Assuming it's the "580" block being repeated:
x = 0.580580580...
1000x = 580.580580580...
1000x - x = 999x = 580
x = 580/999
If it's the "80" block that repeats:
x = 0.5808080...
10x = 5.808080...
1000x = 580.808080...
1000x - 10x = 990x = 575
x = 575/990 = 115/198
And if it's just the 0 that repeats, then the decimal terminates and
0.58000... = 0.58 = 58/100 = 29/50
but this is likely not the number you're talking about.
What value of r makes the following equation true?
8=−3r+7r
Answer:
r = 2
Step-by-step explanation:
Step 1:
8 = - 3r + 7r Equation
Step 2:
8 = 4r Combine Like Terms
Step 3:
r = 8 ÷ 4 Divide
Answer:
r = 2
Hope This Helps :)
how many natural numbers lie between 75² and 76²
Answer:
Natural numbers between [tex]75^{2}[/tex] and [tex]76^{2}[/tex] is
(76 * 76) - (75 * 75)
=> 5776 - 5625
=> 151
Therefore, there are 151 natural numbers between [tex]75^{2}[/tex] and [tex]76^{2}[/tex]
If my answer helped, kindly mark me as the brainliest!!
Thank You!!
What is 9/10-3/4= In simplest form
The cost of producing magnets with the company logo printed on them consists of a onetime setup fee of $230.00 plus $0.85 for each magnet produced. This cost can be calculated using the formula C=230.00+0.85p, where p represents the number of magnets produced and C is the cost. Use the formula to calculate the cost of producing 1600 magnets.
A company paid $48 for 2 cases of printer paper. Each case contained 12 packages of paper. Next month the company’s office manager needs to order 180 packages of the same paper. If the price per package does not change, what would be the total cost of next month’s order?
Answer:
$360.
Step-by-step explanation:
First we need to find how much it costs for a single case of printer paper.
48 ÷ 2 = 24
It costs $24 to buy one case of 12 packages.
Now we have to figure out how many cases we will need to buy for the total amount of 180 packages.
I will divide 12 from 180.
180/12 = 15.
You will need to buy 15 cases to get 180 packages.
Now to find the cost, we have to multiply.
x = 15 (amount of cases)
y = $24 (price of case)
z = How much it costs.
[tex]x * y=z[/tex]
Substitute:
[tex]15*24=z[/tex]
Multiply:
[tex]15 * 24= 360[/tex]
[tex]z=360[/tex]
If the price does not change, the total cost of next month's order will be $360.
A stadium has 45,000 seats. Seats sell for $28 in Section A, $24 in Section B, and $20 in Section C. The number of seats in Section A equals the total number of seats in Sections B and C. Suppose the stadium takes in $1,139,600 from each sold-out event. How many seats does each section hold?
Answer:
section A = 22,500 seatssection B = 14,900 seatssection C = 7,600 seatsStep-by-step explanation:
given:
stadium has 45,000 seats.
section A = $28 per ticket
section B = $24 per ticket
section C = $20 per ticket
$1,139,600 from each sold out event
Seats on A = Seats B + Seats C
find:
How many seats does each section hold?
solution:
45,000 = A + B + C eq. 11,139,600 = 28A + 24B + 20C eq. 2since A = B + C, substitute A into eq. 1
45,000 = A + B + C45,000 = (B + C) + B + C45,000 = 2B + 2C45,000 - 2C = 2BB = 45,000 - 2C2
B = 22,500 - C eq. 3since A = 22,500
B = 22,500 - C
substitute A and B into eq. 2 to get C
1,139,600 = 28A + 24B + 20C1,139,600 = 28(22,500) + 24(22,500 - C) + 20C1,139,600 = 630,000 + 540,000 - 24C + 20C1,139,600 - 630,000 - 540,000 = -24C + 20C-30,400 = -2CC = 30,4004
C = 7,600now plugin the value of C=15,200 into eq. 3
B = 22,500 - CB = 22,500 - 7,600B = 14,900therefore, the number of seats on each sections are:
seats A = 22,500
seats B = 14,900
seats C = 7,600
Proof:
45,000 = A + B + C45,000 = 22,500 + 14,900 + 7,60045,000 = 45,000 √
1,139,600 = 28A + 24B + 20C1,139,600 = 28(22,500) + 24(14,900) + 20(7,600)1,139,600 = 630,000 + 357,600 + 152,0001,139,600 = 1,139,600 √Sharon types for other people. She charges $1.25 per page for double-spaced pages and $1.75 per page for space-and-a-half pages. How much total pay would she receive for a 25 page double spaced report and a 15 page space-and-a-half report?
Answer: Double Spaced Pages = $31.25 Space And A Half Pages = $26.25
Step-by-step explanation:
Multiplication
Double-Spaced Pages
1.25 x 25 = 31.25
Space And A Half Pages
1.75 x 15 = 26.25
What is the decimal equivalent of 4/5?
A. 0.16
B. 0.20
C. 0.25
D. 0.80
Determine whether y varies directly with x. If so, find the constant of the variation.
y=7/x
Answer:
Direct variation is modeled by
... y = k·x
Then the value of k can be found by finding the ratio of any corresponding pair of numbers from your table. I find it convenient to choose the one where x=10, so the math is easy to do mentally.
... y/x = k
... 16/10 = k = 1.6
Then the equation is
... y = 1.6x
_____
Checking the other values in the table, we find that this equation fits all of them, so you do have direct variation.Step-by-step explanation:
Randal's dad is installing a new pool in their backyard. The pool is a square and has an area of 121ft2. Randall's dad will then build a 4ft wide deck to surround the pool. What is the outside perimeter of the deck?
A. 28 ft.
B. 100 ft.
C. 75 ft.
D. 44 ft.
Answer:
I think it's 44
Step-by-step explanation:
What is x=__° pleaseee help
Answer:
100 degrees
sorry if i wrong
Step-by-step explanation:
Solve the equation x^3+2x^2-5x-6=0 given that 2 is a zero of f(x)=x^3+2x^2-5x-6. PLZ HELP ME!!! I WILL GIVE YOU BRAINIEST
Answer:
x= -3, -1, and 2
Step-by-step explanation:
x=-1, 2 and -3 are solutions of equation x^3+2x^2-5x-6=0
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given equation is x^3+2x^2-5x-6=0
As we know that 2 is a zero of f(x)
So we need to simplify it by synthetic division as in attached figure.
We get x2+4x+3
x2+3x+1x+3
x(x+3)+(x+3)
(x+1)(x+3)
So as (x-2)=0
x=2
x+3=0
x=-3
x+1=0
x=-1
Hence x=-1, 2 and -3 are solutions of equation x^3+2x^2-5x-6=0
To learn more on Equation:
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Convert 18% to a fraction in lowest term
Answer:
[tex]\frac{9}{50}[/tex]
Step-by-step explanation:
This is the answer because:
1) 185 equals to [tex]\frac{18}{100}[/tex] because 18% is equal to 0.18 which is [tex]\frac{18}{100}[/tex]
2) [tex]\frac{18}{100}[/tex] to it's lowest terms is [tex]\frac{9}{50}[/tex]
3) It's lowest terms is [tex]\frac{9}{50}[/tex] because 18/2 is 9 and 100/2 is 50
4) [tex]\frac{9}{50}[/tex] can't be simplified any further because 9 and 50 don't have any common factors
Hope this helps! :D
I need to know whether its
A) 54
B)88
C)68
D)34
Megan Jordan and Katie babysat and earned a total of $65.55 if they split the earnings evenly how much would each person earn
$32.77
Step-by-step explanation:
divide 65.55 by 2
Thomas has 1 1/4 cans of paint. He has 3 walls to paint. How much paint can he use on each wall?
Answer:
5/12
Step-by-step explanation:
21,437 to the nearest ten thousand
Answer:
the question is not well defined
Answer:
20,000
Step-by-step explanation:
the 1 will make the 21437 round down because it is less than 5
The National Association of College and University Business Officers collects data on college endowments. In 2015, its report included the endowment values of 841 colleges and universities in the United States and Canada. When the endowment values are arranged in order, what are the locations of the median and the quartiles in this ordered list?
(Enter the position of the median and quartiles in the answer blanks, not the actual values of the median and quartiles. The data set of all 841 values is not provided here so it would be impossible to find the values of the median and quartiles with the information provided.)
What is the position of the median? (Enter you answer rounded to the nearest whole number.)
What is the position of the first quartile? (Enter your answer rounded to one decimal place.)
What is the position of the third quartile? (Enter your answer rounded to one decimal place.)
Answer:
.
Step-by-step explanation:
How many feet tall is the person ?
Answer:
5.5 feet
Step-by-step explanation
Method of Least Squares, Goodness of Fit Deepa Dalal opened a free-standing radiology clinic. She had anticipated that the costs for the radiological tests would be primarily fixed, but she found that costs increased with the number of tests performed. Costs for this service over the past nine months are as follows:______.
Month Radiology Tests Total Cost
January 2,800 $133,500
February 2,600 135,060
March 3,100 175,000
April 3,500 170,600
May 3,400 176,900
June 3,700 186,600
July 3,840 174,450
August 4,100 195,510
September 3,450 185,300
Required:
1. Compute the cost formula for radiology services using the method of least squares. If required, round your answers to two decimal places.
Y = $ ________ + $ _________X
2. Using the formula computed in Requirement 1, what is the predicted cost of radiology services for October for 3,500 appointments? (Round the answer to the nearest dollar.)
$ _____________________
Answer:
Step-by-step explanation:
From the given information:
The cost formula for radiological services can be computed as:
Month Radiology Test Total Cost
X Y XY
Jan 2800 133500 3738×10⁵
Feb 2600 135060 351156×10³
Mar 3100 175000 5425×10⁵
April 3500 170600 5971×10⁵
May 3400 176900 60146×10⁴
June 3700 186600 69042×10⁴
July 3840 174450 669888×10³
Aug 4100 195510 801591×10³
Sept 3450 185300 639285×10³
52672×10⁵
Similarly, X²; =
Jan 784×10⁴
Feb 676×10⁴
Mar 961×10⁴
April 1225×10⁴
May 1156×10⁴
June 1369×10⁴
July 14745600
Aug 16810000
Sept 11902500
105168100
Now, suppose the equation is being represented by y = a+bx
where;
[tex]a = \dfrac{\sum Y * \sum X^2 -\sum X^2 \sum Y}{n * \sum X^2 - (\sum X)^2}[/tex]
[tex]a = \dfrac{1532920 *105168100-30490(52672\times 10^5)}{9 *105168100 - (30490)^2}[/tex]
a = 36588.821
Also,
[tex]b = \dfrac{n \sum XY - \sum X \sum Y}{n \sum X^2 -(\sum X)^2}[/tex]
[tex]b = \dfrac{9* 52672*10^5 -30990*1532920}{9*105168100-(30490)^2}[/tex]
b = 39.476
Thus;
Y = $36588.82 + $39.48X
The predicted cost of radiology for 3500 appointments will be :
Y = $36588.82 + $39.48X
Y = $36588.82 + $39.48(3500)
Y = 174768.82
Y ≅ $174769
Please help ASAP!! Algebra (equation in picture)
Peanut allergies are becoming increasingly common in Western countries. Some evidence points to the timing of peanuts! first introduction in the diet as an influential factor, raising the question of whether pediatricians should recommend early exposure or avoidance. A study enrolled infants with a diagnosed peanut allergy and randomly assigned them to either completely avoid peanuts or consume peanuts in small amounts regularly until they reached 60 months of age. At the end of the study, 18 of the 51 infants who had avoided peanuts were still allergic to peanuts. In contrast, 5 of the 47 infants who had consumed peanuts were still allergic to peanuts. Do the data indicate that one approach is more beneficial? Follow the four‑step process.
STATE: What is the question we are asking?
A. Does early exposure to peanuts better reduce peanut allergy in children with a known allergy to peanuts?
B. Does early exposure to peanuts in small amounts or complete avoidance of peanuts better reduce peanut allergy in children with a known allergy to peanuts?
C. Should all children under the age of 60 months avoid peanuts or only eat them in small amounts?
D. Should all children under 60 months eat peanuts regularly in small amounts?
Answer:
B. Does early exposure to peanuts in small amounts or complete avoidance of peanuts better reduce peanut allergy in children with a known allergy to peanuts?
Step-by-step explanation:
Remember we are told there's already a question whether pediatricians should recommend early exposure or avoidance. Thus, the research question should answer these two issues (early exposure or avoidance).
Hence, the question we are asking is: Does early exposure to peanuts in small amounts or complete avoidance of peanuts better reduce peanut allergy in children with a known allergy to peanuts?
99+33=132 solve as a(b+c)
Answer:
3267ab+13068ac
The distance from Chicago to NY is 794 miles what is 794 rounded to nearest hundred
Answer:
794 rounded to the nearest hundred is 800.
Step-by-step explanation:
The round off value of 794 is 800 miles.
What is Round off?While rounding is a broad concept, we typically use the terms 'round up' or 'round down' to indicate whether the number has increased or reduced following rounding. When the rounded number is increased, the supplied number is said to be rounded up, and when it is dropped, it is said to be rounded down.
We have,
The distance from Chicago to NY is 794 miles.
As, we know to round off we have to focus on the number is greater than 5 or less than 5.
Now, to round off 794 nearest hundred it lies between 700 and 800.
Learn more about round off here:
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mandy has 50 toy cars. 20% of the cars are silver. How many cars are silver?
Please Help!!! Brainliest will be given!
1. Can x^3+8 be factored? Explain
A. Yes, because x^3 and 8 both share a common factor.
B. No, because x^3 and 8 do not have any common factors.
C. Yes, becahse a sum of cubes can be factored. D. No, becahse a sum of cubes cannot be factored.
2. Determine whether each identity is true or false.
A. a^2-2ab+b^2=(a+b)(a-b)
B. a^2-b^2=(a+b)(a+b)
C. a^2+2ab+b^2=(a+b)(a+b)
D. a^3-b^3=(a-b)(a^2+ab+b)
Answer:
1. C. Yes, because a sum of cubes can be factored
2a. false
2b. false
2c. true
2d. false (based on what is written in the equation; refer to step-by-step)
Step-by-step explanation:
1. Both 3 and 8 can be cubed, which is why x^3+8 can be factored (x+2)(x^2-2x+4)
2a. a^2-b^2 can be factored by the perfect square rule, so it should be (a-b)^2
2b. both terms are perfect squares, so you can factor, making it (a+b)(a-b)
2c. You can factor using the perfect square rule, making it (a+b)^2
2d. Most of what is in the equation is true, yet the correct solution would be (a-b)(a^2+ab+b^2)
What is the circumference of this circle
Answer: C≈75.4
You can use C = πd as the formula.
The sum of two numbers is 34 and the difference is 8
What are the numbers ?
Answer:
The two numbers would be 21 and 13
Step-by-step explanation:
Check:
21+13=34
21-13=8
So the two numbers are correct.
(Translate each sentence into a formula)
the area A of a circle is pi times the radius r squared
Answer:
A=πr2
THIS IS THE ANSWER
PLEASE MARK BRAINLIEST!!!!!
Select the correct answer.
What is the equation of the line that has a slope of -4 and goes through (-1.6)?
Answer:
The Answer is C
Step-by-step explanation:
The typical equation is m= (y-y1)/(x-x1)
You are given the coordinate (-1, 6)
x1= -1
y1= 6
m = -4
The answers show that (y-y1)=m(x-x1)
So, you will just plug in the givens.
