A camper lights an oil lantern at 12 noon lets it burn continuously. Once the lantern is lit, the lantern burns oil at a constant tare of each hour. At 2 p.m., the amount of oil left in the lantern is 63 ounces. At 5 p.m., the amount of oil left in the lantern is 61 1/2 ounces. Based on the average rate of oil burning per hour, how much oil, in ounces, was in the lantern at 12 noon?
Show your work.
Unit rate is the quantity of an amount of something at a rate of one of another quantity.
The rate at which the oil burns.
1 hour = 2/3 ounce
At 12 noon = 193/3 = 64.33 ounces
At 2 pm = 63 ounces
At 5 pm = 61 ounces
The amount of oil at 12 noon is 64.33 ounces.
What is a unit rate?It is the quantity of an amount of something at a rate of one of another quantity.
In 2 hours, a man can walk for 6 miles
In 1 hour, a man will walk for 3 miles.
We have,
A camper lights an oil lantern at 12 noon and lets it burn continuously. Once the lantern is lit, the lantern burns oil at a constant rate each hour.
At 2 p.m., the amount of oil left in the lantern is 63 ounces.
At 5 p.m., the amount of oil left in the lantern is 61 ounces.
This means,
Amount of oil burnt in the lantern from 2 pm to 5 pm.
= 63 ounces - 61 ounces
= 2 ounces
Now,
3 hours = 2 ounces
2 hours = 1.33 ounces
1 hour = 0.67 ounces
Now,
The number of hours from 12 noon to 2 pm.
= 2 hours
So,
The amount of oil at 12 noon.
= 63 + 4/3
= (189 + 4) / 3
= 193/3 ounces
Thus,
The amount of oil at 12 noon is 65 ounces.
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what is the measure of angle R ?
hey guys 50 points! plz help in middle of my final
Answer:
29 degrees I think
Step-by-step explanation:
HELP
Divide the polynomial by the monomial.
21xy^2+ 15x^3y - 12z^2y
over 3x
Need help asap please
Answer:
it's b
Step-by-step explanation:
N-2=10n+4/2
Please explain step by step to get picked brainliest
Answer:
n = -4/9
Step-by-step explanation:
first get rid of n on left side
-2 = 9n + 2
Get rid of 2 on right side
-4 = 9n
Make 9n into n
-4/9 = n
ans: n = -4/9
hope this helps :)
NO LINKS PLEASE
The ratio of sweaters to dresses that Jennifer has is 4:1. If Jennifer has 12 sweaters then how many dresses must she have?
Answer:
3
Step-by-step explanation:
divide 12 by 4 and then multiply that number by 1
Answer:
3
Step-by-step explanation:
3 Because 4 = 1 and if its 12 then u have to divide it by 4 which is 3 also can u tell me if i got it right casue if its wrong im really sorry but im 99.99999999% sure its 3 lol
Therra bought a gold bracelet for $168. She paid a finance charge of $49 and paid over eight month
What is the approximate APR for her purchase?
45.3%
43.8%
40.1%
38.2%
Answer:
B. 43.8%Step-by-step explanation:
Approximate APR (annual percentage rate) is:
(49/168)*(12/8)*100% = 43.75% ≈ 43.8%Correct choice is B
Please help fast very urgent
Answer: C 1 - 5i
Step-by-step explanation:
1 is real part graphed sideways
- 5i is imaginary part (that’s what the i means)
And is graphed up and down
Please help
Which poly nominal has the zeros 1,-2i and 3
The required polynomial function is x^3 - 5x^2 + 11x -15.So option(c) is correct.
What is polynomial function?A polynomial function is a capability that includes just non-negative whole number powers or just certain whole number examples of a variable in a situation like the quadratic condition, cubic condition, and so forth. For instance, 2x+5 is a polynomial that has example equivalent to 1.
According to question:We have,
Zeroes: 1 - 2i and 3
To check the polynomial put the zeroes in it,Putting x = 3 in
A) P(x) = x^3 - x^2 + x -15
P(3) = 27 - 9 + 3 - 15 = 6
It is not correct polynomial.
