Andros has an oil fired heating system. In 30 days period he used a full tank of oil at a constant rate per day . At a different time of the year the amount of oil andros uses per day is 1/3 of the rate used in 30 days period . How many days should a full tank of oil last at this new rate

Answers

Answer 1

Answer:

90 days

Step-by-step explanation:

Let the rate per day for the 30 days period be x

Given that the rate drops to 1/3 of the rate used in 30 days period, it means that the new rate

= 1/3 x

If at a rate of x, the full tank runs for 30 days

at a rate of 1/3 x, the full tank would run for

= x/ (1/3 x) * 30 days

= 3 * 30 days

= 90 days

At the new rate, the full tank of oil will last for 90 days


Related Questions

Write the rational number in decimal form, rounded to
the thousandths: -1/3 =_____

Answers

-0.33 !!!!!!!!!!!!!!!!!!

What is the equation of the line that passes through the point (- 1, 5) and is parallel to the line y = - 3x + 5

Answers

Answer:

         y - 5 = -3(x + 1)

Step-by-step explanation:

Parallel lines has the same slope.

The equation of a line that passing through point (x₁, y₁) with a slope of m is:

y - y₁ = m(x - x₁)

m = -3

(-1, 5)   ⇒  x₁ = -1,  y₁ = 5

Therefore the equation:

y - 5 = -3(x + 1)

44 * 9678 I will mark brainliest

Answers

Answer:

=425832

Step-by-step explanation:

i hope this helps :)

Answer:

425832

Step-by-step explanation:

I was trying as well gg

HELP ASAP WILL GIVE BRAINLYIST IF RIGHT AND EXTRA POINTS

List the simple shapes and to which you divided shape c and Measure their signs right all the measurements in inches


Answers

You have no information about the area or perimeter or any numbers in order to figure out their “measurements”? So I’m not sure exactly what you mean. I do know that shape a and b are squares?

Where my marvel gang at tho?

Answers

Answer:

DC where it at chief, not starting nun just my opinion have a good day

Step-by-step explanation:

here queen/king              

yeah I'll do you one better who's Gamora

Kenny went shopping with Ali and purchased an iPhone that was on sale for 10% off. If he paid $270, what was the original price?

Answers

Answer:

$2700

Step-by-step explanation:

t/3+9=12 ?? no clue how to do

Answers

Answer:

t = 9

Step-by-step explanation:

t/3 = 12 - 9

t = 3 * 3

t = 9

Answer:

t=9

Step-by-step explanation:

t/3+9=12

t/3+9-9=12-9

t/3= 3

3xt/3 = 3x3

t=9

2x +3 =x

solve for x

Answers

Answer:

x = -3

Step-by-step explanation:

2x+3=x

=2x=x-3

=2x-x= -3

= x = -3

i hope this helps :)

Answer:

X=3

Step-by-step explanation:

2x-3=x

what is the reason these triangles are congruent
A. SSS
B. SAS
C. not congruent

Answers

Answer:

SAS because their is 2 lines and 1 lines

The answer is b. sad

Ryan garden is 20 yards wide. there are about 0.914 meters in 1 yard. About how many meters wide is Ryan's garden? (Decimal number only)

Answers

Answer:

the answer would be 18.28

Step-by-step explanation:

if you times 0.914 x 20

which would make 20 yards

because 0.914 is only 1 yard

You’re would be 18.28

can someone help me please ❤️

Answers

Answer:314

Step-by-step explanation:

V=pi r squared

V= 3.14x10 squared

10 squared= 100

V=3.14x 100

V= 314

Sasha makes $5.00 an hour. She needs to make $150 dollars. She
can use this equation to find the number of hours, h, that she needs
to work to earn $150.00.

Answers

Answer:

5h = $150

Step-by-step explanation:

Answer:

150 = 5h

Step-by-step explanation:

h = amount of hours

solve to find amount of hours she needs to work to earn $150

The cost to rent a moving van is $8.85 plus an additiona $20.40 per hour. If a moving van is rented for 2 hours, what is the cost?

Answers

Answer:

49.65$

Step-by-step explanation:

(20.40 x 2) + 8.85 = 49.65 $

2b +4= -8
29 - 6 = 4
3s – 4= 8


can some one pls help me with these 3 question pls ​

Answers

Answer: 2b+4=-8 the answer is -6

Step-by-step explanation: I got this because you subtract 4 from both side which subtract 4 from 4 and subtract -8 from -4 you add those two up because they are both negative which you got -12 so your equation right now is 2b=-12 after that you divide 2 from 2b from both side and your answer is -6. I hope I helped with that one problem

please help thank youuuuu

Answers

Answer:

Y=3x-1

Step-by-step explanation:

Let x =1 then ,Y=(3×1)-1=2

Let x=2 then, Y=(3×2)-1=5

Let x=3 then Y=(3×3)-1=8

Let x=0 then Y=(3×0)-1=-1

please help!! thank you

Answers

Answer: It would be E

Step-by-step explanation:

an evergreen nursery sells a certain shrub

Answers

it sells a douglas fur shrub

Pleaseeeeeeeeeeeeeeeeeeee helppppppppppppppp
At the end of Quarter 1, Winston’s math grade was a 72. He made a goal to improve his grade for Quarter 2 by focusing more in class and on homework. At the end of Quarter 2, Winston’s grade increased to an 80.

