Mathematics College

A water tank initially contained 111 liters of water. It is then filled with more water, at a constant rate of 9 liters per minute.
How many minutes have passed, m, when the tank contains 194 liters? Round to the nearest hundredth.

Answers

Answer 1

Answer:

9.22 minutes

Step-by-step explanation:

You could use the form y=mx + b to find this equation

y will represent the total liters

x will represent the total number of minutes

b will represent the initial number of liters in the beginning

1. Plug 194 in for y, plug 9 in for m, put 111 in place of b

The equation should look be: $194 = 9x + 111$

2. Solve the equation

3. Subtract 111 on both sides. The equation would now be: $83 = 9x$

4. Divide both sides by 9 (to get x by itself). $\frac{83}{9} = 9.22222222$

5. Round to the nearest hundredth place to get 9. 22 minutes

Related Questions

Marta conducts emissions inspections on cars. She finds that 8 % 8%8, percent of the cars fail the inspection. Let X XX be the number of cars Marta inspects until a car fails an inspection. Assume that the results of each inspection are independent. Find the mean and standard deviation of X XX. Round your answers to one decimal place.

Answers

There are X automobiles, with a mean of 12.5 cars. The standard deviation for X is also SD = 12.0.

What connection exists between the mean and the standard deviation?

First, a data set's mean and standard deviation convey distinct information. The average (center) of a data collection is provided by mean (it is a measure of central tendency). You may learn about the range (dispersion) of data around the mean by looking at the standard deviation. We may investigate a data set's characteristics and characterize it using both the mean and standard deviation. To provide confidence intervals for data that has a normal distribution, they are frequently combined. If two or more data sets need to be compared:

The mean reveals whether data set is, on average, greater or lower (or better or worse). We can determine whether data set has a wider dispersion using the standard deviation (higher standard deviation means data is more spread out from the mean). Second, there are variations in how each metric is calculated. In particular, we utilize squaring to get the standard deviation but not the mean. We completely avoid using squaring when determining the mean of a data collection. Simply multiplying the total number of data points in the set by the sum of all the values in the data set yields the answer.

What is the standard deviation and mean formula?

The mean is calculated as follows:

Mean = (all data values added together) / (number of data values)

However, when calculating standard deviation, we do employ squaring. We take the square of the deviation between each data point and the mean in particular.

The standard deviation equation is as follows:

Finally, when we add the identical value to each data point in the data set, the mean and standard deviation "respond" differently. If we multiply every value in a data collection by the constant "K":

No of the size of the data collection, the mean rises by precisely K.

No matter how many observations are in the data collection, the standard deviation does not vary. The identical value is then added.

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6. Determine the system of equations based on the following relationships and then solve
for the two integers.
a. Fourteen more than twice the first integer gives the second integer
b. The second integer increased by one is the square of the first integer

Answer: (-3,8) and (5,24)

Answers

The two pairs of integers that satisfy the given conditions are (-3, 8) and (5, 24).

To solve the system of equations, let's assign variables to the two integers. Let the first integer be represented by 'x' and the second integer by 'y'.

According to the given information:

a. Fourteen more than twice the first integer gives the second integer:

This can be expressed as: 2x + 14 = y

b. The second integer increased by one is the square of the first integer:

This can be expressed as: y + 1 = x^2

Now, we have a system of equations:

1) 2x + 14 = y

2) y + 1 = x^2

To solve this system, we can substitute the value of 'y' from equation 1) into equation 2):

2x + 14 + 1 = x^2

2x + 15 = x^2

Rearranging the equation, we have:

$x^2 - 2x - 15 = 0$

Factoring the quadratic equation, we get:

(x - 5)(x + 3) = 0

Setting each factor equal to zero:

x - 5 = 0 --> x = 5

x + 3 = 0 --> x = -3

Substituting the values of 'x' back into equation 1), we can find the corresponding values of 'y':

For x = 5:

2(5) + 14 = y

10 + 14 = y

y = 24

For x = -3:

2(-3) + 14 = y

-6 + 14 = y

y = 8

Therefore, the two pairs of integers that satisfy the given conditions are (-3, 8) and (5, 24).

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Which is misleading about the data shown on the figure?
Number of members
Look at the photo

Answers

The misleading about the data shown on the figure is the clas width

Which is misleading about the data shown on the figure?

