Can someone help me with these problems having trouble and show work please !

A pool is being drained by a pump at a rate of 4 gallon per minute, then the second pump affect the rate of drainage = 8 minutes

For two identical pumps in parallel the flow rate doubles compared to single pump,

Single pump flow rate = 4 gallons per minute

When two pump act at same time, drain rate will be double,

Drain rate = 8 gallons per minute

The first pump can drain in 8 minutes, therefore:

Rate of the first pump = 1/8

Working together, they can drain the pool in 4 minutes, therefore:

Rate of both pumps = 1/4

Let the time taken by the second pump =t

Rate of the second pump = 1/t.

So,

We can write,

[tex]\frac{1}{8}[/tex] + [tex]\frac{1}{t}[/tex] = [tex]\frac{1}{4}[/tex]

[tex]\frac{1}{t}[/tex] = [tex]\frac{1}{4} -\frac{1}{8}[/tex]

[tex]\frac{1}{t}[/tex] = [tex]\frac{2-1}{8}[/tex]

[tex]\frac{1}{t}[/tex] = [tex]\frac{1}{8}[/tex]

t = 8 minutes

Therefore,

A pool is being drained by a pump at a rate of 4 gallon per minute, then the second pump affect the rate of drainage = 8 minutes

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The greatest common factor (GCF) of 14 and 21 is 7.

So we can write 14 and 21 as the product of 7 and their corresponding quotients:

14 = 7 * 2

21 = 7 * 3

Now we can apply the distributive property and combine them:

14 + 21 = 7 * 2 + 7 * 3 = 7 * (2 + 3) = 7 * 5 = 35

The final answer is 35.

Answer:

7(2 + 3)

Step-by-step explanation:

The Greatest Common Factor of 14 & 21 is 7

So, the answer is

7(2 + 3)

The estimates for the requested shaded parts for 1 fourth is to divide the beaker into four parts and shade an area and 1 third, divide by three parts and shade one part as shown in the diagram.

A fraction is a portion of a larger whole. The number is expressed in arithmetic as a quotient, which is the numerator divided by the denominator. Both are integers in a simple fraction. A complex fraction contains a fraction in either the numerator or the denominator. A proper fraction has a numerator that is less than the denominator.

Proper fractions, improper fractions, and mixed fractions are the three types. Fractions are terms that have a numerator and a denominator. We define its types based on these two terms. One third is considered one part of 3 that makes a whole, one fourth, one part of 4 that makes a whole and so on.

The complete question is:

A beaker is considered full when the liquid reaches the fill line showing near the top estimate the amount of water in the beaker by shading The drawing as indicated The first one is done for you

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Answer: Teo is 9 years old and Richard is 27 years old.

Step-by-step explanation:

First of all, create expressions which represents Teo's and Richard's age:

x = Teo's Age

2x + 9 = Richard's Age

Now create an equation which can be used to find Teo's age and Richard's Age:

(x) + (2x)+9 = 33

(x) + (2x) = 24

3x = 24

x = 9

From this, we can conclude that Teo is 9 years old.

Now substitute 9 into Richard's Age expression which is 2x+9

2*9+9 = 27

From this, we can conclude that Richard is 36 years old.

Abby can make 26 tie-dyed T-shirts.

We can start by setting up a linear equation to represent the total cost of making the tie-dyed T-shirts.

What is a linear equation?

First-order equations include linear equations. In the coordinate system, linear equations are defined for lines. A linear equation in one variable is one in which there is a homogeneous variable of degree 1 (i.e., just one variable).

Multiple variables may be present in a linear equation. Linear equations with two variables, for example, are used when a linear equation contains two variables.

Let x be the number of T-shirts Abby makes

The cost for each T-shirt is $3.95 + $0.50 = $4.45

The cost of the two boxes of salt is $4.50 * 2 = $9

So the total cost for x T-shirts is $4.45x + $9

We know that the total cost is 124.70 and we want to find the value of x, so we can set up the equation as:

$4.45x + $9 = 124.70

Solving for x:

$4.45x = 115.70

x = 115.70 / 4.45

x = 26

Therefore, Abby can make 26 tie-dyed T-shirts.

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The probability of selecting a bird would be = 2/15

Probability is defined as the ability of an outcome to occur by chance or not.

The formula that can be used to calculate the outcome of an event= P(E) = number of favorable outcomes/Total number of outcomes

Where, P(E) is the probability of any event.

Let E be an event of selecting an insect.

According to the given question

We have

Total number of insects = 10

Total number of trees = 8

Total number of flowers = 8

Total number of birds = 4

Now, the total number of outcomes = 10 + 8 + 8 + 4 = 30

Total number of favorable outcomes(birds) = 4

Therefore,

The probability of selecting a bird = 4/30 = 2/15

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Complete question:

A stack of 30 science flashcards includes a review card for each of the

following: 10 insects, 8 trees, 8 flowers, and 4 birds.

What is the probability of randomly selecting a bird.

