Adoncia lives 4/5 mi from the library. Mariko lives 0.72 mi from the library.

a. Who lives farther from the library? How much farther? show your work

plz help!?!

Answer:

51/52

Explanation:

An easy way to compare the fractions is to make the denominators the same as follows.

Similarly:

We then compare the numerators.

Since 2601 is greater than 2600, 51/52 is a greater fraction.

You Can Divide By Three

3/3 = 1

12/3 = 4

27/3 = 9

48/3 = 16

Answer:

3n²

Step-by-step explanation:

3  = 3 * 1  = 3* 1²

12 = 3 * 4 = 3 * 2²

27 = 3 * 9= 3 * 3²

48 = 3 * 16 = 3* 4²

Therefore, n th term = 3*n² = 3n²

Answer: did you make that up ??

Step-by-step explanation:

Answer:

A. Alternate interior

B. Transitive property

C. Converse alternate interior angles theorem.

Answer:

B: 80

Step-by-step explanation:

The given equation y = 3x + 5 has infinitely many solutions.

What is a linear equation in two variables?

If an equation is written in the form ax + by + c=0, where a, b, and c are real numbers and the coefficients of x and y, i.e., a and b, respectively, are not equal to zero, then it is said to be a linear equation in two variables.

Given: Linear equation y = 3x + 5

We know that,

The linear equation in two variables in the form of ax + by + c = 0

For x = 0, y = 0 + 5 = 5. Therefore, (0, 5) is one solution.

For x = 1, y = 3 × 1 + 5 = 8. Therefore, (1, 8) is another solution.

For y = 0, 3x + 5 = 0, x = -5/3. Therefore, (-5/3, 0) is another solution.

Clearly, for different values of x, we get various values for y. Thus, any value substituted for x in the given equation will constitute another solution for the given equation. So, there is no end to the number of different solutions obtained by substituting real values for x in the given linear equation. Therefore, a linear equation in two variables has infinitely many solutions.

Hence, the given equation y = 3x + 5 has infinitely many solutions.

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The equation of the line that passes through the point (-6,8) and has a slope of -5/3 is y=-5/3x-2.

Given that the line passes through the point (-6,8) and has a slope of -5/3.

We are required to find the equation of the line whose description is given.

Equation is basically the relationship between two or more variables that are expressed in equal to form. It may be linear equation, quadratic equation or cubic equation. Slope intercept form in the equation be y=mx+c.

We have been given slope be -5/3.

y=mx+c--------------1

Put m=-5/3 in equation 1.

y=-5/3x+c------------2

Put (-6,8) in equation 2.

8=-5/3 *(-6)+c

8=-5*(-2)+c

8=10+c

c=-2

Use the value of c in equation 2.

y=-5/3x-2

Hence the equation of the line that passes through the point (-6,8) and has a slope of -5/3 is y=-5/3x-2.

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In order to restore general equilibrium, price adjustments are undertaken. In the short run, prices increase, and when expectations rise above actual inflation, prices continue to climb until they do. answer is option (d). price level.

The term "aggregate demand" in macroeconomics refers to the overall demand for locally produced commodities, including capital goods, consumer products, and services. Aggregate demand is calculated as the total of spending by consumers, corporate and governmental investment spending, and net imports and exports.

The overall demand of final products and services in an economy at any particular time is known as aggregate demand, often referred to as domestic final demand. Effective demand is a frequent word for it, however occasionally this phrase is used to distinguish between two things. This is the demand for a nation's gross domestic product.

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6.2w + 18.76 + 1.9w = -16.39 + 4.4w

Put on one side of the equation the w values and in the other sides the number values:

6.2w+1.9w-4.4w= -16.39-18.76

3.7w= -35.15

Divide both sides of the equation by 3.7

3.7w/3.7 = -35.15/3.7

w= -9.5

Answer:

Step-by-step explanation:

\(f'(x) =\frac{1}{2\sqrt{x-3}}\)

By MVT, there exist a number c on [4, 12] such that

\(f'(c) = \frac{f(12)-f(4)}{12-4}\)

\(f(12) = 3, and, f(4) = 1, hence f'(c) = \frac{1}{4}\)

therefore,

\(\frac{1}{2\sqrt{x-3}} = \frac{1}{4}\)

Solve this equation, you have x =1.