From the question, we have the following parameters that can be used in our computation:

The histogram

On the histogram, we have the following readings

1 - 2021 - 3031 - 4546 - 65

From the above, we can see that

The above readings are not consistent i.e. the class widths are not equal

Hence, the misleading about the data shown on the figure is the clas width

Answers

Answer:

3 cups of sugar

Step-by-step explanation:

you increase it as per ratio,in this case ratio is 1.5

tom gets $12 off a box of chocolates original price is $48 what is the % discount

Answers

Answer:

original price is 48 dollars which is 100% cost. we know that 12 is 1/4 of 48 so 1/4 of 100% gives 25%.

Step-by-step explanation:

What is the simplified form of this expression 3x+4+5x+3

Answers

combine like terms such as 3x and 5x and combine 4 and 3
the answer would be 8x+7
mark me brainliest if the answer is correct, thank you in advance :)

The simplified form of the given expression is 8x+7

Simplifying an Expression

From the question, we are to write the simplified form of the given expression

The given expression is

3x+4+5x+3

Collect like terms

3x+5x+4+3

Simplifying (Add the like terms together)

8x+7

Hence, the simplified form of the expression is 8x+7

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In order to solve for the variable in the equation 2 (4 x + 3) + 4 = 3 x minus (2 x + 4), Giovanni first applies the distributive property. Which equation is a result of this step? 8 x + 3 + 4 = 3 x minus 2 x + 4 8 x + 6 + 4 = 3 x minus 2 x minus 4 6 x + 5 + 4 = 3 x minus x + 3 6 x + 3 + 4 = 3 x minus x + 4

Answers

Answer:

Step-by-step explanation:

Answer:

B) 8x + 6 + 4 = 3x - 2x - 4

Step-by-step explanation:

Just took the test on edg :)

Kellen is having friends over for dinner and needs to buy chicken. He is looking for the best deal. There are three package options for the chicken.
3 lbs. for $15.39
2 lbs. for $9.19
1 lb. for $7.05

Answers

Answer:

But the 2lbs.

Step-by-step explanation:

Divide $9.19 by 2 and you get 4.595 which would be the cheapest option out of the 3 because the 1lb is $7.05 and the 3lb is $5.13.

You're welcome.

Mr. Smith has 847 gallons of paint. If he uses 1/3 of his paint to paint his fence, how much paint did use to paint his fence?

Answers

Answer:

282.3 gallons

Step-by-step explanation:

if needed you can round to 282

Solve the following system of equations graphically on the set of axes below.
y= x-6
y=−3x−2

Answers

Answer:

y = 3x - 6

y = -x+2

Step-by-step explanation:

Manu enjoys throwing spaghetti on his days off. He stands in his backyard every Saturday afternoon. His throwing arm is quite good; his record spaghetti toss was 12 feet in the air, after 4 seconds. At 2 seconds, the spaghetti is 8 feet high. At 5 seconds, it is at 4 feet. (i) Find the equation of his throw. (ii) How high is the spaghetti when he throws it?

Answers

Manu enjoys throwing spaghetti on his days off. He stands in his backyard every Saturday afternoon, the equation of his throw and How high is the spaghetti went is mathematically given as

y=-10/3x^2+22x-68/3

x=0

What is the equation of his throw and how high is the spaghetti went?

Generally, the equation for the three sceneario equations are is mathematically given as

16a+4b+c=12(4,12)

4a+2b+c=8(2,8)

25a+5b+c4(5,4)

Now solving the matrix we have

a=-10/3

b=22

c=-68/3

Therefore, the equation is

y=ax^2+bx+c

y=-10/3x^2+22x-68/3

In conclusion, considering his throws starting point

s=-68/3, -ve show below the surface and with time as zero

x=0

Answers

Step-by-step explanation:

31 + 6x + x + 16 = 180

7x + 47 = 180

7x = 180 - 47

x = 133/7

x = 19

Can you help please on this

Answers

Answer:

Step-by-step explanation:

Simplify:
x2 +5x-14
x2+10x+21

Answers

Answer:

4x + 15x + 7

Step-by-step explanation:

x2 + x2 = 4x

5x + 10x = 15x

-14 + 21 = 7

Michael's mom loves Bright Scents candles. A 4-inch candle will burn for 8 hours. Michael bought his mom a 10-inch candle for Mother's Day.
If Bright Scents candles all burn at the same rate, how many hours will the 10-inch candle burn?