Insurance companies use math in several ways to help them assess and manage risk, price their products, and make financial decisions. Some examples include:

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The surface areas for each of the cylinders are;

1) S = 10178.8 millimeters squared

2) S = 955.0 inches squared

3) S = 157.1 centimeters squared

4) S = 351  square inches

The formula for surface area of a cylinder is;

S = 2πr² + 2πrh

1) We are given;

radius; r = 30 mm

height; h = 24 mm

Thus;

S = 2π(30)² + 2π(30*24)

S = 10178.8 millimeters squared

2) We are given;

radius; r = 8 in

height; h = 11 in

Thus;

S = 2π(8)² + 2π(8*11)

S = 955.0 inches squared

3) We are given;

radius; r = 1 cm

height; h = 9 cm

Thus;

S = 2π(1)² + 2π(1*9)

S = 157.1 centimeters squared

4) We are given;

radius; r = 4 in

height; h = 10 in

Thus;

S = 2π(4)² + 2π(4*10)

S = 351  square inches

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Answer:

Step-by-step explanation:

20 = 20 more than

5×9 = 9 times more than 5

So a proper response for a written word expression in a numerical or algebraic expression such as this one here would be:

A number is equal to 20 more than 9 times 5.

Answer:

g(-3)= 40

Step-by-step explanation:

g(-3) simply means that where there is X, Substitute -3 into the original equation to find the value.

[tex]g( - 3) = 3( - 3) {}^{2} - 4( - 3) + 1[/tex]

[tex]g( - 3) = 27 + 12 + 1[/tex]

=40.

Answer:

40

Step-by-step explanation:

g(x)=3x^2-4x+1 

g(-3)=3x^2-4x+1 

g(-3)=3(-3)^2-4(-3)+1 

g(-3)=27+12+1 

g(-3)= 40

The statement about adolescence that is false, is D. Teens focus on how to contribute to the world.

Young people will navigate puberty and the end of their growth during adolescence. They will also assume sexually dimorphic body shapes, develop new cognitive skills (including the ability to think abstractly), clarify their personal and sexual identities, and reach a certain level of emotional, personal, and financial maturity.

As a result, they can assume bigger responsibilities in the home and community, think through the effects of their choices, and develop their problem-solving and decision-making skills.

They do not focus on contributing to the world just yet.

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Options for this question include:

[tex]~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$800\\ r=rate\to 3.8\%\to \frac{3.8}{100}\dotfill &0.038\\ t=years\dotfill &4 \end{cases} \\\\\\ A = 800[1+(0.038)(4)] \implies A = 921.6[/tex]

Answer:

sorry I posted this question and never got and never got an answer

The numbers 2, -2, and -2 can replace the letters A, B, and C respectively in the table of values.

We use table of values when we have to graph out a linear equation. We can make use of the table of values to map out the corresponding values of x and y for a given line equation.

For y = x² - 3x - 2:

when x = -1;

y = (-1)² - 3(-1) -2

y = 1 + 3 - 2

y = 4 - 2

y = 2

when x = 0;

y = (0)² - 3(0) -2

y = 0 - 0 - 2

y = -2

when x = 3;

y = (3)² - 3(3) - 2

y= 9 - 9 - 2

y = 0 - 2

y = -2

Therefore, the values 2, -2, and -2 replace letters A, B, and C respectively in the table of values for y = x² - 3x - 2.

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Reason:

An increase of 95% will involve the multiplier 1.95

Think of it like saying 100% + 95% = 1 + 0.95 = 1.95

Therefore,

1.95*3.50 = 6.825 = 6.83 dollars

Answer:

ttt

Step-by-step explanation:

The equation of the graph is: y = -x.

The point where the graphs of two equations intersect has y-coordinate 0. If the y-coordinate is 0, that means that the x-coordinate of the point of intersection is the y-intercept of the equation.

The first equation is y = 3x + 3. Therefore, the slope of this equation is 3, and the y-intercept is 3.

The other equation we are trying to find is y = -1x + b, where b is the y-intercept.

Because the point of intersection has y-coordinate 0, the x-coordinate is the y-intercept of the second equation, which is b.

So, if we substitute 0 for y in the second equation, we get 0 = -1x + b

Therefore, b = 0

so the other equation is y = -1x + 0 which simplifies to y = -1x.

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The relation {(3, 2),(6, 4),(9, 6),(12, 8)} is a function.

The relation {(2, 3),(2, 5),(3, 6),(9, 4)} is not a function.

The relation {(2, 4),(6, 3),(4, 8),(6, 6)} is not a function.

The relation {(3, 4),(5, 2),(6, 8),(6, 4)} is not a function.

A relation between a set of inputs having one output each is called a function.

Now,

In first option,

The relation is,

⇒ {(3, 2),(6, 4),(9, 6),(12, 8)

Clearly, Every inputs having one output each.

Hence, It is a function.

In second option,

The relation is,

{(2, 3),(2, 5),(3, 6),(9, 4)}

Clearly, Two Outputs 3 and 5 have same input 2.

Hence, It is not a function.

In third option,

{(2, 4),(6, 3),(4, 8),(6, 6)}

Clearly, Two Outputs 3 and 6 have same input 6.

Hence, It is not a function.

In fourth option,

{(3, 4),(5, 2),(6, 8),(6, 4)}

Clearly, Two Outputs 8 and 4 have same input 6.

Hence, It is not a function.

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Is the relation a function: C. No, because for each input there is not exactly one output.

In Mathematics, a function is typically used for uniquely mapping an independent value (input variable or domain) to a dependent value (range or output variable).

This ultimately implies that, an independent value represents the value on the x-axis of a cartesian coordinate while a dependent value represents the value on the y-axis of a cartesian coordinate.

Since the independent value (12) is mapped to multiple dependent values (-4 and -2), we can logically deduce that the relation does not represent a function.

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Answer:

The line parallel to y=2x +3 is

y=2x + k---(1)

Since,st.line (1) passes through point (5,-4) then,

-4=2(5)+k

or,k=-4-10

:.k= -14

Putting value of k in eqn(1) we get

y=2x -14

Hence, y=2x -14 is the line parallel to y=2x +3 and passes through point (5,-4)

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The number of students that are majoring in Economics is 2592 whose percentage is 48% of the total.

What is the percentage?

In mathematics, a percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred. The word percent means per 100. It is represented by the symbol “%”.

Examples of percentages are:

Now,

Total students=5400

Percentage of students doing majoring =48%

Hence,

           The number of students that are majoring in Economics

                                =48/100*5400

                               =2592

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A quadratic inequality is an equation that takes the form of ax^2 + bx + c ≤ 0 or ax^2 + bx + c ≥ 0, where a, b, and c are real numbers and a is not equal to 0.

Quadratic inequalities are used to represent a relationship between two variables and can be used to solve a variety of problems. They can be used to find the maximum or minimum value of a function, or to determine the range of values for which a given equation is true. They can also be used to find the number of solutions to an equation and to compare the values of two functions. Quadratic inequalities are used widely in mathematics and other sciences and can help us to understand and solve many real-world problems.

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Students must possess both the growth mindset necessary for problem-solving and strong reading skills. Some of the problem-solving methods are described.

The capacity to solve math word problems is an essential component of math fluency.

Concentrate on using mathematical key words and phrases.

Mark this sentence for deletion:

Promote Question-Asking:

Sketch the issue.

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By using pythagorean theorem, the length of the third side is 3 unit.

In mathematics, a number or an expression is said to be in its simplest radical form if it has no perfect square factors other than 1. For example, the square root of 12 can be simplified to 2√3 because 2 * 2 * 3 = 12, but 2 and 3 are not perfect squares. So the simplest radical form of √12 is 2√3.

what is pythagorean theorem?

The Pythagorean theorem is a fundamental result in Euclidean geometry that states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. It can be written as:

c^2 = a^2 + b^2

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The measure of angle S = 29 degrees, angle T= 29 degrees, and angle U = 122 degrees.

A triangle is a straightforward closed curve made up of three-line segments. An angle inside the form is known as an interior angle. The inner angles add up to a constant 180 degrees.

The sum of internal angle of the triangle is 180 degrees.

(x + 4) + (x + 4) + (5x - 3) = 180

7x + 5 = 180

7x = 175

x = 25

Substitute the value of x in each of the angle to find the measure of each angle as follows:

The value of angle S = x + 4 = 25 + 4 = 29 degrees.

The value of angle T = x + 4 = 25 + 4 = 29 degrees.

The value of angle U = 5x - 3 = 125 - 3= 122 degrees.

Hence, the measure of angle S = 29 degrees, angle T= 29 degrees, and angle U = 122 degrees.

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the required probability is 0.1

Probability is a measure of the likelihood of an event occurring. The probability formula is defined as the possibility of an event happening is equal to the ratio of the number of favorable outcomes and the total number of outcomes. Probability of event to happen P(E) = Number of favorable outcomes/Total Number of outcomes.

Given here: 3 students study for an hour and total students are 30

Thus P(1 hour) =3/30

                          =0.1

Hence, the required probability is 0.1

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Answer: (x-2)(x+3)^2(x^2-16)

Step-by-step explanation:

(x+3)^2(x-2)

(x+3)(x^2-16)

(x+3)(x^2-16)=(x+3)(x+4)(x-4)

(x+3)^2(x-2)=(x+3)(x+3)(x-2)

LCM: (x+3)^2(x-2)(x^2-16)

Let [tex]d[/tex] be the number of dimes and [tex]q[/tex] be the number of quarters.

[tex]\begin{cases} 0.10d=4.00 \\ d+q=25 \end{cases}[/tex]

Answer:

$24.46

Explanation:

$6.85÷7= 1 pint

you times the answer by 25 = $24.46

Answer:

Hi!

We will solve this using proportions, like this:

4 pints cost 10,08

30 pints cost x

__________________

x = (30 * 10,08)/4

x = 302,4/4

x = 75,6

30 pints of ice cream cost 75,6$.

Hope this helps!

Step-by-step explanation:

Answer:angle TSQ and angle UVX

Step-by-step explanation: