x/4 = 1/3 what is x?

Therefore, the distance between Greensville and Bluesburg is 412.5 miles.

Caitlin drove from Greensville to Bluesburg at a speed of 50 miles per hour. On the way back, she drove at 75 miles per hour. The total trip took 7 and 1/2 hours of driving time. We are to find the distance between the two cities.Solution:

Let the distance between the two cities be d.Caitlin drove from Greensville to Bluesburg at a speed of 50 miles per hour. Let the time taken for this journey be t.

Using the formula, distance = speed x time, we get

;d = 50t (1)

On the way back, Caitlin drove at 75 miles per hour.

Let the time taken for this journey be t1.Using the formula, distance = speed x time, we get;d = 75t1 (2)We know that the total trip took 7 and 1/2 hours of driving time.Using equations (1) and (2),

we get

;\(50t + 75t1 = d + d = 2dd = 25(2t + 3t1) (3)\)

Also, we know that the total trip took 7 and 1/2 hours of driving time.Using equations (1) and (2),

we get;

t + t1 = 7.5 (4

)From equation (4), we can say;

t1 = 7.5 - t (5)

Substituting equation (5) into equation (3),

we get;

\(d = 25[2t + 3(7.5 - t)]\)

\(d = 25(15/2 + t/2)\)

\(d = 187.5 + 12.5td/25 = 15 + t/2d = 375 + 25td/2\)

Putting t = 3 in the above equation, we get

;\(d = 375 + 25(3)/2d = 375 + 37.5d = 412.5\)\(miles\)

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x + 2 = 4

5 x = 10

because 1st one is not an equation

3rd , 4th and 5th also

There are 120 different 4-letter words that can be formed from the word "image" using permutations without repetition.

To find the number of 4-letter words that can be formed from the word "image" using permutations without repetition, we can consider the number of choices for each position in the word.

The word "image" has 5 letters: 'i', 'm', 'a', 'g', and 'e'. We need to choose 4 letters to form a 4-letter word. Since repetitions are not allowed, each letter can only be used once.

For the first position in the word, we have 5 choices (any of the 5 letters in "image" can be used).

For the second position, we have 4 choices left (one letter has already been used).

For the third position, we have 3 choices left.

For the fourth position, we have 2 choices left.

Using the multiplication principle, the total number of 4-letter words that can be formed is given by:

5 choices for the first position × 4 choices for the second position × 3 choices for the third position × 2 choices for the fourth position.

This can be expressed as 5! / (5 - 4)! since we are selecting 4 letters out of 5 without repetition.

Simplifying, we have:

5! / (5 - 4)! = 5! / 1! = 5 × 4 × 3 × 2 = 120.

Therefore, there are 120 different 4-letter words that can be formed from the word "image" using permutations without repetition.

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Answer:

44

Step-by-step explanation:

Answer:

\(\sqrt[15]{x^7}\)

Step-by-step explanation:

If we have the expression

\(\frac{x^{\frac{4}{5}}}{x^{\frac{1}{3}}}\), we have to think about exponent rules.

If we have \(a^b \div a^c\), then the value will be equal to \(a^{b-c}\).

So \(\frac{x^{\frac{4}{5}}}{x^{\frac{1}{3}}}\) simplified will be \(x^{\frac{4}{5} - \frac{1}{3}}\)

Converting \(\frac{4}{5}\) and \(\frac{1}{3}\) into fifteenths (lcm) gets us \(\frac{12}{15} - \frac{5}{15} = \frac{7}{15}\).

We can convert \(x^{\frac{7}{15}}\) into a radical by taking the denominator root of x to the numerator.

\(\sqrt[15]{x^7}\).

Hope this helped!

Answer:

325

Step-by-step explanation:

∠IJG = ∠FGE (they are corresponding angle)

So, ∠FGE = 50°

Answer:

∠FGE is also 50°

Step-by-step explanation:

they are corresponding angles.

Answer:

10t+3

Step-by-step explanation:

Answer:

10t+3

Step-by-step explanation:

Answer:

We can't see the functions. We also can read the domain or the range. Personal suggestion is to write the domain  and range (-infity, 0) but substitute in what applies to your situation.

Step-by-step explanation:

Answer:

binomial

Step-by-step explanation:

2 terms

Answer:

binomial

Step-by-step explanation:

2 terms (-2.5x^2y) and (-4). when different variables are being multiplied in that form, they are considered as 1 term.

above is the answer. typing is not getting allowed dunno why

Answer:

Step-by-step explanation:

44) I’ll try to explained detailed as possible.

So first of all we have: 180-120=60 => this is the value of angle(BCA)

=> we know that a triangle has 180 degree in total =>

Now we will have to add all angles,their sum will be equal to 180.

=> (2x+28)+(3x-13)+60=180

2x+28+3x-13=180-60

5x+15=120

5x=105

x=105/5

x=21

=> m(BAC) = 2x+28=29*2+28=58+28=86 degree.

Answer: C: f(-1)=0

Step-by-step explanation:

To find f(-1), we look for the value under f(x) that corresponds to x=-1. This value is 0.

