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]
The product of 3 consecutive integers is 4,896. What is the largest of the three consecutive numbers?
Answer:
18
Step-by-step explanation:
1. Try to create an equation. We can say that the first number is x and the following numbers are x+1 and x+2. That means that x*(x+1)*(x+2)=4896.
2. Solve and Simplify. x^3+3x^2+2x=4896.
3. Solve and Simplify (2) I'm assuming that you're not looking for the complex solutions, so x=16.
4. Find the 3rd number. 16+2=18
Answer: 18 is the largest number of the three
A helicopter’s speed increases from 30 m/s to 40 m/s in 5 seconds.
What is the acceleration of this helicopter?
______m/s2
Answer:
2m/s^2
Step-by-step explanation:
the difference between 30 and 40 is 10. divide 10 by 5 and you get 2
Answer:
The answer is 2m/s2
Step-by-step explanation:
i got it right
Which values of a, b, and c correctly represent the answer in simplest form?
4 and one-half divided by 1 and one-fourth = a StartFraction b Over c EndFraction
a = 3, b = 6, c = 10
a = 3, b = 3, c = 5
a = 5, b = 3, c = 3
a = 10, b = 6, c = 3
Answer
the answer is a i
thinnk
Step-by-step explanation:
hope this helped!!
The values of the fraction are a = 3, b= 3, c= 5 is the correct answer.
What is a fraction?A fraction is a part of a whole number, and a way to split up a number into equal parts. It is a number expressed as a quotient, in which a numerator is divided by a denominator.
For the given situation,
The fraction is given as [tex]\frac{4\frac{1}{2} }{1\frac{1}{4} }[/tex]
⇒ [tex]\frac{\frac{9}{2} }{\frac{5}{4} }[/tex]
⇒ [tex]\frac{9}{2}[/tex] × [tex]\frac{4}{5}[/tex]
⇒ [tex]\frac{18}{5}[/tex]
⇒ [tex]3\frac{3}{5}[/tex]
Thus from the above value a = 3, b= 3, c= 5.
Hence we can conclude that the values of the fraction are a = 3, b= 3, c= 5 is the correct answer.
Learn more about fractions here
https://brainly.com/question/17205173
#SPJ2
The rule (x, y)→(x−1, y-3) represents a translation 1 unit ____ and 3 units ____
Answer: left, down
Hope this helps.
How do I solve this?
Answer:
Step-by-step explanation:
Slope= -3/1
plot from point (-2,4)
Answer:
Step-by-step explanation:
Just so that we have something to work with, the length of the longest day (June 22) in Acron Ohio is 15 hours 8 minutes and 9 seconds on the 20th of June of this year. The number we get won't be this accurate, but it will tell us if we have done it correctly. The tricky part is when to use the radians.
cos(0.1309 H) = -0.4336 tan (40o 46 minutes) I have assumed this is in radians. It won't work any other way. The measurement cannot be in degrees which will give a negative tan from the minus sign out in front. The cos being minus will make things even worse.
cos(0.1309 H) = -0.4336 tan (40 46/60 )
cos(0.1309 H) = -0.4336 tan (40.766666667)
cos(0.1309 H) = -0.4336 * -0.074173405
cos(0.1309 H) = 0.032161588
0.1309 H = cos-1(0.032161588)
0.1309 H = 1.538629191
H = 1.538629191 / 0.1309
H = 11.754 which is no where near 15 hours, but it is what the numbers give.
I would suggest that you go to your instructor for the other two. Work this one out until you get somewhere near 11.7 hours.
The other two cities should come to something near this answer.
I NEED HELP HERE ASAP, I’m giving brainliest to the right one. I forgot how to solve this:/
Answer:
28 weeks
Step-by-step explanation:
It says that $42 was 1/3 of her total. So you multiply $42 by 3 and you get $126. You now divide $126 by her weekly allowance, $4.5, and the answer is 28.
1. $42 x 3 = $126
2. $126/$4.5 = 28
3. The answer is Sharon has been saving her allowance for 28 weeks.
Hope this helps!
-Jerc
Answer:
She has been saving her money up for 28 weeks.
Step-by-step explanation:
1. If 42 is 1/3 of her money, then you would multiply 42 by 3 to get the full 3/3 so: 42•3=126
2. Next, you would divide $126 by $4.50 because that is the total amount of money divided by how much she saved up each week, so: 126/4.5=28 and that gives us the answer which is 28.
Find the standard deviation of the following data. Round your answer to one decimal place. x 00 11 22 33 44 55 P(X
Complete question :
Find the standard deviation of the following data. Round your answer to one decimal place.
X: 0 1 2 3 4 5
P(X) : 0.2, 0.3, 0.1, 0.1, 0.1, 0.2
Answer:
1.833
Step-by-step explanation:
Given the data :
X: 0 1 2 3 4 5
P(X) : 0.2, 0.3, 0.1, 0.1, 0.1, 0.2
Standard deviation (s) = Sqrt[Σx²*f(x) - E(x)²]
E(x) = (0*0.2) + (1*0.3)+(2*0.1)+(3*0.1) + (4*0.1) + (5 * 0.2) = 2.2
Sqrt[Σx²*f(x) - E(x)²]: [(0^2 * 0.2)+(1^2 * 0.3)+(2^2 * 0.1)+(3^2 * 0.1) + (4^2 * 0.1) + (5^2 * 0.2)] - 2.2²
Sqrt(8.2 - 4.84) = 1.833
Which measure is equivalent to 18,000 s?
1 min = 60 s
1 h = 60 min
0.5 h
3 h
5 h
30 h
Answer:
30 h
Step-by-step explanation:
went to the same question and got the answer plus i took th test
determine the range of the following graph:
Answer:
(-15)
Step-by-step explanation:
(-7) - 8 = (-15) (Range is the difference between Max and Min Value)
please follow me and mark as brainliest
please help explain if you can
Answer:
A
Step-by-step explanation:
58-90 bc its a right triangle
hope this helps
4 tens + 14 ones = 5 tens + ___ ones
Answer:
that equation isnt set up right
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
40+14=54 and 50 = 4 + 54
Hope this helps :)What is the scale factor of AABC to ADEF?
B
72
359
66
E
-35"
A 80°
12
80*
DS
11
42
65"
A. 6
B.
1
2
1
C.
02
D. 2
so we know that the size of the triangle is decreasing witch means that the scale factor is going to be a fraction. to find this fraction you are going to divide the smaller side by the corisponding longer side.
12/72= 1/6
the correct answer is c 1/6
The scale factor of triangles ABC and DEF is 6.
Option A is the correct answer.
What is a scale factor?A scale factor is defined as the ratio between the scale of a given original object and a new object,
We have,
From the triangles,
The ratio of the corresponding sides of the two triangles must be equal.
The value of the ratio is the scale factor.
So,
AB/DE = BC/EF = AC/DF
This can be written as,
72/12 = 66/11 = 42/7
6 = 6 = 6
Thus,
The scale factor of triangles ABC and DEF is 6.
Learn more about scale factors here:
https://brainly.com/question/20759556
#SPJ5
Find the product of a^2 (4ab - 6c)
Answer:
4a^3b − 6a^2c
Step-by-step explanation:
you have been planning to buy a new swimsuit this year. you just found one that you really like that is 50% off. if the original cost of the swimsuit is $24 how much is it now?
Answer:
$12
Step-by-step explanation:
50% is half off of something, which in this case would be the $24, so you would just take half off the 24. So you could divide it by 2 which would be 12.
If A= (-1,-3) and B= (11,-8) what is the length of AB?
Answer:
AB is 13
Step-by-step explanation
pls help will give brainliest
Answer:
14 units
Step-by-step explanation:
Answer:
[tex]\sqrt{116[/tex] ( award branliest :) )
Step-by-step explanation:
When you insert both points into the distance formula which is
d = [tex]\sqrt{(x2-x1)^2+(y2-y1)^2}[/tex] you arrive at the final answer of [tex]\sqrt{116}[/tex]
Explain how sample size affects statistical significance.
Answer:
More formally, statistical power is the probability of finding a statistically significant result, given that there really is a difference (or effect) in the population. ... So, larger sample sizes give more reliable results with greater precision and power, but they also cost more time and money.
Celesta wants to go on a cruise in three years. She could earn 8.2 percent compounded monthly in an account if she were to deposit the money today. She needs to have $10,000 in three years. How much will she have to deposit today
Given:
Amount after three years = $10000
Rate of interest = 8.2 percent compounded monthly = 0.082
Time = 3 years
To find:
The principal value.
Solution:
Formula for amount is
[tex]A=P\left(1+\dfrac{r}{n}\right)^{nt}[/tex]
where, P is principal, r is rate of interest, n is the number of times interest compounded in an year, t is number of years.
Substitute A=10000, r=0.082, n=12 and t=3 in the above formula.
[tex]10000=P\left(1+\dfrac{0.082}{12}\right)^{12(3)}[/tex]
[tex]10000=P\left(1+\dfrac{41}{6000}\right)^{36}[/tex]
[tex]10000=P\left(\dfrac{6041}{6000}\right)^{36}[/tex]
[tex]10000=P(1.27783)[/tex]
Divide both sides by 1.27783.
[tex]\dfrac{10000}{1.27783}=P[/tex]
[tex]7825.76712=P[/tex]
[tex]P\approx 7825.767[/tex]
Therefore, today she have to deposit $7825.767.
if 6 pounds of apples cost $9, how much would 21 apples cost?
What is 40 percent of 50?
1. 20
2. 30
3. 40
4. 10
Answer:
1) 20
Step-by-step explanation:
40% percent of this number is only a small amount.
20
Step-by-step explanation:
40 percent of this number is a small amount
a horizontal line , such as y=4, has a slope of what
Answer:
0
Step-by-step explanation:
A horizontal line has a slope of zero and a vertical line has an undefined slope
14. Quincy delivered 240
newspapers yesterday and 180
newspapers today.
Answer:
What is the question?
Step-by-step explanation:
The shapes below are similar. What does x have to be?
f(n)= 4n+4
g(n)= n + 1
Find (f + g)(n)
Simplify. 32v2 the power of 4/ 8v to the power of 6
The product of the number g and the opposite of 7 is equal to k.
Change to an algebraic expression
Help me out please I need it
Answer:
what do you need help with you did not provide a picture or any evidence
Step-by-step explanation:
step-by-step explanation
I need help with this question
Answer:
The answer is going to be option 1.
Step-by-step explanation:
The answer you get from multiply an number by itself is a perfect square.
Answer:
8×8 =8^2=64 (perfect square)
Step-by-step explanation:
64 is a perfect square because 8^2 =8×8 =64
Evaluate 64 to the power of 1/2 x 10 to the power of -2
1 Later that afternoon, Robert spent more time playing the video game.
He earned 88 points. How many points did he tell his friend that
he earned?