A ​-gallon ​[gal] quantity of molten​ (liquefied) plastic is going to be used to make a​ 1-foot [ft] by​ 8-inch [in] plastic block. If liters​ [L] of the plastic is lost in the manufacturing ​process, how thick is the final plastic​ block, in units of inches ​[in]​?

Answers

Answer 1

Answer:

x  = 1,77 in

Step-by-step explanation:

Total volume of molten plastic to make  a block is

1 [gal] - 1 L (lost in the process)  =  3,7854 - 1  =  2,7854

Now the volume of the block is:

1 foot  * 8 inches * x ( thick of the block )

1 foot is 0,3048 meter  and 1 inch is 0,0254 meter

Then  in m³  the volume of the block is

0,3048 * 8 * 0,0254 * x  =  0,06193536 * x  [ m³ ]

That volume should be equal to  2,7854 / 1000

Therefore

 0,06193536 * x  = 2,7854 / 1000        x in m³

x = 2,7854 /61,93536  m

x  =  0,044972  m      and    1 m  =  39,37 in

x  = 1,77 in


Related Questions

Find the additive inverse of 0.25​

Answers

0.25 + additive inverse = 0
Subtract 0.25 from both sides
Additive inverse = -0.25
Here is the answer to your question

Someone help me out with this

Answers

Answer: x = 10

Explanation: The bottom left angle is 90 degrees because of the symbol. ( Make sure you know this for future problems.) The whole triangle needs to add up to 180. This isn’t the right way to solve this kind of problem but I know how to solve it using this way and I know the at 10 is the right answer. The other two angles need to add up to 90 because 90 + 90 = 180. So basically I just substituted the same number into x until I added both outcomes and got 90. I hope you understand that cause I don’t really know how to explain it well. Let me try and show you.

3(x)+5 6(x)-5

Now you have to plug in the same number for x until both numbers add to ninety.

3(5)+5 6(5)-5.

( 5 isn’t the right number for x this is just an example. )

You end up with 20 for the first one, and 25 for the second one. 20 + 25 = 45 and 90 + 45 is only 135. So this means that 5 isn’t the right answer and you need to substitute a higher number in for x.

3(10)+5 6(10)-5

( This is the right setup. )

You end up with 35 for the first one and 55 for the second one after you distribute and solve. Now you have 35 and 55. 35 + 55 = 90 and 90 + 90 = 180. This is how you know that you are right. I hope this helps. :)

The ratio of boys to girls in a classroom was 9:8. Half of the girls left the classroom, and then there were 15 more boys than girls. Part i.) How many children were in the classroom in the beginning?

Answers

Answer:

i pretty sure it's 17

Step-by-step explanation:

Answer:

17

Step-by-step explanation:

To rent a meeting room a college charges a reservation fee of $14 an additional fee of four dollars per hour. The chemistry club wants to spend less than $50 in renting a room. What are the possible numbers of ours a chemistry club could rent the meeting room?

Answers

They can rent a meeting room for 8 hours

Look at the figure. Find the value of x?

Answers

Answer:

since they both bisect themselves it means they are equal

i.e 3x=5x-30

3x-5x=-30

-2x=-30

minus cancels minus

2x=30

x=15

Answer:

x = 15

Step-by-step explanation:

3x = 5x - 30

-2x = -30

x = 15

Answer asap. Just the image below.

Answers

Answer:

x>9

Step-by-step explanation:

Remark

You have to watch this question when you divide by a minus. We should try to eliminate that possibility.

Equation

7 - 2/3 x < x - 8             Add 2/3 x to both sides

7 < x + 2/3 x - 8            Combine the like terms on the right.