By what percent did Winston’s grade improve? show your work!

Answers

Answer:

8%

Step-by-step explanation:

The reason why is his grade is 72% right and it increased to 80%.

Subtract 80 from 72 which equals 8.

How do similar right triangles lead to the definitions of the trig ratios?

Answers

Answer:

The ratio of two sides of one right triangle is the same of the corresponding sides of any its similar triangles. ... Then a/b = A/B, which means that this ratio is a constant. The same for a/c = A/C, and b/c = B/C

Hope it helps

Please mark me as the brainliest

Thank you

We have derived the definitions of the three basic trigonometric ratios sin, cos, and tan using similar right triangles.

What are trigonometric identities?

There are three commonly used trigonometric identities.

Sin x = Perpendicular / Hypotenuse

Cosec = Hypotenuse / Perpendicular

Cos x = Base / Hypotenuse

Sec x = Hypotenuse / Base

Tan x = Perpendicular / Base

Cot x = Base / Perpendicular

We have,

Similar right triangles can be used to derive the definitions of trigonometric ratios, which are commonly abbreviated as sin, cos, and tan.

Consider a right triangle ABC, where angle A is the right angle.

Let's draw another right triangle ABD where angle A is also the right angle and angle B is congruent to angle D.

We say that triangles ABC and ABD are similar, which means that their corresponding angles are congruent and their corresponding sides are proportional.

Let's label the sides of triangle ABC as follows:

The side opposite angle A is side a (the hypotenuse).

The side opposite angle B is side b.

The side opposite angle C is side c.

We can label the sides of triangle ABD as follows:

The side opposite angle A is side a (the hypotenuse).

The side opposite angle B is side x.

The side opposite angle D is side y.

Since triangles ABC and ABD are similar, we can write the following proportion:

b / a = x / y

Solving for b, we get:

b = (x / y) * a

Now, we can use the Pythagorean theorem to relate the sides of triangle ABC:

a² = b² + c²

Substituting b with its value, we get:

a² = ((x / y) a)² + c²

Simplifying, we get:

a² = (x² / y²) a² + c²

Multiplying both sides by y², we get:

a² x y² = x² a² + c² y²

Now, we can solve for x/y, which is equal to sin(B) and y/a, which is equal to cos(B):

sin(B) = x / y = sqrt(a^2 - c^2) / a

cos(B) = y / a = c / a

Similarly, we can consider another triangle ABE, where angle A is the right angle and angle B is congruent to angle E.

We say that triangles ABC and ABE are also similar.

Let's label the sides of the triangle ABE as follows:

The side opposite angle A is side a (the hypotenuse).

The side opposite angle B is side x.

The side opposite angle E is side z.

Using the Pythagorean theorem for triangle ABC, we get:

a² = b² + c²

Substituting b with its value from triangle ABE, we get:

a² = ((z / x) a)² + c²

Simplifying, we get:

a² = (z² / x²) x a² + c²

Multiplying both sides by x², we get:

a² x² = z² a² + c² x²

Now, we can solve for z/x, which is equal to tan(B):

tan(B) = z / x = √(a² - c²) / c

Therefore,

We have derived the definitions of the three basic trigonometric ratios sin, cos, and tan using similar right triangles.

Learn more about trigonometric identities here:

https://brainly.com/question/14746686

#SPJ2

The average response time to a bank robbery is about 9 min. A local community wants to improve on this time, so they implement advanced training seminars. They find that the new response time for a sample of 36 police officers is 8+4.2 (M SD) min. Test whether this advanced training seminar reduced response time at a.05 level of significance. A. This advanced training seminar significantly reduced response time, t(35) 11.43,p <.05 B. This advanced training seminar significantly reduced response time, (35)1.43, p < .05 C. This advanced training seminar did not reduce response time, t(35)--1.43, p> .05. D. There is not enough information to answer this question.