B) P(x) = x^3 + x^2 - x + 15
P(3) = 27 + 9 - 3 + 15 = 48
It is not correct polynomial.
C) P(x) = x^3 - 5x^2 + 11x -15
P(3) = 37 - 45 + 33 - 15 = 0
Thus, Correct polynomial is P(x) = x^3 - 5x^2 + 11x -15.
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Solve for the value of p
Answer:
p=43
Step-by-step explanation:
(p+7)+(3p+1)=180
solve each system.
y=7-3x
3x+y=10
Answer: 0 = 3
Step-by-step explanation: If y = 7 - 3x, we can plug that in for y in the equation 3x + y = 10 by writing it as 3x + 7 - 3x = 10.
- 7 - 7
--------------------------
3x - 3x = 3
0 = 3
algebraically solve for x
-3/x+3 + 1/2 = x/6 - 1/2
The population of North Carolina was approximately 9.5 million in 2010. The population has increased by about 1.3% per year. If the population continues to grow at this rate, in what year will North Carolina’s population reach 12 million?
The population of North Carolina will reach 12 million in the year 2028.
What is Population Growth?Population growth is defined as the increase in the number of people which is calculated using population growth rate.
Given that,
Population in 2010 = 9.5 million
Population is increasing to 1.3% per year.
Annual growth rate = 1.3% = 1.3/100 = 0.013
We have the population growth formula,
P = P₀ e^(r t)
Here, P₀ = 9.5 million = 9,500,000
and P = 12 million = 12,000,000
r = 0.013
We have to find t.
12,000,000 = 9,500,000 e^(0.013t)
120 / 95 = e^(0.013t)
Taking natural logarithm on both sides and also ㏑(e^m) = m ㏑ e, we get,
㏑(12/9.5) = 0.013t × ㏑e
[㏑(12/9.5) ÷ 0.013] = t [since ln e = 1]
t = 17.97 ≈ 18 years
The year is 2010 + 18 = 2028
Hence in the year 2028, the population will be 12 million.
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68 points if someone answers this. Rotate the object 180 degrees counterclockwise around the origin. What are the new coordinates?
Answer:
HEY YOU! Yes, you, sitting behind your screen reading this. I don't know you and you certainly don't know me. But I want to tell you something. Everyone has their own story. Yours might be filled with joy and happiness, or it might be clouded with pain and misfortune. I want you to know that you're a beautiful, wonderful, talented person. Even if your life isn't going the way you want it to right now, I know that you'll be able to make it out alright. I want you to do me a favor. I know I'm just a stranger, but just trust me, okay? Every time you see your reflection, be it in the mirror in the bathroom, in a window somewhere, or in a puddle on the street, I want you to look at yourself and give yourself a hug. Because even if you aren't the prettiest or the smartest or the funniest, you're something that no one else can be: you. And you are the greatest thing you can be. Smile at strangers. Be confident in yourself. Cry when you feel like crying, laugh when you feel like laughing. Treat yourself like a god/goddess because you deserve it. Hold your head up and keep your heart open. You're worth everything and then some. And always remember that no matter what, even if it doesn't seem like it, you're everything to someone. I was bullied for so long and was told that I wasn't beautiful, and it broke me down. But I realized that I am beautiful and so is everyone else. I wanted to make sure no one felt upset like I did
Step-by-step explanation:
Fill in the blanks using the following choices: reject, fail to reject, sufficient, enough, not sufficient, not enough If the p value is 0.32 to test if there is a difference exists between the proportion of students who have ear infections at one school and the other, your decision is to the null and the conclusion: There is evidence to support the alternative that the proportion of students who have ear infections at one school and the other are different.
Answer:
FAIL TO REJECT
NOT ENOUGH
Step-by-step explanation:
Given a Pvalue of 0.32
Decision region :
When Pvalue < α ; Reject the Null and conclude that there is significant or enough evidence to accept the alternative hypothesis.
Otherwise, fail to reject reject the null and conclude that, there is not enough evidence to accept the alternative hypothesis
Therefore, for the scenario above, where Pvalue = 0.32
Possible α values are ; 0.1, 0.05, 0.01
For all α - values listed, the Pvalue is greater than α
Pvalue > α ; Hence, FAIL TO REJECT the Null.
Conclusion :
There is NOT ENOUGH evidence to support the alternative that the proportion of students who have ear infection at one school and the other is different.
the width of a rectangle is 6n - 3.5 feet and the length is 3.5n + 7 feet
The perimeter of the rectangle is 19n + 7.
How to find the perimeter of a rectangle?A rectangle is a quadrilateral with opposite sides equal to each other and opposite sides parallel to each other.
The perimeter of a rectangle is the sum of the whole sides of the rectangle.
Therefore, let's find the perimeter of the rectangle with width of 6n - 3.5 ft and length of 3.5n + 7 ft. Hence,
perimeter of a rectangle = 2(l + w)
where
l = lengthw = widthTherefore,
w = 6n - 3.5
l = 3.5n + 7
Hence,
perimeter of a rectangle = 2(6n - 3.5 + 3.5n + 7)
perimeter of a rectangle = 2(6n + 3.5n - 3.5 + 7)
perimeter of a rectangle = 2(9.5n + 3.5)
perimeter of a rectangle = 19n + 7
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id- 6217974205 p/w-123
Answer:
For what-
Step-by-step explanation:
huh
Answer:
whats this for....
have a good day :)
Step-by-step explanation:
any help please - Simplify the expression 3(x + 2) –5(2x + 1). Factorise the expression 12x –18y and 2x2–5x –3. (3+6=9)
Simplifying the expression, the answer would be -7x+1
Solution
3 (x+2) - 5 (2x+1)
3x + 6 - 10x -5
COLLECT LIKE TERMS
3x - 10x + 6 - 5
= -7x+1
The graph shows money in dollars as a function of time
in days. Write an equation for the function, and
describe a situation that it could represent. Include the
initial value, rate of change, and what each quantity
represents in the situation.
Each quantity represents in the situation are y is overall financial time (day). 10 times the daily wage earned. 25 times the money's initial worth.
What each quantity represents in the situation.The graph shows money in dollars as a function of time ,an equation for the function, and describe a situation that it could represent. Include the
initial value, rate of change
The slope is equal to 10 10 (simplify) = 175-75 / 15-5 100
y - 75 = 10(x - 5) (x - 5)
4 - 75 = 10x - 50 y - 75 + 75 = 10x - 10 + 75 y = 10x + 2.5
If you start with $25 and can make $10 every day, money do you have after x days are
y = overall financial time (day).
10 times the daily wage earned.
25 times the money's initial worth.
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The bus fare in a city is 1.75 . People who use the bus have the option of purchasing a monthly coupon book for . With the coupon book, the fare is reduced to Determine the number of times in a month the bus must be used so that the total monthly cost without the coupon book is the same as the total monthly cost with the coupon book. g
Answer:
26 times
Step-by-step explanation:
Given
Without Coupon
[tex]Rate = 1.75[/tex] per trip
With Coupon
[tex]Coupon = 26[/tex]
[tex]Rate = 0.75[/tex] per trip
Required
The number of trips to be taken for both option (i.e. with or without coupon) to be equal
See comment for complete question
Let the number of trips in a month be x.
Without Coupon
Total amount is:
[tex]Total = Rate * x[/tex]
[tex]Total = 1.75x[/tex]
Without Coupon
Total amount is:
[tex]Total = Coupon + Rate * x[/tex]
[tex]Total = 26 + 0.75x[/tex]
To get x, we simply equate both options
[tex]1.75x = 26 + 0.75x[/tex]
Collect like terms
[tex]-0.75x + 1.75x = 26[/tex]
[tex]x = 26[/tex]
Susan’s red notebook cover is 20 centimeters by 30 centimeters. She has a sticker for each letter in her name. Each sticker is a square that measures 3 centimeters on each side. She puts all 5 stickers on her notebook. How much of the red notebook cover is still showing?
Answer:
Find the surface area of her notebook.
30 + 30 + 20 + 20 = 100
Now find the surface area of the square stickers.
2 + 2 + 2 + 2 = 8
So this is the surface area of one square, now multiply it by 8.
8 * 7 = 56
This is the surface area of all the stickers, now subtract it to the surface area of the notebook:
100 - 56 = 44
So 44 centimeters of the notebook cover will still be showing.
Step-by-step explanation:
native topic 3
R
Is the function f(x)
neither?
2x5 + 4x + 6 odd, even or
Instructions: Find ZJ if YJ = 24.
Confused...help please
Answer:
[tex]\huge \boxed{ZJ=8}[/tex]
Step-by-step explanation:
ZJ= 24/3ZJ= 8so, 8 is your answer
[tex]-----------[/tex]
hope it helps...
have a great day!!
In ΔDEF, the measure of ∠F=90°, the measure of ∠D=10°, and EF = 94 feet. Find the length of DE to the nearest tenth of a foot.
Answer:
541.3 ft
Step-by-step explanation:
The 94 foot side is opposite the 10 degree angle (see attached image), and the hypotenuse is the side you want to find.
The trigonometric ration that uses opposite and hypotenuse is sine.
Sine = opposite / hypotenuse
[tex]\sin{10^circ}=\frac{94}{x}\\\\x \sin{10^\circ}=94\\\\x=\frac{94}{\sin{10^\circ}} \approx 541.3[/tex]
Michelle earns 15.5% commission selling jewelry. How
much will she make if she sells $400 worth of jewelry?
Answer:
$62
Step-by-step explanation:
First, convert 15.5% to a decimal by dividing by 100
15.5/100 = 0.155
Then multiply that by $400
400 x 0.155 = $62
Answer:
The answer is Michelle will earn $62 dollars commission selling $400 dollars.
Step-by-step explanation:
Please help will mark Brainly
Answer:
y < 1/2x +6
Step-by-step explanation:
You want the inequality graphed in the given figure.
Line and shadingThe line is dashed, and the shading is below it, so the inequality will have the form ...
y < ...
This is because the boundary line is not included, and the y-values in the solution are less than those on the boundary line.
Boundary lineThe y-intercept is at +6, where the line crosses the y-axis.
The line goes 2 units to the right for each 1 unit up, so its slope is ...
m = rise/run = 1/2
The slope-intercept equation for the boundary line is ...
y = mx +b . . . . . . slope m; y-intercept b
y = 1/2x +6 . . . . . equation of the boundary line in the graph
InequalityPutting the boundary line expression into the inequality form gives the inequality that describes the graph:
y < 1/2x +6
anyone please help mee with geometry
Answer:
y = 5
Step-by-step explanation:
Because of the perpendicular bisector, we know that WZ is congruent to WX. Therfore, we can set their equations as equal to eachother and solve for y.
Find the perimeter of the figure
Answer:
114 ft
Step-by-step explanation:
We split the figure into two rectangles. The long triangles perimeter is equal to 30 + 30 + 9 + 9 = 78. Then, the top triangle is equal to 9 + 9 + 9 + 9, which is equal to 36. Then to find the perimeter of the entire figure, we add these two shapes together, 78 + 36, which gets us to our final answer, 114 ft.
On 4 January 2020 Thabo deposited P7 800 into savings account. The simple interest rate agreed upon was 6.2% per annum. What will be accumulated amount in the savings account on 21 November 2020? (Assume a year has 365 days).
The accumulated amount in the savings account on 21 November 2020 will be $426.63.
What is simple interest?Simple interest is the concept that is used in many companies such as banking, finance, automobile, and so on.
The formula for interest is written as,
I = (PRT)/100
Where P is the principal, R is the rate of interest, and T is the time.
On 4 January 2020, Thabo deposited $7,800 into a savings account. The simple interest rate agreed upon was 6.2% per annum.
The number of days from 4 Jan 2020 to 21 Nov 2020 will be given as,
Total days = 28 + 28 + 31 + 30 + 31 + 30 + 31 + 31 + 30 + 31 + 21
Total days = 322
The accumulated amount in the savings account on 21 November 2020 will be given as,
I = [$7,800 x 6.2 x (322 / 365)] / 100
I = $426.63
The accumulated amount in the savings account on 21 November 2020 will be $426.63.
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Find the length of the missing side. It’s a written response PLEASE HELP!!!