Answers

Answer:

Step-by-step explanation:

PLEASE HELP!!!!

Find the greatest common factor. 5x^2a+5xa^2

Answers

The greatest common factor of the expression 5x²a + 5xa² is 5xa

How to find greatest common factor of 5x²a + 5xa²?

To find the greatest common factor (GCF) of the expression 5x²a + 5xa², we need to find the greatest term that can divide into both terms in the expression.

In this case, the GCF is 5xa, as it can divide into both 5x²a and 5xa².

We can check this by dividing both terms with 5xa:

5x²a + 5xa² = (5xa)(x) + (5xa)(a) = 5xa (x + a)

Thus, the GCF of 5x²a + 5xa² is 5xa.

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Question 1 0.1 pts The initial cost of a pickup truck is $12,659 and will have a salvage value of $3,580 after five years. Maintenance is estimated to be a uniform gradient amount of $135 per year, with zero dollar for first year maintenance. The operation cost is estimated to be $0.2 per mile for 344 miles per month. If the interest rate is 12%, what is the annual equivalent cost (AEC) for the truck? Enter your answer as follow: 123456

Answers

The annual equivalent cost (AEC) for the pickup truck is $4,308. We found the equivalent uniform annual cost (EUAC) first.

To calculate the AEC, we need to first find the equivalent uniform annual cost (EUAC) which includes both the initial cost and the present value of the maintenance and operation costs.

Find the present value of maintenance costs over five years using the gradient formula:

PV maintenance = A * [(1+i)^n - (1+i- g)^n] / [i - g]

where A = $135, i = 12%, g = 0, n = 5

PV maintenance = $501.21

Find the present value of operating costs over five years using the present value formula:

PV operation = C * [1 - (1 + i)^-n] / i

where C = $0.2/mile * 344 miles/month * 12 months/year = $827.52/year, i = 12%, n = 5

PV operation = $3,322.08

Find the EUAC using the formula:

EUAC = (initial cost + PV maintenance + PV operation) * A/P

where A/P = [(1+i)^n * i] / [(1+i)^n - 1]

EUAC = ($12,659 + $501.21 + $3,322.08) * 0.1464EUAC = $2,219.77

Finally, convert the EUAC to AEC by adding the present value of the salvage value and multiplying by the interest rate:

AEC = (EUAC + PV salvage) * i

where PV salvage = $3,580 / $(1+i)^5$

AEC = ($2,219.77 + $2,267.03) * 0.12AEC = $4,308.

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Hi can any one teach me this constant difference

Answers

The constant differences between the consecutive terms are 2 (a); 2 (b), -3 (c), 7 (d), 1(e), and 6(f).

How do you find the constant difference in a sequence of numbers?

In math, the constant difference can be defined as the number that defines the pattern of a sequence of numbers. This means that number that should be added or subtracted to continue with the sequence.

Due to this, to determine the constant difference it is important to observe the pattern and find out the number that should be added. For example, if the sequence is 2, 4, 6, 8, there is a difference of 2 between each of the numbers and this is the constant difference.

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A painter uses 1/8 of a gallon of paint to
paint 2/5 of a wall. How many gallons of
paint will he use for an entire wall?

Answers

Answer:

5/16

Step-by-step explanation:

5/16

1/8+1/8+1/16=5/16

Earl attaches a wire from the top of a 16-foot flagpole and stakes it to the ground 12 feet from the base

of the pole. How many feet long is the wire?

16 Ft

Answers

Answer:

16 feet

Step-by-step explanation:

We are told that:

Earl attaches a wire from the top of a 16-foot flagpole and stakes it to the ground

Therefore, we can conclude that the Length of the wire = Length of the flagpole

The length of the wire = 16 ft

Therefore, the wire is 16 feet long.

simpifly 49/84
...........

Answers

Answer:

7/12

Step-by-step explanation:

Divide both the numerator & denoniminator by 7.

49 / 7 = 7

84 / 7 = 12

7/12

Answer: 7/12

Step-by-step explanation:

Solve for x for number 6. Find the length indicated for number 8. Find TU

Answers

Step-by-step explanation:

hope this will help you

Write the equation of the line parallel to the line and passing through the point.
Chapter Reference
d
y=x+5, (8, 1)

Answers

Answer:

y = x - 7

Step-by-step explanation:

Parallel lines have the same gradient in this case 1 is the gradient.

Using the point (8,1) we can form our own equation.

1 will be y, 1 will be m, 8 will be x

All we have to do is find C in order to form the equation y=mx+c

1 = 1(8) + c

1 = 8 + c

C = - 7

Therefore;

y = x - 7

In triangle XYZ, m∠Z > m∠X + m∠Y. Which must be true about △XYZ?

m∠X + m∠Z < 90°
m∠Y > 90°
∠X and∠Y are complementary
m∠X + m∠Y < 90°

Answers

X + Y < 90

X + Y + Z = 180
Z > X + Y so Z > 90

Answer:

M < X + M < Y < 90

Step-by-step explanation:

When you calculate (In) 7, you would be finding the
value of which of the following expressions?
O log10 7
O log, 10
O log, e
O log 7

Answers

Option (O log 7) refers to the base-10 logarithm of 7, represented as log10(7), which is not the same as ln (7). Optional (O log, 10) and (O log, e) mathematical expressions are not acceptable.

what is logarithm?

In mathematics, the logarithm is the reciprocal of a power. As a result, the exponent by which b must be raised to achieve a number x matches its logarithm in base b. For example, because 1000 = 103, the base-10 logarithm is 3, or log10 = 3. For example, the base 10 logarithm of 10 is 2, but the square of 10 is 100. Log 100 = 2. A logarithm (or log) is the mathematical word used to answer questions such as how many times a base of 10 must be multiplied by itself to get 1,000. The answer is 3 (1,000 = 10 10 10).

When you compute (In), you are calculating the natural logarithm of 7, which is indicated as ln(7) or loge (7).

As a result, the expression you'd be looking up the value of is: ln(7) or loge (7).

Option (O log 7) refers to the base-10 logarithm of 7, represented as log10(7), which is not the same as ln (7). Optional (O log, 10) and (O log, e) mathematical expressions are not acceptable.

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Which statement could be used to explain why the function h(x) = x has an inverse relation that is also a function?

Answers

Answer:

Step-by-step explanation:

You could say that since h(x) is one-to-one, it must have an inverse. And since h is one-to-one, it's inverse must also be one to one.

What is the line segment from the center of the circle to any point on the circle

please help me Answer this question

Answers

Step-by-step explanation:

the circle to any point on the circle

Answer:

Radius

.....................

There is a 5 by 5 square in the top right square is your home in the bottom left square is your school there are >100 ways and you can’t go through corners and the way Can only be 10 blocks no more or less

Answers

Answer:

there is a 5 by 5 square

Step-by-step explanation:

Answer:

In plane Euclidean geometry, a rhombus is a quadrilateral whose four sides all have the same length. Another name is equilateral quadrilateral, since equilateral means that all of its sides are equalStep-by-step explanation:

A customer will be charged extra if the weight of their suitcase is above 48 pounds.
Write an inequality to represent w, the weight of the suitcase in pounds, that will have an extra charge.
Enter your answer by clicking and using the expression evaluator.

Answers

Answer:

$w>48$ pounds

Step-by-step explanation:

The customer will be charged extra if the weight of their suitcase is above 48 pounds.

Let the weight of the suitcase = w (in pounds)

Therefore, w above (greater than) 48 pounds is written mathematically as:

$w>48$ pounds

This is the inequality that represents w, the weight of the suitcase in pounds, that will have an extra charge.

number 15 prime or composite? O prime composite

Answers

Answer:

15 is a composite number.

Answer:

15 is a composite number.

Step-by-step explanation:

Its factors are: 1, 15, 5, 3

I hope this helps:)

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A water tank initially contained 111 liters of water. It is then filled with more water, at a constant rate of 9 liters per minute. How many minutes have passed, m, when the tank contains 194 liters? Round to the nearest hundredth.

Answers

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A water tank initially contained 111 liters of water. It is then filled with more water, at a constant rate of 9 liters per minute.
How many minutes have passed, m, when the tank contains 194 liters? Round to the nearest hundredth.