Help,,,,,,,,,,,,,,,........

The water cooler tank has to be filled 18 times to quench the thirst of 1200 students.

We have

Number of students= 1200

Water consumption per student= 750 ml

So, Total water consumption

= Number of students × Water consumption per student

= 1200 × 750 ml

= 900000 ml

= 900 Liter

Now, the time cooler tank has to be filled to quench the thirst

= 900 / 50

= 18 times

Thus, the water cooler tank has to be filled 18 times to quench the thirst of 1200 students.

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Answer:

A. The absolute maximum is nothing at x equals nothing, but there is no absolute minimum.

Step-by-step explanation:

The equation is :

f(x) = 2x2 + x2

The function has not absolute maximum value and it has absolute minimum value 0. The both function has maximum value as nothing.

Answer:

32

Step-by-step explanation:

first multiply 6×1.

1/2×(6×7)+11

Then multiply 6×7

1/2×42+11

Third you multiply 1/2 and 42

1/2×42= 21

finally you add together 21+11

21+11= 32

Answer:

10

Step-by-step explanation:

The required bigger number is given as 10, as of the given condition.

Given that,
The difference between the two numbers is 6. Their sum is 14. What the bigger number is to be determined.

Simultaneous linear equations are two- or three-variable linear equations that can be solved together to arrive at a common solution.

Here,
let the numbers be x and y,
According to the question,
x  - y = 6
x + y = 14
Solving the above two equations,
2x = 20
x = 10
and,
10 - y = 6
y = 4

Thus, the required bigger number is given as 10, as of the given condition.

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Answer:

x- intercept = - 8 , y- intercept = 4

Step-by-step explanation:

to find the x- intercept let y = 0 in the equation and solve for x

x - 2(0) = - 8

x - 0 = - 8

x = - 8 ← y- intercept

to find the y- intercept let x = 0 in the equation and solve for y

0 - 2y = - 8

- 2y = - 8 ( divide both sides by - 2 )

y = 4 ← y- intercept

Rounding to the nearest cent, the estimated value of the vehicle after 4 years is approximately $23,726.20..

To estimate the value of the vehicle after 4 years, we can use the given equation A = 39500(0.86)^t, where A represents the value of the vehicle and t represents the number of years.

Substituting t = 4 into the equation:

A = 39500(0.86)^4

A ≈ 39500(0.5996)

A ≈ 23726.20

Rounding to the nearest cent, the estimated value of the vehicle after 4 years is approximately $23,726.20.

This estimation is based on the assumption that the vehicle's value decreases by 14% each year. The equation A = 39500(0.86)^t models the exponential decay of the vehicle's value over time. By raising the decay factor of 0.86 to the power of 4, we account for the 4-year period. The final result suggests that the value of the vehicle would be around $23,726.20 after 4 years of ownership.

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

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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The function of the absolute value is always positive the correct answer would be option (B).

What is a graph?

A graph can be defined as a pictorial representation or a diagram that represents data or values.

What is absolute value?

Absolute value is defined as the magnitude or size of a number, no negatives are allowed. The distance a number is from 0 on the number line is known as the absolute value of the number.  

For example, |5| is 5 because it is 5 units away from 0.  Also, |-5| is also 5 because -5 is 5 units from 0.

We have to determine the statement best describes the function.

We have been given that the graph represents the absolute value parent function.

Since the parent function's graph with an absolute value that is always positive.

Therefore, the graph of the absolute value parent function would be always positive.

Hence, the correct answer would be option (B)

Answer:

Check picture

Step-by-step explanation:

9514 1404 393

Answer:

  1 1/2

Step-by-step explanation:

  \(\dfrac{4\dfrac{1}{8}}{2\dfrac{3}{4}}=\dfrac{\left(\dfrac{4\cdot8+1}{8}\right)}{\left(\dfrac{2\cdot4+3}{4}\right)}=\dfrac{\left(\dfrac{33}{8}\right)}{\left(\dfrac{11}{4}\right)}=\dfrac{\left(\dfrac{33}{8}\right)}{\left(\dfrac{22}{8}\right)}=\dfrac{33}{22}=\dfrac{3}{2}\)

Then the improper fraction 3/2 can be written as the mixed number 1 1/2.

  (4 1/8) / (2 3/4) = 1 1/2

_____

Comment on division of fractions

Fractions can be divided several ways. Two ways that are commonly taught are "invert and multiply", or "match denominators". Here, we have used the second of these methods.

If we were to "invert and multiply", the computation would be ...

  (33/8)(4/11) = (33/11)(4/8) = 3(1/2) = 3/2

Instead, we multiplied 11/4 by 2/2 to make it be 22/8, so having a denominator of 8 matching that of the numerator. Then the value of the compound fraction is the ratio of the numerators:

  (33/8)/(22/8) = 33/22 = (3/2)(11/11) = 3/2

In order for the relationship zyx ~ wvu to be correct, the following conditions must be true:

Corresponding angles are congruent: The angles formed by matching vertices should have the same measures in both triangles. This ensures that the corresponding angles are equivalent.

Corresponding sides are proportional: The lengths of the sides that connect the corresponding vertices of the triangles should have a consistent ratio. This implies that the corresponding sides are proportional to each other.

These conditions are based on the definition of similarity between two triangles. If both the corresponding angles are congruent and the corresponding sides are proportional, then the triangles zyx and wvu are considered similar (denoted by ~).

Therefore, in order for zyx ~ wvu to be correct, the congruence of corresponding angles and the proportionality of corresponding sides must hold true.

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The numbers ordered from the greatest to the least is

4

15/5

0.5

-1/5

-1.2

-49

From the given question, we are to order the given numbers from the greatest to least.

The given numbers are

-49

-1/5

0.5

4

-1.2

15/5

First, we will convert the fractions to decimal or whole number

-1/5 = -0.2

15/5 = 3

Now, we will order the numbers from the greatest to the least

4 > 3 > 0.5 > -0.2 > -1.2 > -49

That is,

4 > 15/5 > 0.5 > -1/5 > -1.2 > -49

Hence, the numbers ordered from the greatest to the least is

4

15/5

0.5

-1/5

-1.2

-49

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All work and answers are provided in the attached screenshot! :)

Have a great day! :)

Answer:

\(\huge\boxed{\sf x = 9}\)

Step-by-step explanation:

3(x + 4) - 11 = 28

3(x + 4) = 28 + 11

3(x + 4) = 39

3x + 12 = 39

3x = 39 - 12

3x = 27

x = 27/3

\(\rule[225]{225}{2}\)

Answer:

48/13

Step-by-step explanation:

To make this into an improper fraction, convert the integer into a fraction using the denominator of the fraction

3 * 13/13 = 39/13

Then add it to the rest of the fraction

39/13 + 9/13

= 48/13

Answer: 48/13

Step-by-step explanation: first multiply 3 x 13 to get 39. do this because you get the fraction for the whole number, 3. then, add 39 to the numerator (9). you will get 48/13. you do this because you are adding the whole number (3) to the fraction so that way it is an improper fraction.

Answer: 18000/45= gallons used daily

Step-by-step explanation:

400x45=18000

Answer: 18000/45 gallons used daily  

Step-by-step explanation: 400x45=18000 gallons

Answer:

15200g

Step-by-step explanation:

Hope the Dog gets better XD

Step-by-step explanation: First you have to convert kilograms to grams. You have to multiply kilograms by 1,000 to get grams. 16kg*1,000=16,000. Then do this 16,000-800=15,200

Using proportions, it is found that the manager has given away 22 tickets.

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.

For this problem, we have to find the proportion between the number of customers and 120 and the ones that receive the prize, as follows:

The customers who are both a 10th and a 25th customer are the 50th and the 100th customers, hence:

Hence the number of tickets given away is:

10 + 2 x 2 + 2 x 4 = 22.

The manager has given away 22 tickets.

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The ratio of the areas of two similar polygons can be found by using the ratio of their perimeters or the ratio of similarity and squaring it which is true.

The polygon is a 2D geometry that has a finite number of sides. And all the sides of the polygon are straight lines connected to each other side by side.

Similar polygons are those whose perimeter ratios are identical to their respective scale factors. The common fraction of the sizes of two matching sides of two identical polygons is known as a scale factor.

The given statement is true.

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Option B. y = 3 (one-third) Superscript x is the function that is graphed in this question.

We have exponential functions to be of the form abˣ

This can be written in the form of f(x) = \(3\frac{1}{3} ^x\)

So it crosses through the point (0, 3).

From the way that the curve passes through the circle, we can see that the it is said to pass through at (0, 3) and approaches y = 0 in quadrant 1

Hence this would put our answer to be y = 3 (one-third) Superscript x

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Answer:the answer is b dont care

Step-by-step explanation:

On a coordinate plane, an exponential decay function is shown. The curve starts in quadrant 2 and decreases into quadrant 1. It crosses the y-axis at (0, 3) and approaches y = 0 in quadrant 1.

y = one-third (3) Superscript x

y = 3 (one-third) Superscript x

y = (one-half) Superscript x Baseline + 2

y = (2) Superscript x Baseline minus 1

Answer:

291

Step-by-step explanation:

2*2*2=8*2=16

16+(11*5*5)=291

Answer:

291cm^3

Step-by-step explanation:

11×5×5=275cm^3

2×2×2=8cm^3

8cm^3 + 8cm^3= 16cm^3

275+16=291cm^3

Answer:

x = 30°

y = 30°

Step-by-step explanation:

By inscribed angle theorem:

\(x = y = \frac{1}{2} \times 60 \degree \\ \\ x = y = 30 \degree\)

Answer:

To find the mean, you have to add all numbers together and divide them by the number of data points.

let me show what I mean:

The heights of the dogs are 600,470,170, 430,300.

Step-by-step explanation:

600+470+170+430+300.

1970.

Now we have to divide 1,970 by 5 ( because we are given 5 data points)

The mean is:

1970/5=394

Variance: First, arrange the data from least to greatest.

s2 = 27130

Standard Deviation: 164.71187

Answer:

1/9

Step-by-step explanation:

P =

\((no \: of \: favorable \: outcomes) \div (total \: numeber \: of \: outcomes \: )\)

Please mark as brainliest if this helped

Peace

Answer:

x/x+1

Step-by-step explanation:

x^2-2x-3/x^2+2x+1 / x-3/x

Factor the left side and flip the divisoin to multipcation

(x+1) (x-3)  * x/x-3

(x+1) (x+1)

The items I bolded are the values that have been canceled, remember u can only cancel when they are multiplying/dividing never do it when adding/subtraction

you are left with : x/x+1

Answer:

The required interest rate would be of 3.4% a year.

Step-by-step explanation:

The amount of money earned in compound interest, after t years, is given by:

\(P(t) = P(0)(1+r)^t\)

In which P(0) is the initial investment and r is the interest rate, as a decimal.

Peyton is going to invest $440 and leave it in an account for 5 years.

This means that \(P(0) = 440, t = 5\)

So

\(P(t) = P(0)(1+r)^t\)

\(P(t) = 440(1+r)^5\)

What interest rate, to the nearest tenth of a percent, would be required in order for Peyton to end up with $520?

This is r for which P(t) = 520. So

\(P(t) = 440(1+r)^5\)

\((1+r)^5 = \frac{520}{440}\)

\(\sqrt[5]{(1+r)^5} = \sqrt[5]{\frac{52}{44}}\)

\(1 + r = (\frac{52}{44})^{\frac{1}{5}}\)

\(1 + r = 1.034\)

Then

\(r = 1.034 - 1 = 0.034\)

The required interest rate would be of 3.4% a year.

The change in scale factor from the old scale (1 inch = 16 meters) to the new scale (1 inch = 2 meters) is 1 to 8.

The change in scale factor is the ratio of the new scale to the old scale. In this case, the old scale is 1 inch = 16 meters and the new scale is 1 inch = 2 meters. To find the ratio, we divide the new scale by the old scale, which gives us:

new scale / old scale = 2 meters / 16 meters = 1/8

Therefore, the change in scale factor from the old scale to the new scale is 1 to 8. This means that one unit of measurement on the new scale (1 inch) represents 8 times less than one unit of measurement on the old scale (16 meters). In other words, the new scale is 8 times smaller than the old scale.

A change in scale factor is a way of comparing two different scales by calculating the ratio of the two scales. It is often used in fields such as architecture, engineering, and cartography to create scaled-down or scaled-up versions of objects, plans, or maps. In this case, the architect changed the scale from 1 inch = 16 meters to 1 inch = 2 meters. This means that for every inch on the new drawing, there are 8 inches on the old drawing. This change in scale factor helps to maintain proportion and accuracy in the drawings, as well as to make them easier to read and understand.

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Answer:

the answer is D

Step-by-step explanation:

Answer:

Your answer would be D

Step-by-step explanation:

:)

The time that it will take for it to fall 48 feet will be ✓3 seconds.

From the information, the distance s that an object falls varies directly with the square of the time, t , of the fall and an object falls 16 feet in one second.

This will be:

s = kt²

s = distance

k = constant

t = time

s = kt²

16 = 1²k

k = 16

Therefore, the time that it will take for it to fall 48 feet will be:

s = kt²

48 = 16t²

t² = 48 / 16

t² = 3

t = ✓3

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