7 < 1 2/3 x - 8                Add 8 to both sides

7 + 8 < 5/3 x                 Combine the left

15 < 5/3  x                    Multiply both sides by 3/5

15*3/5 < 5/3*3/5 x

9 < x

Since all the answers have the x on the left, we have to put this answer so that x is on the left. Be very careful. The big end of the arrow is towards the x. We have to make sure it stays that way.

x > 9

The answer is A

sisktzkyzktRkzkKKRpyxdypzoyzitzotkg​

Answers

(Y2-y1)/(x2-x1) = gradient
Pick two points: (2,6), (4,8)
(8-6)/(4-2) = 2/2 = 1
The gradient is 1

A cardiologist is interested in the average recovery period for her patients who have had heart attacks. Match the vocabulary word with its corresponding example.

Answers

Answer:

1. All heart attack patients that the cardiologist has cared for or will care for in the future ⇒ B. POPULATION (entire group of individuals from where the sample must be chosen)

2. The 32 heart attack patients who were observed by the cardiologist ⇒ D. SAMPLE (the group that was observed)

3. The average recovery time for all heart attack patients that the cardiologist has or will treat ⇒ A. PARAMETER (the mean of the whole population)

4. The average recovery time for the 32 heart attack patients ⇒ E. STATISTICS (the mean of the sample)

5. The recovery time for a heart attack patient ⇒ F. VARIABLE  (the data's attribute or value)

6. The list of all 32 heart attack patients' recovery times ⇒ C. DATA (information collected form the sample)

If ex + e⁻¹= 2, then x =..

Answers

Answer:

[tex] \rm x = \dfrac{2e - 1}{ {e}^{2} } [/tex]

Step-by-step explanation:

[tex] \rm Solve \: for \: x: \\ \rm \longrightarrow ex + {e}^{ - 1} = 2 \\ \\ \rm \longrightarrow e x + \dfrac{1}{e} = 2 \\ \\ \rm Subtract \: \dfrac{1}{e} \: from \: both \: sides: \\ \rm \longrightarrow e x + \dfrac{1}{e} - \dfrac{1}{e} = 2 - \dfrac{1}{e} \\ \\ \rm \longrightarrow ex = \dfrac{2e}{e} - \dfrac{1}{e} \\ \\ \rm \longrightarrow ex = \dfrac{2e - 1}{e} \\ \\ \rm Divide \: both \: sides \: by \: e: \\ \rm \longrightarrow \dfrac{ex}{e} = \dfrac{2e - 1}{e \times e} \\ \\ \rm \longrightarrow x = \dfrac{2e - 1}{ {e}^{2} } [/tex]

which of the equations is the correct representation of the following?
six is the product of two consecutive integers

x(x+1)=16

x+(x+1)=6

x(x-2)=6

x(x+1)=6​

Answers

Answer:

x(x+1)=6​

Step-by-step explanation:

6= 2 numbers, one after the other, so you have the same number and add 1 to make the second number.

Example:

6=2.5 and 3.5

Answer:

X * (x+1) = 6

Step-by-step explanation:

Can someone please help me and tell me if this is correct or no I’ll give brainliest
Please be honest

Answers

Answer: B

Step-by-step explanation: i googled it

Carlos deposited $7,924 into a savings account 30 years ago. The account has an interest rate of 4.6% and the balance is currently $30,541.83. How often does the interest compound?

Answers

Answer:

n = 1, this means the interest compounds ANNUALLY.

Step-by-step explanation:

Carlos deposited $7,924 into a savings account 30 years ago. The account has an interest rate of 4.6% and the balance is currently $30,541.83. How often does the interest compound?

Compound Interest Formula

: A = P(1 + r/n)^nt

A = Amount after time t

P = Principal (Initial Amount Invested)

r = Interest rate

n = Number of times the interest is compounded

t = time in years

A = $30,541.83

r = 4.6% = 0.046

t = 30

P = $7,924

Hence,

$30,541.83 = $7924(1 + 0.046/n)^30n

Divide both sides by 7924

$30,541.93/$7924 = (1 + 0.046/n)^30n

$30,541.93/$7924 = (n + 0.046/n)^30n

3.8543576477 = (n + 0.046/n)^30n

We take the logarithm of both sides

log 3.8543576477 = log (n + 0.046/n)^30n

Solving for n,

n = 1

Therefore, from the calculation above, since n = 1, this means the interest compounds ANNUALLY.