(a) To prove by contrapositive that if x+y is rational, then either x or y (or both) is rational. (b) To prove by contradiction that if x*y > 100 for positive real numbers x and y, then either x > 10 or y > 10.

(a) To prove by contrapositive, we assume that x+y is rational and x is irrational. Then, we can write y = (x+y) - x. Since x+y and x are both rational, their difference y must also be rational, which contradicts the assumption that y is irrational. Therefore, if x is irrational and y is irrational, then x+y must be irrational.

(b) To prove by contradiction, we assume that xy > 100 and both x and y are less than or equal to 10. Then, we can write x = 10-a and y = 10-b, where a and b are positive numbers. Substituting these values in the inequality, we get (10-a)(10-b) > 100, which simplifies to ab > 1.

This contradicts the assumption that both a and b are positive numbers. Therefore, if x*y > 100, then either x > 10 or y > 10.


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To determine if a misspelled name is repeated throughout a dataset, a data analyst can use the COUNT function. This function counts the number of occurrences of a value in a range of cells.

Alternatively, the data analyst could use the COUNTA function, which counts the number of cells in a range that contain data (including text and numbers, but not empty or blank cells). The COUNTA function would also count the number of occurrences of the misspelled name in the dataset.

What is a dataset, using an example?

A collection of numbers or values pertaining to one subject constitutes a data set. An example of a data set might be each student's test scores for a certain class. The amount of fish that each dolphin eats in an aquarium is a data set.

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Answer:

b

Step-by-step explanation:

to find the answer to this you sould divide the amount of pints by the number of bottles

18/8

which is also 2 2/8

so the answer is b

C. True, because to use the Law of Sines, at least two sides must be known.

The Law of Sines is a trigonometric rule that relates the sides and angles of any triangle. It states that the ratio of the length of a side of a triangle to the sine of the angle opposite that side is the same for all three sides of the triangle.

To use the Law of Sines, at least two sides and the angle opposite one of them (or two angles and one side) must be known.

Therefore, the statement "The Law of Sines can be used to solve triangles where three sides are known" is false, as it is not necessary to use the Law of Sines to solve a triangle where all three sides are known.

In summary, the correct answer is C. True, because to use the Law of Sines, at least two sides must be known.

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The solution to the provided expression using the difference of square formula of algebra is a=1.

The difference of square says, the difference of the square of two terms is equal to the product of their sum and difference. It can be given as,

a^2-b^2=(a+b)(a-b)

The given expression in the problem is,

\(15(2a - 2) = 5(a^2 -1)\)

From the property of difference of square, the above equation can be written as,

\(15(2a - 2) = 5[(a +1)(a-1)]\\15\times[2(a - 1)] = 5[(a +1)(a-1)]\)

Divide both side of the equation with (a-1) as,

\(5\times2 = 5(a +1)\)

Divide both side of the equation with number 5 as,

\(2 = (a +1)\\a=2-1\\a=1\)

Hence, the solution to the provided expression using the difference of square method of algebra is a=1.

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The solutions to 15(2a – 2) = 5(a2 – 1) are:

a = 1, a = –1

a = 5, a = –1

a = 5, a = 1

Answer:

C. a = 5, a = 1

Step-by-step explanation:

Answer:

Tu intiendo engles? Me inteindo poquito espanol but me no inteindo mas/

False. In the given scenario, the statement "the cost function is always greater than the revenue function" is unrelated to the question about drawing three numbers whose sum is 13.

The truth or falsity of the statement does not affect the calculation of the number of ways three numbers can be drawn with a sum of 13.

To determine the number of ways three numbers can be drawn with a sum of 13, we can use a combinatorial approach. We need to find the number of combinations of three numbers from the set {1, 2, 3, ..., 10} that add up to 13. This can be done by considering different cases and using combinations or counting techniques.

Note: If you have any further questions regarding the cost and revenue functions or any other topic, please let me know, and I'll be happy to assist you.

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for 7 pints

answer 14 cups

so in the template above for a conic, the defining components are the coefficients A and C

If either A=0 or C=0, then the equation is a parabola

if A=C, then we have a Circle

if either A or C is negative, and A≠C, then we have a hyperbola

if A and C are both positive or both negative, and A≠C, then we have an ellipse.

Lin is correct in thinking that the graph of g will be the same as the graph of f, translated to the left by 2 units.

The function g(x) = f(x - 2) is obtained by shifting the graph of f to the right by 2 units, which means that the point (a, f(a)) on the graph of f is mapped to the point (a - 2, f(a)) on the graph of g. Therefore, the shape of the graph of f remains the same, but its position is shifted to the right by 2 units to obtain the graph of g.

This can be seen by considering the effect of the transformation on the key features of the graph of f, such as its intercepts, maxima, and minima. For example, if f has a maximum at x = c, then g will have a maximum at x = c + 2. Similarly, if f intersects the x-axis at x = d, then g will intersect the x-axis at x = d + 2.

