/tex]
Step-by-step explanation:
We have an objective function that, in this case, we want ot maximize.
This function is the Profit (P).
If we define S as the number Sprinkle's umbrellas, and H as the Hurricane's umbrellas, the profit can be expressed as:
[tex]P=3S+5H[/tex]
We have 3 restrictions, plus the condition that both S and H are positive.
The restriction for cloth can be written as:
[tex]S+2H\leq500[/tex]
The restriction for metal can be written as:
[tex]2S+3H\leq600[/tex]
The restriction for wood can be written as:
[tex]4S+7H\leq800[/tex]
The condition for S and H to be positive is:
[tex]S, H \geq0[/tex]
The number of visitors to a town increases by 2.5% each year. If the first year the town recorded visitors, there were 575,
which function represents the total number of visitors in terms of the years since they were first counted?
Answer:
575(1+2.5)^x
Step-by-step explanation:
X represents the number of years since they were first counted.
A sales man earns 6% commission on all the merchandise that he sells last month he sold $7000 worth of merchandise how much commission and daughters did he earn last month
Answer:
$420
Step-by-step explanation:
You just say commission = 6% of $7000
commission = (6/100) * 7000
commission = 0.06 * 7000 = $420
Answer:
$420
Step-by-step explanation:
6/100 x 7000 = 420
Al stop app weep woop so eery ya wet
What’s the correct answer for this?
Answer:
B = 15 units ²
Step-by-step explanation:
In the attached file
Colin invests £3900 into his bank account.
He receives 4% per year compound interest.
How much will Colin have after 2 years?
Give your answer to the nearest penny where appropriate.
Answer:
Colin will have 421824 pennies after 2 years
Step-by-step explanation:
Given:
Amount invested in bank by Colin (P) = £3900
Rate of interest (r) = 4%
Time period (n) = 2 years
To find: Amount after 2 years (A)
Solution:
Formula for amount (A) is [tex]A=P\left ( 1+\frac{r}{100} \right )^n[/tex]
[tex]A=3900\left ( 1+\frac{4}{100} \right )^2\\=3900\left ( 1+\frac{1}{25} \right )^2\\=3900\times \frac{26}{25}\times \frac{26}{25}\\=4218.24[/tex]
As 1 pound = 100 pennies,
4218.24 pounds = 4218.24 × 100 = 421824 pennies
So,
Colin will have 421824 pennies after 2 years.
A circle has a circumference of 452.16. What is the radius of the circle
Formula: r = C/2π
Solve with the given values.
r = 452.16/2(3.14)
r = 452.16/6.28
r = 72
Therefore, the radius is approximately 72 units.
Best of Luck!
Given
Principal 1500
Intrest 6%
Time 240 days
Partial payments for 100th day 7,000
For 180th day 4,000
A. Use the u.s rule to solve for total intrest cost
B. Use the u.s rule to solve the balance after payments for the 100th and 180th
C use the u.s rules to solve final payment
WILL GIVE BRAINLIEST ANSWER TO WHOEVER ANSWERS FIRST AND CORRECT PLEASE EXPLAIN WHY YOU ARE CORRECT
Answer:
AB is mid-segment of this trapezoid, then we have:
2 x AB = DG + EF
=> 2 x 12 = 5x - 4 + 8x + 2
=> 24 = 13x - 2
=>13x = 26
=> x = 2
=> Option A is correct
Hope this helps!
:)
The graph shows equivalent ratios. Khalid plots a point to show a fourth equivalent ratio. If the x-value of Khalid’s point is 35, what is the y-value? 20 25 28 35
Answer:
25
Step-by-step explanation:
Answer:
25
Step-by-step explanation:
A study conducted by Harvard Business School recorded the amount of time CEOs devoted to various activities during the workweek. Meetings were the single largest activity averaging 18 hours per week. Assume that the standard deviation for the time spent in meetings is 5.2 hours. To confirm these results, a random sample of 35 CEOs was selected This sample averaged 16.8 hours per week in meetings. Which of the following statements is correct? A) The interval that contains 95% of the sample means is 16.3 and 19.7 hours. Because the sample mean is between these two values, we have support for the results of the CEO study by the Harvard Business School. B) The interval that contains 95% of the sample means is 17.1 and 18.9 hours. Because the sample mean is not between these two values, we do not have support for the results of the CEO study by the Harvard Business School C) The interval that contains 95% of the sample means is 15.7 and 20.3 hours. Because the sample mean is between these two values, we have support for the results of the CEO study by the Harvard Business School D) The interval that contains 95% of the sample means is 15.7 and 20.3 hours. Because the sample mean is between these two values, we do not have support for the results of the CEO study by the Harvard Business School
Answer:
The correct option is A
Step-by-step explanation:
From the question we are told that
The average number of meetings hours per week is [tex]\mu= 18 \ hours[/tex]
The standard deviation is [tex]\sigma = 5.2 \ hours[/tex]
The sample size is n= 35
The sample average per week is [tex]p = 16.8 \ hours[/tex]
From each solution statement we can deduce that the confidence level is
[tex]t = 95[/tex]%
Thus the significance level is [tex]\alpha = 0.05[/tex]= 5%
The z value for the significance level is gotten as 1.96 from the z-table
The confidence level interval for the sample mean is mathematically evaluated as
[tex]\= x = \mu \pm (1.96 * \frac{\sigma }{\sqrt{n} } )[/tex]
Sustituting values
[tex]\= x = 18 \pm (1.96 * \frac{5.2 }{\sqrt{35} } )[/tex]
[tex]\= x = 18 \pm1.7[/tex]
=> [tex]18 - 1.7 < \= x < 18 +1.7[/tex]
[tex]16.3 < \= x < 19.7[/tex]
Which set of numbers is arranged in increasing order?
