Answer:
For the rectangular area, we will have a length L, and a width W, such that the two sides with measure L and one with measure W will be made with the material of $4 per ft, and the other side with measure W will be made with the material that costs $13 per ft.
Then the total cost will be:
C = (L + L + W)*$4 + W*$13.
And we know that the area is equal to 240 ft^2, then:
240ft^2 = L*W
To solve this, the first step is to isolate one of the variables in the second equation. I will isolate L:
L = (240ft^2)/W
Now we can replace this in the first equation to get:
C = ( 2*(240ft^2)/W + W)*$4 + W*$13.
C = $4*480ft^2/W + W*$17
Now we want to find the minimum of this function, then we need to look at the zero of the first derivative of C:
C' = - ($4*480 ft^2)/W + W*$17 = 0
- ($4*480 ft^2) + $17*W^2 = 0
Let's solve this for W:
$17*W^2 = ($4*480 ft^2)
W^2 = ($4*480 ft^2)/$17 = 112.94ft^2
W = √(112.94 ft^2) = 10.63 ft.
Then the width must be 10.64 ft, and the length can be obtained with the equation:
L*W = 240 ft^2
L*10.64 ft = 240 ft^2
L = (240 ft^2)/10.64ft = 22.56 ft
The width is 10.64 ft, and the length is 22.56 ft
What is 55 percent of 880?
Answer:
55% of 880= 484
Step-by-step explanation:
Please help don’t understand
Answer:
first you choose one of the varibles to solve for so im going to start with s you would add them up and subtract them that way there on the other side of the = sighs so you equation would be 8+2d+3=-7s then you add the 8 and the 3 and you would get 11+2d=-7s i dont know what you do after this i think this is the answer.
Answer:
the other guy is right trust him
please help me I will make you brilliance
Answer:
Option B
Step-by-step explanation:
In this question , we just need to make "F" as the subject of the equation.
So, lets solve the equation.
[tex]R = \frac{F}{N + F}[/tex]
→ Multiplying (N + F) on both the sides ,
[tex]=> R \times (N + F) = \frac{F}{(N + F)} \times (N + F)[/tex]
[tex]=> RN + RF = F[/tex]
→ Substracting both the sides with RF ,
[tex]=> RN + RF - RF = F - RF[/tex]
[tex]=> RN = F - RF[/tex]
→ Taking F common from R.H.S ,
[tex]=> RN = F(1 - R)[/tex]
→ Dividing both the sides by (1 - R) ,
[tex]=> \frac{RN}{1 - R} = \frac{F(1 - R)}{(1 - R)}[/tex]
[tex]=> \frac{RN}{1 - R} = F[/tex]
∴ Hence , [tex]F = \frac{RN}{1 - R}[/tex]
5 cards are drawn at random from a standard deck. Find the probability that all cards are face cards.
Answer:
99 / 324,870 or 3%
Step-by-step explanation:
there are 12 face cards out of a total of 52 cards
probability of 5 face cards = [tex]\frac{12}{52}[/tex] · [tex]\frac{11}{51}[/tex] · [tex]\frac{10}{50}[/tex] · [tex]\frac{9}{49}[/tex] · [tex]\frac{8}{48}[/tex]
The probability that all cards are face cards at the time when 5 cards are drawn at random from a standard deck should be [tex]99 / 324,870[/tex]
Calculation of the probability:Since 5 cards are drawn at random from a standard deck
Also, we know that
there are 12 face cards out of a total of 52 cards
So here the probability be like
[tex]= 12/52 \times 11/51 \times 10/50 \times 9/49 \times 8/48[/tex]
= [tex]99 / 324,870[/tex]
Hence, The probability that all cards are face cards at the time when 5 cards are drawn at random from a standard deck should be [tex]99 / 324,870[/tex]
Learn more about probability here: https://brainly.com/question/21102470
Lia swam in a 0.61 in the pool for 2 weeks everyday how many meters did she swim
Answer:
8.54 meters
Step-by-step explanation:
0.61x14=8.54
is -4 greater than or less than -1?
Combine like terms to determine which expression is equivalent to 12+5t−4+15t+1
Answer:#
9+20t
Step-by-step explanation:
I’ll give Brainliest for the answer please
Answer:
1176 squared units
Step-by-step explanation:
You need to use the formula for finding area (Length x Width) to find the surface area of each face. For example, 7 times 21 is 147, so that face by itself is 147 squared units
PLEASE HELP ME GUYS!!!
on Monday 76 students played soccer on Tuesday 62 students play soccer on Wednesday 68 students play soccer how many more students played soccer on Tuesday and Wednesday combine then on Monday.