Therefore, Lin's reasoning is correct, and the graph of g will be the same as the graph of f, translated to the left by 2 units.

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Answer:

49.5 $

Step-by-step explanation:

Comencemos por lo siguiente:

Si llamamos  x al precio del  par de zapatos  y  "y"  al precio de cada pantalón, entonces la tienda ofrece:

un par de zapatos   x    más dos pantalones   2*y  en  70.000 $  (deben ser 70 $ pero esa cifra no importa a los fines de resolver el problema, habrá solo que hacer el ajuste correspondiente, en lo que aqui respecta hablaremos de 70 $)

Entonces  de acuerdo a lo expuesto

x  +  2y  =  70         or    y  =  ( 70 - x) /2      (1)

Esa es la condición inicial.

Ahora bién  Juan paga por tres pantalones  38.25 $

Eso quiere decir ( como los pantalones son iguales) que pago 38.25/3 por cada pantalón

38.25/3  =  12.75 $

Ahora bién ese precio tubo una rebaja del precio original del 15 % ( quiere decir que el precio original de cada pantalón es de

12.75/0.85  =  15 $            x =  15 $

Entonces si nos vamos a la ecuación (1) (alli los precios son originales) tenemos que

y  =  ( 70  - x ) / 2       y  =  ( 70 - 15 ) / 2    y  = 55/2     y  =  27.5 $

Ahora Juan paga por dos pares de zapatos donde según las ofertas de la tienda el debera tener un descuento del 10 % en cada par

Por lo que si  un par cuesta  27.5 $  le darán un descuento del 10% es decir pagará  27.5 *0.9 =   24.75  por cada par, como son dos pares

pagará 2 * 24.75  =   49.5 $

Answer:

a= 74

c= 10

d= 25

e= 10

f=16

g= 90

h= 24

j= 26

k= 154

m= 70

n= 170

p= 156

r= 154

s= 129

t= 148

v= 55

w= 41

x= 55

y= 24

z= 106

Step-by-step explanation:

Answer:

d: 25

g: 90

r: 154

j: 26

k: 154

f: 16

c: 10

e: 10

n: 170

s: 129

p: 156

y: 24

h: 24

t: 148

w: 41

a: 74

z: 106

v: 55

x: 55

m: 70

Just made my brain explode, but hope this helps! xD

Step-by-step explanation:

40% of the coins are pennies. To calculate the percentage, divide the number of pennies by the total number of coins and multiply by 100:

(240 / 600) * 100 = 40.

Esteban has a container loaded up with a lot of coins in his room and he needs to understand which level of the coins are pennies. There are 600 coins altogether and 240 of them are pennies. To figure out the level of pennies, we really want to do a straightforward estimation. We partition the quantity of pennies by the all out number of coins and afterward increase the outcome by 100. The response we get is 40%, and that implies that 40 out of 100 coins picked haphazardly from the container would be pennies. At the end of the day, close to half of the coins in the container are pennies. This data can provide us with a smart thought of the conveyance of coins in the container.

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Answer:es, theoretically you would expect to roll only eight 5s. 3. You survey 100 people in your school and ask them if they feel your school has adequate parking. Only. 30% of the sample feels the school has enough parking. If you have 728 students total in your school, how many would you expect out of all the student body that ...

Step-by-step explanation:

Answer:

B and false

Step-by-step explanation:

Lol

The statement proves the conjecture which is the area of the rectangle ABDE and AB×AE=24 units.

The formula for area is equal to the product of the length and breadth of the rectangle. Whereas when we speak about the perimeter of a rectangle, it is equal to the sum of all its four sides.

Given here: The triangle ABDE with AB and AE as the length and AB as the breadth.

Thus the area of the rectangle ABDE= 6×4

                                                             =24 units

Thus, The conjecture is True as the rectangle ABDE and the area of the rectangle is equal to 24 units.

Hence, The statement proves the conjecture which is the area of the rectangle ABDE and AB×AE=24 units.

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To find the polar coordinates (r, θ) corresponding to the Cartesian coordinates (-6, 6), we can use the following formulas:

r = √(x² + y²)

θ = arctan(y / x)

(a) For the given point (-6, 6):

x = -6

y = 6

First, let's find the value of r:

r = √((-6)² + 6²) = √(36 + 36) = √72 = 6√2

Next, let's find the value of θ:

θ = arctan(6 / -6) = arctan(-1) = -π/4 (since the point lies in the third quadrant)

Therefore, the polar coordinates of the point (-6, 6) are (6√2, -π/4).

(b) For r > 0 and 0 ≤ θ < 2:

In this case, the polar coordinates will remain the same: (6√2, -π/4).

(c) For r < 0 and 0 ≤ θ < 2:

Since r cannot be negative in polar coordinates, there are no valid polar coordinates for r < 0 and 0 ≤ θ < 2.

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Answer:

2.5 km long after 59 miles

Answer:

50 miles

Step-by-step explanation:

Answer:

I think its

|x| = 5

Step-by-step explanation:

Answer:

|x|<5

Step-by-step explanation: