Answer:
Definitely
since the definition of a terminating decimal is one that has an ending, and a Repeating decimal is one that never ends.
Step-by-step explanation:
Mr. Javier purchased a number of pencils for ₱180 and sold all except 6 at a profit of ₱2 per pencil. With the total amount received, he could buy 30 more items than before. Find the number of items he bought and the cost of each in pesos
Answer:
36 pencils
[tex]Cost = 0.2[/tex]
Step-by-step explanation:
Given
Cost Price = 180
Represent the number of items by x
This implies that the cost of each item is [tex]\frac{x}{180}[/tex]
[tex]Selling\ Price = Cost + Profit[/tex]
[tex]Selling\ Price = \frac{x}{180} + 2[/tex]
Since all but 6 items were sold, the total selling price is:
[tex]Total = (x - 6)(\frac{x}{180} + 2)[/tex]
This amount can be used to buy 30 more items.
So, we have:
[tex](x - 6)(\frac{x}{180} + 2) = x + 30[/tex]
Multiply both sides by 180
[tex]180 * (x - 6)(\frac{x}{180} + 2) =180(x + 30)[/tex]
[tex](x - 6)(x + 360) = 180x + 5400[/tex]
Expand brackets
[tex]x\² + 360x - 6x - 2160 = 180x + 5400[/tex]
[tex]x\² + 354x - 2160 = 180x + 5400[/tex]
Equate to 0
[tex]x\² + 354x - 180x - 2160 - 5400 = 0[/tex]
[tex]x\² + 174x - 7560 = 0[/tex]
Expand
[tex]x\² + 210x - 36x - 7560 = 0[/tex]
[tex]x(x + 210) - 36(x + 210) = 0[/tex]
[tex](x - 36)(x + 210) = 0[/tex]
[tex]x - 36 = 0[/tex] or [tex]x + 210 = 0[/tex]
[tex]x = 36[/tex] or [tex]x = -210[/tex]
Since, number of items can't be negative, we have to discard x = -210.
Hence:
[tex]x = 36[/tex]
We can then conclude that, Mr. Javier purchased 36 pencils
Recall that
[tex]Cost = \frac{x}{180}[/tex]
[tex]Cost = \frac{36}{180}[/tex]
[tex]Cost = 0.2[/tex]
If A and B are independent events, which equation must be true?
Α.
P(B/A) = P(A)
B.
P(B/A) = P(B)
C.
P(B/A) = P(A) P(B)
D.
P(B/A) = P(A) + P(B)
Answer:
B. P(B/A)=P(B)
For each of these intervals, list all its elements or explain 2.1 Sets 131 why it is empty. a) [a,a] c) (a, a] e) (a,b), where a > b b) [a,a) d) (a, a) f) [a,b],wherea>b
Answer: b
Step-by-step explanation:
PLZ HURRY IT'S URGENT!!
What is the slope of the line?
x=−8
options:
undefined
-8
1
0
Answer:
im pretty sure it's -8
Answer:
undefined
Step-by-step explanation:
the line goes straight down
Solve for x and y in the equation.
xy=80 and log x - 2 log y =1
9514 1404 393
Answer:
(x, y) = (40, 2)
Step-by-step explanation:
Taking the antilog of the second equation, we have ...
x/y^2 = 10
x = 10y^2
Substituting this into the first equation gives ...
(10y^2)y = 80
y^3 = 8 . . . . . . . . divide by 10
y = 2 . . . . . . . . . . cube root
x = 10·2^2 = 40
The solution is (x, y) = (40, 2).
The following table shows the height of a plant at different ages.
Age (in weeks)
3
7
10
Height (in centimeters)
12
35
60
Is the height of the plant proportional to its age?
Choose 1 answer:
А
Yes
B
No
Answer:
the answer to this question would be A
A regional office of the Internal Revenue Service randomly distributes returns to be audited to the pool of auditors. Over the thousands of returns audited last year, the average amount of extra taxes collected was $356 per audited return. One of the auditors, Jeffrey Jones, is suspected of being too lenient with persons whose returns are being audited. For a simple random sample of 30 of the returns audited by Mr. Jones last year, an average of $340 in extra taxes was collected.
Required:
Assuming a normal population of extra taxes collected with a standard deviation of $90, do the suspicions against Mr. Jones appear to be justified?
Answer:
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There is sufficient evidence to conclude that the justification against Mr. Jones appears not to be justified
Step-by-step explanation:
From the question we are told that
The population mean is [tex]\mu = \$ 356[/tex]
The sample size is n = 30
The sample mean is [tex]\= x = \$340[/tex]
The standard deviation is [tex]\sigma = \$ 90[/tex]
The null hypothesis is [tex]H_o : \mu = \$ 35 6[/tex]
The alternative hypothesis is [tex]H_a : \mu \ne \$ 35 6[/tex]
Let assume the significance level is [tex]\alpha = 0.05[/tex]
Generally the test statistic is mathematically represented as
[tex]t = \frac{\= x - \mu }{\frac{\sigma }{\sqrt{n} } }[/tex]
=> [tex]t = \frac{ 340 - 356 }{\frac{90 }{\sqrt{30} } }[/tex]
=> [tex]t =-0.9737 [/tex]
Generally the sample size from the question is small that it is not greater than 30 hence we use t-test
Now the degree of freedom is mathematically represented as
[tex]df = n- 1[/tex]
=> [tex]df = 30- 1[/tex]
=> [tex]df= 29[/tex]
Generally the p-value is mathematically represented as
[tex]p-value = 2 P (t > -0.9737 )[/tex]
Generally from the t-distribution table , the probability of -0.9737 at a degree of freedom of [tex]df= 29[/tex] for a two -tailed test is
[tex]P (t > -0.9737 ) = 0.33825793[/tex]
Hence p-value is
[tex]p-value = 2*0.33825793[/tex]
[tex]p-value = 0.676 [/tex]
From the value we obtained we see that [tex]p-value > \alpha[/tex] hence
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There is sufficient evidence to conclude that the justification against Mr. Jones appears not to be justified
A machine in a factory produces 25 gismos a day. After a $174 repair job, the machine improves its gizmo output by 16%.If the sale of a gizmo makes a profit of 75cents, the number of days it will take to recover the machine's repair is???
PLEAS HELP ME!!!
Answer:
Around 10 days ( 9.28 days: 9 days 6 hours 43 minutes 12 seconds).
Step-by-step explanation:
Given that 25 gizmos are produced each day, and 75 ¢ are made off of each one, a 174$ repair job will take away money that will need to be paid off.
We can create the following equation by using the amount of gizmos earned per day(x or time) multiplied the money made off of each one(in cents ¢), is equal to the repair job since it will be paid off once it is canceled out.
25x(75¢) = 174$.
Since the money made by each gizmo is in cents and not dollars, it is best to convert this into dollars since the repair job is in this form. Because 100¢ are in each dollar, 75¢ = 75/100 dollars = 3/4 dollars.
3/4 * 25 x = (3/4) * (25x) = (25*3) / 4 = 75/4x
(75/4)x = 174$
(75/4x) * (4/75) = (174$) * (4/75)
x = (174 * 4) / 75
x = 696 / 75
x = 9.28
We are multiplying by the reciprocal (numerator and denominator are switched) since it will make your coefficient 1 which is the variable itself. anything times it's reciprocal is equal to one.
75/4x = 174$
×4 ×4
(cancel out the denominator)
____________
75x = 696$
÷ 75 ÷ 75
(cancel out 75 to get the variable by itself)
___________
x = 696/75
x = 232/25
x = 928/100
x = 9.28
___________
Using a system of equation, the number of days it will take to recuvwr the repair cost is 58 days.
The increase in amount of gizmo produced after repair :
0.16) × 25 = 4 gizmos per dayPrize per gizmo = 75 cent = $0.75
Repair cost = $174
The number of days it will take to recover the repair fee can be calculated thus :
(Increase on gizmo per day × cost per gizmo)× number of days = repair fee
(4 × 0.75)d= 174
3d = 174
d = 174 / 3
d = 58
Therefore, it will take 58 days to recover the repair fee.
Learn more : https://brainly.com/question/18796573
Researchers investigated whether the proportion of American teenagers with some level of hearing loss was diff erent in 2005–2006 than in 1988–1994. They collected data on random samples of American teenagers in those two time periods. Let the symbol π05-06 denote the population proportion of American teenagers with some level of hearing loss in 2005–2006 and similarly for π88-94. A 95% confidence interval for the parameter π05-06 − π88-94 turns out to be (0.0015, 0.0467).
Required:
What is an appropriate conclusion to draw?
Complete Question
Researchers investigated whether the proportion of American teenagers with some level of hearing loss was different in 2005–2006 than in 1988–1994. They collected data on random samples of American teenagers in those two time periods. Let the symbol [tex]\pi __{05-06}}[/tex] denote the population proportion of American teenagers with some level of hearing loss in 2005–2006 and similarly for [tex]\pi__{{88-94}}[/tex]. A 95% confidence interval for the parameter [tex]\pi__{{05-06}} }- \pi__{{88-94}}[/tex] turns out to be (0.0015, 0.0467).
Required:
What is an appropriate conclusion to draw?
Answer:
The appropriate conclusion is
The sample data provide little evidence to doubt that the proportion of American teenagers with hearing loss was the same in 1988-1994 as in 2005-2006
Step-by-step explanation:
Generally the appropriate conclusion is
The sample data provide little evidence to doubt that the proportion of American teenagers with hearing loss was the same in 1988-1994 as in 2005-2006.
This because the confidence intervals are very close to zero , i.e both the upper limit and the lower limit are close to zero and if we are take 0.05 as our level of significance we see that the both values of the confidence level are small to be significant
Vickie bought 54 tickets for a ride at an amusement park.each ride cost 3 tickets and Vickie has been on x rides so far.which expression to the number of tickets that Vickie has left?
Answer: 18
Steps: 54/3=18
1 8
3/54
-3
24
-24
0
What are the slopes of the perpendicular lines?
1: y=-5/2x-8
2: y=5x
3: y=3x-8
Answer:
1. 2/5
2. -1/5
3. -1/3
Step-by-step explanation:
the parpendicular slope is found by taking the original slope and finding the opposite reciprocal. so just flip the slope and make it the opposite sign
-5/2 ---> 2/5
+5/1 ---> -1/5
+3/1 ---> -1/3
PLEASE MIDDLE SCHOOL MATH NEED HELP!!!! THIS IS URGENT 13 POINTS TO FULL ANSWER!!!
I bought 7 1/3 pounds of apples from Store A and 9 2/6 pounds of apples from Store B. I made apple sauce using 2 1/2 pounds of apples, how many pounds do I have left?
Answer:
14 1/6
Step-by-step explanation:
7(1/3)+ 9(2/6)= 16(2/3)
16(2/3)
16(2/3)-2(1/2)= 14(1/6)
Answer:
14 1/6
Step-by-step explanation:
7 + 9 =16
convert 2/6 = 1/3
1/3 +1/3=2/3+16=
16 2/3 -2 1/2=
Given parallelogram ABCD, the measure of angle C
Answer:
70 is the answer to the question
Answer:
[tex]70^{o}[/tex]
Step-by-step explanation:
Opposite angles in a parallelogram are equal. The opposite angle to A is C and we are trying to find angle C. Therefore, <C = <A, therefore, <c= 70 degrees
if you rolled two dice, what is the probability that you would roll a sum of 2
Answer:
2.78%
Step-by-step explanation:
Theres only one number combination you could get for the sum of 2 ( 1 and 1) but there is 36 different outcomes on the 2 dice that you could get for all the numbers.
1/36=.02777.. =.0278 but since its a percentage you move it over 2x to the right from the decimal point which would give you 2.78%
Chris has 12 sweets. He has 3 red, 6 blue, 1 yellow and 2 green sweets what fraction of his sweets is red Answer
Answer:
He has had a quarter of the red sweets (1/4)
Step-by-step explanation:
3/12 is 1/4 when simplified
Answer:
1/4 or 3/12
Step-by-step explanation:
There are 3 red sweets out of all the sweets (3/12).
A simplified version of 3/12 would be 1/4.
Please answer these giving brainliest to the first right person. 20 points.
Answer:
31.x>2
32.x<-2
33.x<5
34.x>0
Step-by-step explanation:
an object is thrown upward at a speed of 74 feet per second by a machine from a height of 18 feet off the ground. The height h of the object after t seconds can be found using the equation h=-16t^2+74t+18
Answer:
First part:
Set h(t) = 73 and solve for t.
-16t2 + 64t + 16 = 73
-16t2 + 64t - 57 = 0
Solve this quadratic equation for t. You should get 2 positive solutions. The lower value is the time to reach 73 on the way up, and the higher value is the time to reach 73 again, on the way down.
Second part:
Set h(t) = 0 and solve the resulting quadratic equation for t. You should get a negative solution (which you can discard), and a positive solution. The latter is your answer.
Step-by-step explanation:
dai is comparing how many trading cards he has with friends Maura
Answer:
ok
Step-by-step explanation:
The students can make 6 tickets from each sheet of paper. How many sheets of paper. How many sheets of paper are needed for 125 tickets?