Answers

Answer:

The correct option is;

C. This advanced training seminar did not reduce response time, t(35) = -1.43, p > 0.05

Step-by-step explanation:

The given parameters are;

The population mean response time, μ = 9 minutes

The number of police officers in the sample, n = 36

The mean response time after the training, [tex]\overline x[/tex] = 8 minutes

The standard deviation of the response time after the training, s = 4.2 minutes

The level of significance, α = 0.05

The null hypothesis; μ ≥ 9

The alternative hypothesis; μ < 9

The test statistic for the t-test is [tex]t=\dfrac{\bar{x}-\mu }{\dfrac{s}{\sqrt{n}}}[/tex], therefore, we get;

[tex]t=\dfrac{8-9 }{\dfrac{4.2}{\sqrt{36}}} \approx -1.42857142857[/tex]

The degrees of freedom, df = n - 1 = 36 - 1 = 35

The critical-t at 0.05 level of significance is critical-t = 1.69, p(t < -1.43) > 0.05

and, we fail to reject the null hypothesis, therefore, the advanced training did not reduce the response time

Dumisani earns R42480 per month. He splits his earnings in the ratio 7:5 and then saves the lesser amount. How much does he save?

Answers

Answer:

R17700

Step-by-step explanation:

Dumsani earns R42480 per month. He splits his earnings in the ratio 7:5 and then saves the lesser amount. How much does he save?

First step

We are given the ratio 7:5

The sum of the proportion = 7 + 5 = 12

We are told that he saves the lesser amount

The lesser ratio = 5

Therefore, the amount he saves is

= 5/12 × R42480

= 5 × 3540

= R17700

Therefore, he saves R17700

If a person in a wheelchair wanted to get to the second story of a two-story building, would it be easier to take a short, steep ramp or a long, shallow ramp?

Answers

Answer:

the long one because of the friction and you can gain speed the second way

Step-by-step explanation:

Jordan wants to play a basketball game at a carnival. The game costs the player $ 5 $5dollar sign, 5 to play, and the player gets to take two long-distance shots. If they miss both shots, they get nothing. If they make one shot, they get their $ 5 $5dollar sign, 5 back. If they make both shots, they get $ 10 $10dollar sign, 10 back. Jordan has a 40 % 40%40, percent chance of making this type of shot. Here is the probability distribution of X = X=X, equals the number of shots Jordan makes in a randomly selected game, and M = M=M, equals the amount of money Jordan gains from playing the game. X = # of shots made X=# of shots madeX, equals, \#, start text, space, o, f, space, s, h, o, t, s, space, m, a, d, e, end text 0 00 1 11 2 22 M = money gained M=money gainedM, equals, start text, m, o, n, e, y, space, g, a, i, n, e, d, end text − $ 5 −$5minus, dollar sign, 5 $ 0 $0dollar sign, 0 $ 5 $5dollar sign, 5 Probability 0.36 0.360, point, 36 0.48 0.480, point, 48 0.16 0.160, point, 16 Calculate the mean of X XX. μ X = μ X ​ =mu, start subscript, X, end subscript, equals shots made

Answers

The mean is the average of the numbers divided by the total number of variables, and the further calculation can be defined as follows:

Calculating the Mean of X:

[tex]= \sum X \times p(X)[/tex]

[tex]= 0\times 0.36 + 1 \times 0.48 + 2 \times 0.16\\\\= 0 + 0.48 + 0.32\\\\=0.80\\\\[/tex]

Therefore, the final answer is "0.8".

Learn more:

brainly.com/question/9087018

Answer:

-1 dollars

Step-by-step explanation:

Which is the best description of triangles ABC and DEF?

2 similar triangles labeled ABC and DEF are shown. Side AB is 3 centimeters, side AC is 5 centimeters, and side BC is 2 centimeters. Side DE is 4 point 5 centimeters, side DF is 7 point 5 centimeters, and side EF is 3 centimeters.
A. They are congruent, but not similar.
B. They are similar, but not congruent.
C. They are neither similar nor congruent.
D. They are both similar and congruent.

Answers

Answer:

B. They are similar, but not congruent.

Step-by-step explanation:

Use the distance formula to find the distance between the points
(-4,-4) and (4, 4).

Answers

Answer:

[tex]\displaystyle d = 8\sqrt{2}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Coordinates (x, y)

Algebra II

Distance Formula: [tex]\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Step-by-step explanation:

Step 1: Define

Point (-4, -4)

Point (4, 4)

Step 2: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d

Substitute in points [Distance Formula]:                                                         [tex]\displaystyle d = \sqrt{(4+4)^2+(4+4)^2}[/tex][Distance] [√Radical] (Parenthesis) Add:                                                         [tex]\displaystyle d = \sqrt{(8)^2+(8)^2}[/tex][Distance] [√Radical] Evaluate exponents:                                                     [tex]\displaystyle d = \sqrt{64+64}[/tex][Distance] [√Radical] Add:                                                                               [tex]\displaystyle d = \sqrt{128}[/tex][Distance] [√Radical] Simplify:                                                                        [tex]\displaystyle d = 8\sqrt{2}[/tex]

What is the answer for cos(43) = sin(?)