Answer:
The correct answer is 54
Step-by-step explanation:
Add Tuesday and Wednesday together
62+68=130
Subtract the sum of both days by Monday
130-76=54
what is the greatest conman factor of -32x3+41x4y
Answer:
x^3
Step-by-step explanation:
Tom earned a total of $88 last month. He earned $45 walking his neighbor's dog and b dollars for babysitting his younger brother. Which equation and solution represents the total amount Tom earned
HELP PLS ASAP PLS
Answer: 43 is the answer.
Step-by-step explanation:
43 because 45 + 43 is the only number that could equal 88 and the total that tom earned.
Answer:
(see below)
Step-by-step explanation:
First, assess your info:
- total of $88
- $45 for dog walking
- $b for babysitting
Now, use that info to write an equation to combine all of this info:
$45 + $b = $88
If you were to find b, however, you'll need to simplify:
$45 + $b = $88
$b = $88 - $45
b = $43
Please help this might be easy for some people but I’m just not smart
Answer: D:(-1,4)
R:(-4,4)
Step-by-step explanation:
I hope that correct
On a given day, the proportion of workers from Company B who purchase a coffee from the company cafeteria is 0.62 and the proportion of workers from Company C who purchase a coffee from the company cafeteria is 0.71. A random sample of40 workers was selected from Company B and another random sample of 40 workers was selected from Company C. The proportion of workers from Company B who purchased coffee was
Answer:
the proportion of workers from company B who purchsed coffee was pˆC=0.75
Step-by-step explanation:
Answer: pˆC=0.75
Step-by-step explanation:
Consider the polygon in the xy-coordinate plane with vertices at points (-2,0), (3,0), (4,-3), and (2,-6). What is the most specific name for this polygon?
A. Kite
B. Parallelogram
C. Rectangle
D. Square
Answer: rectangle
Step-by-step explanation: Because I saw another Brainly answer saying it was rectangle
56+7= _ + _ =
using number bonds by making a 10 or adding to the ones
Answer:
60+3
Step-by-step explanation:
2^3 - (12 divide 6) + 8
isabella collected a bunch of dimes and quarters for her school fundraiser she collected a total of 211 coins and a total of 37.30 how many dimes and how many quarters did she collect
Answer:
103 dimes and 108 quarters
Step-by-step explanation:
Given
[tex]Value = \$37.30[/tex]
[tex]Amount = 211[/tex]
Required
Determine the number of each coin collected
Represent dimes with D and quarters with Q.
[tex]1\ D= \$0.10[/tex]
[tex]1\ Q= \$0.25[/tex]
So:
[tex]0.10D + 0.25Q = 37.30[/tex] --- Value
[tex]D + Q = 211[/tex] --- Amount
Make D the subject in [tex]D + Q = 211[/tex]
[tex]D = 211 - Q[/tex]
Substitute 211 - Q for D in [tex]0.10D + 0.25Q = 37.30[/tex]
[tex]0.10(211 - Q) + 0.25Q = 37.30[/tex]
Open brackets
[tex]21.1 - 0.10Q + 0.25Q = 37.30[/tex]
Collect Like Terms
[tex]- 0.10Q + 0.25Q = 37.30 - 21.1[/tex]
[tex]0.15Q = 16.2[/tex]
Make Q the subject
[tex]Q = 16.2/0.15[/tex]
[tex]Q = 108[/tex]
Substitute 108 for Q in [tex]D = 211 - Q[/tex]
[tex]D = 211 - 108[/tex]
[tex]D = 103[/tex]
Solve the proportion for k: 5/3 = ( k + 7 )/12
Answer: k = 13
5/3 = (k + 7)/12
⇔ 12.5/3 = k + 7
⇔ 20 = k + 7
⇔ k = 20 - 7
⇔ k = 13
Step-by-step explanation:
Answer:
k = 13
Step-by-step explanation:
To get k by itself, multiply both sides by 12 (left with 20 = k + 7). Next, subtract 7 from both sides (13 = k).
In this question, you have a large circle A with a radius of 6.5cm and a small circle B with radius 2.3cm. Calculate the area of the two circles. Once you have calculated the areas, take the area of circle A and subtract the area of Circle B and that will give you the area of the purple shaded region.