However, this is out of the given interval. Hence does not exist

Answer:

Least : Orange, red, yellow, purple, green : Greatest

O = 7.2

R= 7.5

Y= 7.875

P= 8.25

G= 8.33

Step-by-step explanation:

either convert them all to fractions, or convert them all to decimals

IM VERY SORRY if its wrong tho :(

Answer:

AED= 180-110

=70

x=10

Step-by-step explanation:

Answer:

13/50

Step-by-step explanation:

En la caja de 50 lapiceros, hay 15 son rojos, 10 son azules, 12 son verdes y el resto son negros.

La cantidad de plumas que no son negras son:

15 + 10 + 12 = 37

Por lo tanto, el número de plumas negras son:

50-37 = 13

Por lo tanto, la fracción de los lapiceros negros es:

13/50

Answer:

El precio de las hojas lo expresaría como:

y= x+120, donde

x=precio de la cuadernola

y= precio del block de hojas

Step-by-step explanation:

De acuerdo a la información del enunciado, sabes que la suma del precio de una cuadernola y un block de hojas es igual a $270, lo cual puedes expresar de la siguiente forma:

x+y=270

x=precio de la cuadernola

y= precio del block de hojas

Además, en el enunciado se indica que block de hojas sale 120 más que la cuadernola lo que significa que el precio del block de hojas es igual al precio de la cuadernola más 120, lo que puedes indicar de la siguiente forma:

y= x+120

Esta ecuación la puedes reemplazar en la primera para encontrar los precios:

x+(x+120)=270

x+x=270-120

2x= 150

x=150/2

x= 75

Después puedes reemplazar el valor de x para encontrar y:

y= 75+120

y= 195

The equation that has an infinite number of solutions is \(2x + 3 = \frac{1}{2}(4x + 2) + 2\)

An equation that has an infinite number of solutions would be in the form

a = a

This means that both sides of the equation would be the same

Start by simplifying the options

3(x – 1) = x + 2(x + 1) + 1

3x - 3 = x + 3x + 2 + 1

3x - 3 = 4x + 3

Evaluate

x = 6 ----- one solution

x – 4(x + 1) = –3(x + 1) + 1

x - 4x - 4 = -3x - 3 + 1

-3x - 4 = -3x - 2

-4 = -2 ---- no solution

\(2x + 3 = \frac{1}{2}(4x + 2) + 2\)

2x + 3 = 2x + 1 + 2

2x + 3 = 2x + 3

Subtract 2x

3 = 3 ---- infinite solution

Hence, the equation that has an infinite number of solutions is \(2x + 3 = \frac{1}{2}(4x + 2) + 2\)

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Complete question

Which equation has infinite solutions?

3(x – 1) = x + 2(x + 1) + 1

x – 4(x + 1) = –3(x + 1) + 1

\(2x + 3 = \frac{1}{2}(4x + 2) + 2\)

\(\frac 13(6x - 3) = 3(x + 1) - x - 2\)

Answer:

279 feet

Step-by-step explanation:

To find x, we solve using the Trigonometric function of Tangent

tan θ = Opposite/ Adjacent

θ = 64°

Length of the shadow = Adjacent = 136 feet

Height of the building = Opposite = h

Hence,

tan 64 = h/136 feet

Cross Multiply

h = tan 64 × 136 feet

h = 278.84132245 feet

Approximately, h to the nearest foot ≈ 279 feet

Therefore, the height of the building = 279 feet

a) Reflection points Q'R'S'T' are as follows:

Q' ( -2, -1 )

R' ( -7, 1 )

F' ( -6, -2 )

G' ( -1, -4 )

b) Translation points Q''R''S''T'' as follows

Q'' ( -1, -8 )

R'' ( 4, -6 )

F'' ( 3, -9 )

G'' ( -2, -11 )

Given data

Q(2, -1),

R(7, 1),

S(6, -2),

T(1, -4).

