a gasoline pump delivers 4 2/5 gallons of gas per minute. how many minutes will it take to fill a gas tank that holds 16 1/2 gallons?

Answers

Answer 1
Answer:

The number of minutes will it take to fill a gas tank that holds  16(1)/(2) gallons is 3 (3)/(4).

Given that, a gasoline pump delivers 4 (2)/(5) gallons of gas per minute.

What is the unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

A gas tank that holds 16(1)/(2) gallons

Time taken to fill the gas tank

= 16(1)/(2) / 4(2)/(5)

= 33/2 ÷ 22/5

= 33/2 × 5/22

= 3/2 × 5/2

= 15/4

= 3 (3)/(4)

Therefore, the number of minutes will it take to fill a gas tank that holds  16(1)/(2) gallons is 3 (3)/(4).

To learn more about the unitary method visit:

brainly.com/question/22056199.

#SPJ2

Answer 2
Answer: 22/5 g...................1 min
33/2 g ..................x min

=> x = (33/2) :(22/5) => x = 15/4 = 3 3/4 min;

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The Mill Valley Brewery produces 32 ounce bottles of beer. The Bureau of Weights and Measures randomly selects 50 of these bottles, measures their contents, and obtains a sample mean of 31.8 oz and a sample standard deviation of 0.75 oz. At the 5% level, is there evidence that Mill Valley Brewery is cheating customers by under-filling their bottles?

Answers

Answer:

Since the calculated Z= -1.886 lies within the Z∝ = ± 1.96 we fail to reject our null hypothesis  that population mean is 31.8 oz. and not 32 ounces. There is evidence that Mill Valley Brewery is cheating customers by under-filling their bottles.

Step-by-step explanation:

Let the null hypothesis be

H0 : u = 31.8 oz    against  Ha: u ≠ 31.8 oz  two tailed test

For a two tailed test and alpha = 0.05 the z∝ = ± 1.96

The rejection region is Z ≥  ± 1.96

Here n = 50  

sample mean = x= 31.8 oz

and  sample standard deviation= s= 0.75

Population mean= u= 32

Test statistics to be used is

Z= x- u / s/ √n  which is approximately normal

Z= 31.8-32/0.75/ √50

z= -1.886

Since the calculated Z= -1.886 lies within the Z∝ = ± 1.96 we fail to reject our null hypothesis  that population mean is 31.8 oz. and not 32 ounces. There is evidence that Mill Valley Brewery is cheating customers by under-filling their bottles.

In ΔOPQ, p = 180 inches, q = 120 inches and ∠O=171°. Find the length of o, to the nearest inch.

Answers

Given:

In ΔOPQ, p = 180 inches, q = 120 inches and ∠O=171°.

To find:

The length of o, to the nearest inch.

Solution:

According to cosine formula,

a^2=b^2+c^2-2bc\cos A

Using cosine formula in ΔOPQ, we get

o^2=p^2+q^2-2pq\cos O

On substituting the values, we get

o^2=(180)^2+(120)^2-2(180)(120)\cos (171^\circ)

o^2=32400+14400-43200(-0.9877)

o^2=46800+42668.64

o^2=89468.64

Taking square root on both sides.

o=√(89468.64)

o=299.113

o\approx 299

Therefore, the length of o is about 299 inches.

Answer:299

Step-by-step explanation:

Let f(x) = 2x + 5. Simplify: f^-1(f(4))

1/13
-13
13
31
4

Answers

f(x) = 2x + 5

x = 4

f(4) = 2(4) + 5
f(4) = 8 + 5
f(4) = 13

f^-1(f(4)) = 1 / 2(4) + 5 = 1 / 8 + 5 = 1/13

Solve the proportion x/2=5/15

Answers

(x)/(2)= (5)/(15)

x= (5)/(15)(2)

x= (2)/(3)


(x)/(2)= (5)/(15) \n  \n ((2)x)/(2)= ((2)5)/(15)  \n  \n x= (10)/(15)= ((5)2)/((5)3) \n  \n \boxed { x= (2)/(3) }

Since slope is calculated using the formula m = StartFraction v 2 minus v 1 Over x 2 minus x 1 EndFraction, the slope of both lines is equivalent to ________. It is given that the lines are parallel, and we calculated that the slopes are the same. Therefore, parallel lines have the same slopes.

Answers

Answer: z-v/x-w

Step-by-step explanation: just did the test with this question and it’s right :)

Final answer:

Parallel lines have the same slopes.

Explanation:

The subject of this question is Mathematics as it involves calculating slopes using a formula.



Slope is calculated using the formula m = (v2 - v1) / (x2 - x1). When two lines are parallel, their slopes are equivalent, meaning that they have the same slope. This is because parallel lines have the same steepness or inclination.



For example, if Line A has a slope of 2 and Line B is parallel to Line A, then Line B will also have a slope of 2.

Learn more about Slope of parallel lines

To the lovers of math: challenge : please helpA company manufactures high-powered fountains that can be used to create elaborate water shows set to light and music.The company makes three models of
fountains, each of which can launch a vertical stream of water to a different height, as indicated in the table below. Model A Model B Model C
height 77 100 240
time to fall (s) 2.194, ----, ---- 
initial velocity 70.2 , ----, 123.9
complete the following tasks, filling in the missing values in the table as you find them:(1)Find the time water would take to fall from each height in the table back to its starting level.(2)Find the initial upward velocity required for fountain B to launch the water to its maximum height(3)Create a function that will give you the minimum initial upward velocity ,v ,required to launch water to any given height , h. thank you

Answers

I am only in the seventh grade so it might not be right, but this is what I would do:

Set up a proportion: 77/2.194/70.2 = 100/x/y = 240/z/123.9

Then solve for x: if 77 equals 100, that means 2.194 is 77% of x. So x equals 2.849350649

*the 350649 repeats

Then solve for y: Like mentioned before 70.2 is going to only be 77% of y, so if you set that up in a proportion, it is: 70.2/77 = y/100. So when you solve you get 91.16883116883117...

Then finally we solve for z: 100 is only 41.6% of 240, so that means 2.849350649 is only 41.6% of z. So then we set it up as a proportion: 141.6/100 = z/2.849350649, then we solve. It equals 4.034680518984.

Sorry if my answer was redundant, but hope this helped!