Answer:
116.113cm2 is the purple reigon area
Step-by-step explanation:
using pi r squared
1st circle area: 16.619
2nd circle area: 132.7322
1st - 2nd = 116.113 cm2
solve for x -2x + 2 = x -13
Answer:
x = 5
Step-by-step explanation:
Add 2x to both sides: 2 = 3x - 13
Add 13 to each side: 15 = 3x
Divide both sides by 3: 5 = x
Isolate with the variable by dividing each side by factors that don't contain the variable. So, x= 15
In order to solve the system of equations
{x-3y=2
{2x+y=11
Using the elimination method, which of the following steps could be used?
Answer:
Multiply the second equation by 3 and then add result to the first equation
Step-by-step explanation:
Given the equations :
x-3y=2
{2x+y=11
To solve by elimination :
Multiply one of either equations by a number to give a result such that adding the result to the other equation in the system leads to the removal of one of the unknown values.
By Multiplying the second equation by 3 and then add result to the first equation
Second equation becomes :
6x + 3y = 33
Adding the result to the first equation :
x - 3y = 2
6x + 3y = 33
___________
7x = 35
_________
Here, the y variable has been eliminated
plot 9/10 and 1 2/5 on the number line below
the diameter of a gigantic Ferris wheel is 185 meters. if a man rides a ferris wheel for one revolution find how far he travels give the exact answer and the approximation using 3.14 for pi
Answer:
Step-by-step explanation:
You need to find out the circumference of the Ferris wheel
C=d*3.14=185*3.14=580.90 m
PLEASE HELP ME I CANT FIND THIS ANSWER ANYWHEREEEE
Answer: The first three
Step-by-step explanation:
I need help, it’s geometry:
Answer: The area is 5x + 20
Step-by-step explanation:
Add all the numbers up.
7 + 4x - 8 = 3
13 + (x + 8) = (x + 21)
Therefore, your answer is 5x + 20
Let me know if you have any questions!
Part of the population of 6,500 elk at a wildlife preserve is infected with a parasite. A random sample of 50
elk shows that 2 of them are infected. How many elk are likely to be infected?
Based on the sample, there will likely be
infected elk in the wildlife preserve.
Answer:
1,560
Step-by-step explanation:
PLEASE HELP! 10 points
Answer:
D
Step-by-step explanation:
Make it a triangle of side lengths 5 and 5 which means that 5√2 is the answer and D is the closest
1. The sum of six times a number, and 1, is equal to five times
the number. Find the number.
Answer:
-1
Step-by-step explanation:
To solve this word problem, we need to convert it into an equation. Let's first dissect the problem:
"The sum of six times a number and 1" -- since "sum" means addition, and "6 times" means 6 multiplied by some number, we can write this as: 6x + 1, where x stands for the unknown number
"is equal to five times the number" -- since "equals" means "=" and five times the number means 5x, where x stands for that same unknown number, we can write as: = 5x
Put it all together and we have
6x + 1 = 5x
Now we can solve our equation.
First, we need to get all of the like terms on each side of the equal sign. To do this, we will first subtract 1 from both sides:
6x + 1 - 1 = 5x - 1, which gives us 6x = 5x - 1
Next, we will subtract 5x from both sides:
6x - 5x = 5x - 5x - 1, giving us x = -1
-1 is the number
hope this helps
Answer:
x=-1
Step-by-step explanation:
6 x + 1 = 5 x
6 x - 5 x + 1 = 5 x - 5x
x +1 =0
x+1-1=-1
x=-1
A quality assurance check is 91% accurate for non-defective devices and 97% accurate for defective devices. Of the devices checked, 84% are not defective. What is the probability of an incorrect conclusion? Round your answer to the nearest tenth of a percent.
The probability of an incorrect conclusion is,
In 84 % of inspection, [tex]7.56\%[/tex] of them labeled as not defective but they are actually defective
Probability :It is given that,
A quality assurance check is 91% accurate for non-defective devices and 97% accurate for defective devices.
Of the devices checked, 84% are not defective.
Actual not defective is,
[tex]\frac{91*84}{100} = 76.44\%[/tex]
In [tex]84\%[/tex] of inspection,[tex]76.44\%[/tex] are actually not defective
But [tex]84- 76.44 = 7.56\%[/tex] of them labeled as not defective but they are actually defective
Learn more about Probability here:
https://brainly.com/question/24756209