All categories

4 years ago

One tank is filling at the rate of 3/4 gallon / 2/3 minute a second tank is filling at the rate of 3/8 gallon per 1/2 minute whi

ch tank is filling faster equation

Mathematics

1 answer:

eduard4 years ago

7 0

$\bf \cfrac{\quad \stackrel{gallons}{\frac{3}{4}}\quad }{\stackrel{minutes}{\frac{2}{3}}}\implies \cfrac{3}{4}\cdot \cfrac{3}{2}\implies \cfrac{9}{8}~g/m
\\\\\\
\cfrac{\quad \stackrel{gallons}{\frac{3}{8}}\quad }{\stackrel{minutes}{\frac{1}{2}}}\implies \cfrac{3}{8}\cdot \cfrac{2}{1}\implies \cfrac{3}{4}~g/m\\\\
-------------------------------$

$\bf \cfrac{3}{4}\cdot \cfrac{2}{2}\implies \cfrac{6}{8}\quad \textit{clearly then }\cfrac{9}{8}\textit{ is larger than }\cfrac{6}{8}
\\\\\\
\stackrel{\stackrel{tank's~volume}{gallons}}{y}=\cfrac{9}{8}\stackrel{minutes}{x}$

You might be interested in

(Will give Brainliest/5 Stars if correct answer)

tensa zangetsu [6.8K]

Answer: Choice D)
The angle between the two vectors is approximately 71.6 degrees

----------------------------------------------
----------------------------------------------

Work Shown:

Each time I write the word "dot" I mean "dot product".

|u| = length of vector u
|u| = sqrt(u dot u)
|u| = sqrt(<8,4> dot <8,4>)
|u| = sqrt(8*8 + 4*4)
|u| = sqrt(64 + 16)
|u| = sqrt(80)
|u| = sqrt(16*5)
|u| = sqrt(16)*sqrt(5)
|u| = 4*sqrt(5)

-----------------------

|v| = length of vector v
|v| = sqrt(v dot v)
|v| = sqrt(<9,-9> dot <9,-9>)
|v| = sqrt(9*9 + (-9)*(-9))
|v| = sqrt(81+81)
|v| = sqrt(2*81)
|v| = sqrt(2)*sqrt(81)
|v| = sqrt(2)*9
|v| = 9*sqrt(2)

-----------------------

u dot v = <8,4> dot <9,-9>
u dot v = 8*9 + 4*(-9)
u dot v = 72-36
u dot v = 36

-----------------------

cos(theta) = (u dot v)/(|u|*|v|)
cos(theta) = (36)/(4*sqrt(5)*9*sqrt(2))
cos(theta) = (36)/(36*sqrt(10))
cos(theta) = 1/(sqrt(10))
cos(theta) = sqrt(10)/10
theta = arccos(sqrt(10)/10)
theta = 71.56505
which rounds to 71.6 when rounding to one decimal place (nearest tenth)

That's why the approximate answer is roughly 71.6 degrees

7 0

3 years ago

Sophia buys an apple that weighs 0.45 pound, a grapefruit that weighs pound, a navel orange that weighs pound, and a pear that w

Tanzania [10]

Answer:

The order of fruit from least to greatest weight is -

Apple , pear, navel orange, grapefruit

Step-by-step explanation:

P.S - The exact question is -

Given - Sophia buys an apple that weighs 0.45 pound, a grapefruit that weighs $\frac{3}{4}$ pound, a navel orange that weighs $\frac{5}{8}$ pound, and a pear that weighs 0.5 pound.

To find - What is the order of the fruit from least weight to the greatest weight ?

Proof -

Weight of apple = 0.45 pound

Weight of grapefruit = $\frac{3}{4}$ pound = 0.75 pound

Weight of navel orange = $\frac{5}{8}$ pound = 0.625 pound

Weight of a pear = 0.5 pound

As,

0.45 < 0.5 < 0.625 < 0.75

So, The order of fruit from least to greatest weight is -

Apple , pear, navel orange, grapefruit

8 0

3 years ago

PLZ HELP!!!!

kherson [118]

Answer:

a=1 b=4 c=-5

Step-by-step explanation:

7 0

2 years ago

It has been estimated that 72.7% of alcoholics need professional help to stop drinking. What is the probability that a random al

Svetradugi [14.3K]

The probability that a random alcoholic can kick the habit without professional help is 0.273 .

<h3>What is Probability ?</h3>

Probability is the study of likeliness of an event to happen.

It has a range of 0 to 1 , where 0 indicates uncertainty and 1 indicates certainty.

It is given that

The alcoholics that need professional help to stop drinking is 72.7 %

Therefore the probability of this is 72.7 /100 = 0.727

The probability that they will not need professional help is given by

q = 1 - p

q = 1 -0.727

q = 0.273

Therefore the probability that a random alcoholic can kick the habit without professional help is 0.273 .

To know more about Probability

brainly.com/question/11234923

#SPJ1

5 0

2 years ago

Explain what each of the following sample correlation coefficients tells you about the relationship between the x and y values i

Alchen [17]

Answer: The description are as follows:

Step-by-step explanation:

Correlation coefficients is a statistical measure that measures the relationship between the two variables.

(a) r = 1, it means that there is a Perfect positive relationship between the two variables. If there is positive increase in one variable then other variable also increases with a fixed proportion.

(b) r = -1, it means that there is a perfect negative relationship between the two variables. If there is positive increase in one variable then other variable decreases with a fixed proportion.

(d) r = 0.86, this is a situation which shows that there is a fairly strong positive relationship between the two variables.

(e) r = 0.06, it is nearly zero which represents that either there is a very minor positive relationship between the two variables or there is no relationship between them.

(f) r = -0.89, this is a situation which shows that there is a fairly strong negative relationship between the two variables.

6 0

3 years ago