The reflection in y axis is gotten by changing the signs of the x instance:

Reflecting across y axis is done for example A ( x, y ) to AA

AA will be ( -x, y ).

a) Using this procedure we get reflection points Q'R'S'T' as follows

Q ( 2, -1 ) ⇒ Q' ( -2, -1 )

R ( 7, 1 ) ⇒ R' ( -7, 1 )

S ( 6, -2 )  ⇒ F'' ( -6, -2 )

T ( 1, -4 ) ⇒ G'' ( -1, -4 )

Translation about a given value is done as follows say point B ( 5, 10 ) and the translation of ( x - 2, y - 3 ) the new points will be

BB ( 5 - 2, 10 - 3 ) = BB ( 3, 7)

b) Using this procedure we get  translation points Q''R''S''T'' as follows

Q ( 2, -1 ) ⇒ Q'' ( -1, -8 )

R ( 7, 1 ) ⇒ R'' ( 4, -6 )

S ( 6, -2 )  ⇒ F' ( 3, -9 )

T ( 1, -4 ) ⇒ G' ( -2, -11 )

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Any probability statement involving a normal random variable can be converted to an equivalent statement involving a standard normal random variable through the process of standardization.

Standardization is converting a normal random variable, X, to a standard normal random variable, Z, by subtracting its mean, μ, and dividing by its standard deviation, σ. The formula for standardization is given:

Z = (X - μ) / σ

Once a normal random variable has been standardized, it is easier to find probabilities because the standard normal distribution is well-known and widely used in statistical analysis. For example, if X is normally distributed with mean μ and standard deviation σ, the probability of X being between two values a and b can be found using the cumulative distribution function (CDF) of the standard normal distribution.

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(f + g)(6) = 39 represents the total number of animals adopted by both shelters in 6 months, based on the combined adoption rates of the two shelters.

Part A:

To find (f + g)(x), we add the functions f(x) and g(x):

(f + g)(x) = f(x) + g(x)

= (3x + 10) + (x + 5) (substitute the given functions)

= 4x + 15 (combine like terms)

Therefore, (f + g)(x) = 4x + 15.

Part B:

To evaluate (f + g)(6), we substitute x = 6 into the (f + g)(x) function:

(f + g)(6) = 4(6) + 15

= 24 + 15

= 39

Therefore, (f + g)(6) = 39.

Part C:

The value of (f + g)(6) represents the combined number of animals adopted by both shelters after 6 months. The function (f + g)(x) gives us the total adoption rate of the two shelters at any given time x. When x = 6, the combined adoption rate was 39 animals.

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Answer:

it is 40

Step-by-step explanation:

it can be by your multiple of 8 and 5 then you will see the 40 and that is your answer

Answer:

  16x⁸y³

Step-by-step explanation:

You want to simplify (4x⁴y³)(4x⁴).

The relevant rule of exponents is ...

  (a^b)(a^c) = a^(b+c)

The simplified form is ...

  \((4x^4y^3)(4x^4) =(4\cdot4)x^{4+4}y^3=\boxed{16x^8y^3}\)

The equilateral triangle shown has three sides and three angles that are all the same. This should be the equilateral triangle theorem, however the answer selections do not cover it.

An equilateral triangle is a triangle with three equal-length sides in geometry. An equilateral triangle's sides are congruent, which indicates that all sides are the same length. All of the inner angles are also identical (60 degrees). An equilateral triangle is a triangle with all of its sides equal in length. Because the three sides are equal, the three angles opposing the equal sides are also equal in size. As a result, it is also known as an equiangular triangle, with each angle measuring 60 degrees.

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The point where the lines intersect in the plane is found as the  (32/7, 20/7).

The problem requires finding the point where the three lines in the plane, each given in the general form of a linear equation, intersect.

The general form of the linear equation,  Ax + By + C = 0, can be written in the form of the parametric equations of a line, given by x = x₀ + at and y = y₀ + bt, where (x₀, y₀) is a point on the line, (a, b) is a direction vector of the line, and t is a parameter.

In this way, the system of linear equations can be written as

{x₀₁ + a₁t = x₀₂ + a₂s = x₀₃ + a₃u, y₀₁ + b₁t = y₀₂ + b₂s = y₀₃ + b₃u,} where the parameters t, s, and u are all equal to the same value, which is the solution to the system of equations.

The first line is given by the equation 2x + y - 12 = 0. Rearranging this equation to get it into the form Ax + By + C = 0 yields x = 6 - y/2. In the parametric form, this equation becomes x = 6 - t/2, y = t.

The second line is given by the equation 4x - y + 1 = 0.

Rearranging this equation to get it into the form Ax + By + C = 0 yields x = (y - 1)/4.

In the parametric form, this equation becomes x = s/4, y = 1 + 4s.

The third line is given by the equation 3x - y + 6 = 0.

Rearranging this equation to get it into the form Ax + By + C = 0 yields x = (y - 6)/3.

In the parametric form, this equation becomes x = u/3, y = 6 + 3u.

Now we can set these parametric equations equal to each other to get the solution to the system of linear equations. Equating x yields:6 - t/2 = s/4 = u/3

Solving for u in the third equation yields u = 9 - 3x.

Substituting this into the equation for x in the first equation yields:6 - t/2 = s/4 = (9 - 3x)/3

Simplifying yields:12 - 3t = 2s = 12 - 4x

Substituting x = (y - 6)/3 into the equation yields:12 - 3t = 2s = 12 - 4(y - 6)/3

Solving for t in the first equation yields t = 4 - (2/3)s.

Substituting this into the second equation yields: 8/3 + 2/3s = 2s

Solving for s yields s = 8/7.

Substituting this into either equation yields t = 20/7.

Substituting these values into the equations for x and y yields:x = 6 - t/2 = 6 - 10/7 = 32/7y = t = 20/7

The point where these three lines intersect is therefore (32/7, 20/7).

This can be verified by substituting these values into each of the three equations to check that they satisfy all three simultaneously.

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Answer:

377 possible meals

Step-by-step explanation:

Let's split this up into 3 cases: one course, two courses, and three courses.

Case 1:

The customer only eats one course. If so, that means they only eat an appetizer, a main meal, or a dessert. There are 6 choices of an appetizer, 8 for a main meal, and 5 for a dessert. Add these together:

6 + 8 + 5 = 19

Case 2:

The customer will eat two courses. If so, that means they eat:

- appetizer + main meal

There are 6 choices for appetizer and 8 for main meal, so in total, there are 6 * 8 = 48 choices.

- appetizer + dessert

There are 6 choices for appetizer and 5 for dessert, so in total, there are 6 * 5 = 30 choices.

- main meal + dessert

There are 8 choices for the main meal and 5 for dessert, so in total, there are 8 * 5 = 40 choices.

So, if the customer eats 2 courses, they have 48 + 30 + 40  = 118 choices.

Case 3:

The customer will eat three courses.

Since there are 6 choices for an appetizer, 8 for a main meal, and 5 for dessert, we multiply them together to get:

6 * 8 * 5 = 240 total choices

Finally add all the total choices from each of the 3 cases:

19 + 118 + 240 = 377 possible meals

~ an aesthetics lover

When the larger number is divided by the smaller, the quotient is 2 and the remainder is 4 then the two numbers are 18 and 7.

The first number would be x, leaving the other number to be x+11 (which would make it the bigger number) the quotient is:

\($\frac{x+11}{x}\)

Since it had a remainder of 4, it meant that the numerator was 4 more than having the divisor going in evenly ( had 4 left over) or it would have gone in exactly 2 times

It will take away 4 from the number being divided into (for it was just 4 too big for the divisor going in evenly) making

\($\frac{x+11-4}{x}=2$$\)

combine on top

\($\frac{x+7}{x}=2$$\)

Multiply both sides by x so it cancels on the left side with the denominator, giving

x + 7 = 2 x

subtract the x from both sides leaving

7 = x

So 7 was the first number and 18(x+11) is the second number

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Answer:

3x² + 12x + 19

Step-by-step explanation:

I'm assuming this is a multiple choice question and you just didn't provide the choices so I will just simplify and hope for the best.

(x+2)(x+2) = x² + 2x + 2x + 4

3(x² + 4x + 4) + 7

3x² + 12x + 12 + 7

3x² + 12x + 19

Given:

5, 12, 8, 19, 12, 12

Aim:

We need to find the range of days taken for medical leave for each month.

Explanation:

Rewrite the given data in terms from least to great values

5,8,12,12,12,19

The smallest value is 5.

The highest value is 19.

Recall that the range is the difference between the highest and lowest values in the set.

Final answer:

The range of days taken for medical leave for each month is 14 days.