Answers

Answer:

Step-by-step explanation:

cos 43=cos (90-47)=sin 47

Mr. Powell has a box that weighs 16 pounds. What is the weight of this box in ounces? A. 1 oz. B. 16 oz. C. 64 oz. D. 256 oz.

Answers

Answer:

256oz

Step-by-step explanation:

D.

hope this helps have a nice day

Answer:

Option D) 256 oz.

Step-by-step explanation:

Passed the test on T4L 2023 :) Hope this helped

find the value of x..

Answers

Answer:

The answer is 116

Step-by-step explanation:

Because this shape is a quadrilateral, so the sum of the angles of a quadrilateral is a total of 360 degrees. So i added 90 + 90 + 64 = 244. And 360 - 244 = 116.

Answer:

116°

Step-by-step explanation:

There are 2 right angles so we add them:

1 right angle = 90°

2 right angle: 90° + 90° = 180°

As we can we have another value which is 64° so we add that as well:

180° + 64° = 244°

Since it is a 4-sided shape all the values will add up to 360°

Subtract 360 and 244

360° - 244° = 116°

x = 116°

Hope this helps

What is the slope of 4,17 and 1,8

Answers

Answer:

Slope (m)= 3

Step-by-step explanation:

m= (Y2-Y1)/(X2-X1)

m= (17-8)/(4-1)

m= 9/3

m=3

What date would be four months prior to January 31st?

No links, No free point's. Please just Fr answer.

1.Sept 20th

2.Sept 28th

3.Sept 30th

Which is the correct answer?

Answers

Answer:

sept 30

Step-by-step explanation:

Other Questions
Propose TWO practical solutions that a learner can use to resolveconflict with their friends What is the value -5(-2) The university of Toronto has about 91,000 student registered. If this number is rounded to the nearest thousandth, which of the following is a possible number of students? Answer ASAP please!A. 92,392B. 90,439C. 91,142D. 91,984 Which of the following events occurred in theGulf of Tonkin in the 1960s?A. A Russian airplane was attacked by Japan.B. A U.S. warship was attacked by the Viet Cong.C. A French submarine was attacked by Afghanistan. The speed of sound through air at 20C is 343 meters per second. The speed of sound through fresh water at 20C is 1,482 meters per second.Which of the following could be the speed of sound through solid steel? A. 1,370 meters per second B. 353 meters per second C. 5,960 meters per second D. 145 meters per second The population of a school is 800 and is decreasing at a rateof 2% per year; 4 years In this arithmetic sequence 3, 8, 13, 18, ... which term has the the value 123?2524617613 The number pattern shows a skip-counting rule. 5,20,35,50,65. Which number pattern follows the same rule? two reasons why we should be obidient to our teachers The Coast Guard had been monitoring the strong winds and high waves. The Coast Guard Cutter Florida was headed toward the beach to warn swimmers about the danger. They were ready to post red flags warning of a strong undercurrent. Over the summer, many swimmers had been rescued. The coastal beachfront was especially prone to a strong undercurrent because of the Gulfstream. Several guard members on the boat watched the scene unfold as the cutter headed toward shore. They saw two surfboarders heading toward a small raft with a young child inside. The raft was close to flipping over.Several guard members on the boat watched the scene unfold as they headed toward the shore.What implicit idea is expressed in this sentence? What psychiatric disorders and/or symptoms is Lamictal indicated to treat? What phase of bipolar (manic, mixed, or depressed) is Lamictal most effective in managing? How does Lamictal work and what is the mechanism of action? What is the dosing titration schedule for Lamictal? In June 1941, the Nazi army invaded Russia, leading to the Battle of Stalingrad. The Germanswould eventually be defeated due to starvations, illness, and frostbite. During this invasion, theSoviets ended their nonaggression pact with Germany and joined:a. The Axis Powersb. Italy and Germanyc. The Allied Powersd. France and Switzerland According to the Roman Historian Livy, what is NOT an advantage of location of Rome as a city.O A central location in ItalyO Access to valuable metals such as goldO Access to the sea for commerce from abroadO Produce provided by the inland regions along the Tiber River can someone help me with this and show me the steps if you don't mind Nathan is going to invest in an account paying an interest rate of 4.8% compounded continuously. How much would Nathan need to invest, to the nearest ten dollars, for the value of the account to reach $1,310 in 13 years? Find the surface area of a cube with sides = 9 inches. Think about finding area of 1 face and then multiplying by 6. Are these ratios equivalent?6 men to 7 women 12 men to 14 women Lines A and B parallel lines cut by the transversal c. If the measure of angle 5 is 123, what is the measure of angle 1?Will mark b if correct:) real ans only fast plzzno wrong ok The perimeter of a rectangle is30m. The length of the rectangle is3 m more than twice the width. Findthe dimensions of the rectangle a. 3m x 12mb 4m x 11mc 8m x 7m d 6m x 9m