Which equation has a slope of -2 and passes through the point (1,-6)?
A. y=-2x-4
B. y=-10x+3
C. y=3x-10
D. y=3x+10

Answers

Answer:

y=-2x-4

Step-by-step explanation:

Given that,

Slope, m = -2

It passes through the point (1,-6).

We need to find the equation of line that passes throgh the given point. It can be calculated as:

[tex]y-y_1=m(x-x_1)[/tex]

Put y₁ = -6, x₁ = 1 and m = -2

[tex]y-(-6)=(-2)(x-1)\\\\y+6=-2x+2\\\\y+2x+6-2=0\\\\y=-2x-4[/tex]

Hence, the equation of line is y=-2x-4.

Please answer this simple math question(CLICK TO SEE PICTURE) ITS MULTIPLE CHOICE. Answers are not exact! (it's not the one I chose) TY!

Answers

The one worth $10 because it’s the most reasonable estimate,

WILL GIVE BRAINLIEST! What is the constant of proportionality between cups of rice and cups of water shown in this table?
Cups of Rice Cups of Water
1 1.5
2 3
3 4.5
4 6
5 7.5

1.5
0.5
2
This is a trick question as this is not proportional.
None of the Above

Answers

Answer:

E (none of the above)

Step-by-step explanation:

1 = k(1.5)

2 = k(3)

Therefore, k = 2/3

and when we put k = 2/3 into all values in the table we notice it is right

but it could be "A" also if the relationship was cups of water to cups of rice

The equation of the line that passes through points (0, negative 7) and (2, negative 1) is shown below. What value is missing from the equation?


y = _______x – 7

Answers

Answer:

1/3

Step-by-step explanation:

2-0=2

-1 - -7 = 6

2/6. = 1/3

The table shows the highest and lowest golf scores for your cousin and your friend over the summer. Find the ranges of golf scores for your cousin and your friend. Who has the greater range of scores?

highest +6, +3
lowest -2, -3

Answers

Answer:

Cousin has a greater range of score.

Step-by-step explanation:

Range = Highest No. - Lowest No.

Range of cousin's score = +6 - (-2)

                                        = +6+2 = 8

Range of friend's score = -2 - (-3)

                                       = -2 + 3  = 1

Cousin has a greater range of score.

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AnonymousHelper1807

Ashe feels she needs $45,000 per year in retirement. If she receives $2,500 a month from Social Security, at what interest rate must Asha invest her $250,000 of savings for her income to be AT LEAST $45,000 per year? PLEASE HURRYYY

Answers

Answer:

15,000 from her savings

Step-by-step explanation:2,500*12=30,000  45000-30,000=15,000

Noah is thinking of two fractions that have a sum of 35. Each fraction has a numerator of 1.
What are the denominators of the fractions?

Answers

Answer:

2 and 10

Step-by-step explanation:

What is the remainder after you divide 7*7*7... 124 times by 4

Answers

Answer:

1

Step-by-step explanation:

Remainder if 7*7*7... 124 times is divided by 4

The remainder when (7^124) / 4

Using python console:

a = 7**124

b = 4

c = a%b

print(c)

Output = 1

Hence, the remainder when 7^124 is divided by 4 is 1

Find tan θ if sec θ = root 37/6 and sin θ < 0

Answers

hey love, that question has already been answered. Type this into the brainly search bar: Find tan θ if sec θ = square root of thirty seven divided by six and sin θ < 0

The sum of two numbers is 17. The difference of the numbers is 3

Answers

10 and 7 are the correct answers!

can somone help me please

Answers

Answer:

The slides is 36 and the angle is 180.