Answer:
Hey mate, I think you forgot to attach photo of sets. Check it.
Wesson Company sold 10,000 units of its only product in the first half of the year. If sales increase by 12% in the second half of the year, which cost will increase?
Answer:
Direct materials
Step-by-step explanation:
In this case we must bear in mind that as more products are sold, more material is needed to manufacture those additional final products
.
Therefore, in this case the cost would be related mainly to the materials, mainly the direct materials, since they are essential in the production of the product.
54,36,24 whats the next term in the geometric sequence
Answer:
16
Step-by-step explanation:
The common ratio is 36/54 = 2/3.
So the next term is 2/3 (24) = 16.
Answer:
16
Step-by-step explanation:
sorry no step by step explanation because I was in a rush anyway I did the quiz and here u go anyway have a great day I hope this helps :D
ABCD is a quadrilateral with vertices at (-2,3), (-1,7), (3,9), and (2,5). Is it a rectangle
Answer:
No
Step-by-step explanation:
It is a parallelogram but it does not contain at least 2 right angles.
Which statement correctly compares the spreads of the distributions?
Answer:
b. the ranges of penguin heights are the same.
Step-by-step explanation:
Hello!
Statements:
Which statement correctly compares the spreads of the distributions?
a. the mode of penguin heights at county side zoo is greater than the mode at city view zoo.
b. the ranges of penguin heights are the same.
c. the range of penguin heights is greater at city view zoo than at county side zoo.
d. the range of penguin heights is greater at county side zoo than at city view zoo.
The mode and mean are measurements of central tendency, these indicate the position of a data set but don't show any information concerning the distribution of said data.
The range on the other had is a measurement of variance, it shows the difference between the maximum and minimum values of the data set and indicates its total dispersion.
City view Zoo R= 44-37= 7 cm
County side Zoo: R= 45-38= 7 cm
Both ranges are the same.
I hope this helps!
Paul had 65 marbles. He gave 26 marbles to his sister and 19 to his brother. How many marbles did Paul have left
A)
12
B)
15
C)
18
D)
20
Answer:
D) 20
Step-by-step explanation:
26+19=45
65-45=20
Answer:
D. 20 would be your answer.
Step-by-step explanation:
[tex]65-26=39[/tex]
[tex]39-19= 20[/tex]
Paul had [tex]20[/tex] marbles left.
:)
please help with this
Answer:
x^2 + 10x +21
Step-by-step explanation:
Your multiplying the Squares together and then adding them
Blue Square : x*x= x^2
Pink Square : x*7= 7x
Green Square: x*3= 3x
Orange Square: 3*7= 21
Now we add all the squares together to get the total area.
x^2+7x+3x+21
x^2+ 10x +21
ASAP! GIVING BRAINLIEST! Please read the question THEN answer correctly! No guessing. Show your work or give an explaination.
Answer:
The Answer is B
Step-by-step explanation:
Why, Because it is saying graph the equation by a number of units so it will most likely be going down. Hope it helps.
Twelve and sixty-eighty thousandths
Answer:
12,60800000
hope it is not help full
Answer:
12 80000 I hope this helps buddy
Step-by-step explanation:
good luck
Solve the equation by completing the square. x2 + 20x + 82 = 7
Answer:
{-15, -5}
Step-by-step explanation:
The constant on the left needs to be the square of half the x-coefficient:
(20/2)^2 = 100
To get it to that value, we can add 18 to both sides of the equation:
x^2 +20x +100 = 25 . . . add 18 to both sides of the equation
(x +10)^2 = 25 . . . . . . . . write the left side as a square
x +10 = ±√25 = ±5 . . . . . take the square root
x = -10 ±5 = {-15, -5}
The solutions are x = -15 and x = -5.
_____
The attached graph shows the solutions to ...
x^2 +20x +82 -7 = 0 . . . . . the result of subtracting 7 from both sides
Answer:
sqdancefan
Genius
40.3K answers
503.3M people helped
Answer:
{-15, -5}
Step-by-step explanation:
The constant on the left needs to be the square of half the x-coefficient:
(20/2)^2 = 100
To get it to that value, we can add 18 to both sides of the equation:
x^2 +20x +100 = 25 . . . add 18 to both sides of the equation
Step-by-step explanation:
Name
Date
SHARE THE TREASURE 3
Captain Salamander and his crew have found 24 bars of gold.
The captain decides that he is going to share all the treasure out.
He puts 1/3 of the bars to aside for himself.
He gives 1/4
of the bars to his friend Bill
He shares out 7 bars with the rest of his crew.
How many bars does he have left?
Z
/ 17
.
Answer:
3 bars
Step-by-step explanation:
Total no. of gold bars = 24.
Fraction of bar captain allocated to himself = 1/3 of the bars
no. of bars he allocated to himself = 1/3 of 24 = 1/3 * 24 = 8
Fraction of bar captain allocated to his friend bill = 1/4 of the bars
no. of bars he allocated to his friend bill = 1/4 of 24 = 1/4 * 24 = 6
No . of bars captain allocated to rest of crew = 7
Total no of bars which are allocated altogether =
no. of bars he allocated to himself +no. of bars he allocated to his friend bill +No . of bars captain allocated to rest of crew
substituting the value of above summation variable as calculated above we have
Total no of bars which are allocated altogether = 8+6+7 = 21
No. of bars left = total no. of bars - Total no of bars which are allocated altogether = 24 - 21 = 3
Thus 3 gold bars are left.
log(0.5) 256 = x
find value of x
Answer:
[tex]=-8[/tex]
Step-by-step explanation:
[tex]\log _{0.5}\left(256\right)=x\\Switch\:sides\\x=\log _{0.5}\left(256\right)\\\mathrm{Rewrite\:}256\mathrm{\:in\:power-base\:form:}\quad 256=2^8\\x=\log _{0.5}\left(2^8\right)\\\mathrm{Apply\:log\:rule}:\quad \log _a\left(x^b\right)=b\cdot \log _a\left(x\right)\\\log _{0.5}\left(2^8\right)=8\log _{0.5}\left(2\right)\\x=8\log _{0.5}\left(2\right)\\0.5=2^{-1}\\x=8\log _{2^{-1}}\left(2\right)\\[/tex]
[tex]\mathrm{Apply\:log\:rule\:}\log _{a^b}\left(x\right)=\frac{1}{b}\log _a\left(x\right),\:\quad \mathrm{\:assuming\:}a\:\ge \:0\\x=8\cdot \frac{1}{-1}\log _2\left(2\right)\\\mathrm{Apply\:log\:rule}:\quad \log _a\left(a\right)=1\\x=8\cdot \frac{1}{-1}\\\mathrm{Simplify}\\8\cdot \frac{1}{-1}\\\frac{1}{-1}=-1\\\frac{1}{-1}\\\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{-b}=-\frac{a}{b}\\=-\frac{1}{1}\\\mathrm{Apply\:rule}\:\frac{a}{1}=a\\=-1\\=8\left(-1\right)\\[/tex]
[tex]\mathrm{Remove\:parentheses}:\quad \left(-a\right)=-a\\=-8\cdot \:1\\\mathrm{Multiply\:the\:numbers:}\:8\cdot \:1=8\\=-8\\[/tex]
The value of x for the expression is, - 8.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
⇒ [tex]log_{0.5} ( 256) = x[/tex]
Now, We can solve the expression by the logarithmic for the value of x as;
⇒ [tex]log_{0.5} ( 256) = x[/tex]
⇒ [tex]x = log_{0.5} ( 256)[/tex]
⇒ [tex]x = log_{0.5} ( 2^8)[/tex]
Apply log rule,
⇒ [tex]x =8 log_{0.5} ( 2)[/tex]
⇒ [tex]x = 8 log_{2^{-1} } ( 2)[/tex]
⇒ [tex]x = 8 *\frac{1}{-1} log_{2 } ( 2)[/tex]
⇒ [tex]x = - 8 log_{2 } ( 2)[/tex]
We know that; [tex]log_{2} 2 = 1\\[/tex]
Hence, We get;
⇒ x = - 8 × 1
⇒ x = - 8
Learn more about the mathematical expression visit:
brainly.com/question/1859113
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You're choosing between two car rental companies. Company A charges an initial fee of $15 with $.25 per mile, while Company B only charges $.50 per mile. How many miles will it take for both companies to have the same service price? What's this price amount? Use the following systems of linear equations to solve by graphing. Company A: y = 0.25x + 15 Company B: y = 0.50x
Gale makes two gallons of a punch solution that contains 25% orange juice. How many gallons of orange juice should gayle add to make the solution 40% orange juice
Answer:
0.5 gallons
Step-by-step explanation:
Let x represent the amount of orange juice (in gallons) Gayle must add to the mix. Then the total amount of orange in the mix is ...