Answer:
21 sheets of paper
Step-by-step explanation:
If its basically 6 tickets to a piece of paper then you just divide 125 tickets by 6 and get 20.833.... Then your round to the nearest sheet which is 21.
Hope this helps!
Answer:
Approx. 21 sheets of paper
Step-by-step explanation:
1 sheet of paper is used to make 6 tickets
6 tickets = 1 sheet
If 1 sheet is used to make 6 tickets. The number of sheets used to make 125 tickets will more.
if
6 tickets = 1 sheet
125 tickets = (125÷6) × 1
= 20.83333333333
How many gallons are in Two-fifths of a One-half-gallon container of milk?
Answer:
one tenth of a galon
Step-by-step explanation:
I think this is the answer hope this helps (:
Write an equation of the line passing through point P(−2, 6) that is parallel to the line x=−5.
Answer:
x = -2
Step-by-step explanation:
The line x = - 5 means it is a straight vertical line that has no slope. This means that the slope is undefined.
Now, for this line to be parallel to the line passing through point P(−2, 6), it means the line will be a vertical line too with the equation of form (x = a).
Thus, the equation of the line is x = -2
The equation of the line is given by:
[tex]x = -2[/tex]
The equation of a line has the following format:
[tex]y = mx + b[/tex]
In which:
m is the slope, which is the rate of change.b is the y-intercept, which is the value of x when y = 0.If two lines are parallel, they have the same slope.Line x = -5 is a horizontal line, thus, it's slope is undefined.
A line parallel will also be horizontal, with undefined slope.
It passes through point P(-2,6), thus, the equation of the line is:
[tex]x = -2[/tex]
A similar problem is given at https://brainly.com/question/16302622
use benchmarks to estimate the sum 11/15 +1/8
Answer:
103/120
Step-by-step explanation:
7 + (−3) simplify
please
Answer:
4
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
When you add a negative number, you're basically subtracting it.
7 - 3 = 4
Hope this helps! Good luck :)
You decide to purchase a bond for $500. It pays 5% simple interest per year and matures in 5 years. How much interest will you earn once the bond matures? Round your answer to the nearest dollar.
Do NOT round until you have calculated your final answer.
Answer:
$625
Step-by-step explanation:
You start with $500
The interest per year is 5% or 500 x 0.05 = $25
If it matures 5 years and each year has an increase of $25 then
Year 1 - $525
Year 2 - $550
Year 3 - $575
Year 4 - $600
Year 5 - $625
Answer:
Step-by-step explanation:
We express the interest rate r in decimal form, so we have r=5%=5100=0.05. The principal is P=500 and the time in years is t=5. So, the interest is I=Prt=(500)(0.05)(5)=$125. The interest earned is $125.
Hi guys I’m bored can someone talk to me please? :)
Answer:
sure
Step-by-step explanation:
Answer:
hello
Step-by-step explanation:
HELP ME ASAP!!! I WILL MARK BRAINLIEST!!
Sally buys a shirt of 5.00. New York's sales tax is 8.200. What is the final price?
Show your work and explain or I report and delete answer.
Answer: $5.40
Sales tax is a price you add to every 100 cents purchased.
Sally purchased a shirt of 5.00, and New York's sales tax is 8.200.
So, we multiply 8 by 5. We get the number 40, right?
You now add 0.40 to 5.00.
The answer totals at 5.40 because 5.00 + 0.40 = 5.40.
Hope this helps you out!
What is the total number of digits required in numbering the pages of a book, which has 1,150 pages?
Good Morning
Here is a Maths Question for you - I will give Brainliest. Worth 10 points. Also please answer ASAP.
Please show workings as well.
Thanks
Jake
Answer:
13-(5*4)=?
13-20=-7
Step-by-step explanation:
the orginal number is 13 and accordin to the question it has stated that everysteps we have to take out 5 so what i did is that i multiplied 4 by 5 and i a going to subtract it from 13 which i have the result of -7.
Answer:
28
Step-by-step explanation:
first term(a)=13
difference(d)=5
t(4)=?
now,
t(4)=a+(n-1)d
=13+(4-1)5
=13+3×5
=28
HELP ME PLEASE!!!!!!!!!
Which statement describes the system of equations?
5x-3y=34
x-2y=4
It has infinitely many solutions.
It has no solution.
It has one solution (24/13, -14/13)
It has one solution (8, 2).
Answer: It has one solution (8, 2).
Step-by-step explanation:
I put both equations in Desmos and the solution was (8,2)