Step-by-step explanation:

14.4m+15.6m+6m=36

90+30+50=180  

If they ask why it is 180 because when adding all the angles it has to give you a total of 180.

12 = -4(-6x - 3)

What does x=

Answers

Answer:

x=0

Step-by-step explanation:

Answer:

x=24

Step-by-step explanation:

12= -4(-6x-3)

12=24x+12

-24x= 12-12

-24x=0

X=24

EXPONENTIAL FUNCTION
Evaluate the following:
1.) 2^-3
2.) 5^-3
3.)6^-6
4.) (5/2)^-2
5.) (7/3)^-3

Answers

Divide by negative = 1/x^|exponent|
1) 1/2^3 = 0.125
2) 1/5^3 = 0.008
3. 1/6^6 = 2.143
4. 1/(5/2)^2 = 0.16
5. 1/(7/3)^3 = 0.079

pls pls help it closes in 40 minutes pls tell me how you got your answers ty
picture included

Answers

Step-by-step explanation:

u just have to draw a graph nd start at -2 which goes down -2 twice then go up 4 over 1 nd u just connect the lines nd find the slope of the lines that's how I learned it

Answer:

Hi, I'm not sure how to answer number 1 or 2 but here are my answers for 3-6

Step-by-step explanation:

3) 2

My work: y+3=2(x-2)

                y+3=2x-4

                 y=2x-7

4) (2,25)

My work:

y-1=3(x+6)y-1=3x+18y=3x+19y=3(2)+19y=6+19y=25(2,25)

5) 1/8

6) -7

Ima be doing this for the whole form sorry I’m failing math

Answers

Slope (m) = y/x = -3/2 = -1.5

Answer:

4,0 2,3 ans solutions this may help

Arthur tells you that he is thinking of an irrational number between 4 and 5, and he wants you to guess what it is. One possibility you could guess is _____.

Answers

Answer:

An example of an irrational number between 4 and 5 is √20 which is simply 2√5

Step-by-step explanation:

Here, we want to look for an irrational number between 4 and 5

Mathematically, irrational numbers can be represented as a sure

So in this case , a value of this between 4 and 5 is √20 which can be written as 2√5

Answer: ^(20)

Step-by-step explanation:

The square route of ^(20) is, 4.472135954999579; that is between 4 and 5

Write an equation in standard form of the line shown.

Answers

Answer: y= -2x + 4

Hope this helps.

Answer: -2+4x
Explanation: You have to find your slope first in order to put it into standard form. What you have to do to find your slope is y1-y2/x2-x1 so you plug your points into that formula and have 0-2/2-1 which equals -2, so your slope is -2. You now have to put this into standard form, the easy way of doin this is y=mx+b, you have to find b so to do so you have to plug your numbers in from only one pair of points. We’ll use (2,0) so then you’ll have 0=-2(2)+b, we multiply -2*2 and get 4 and you can’t divide 4 into 0 because then you’ll have an undefined line. so your b is 4 which means your equation is -2+4x.

This question concerns bit strings of length six. These bit strings can be divided up into four types depending on their initial and terminal bit. Thus the types are: 0XXXX0, 0XXXX1, 1XXXX0, 1XXXX1. How many bit strings of length six must you select before you are sure to have at least 6 that are of the same type?

Answers

Answer:

We have to choose 21 strings to be sure we have chosen at least 6 strings of the same type.

Step-by-step explanation:

Since the string type is determined by the initial and terminal bits as understood from the question, then the value of the bits between the initial and terminal bits is of no concern to us.

Now, to be sure you have atleast 6 of the same type, we select each string five times. By doing this, we have already selected 20 strings because we have 4 strings there. Now if you choose any of the string one more time, we are certain that we must have chosen atleast 6 strings that are the same. This means we have to choose 21 strings to be sure we have chosen at least 6 strings of the same type.

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