0.25(2) +x = 0.40(2+x)
0.50 +x = 0.80 +0.40x . . . . eliminate parentheses
0.60x = 0.30 . . . . . . . . . . . . subtract 0.50+0.40x
x = 0.5 . . . . . . . . . . . . . . . . . divide by 0.60
Gayle should add 0.5 gallons of orange juice to make a 40% solution.
Solve plzzzz As attached
Answer:
Step-by-step explanation:
Basically, we're solving for a.
w = 3(2a + b) - 4
w = 6a + 3b - 4
-6a + w = 3b - 4
-6a = -w + 3b - 4
a = (w - 3b + 4)/6
Hope this helps!
peter surveyed a random sample of adults and a random sample of teenagers about the number of hours that they exercise in a typical week. What comparative inference can Peter make from the data sets?
Answer:
Step-by-step explanation:
Hello!
Peter is interested in comparing the number of hours adults and teenagers exercise per week, for this selected one random group of adults and a random group of teenagers and surveyed them on their weekly exercise times.
To compare the weekly exercise time of both populations, the best is to use a measure central tendency, so you can compare their positions and see if they are significantly similar or not.
The most common parameters to use for comparing two populations are its population means. So the analysis to do is a two independent sample test.
I hope this helps!
Solve: -(1/4)m + 5 = 16
Answer:
m=-44
Explanation: distribute the negative and add -1/4 to m and then take the 5 away from 16 and then multiply both sides
Answer:
M = - 44
Step-by-step explanation:
You will start by subtracting 5 on both sides of the equation.
- (1/4)m + 5 =16
-5 -5
Simplify
- 1/4 m =11
Multiple both sides by - 4
(-1/4m)(-4)= 11 (- 4)
The final result is m equals negitive 4.
M = -44
Joe went to the bank and withdrew $358 from his checkings account and his balance is now at -$96. He later deposited ¾ of his $800 check and put the rest in his savings account. How much money does he have in his checking account?
Answer:
$504
Step-by-step explanation:
In this case you're solving for his checking account. In the beginning due to him withdrawing $358 he was left with -$96, assuming that he grabbed more than he could take. But later, he deposited 3/4 of $800 into his checking account.
So you need to find what 3/4 of 800 is first to see how much money he put into his checking account
3/4x800/1=600
But thats not the answer since thats only how much he put into his checking account, not how much he has.
So according to the question he had -96 left in the checking account. Therefore, you have to add the 600 in.
600+-96=504
In case you are wondering why there was a lower number when adding, it was a negative number which causes you to start from -96, but go more right into the number line 600 times.
If you have any questions please ask and I hope this helped! :)
Susan works as a hostess where she makes $8.75 per hour. She also babysits and earns $10.00 per hour. Last week she made $165.00. If she worked 6hour more as a hostess than she did babysitting, how many hours did she babysit last week?
Answer:
6 hours as a babysitter and 12 hours as a hostess
Area of DEF = 6 sq ft
Find the area of ABC. Please help I need BOTH green and grey boxes please .
Answer:
54 ft^2
(54 in green box; 2 in grey box)
Step-by-step explanation:
We have 2 similar triangles, ABC and DEF.
The area of triangle DEF is given as 6 sq ft.
Side BC of triangle ABC measures 12 ft.
The corresponding side to BC in triangle DEF is EF. It measures 4 ft.
That gives us a scale factor from triangle DEF to triangle ABC.
To find the scale factor between two similar polygons, divide the length of a side of the second polygon by the length of the corresponding side of the first polygon.
scale factor = BC/EF = (12 ft)/(4 ft) = 3
The scale factor of side lengths is 3.
The ratio of the areas is the square of the scale factor.
ratio of areas = 3^2 = 9
Now multiply the area of the first triangle (DEF) by the ratio of areas to get the area of the second triangle (ABC).
area of triangle ABC = 9 * (area of triangle DEF)
area of triangle ABC = 9 * (6 sq ft)
area of triangle ABC = 54 sq ft
Answer: 54 ft^2
(54 in green box; 2 in grey box)
The Tip Top Tennis Balls manufacturing company makes and sells tennis balls. The revenue (in dollars) that the company receives in selling x cases (12 cans per case, three balls per can) of tennis balls in one week is given by The cost (in dollars) is given by All of the following questions refer to a one-week period, and only full cases of balls are sold. Write an equation for the profit P the company makes in producing and selling x cases. (Remember the profit = revenue – cost.) How many tennis balls need to produced and sold for the profit to be greater than zero? Choose the correct answer.
Answer:
Check the explanation
Step-by-step explanation:
Kindly check the attached image below to see the step by step explanation to the question above.