Find the value of x.

​

Answer:

460 feet

Step-by-step explanation:

Answer:

42 units ^2

Step-by-step explanation:

Break in to a top triangle   a middle rectangle and a bottom triangle

area =   1/2 7 *2      +    4 * 7        1/2 * 2 * 7 = 42 units ^2

Answer:

A) 140

B) 75

C) 80

D) 20

E) 80

Step-by-step explanation:

Para resolver este problema debemos construir un diabrama de Venn y llenarlo según los datos que se nos brindan.

Comenzamos nombrando cada círculo:

E= personas que usan máquinas eléctricas

M= personas que usan máquinas mecánicas

C = personas que usan computadoras.

- Luego llenamos el área central con un 20, el cual representa las personas que usan los 3 tipos de maquinas.

- En la parte exterior del diagrama de Venn colocamos un 60 por las personas que no usan ninguna de las máquinas.

- En la intersección entre M y C restamos:

25-20=5

Entonces colocamos este 5 en esa región.

- En la intersección entre E y C restamos:

35-20=15

Entonces colocamos este 15 en esa región.

- En la intersección entre E y M restamos:

40-20=20

Entonces colocamos este 20 en esa región.

- En la región de E restamos:

110-20-20-15=55

Entonces colocamos este 55 en esa región.

- En la región de M restamos:

50-20-20-5=5

Entonces colocamos este 5 en esa región.

- En la región de C restamos:

60-15-20-5=20

Entonces colocamos este 20 en esa región.

Y obtenemos el diagrama de Venn que representa esta encuesta (Ver figura adjunta)

Y ahora ya lo podemos usar para responder a las preguntas:

A) Número de personas que no usan computadora. Sumamos los números fuera del círculo C:

55+20+5+60=140

B) Número de personas que usan una máquina eléctrica pero no computadora: Sumamos los números dentro del círculo E con excepción de los números compartidos por el círculo C y obtenemos:

55+20=75

C) Número de personas que usan solo un equipo: Sumamos los números no compartidos en los círculos E, M y C

55+20+5=80

D) Número de personas que usan máquina mecánica y eléctrica pero no computadora: Usamos el número compartido entre E y M que no son compartidos con C

20

E) Sumamos el número que se encuentra solo en C y los que están afuera del diagrama:

20´60=80

Answer:

w + w

Step-by-step explanation:

w + w   * 1 is the coefficent of w *

1w + 1w

(1+1) w

2w

Answer:

w+w

Step-by-step explanation:

The most appropriate statement is that C. The shaded area represent both 2/3 and 6/9 of the whole shape.

Fractions are numbers which are of the form a/b where a and b are real numbers. This implies that a parts of a number b.

Given a square.

This square is divided in to 9 equal sized squares, with 3 rows and 3 columns.

Out of the 9 equal sized squares, 6 squares are shaded.

We can write the fraction of shaded squares to total number of squares as 6/9.

In the same way, we have in the question that, 6 squares which are shaded is the squares in the first two columns, where each column has three squares.

So we can say that, out of 3 equal sized columns, two columns are shaded.

Fraction of shaded columns to total columns is 2/3.

So 2/3 = 6/9.

Hence shaded area represent both 2/3 and 6/9 of the whole shape.

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Answer:

The missing dimension of the prism is (x-4)

Step-by-step explanation:

Here, we want to find the missing dimensions of the prism

To get the volume, we are to multiply three dimensions since we are talking about volume

Mathematically, to find the third dimension, we need to divide the original polynomial by the product of the two other dimensions

The product of the two other dimensions is;

(x-1)(x-9) = x^2-9x-x + 9

= x^2-10x+ 9

So we divide;

(x^3-14x^2+49x-36)/(x^2-10x+ 9)

We can use long division to get this

using long division, the answer here is x-4

The volume of a prism is the product of its dimensions.

The missing dimension of the prism is x - 4

The volume function is given as:

\(\mathbf{V(x) = x^3 - 14x^2 + 49x - 36}\)

Let the missing dimension of the prism be y.

So, the volume is calculated using:

\(\mathbf{V(x) = y \times (x - 9) \times (x -1)}\)

Multiply the factors

\(\mathbf{V(x) = y \times ( x^2-9x-x + 9)}\)

\(\mathbf{V(x) = y \times ( x^2-10x + 9)}\)

Equate both expressions of volume

\(\mathbf{y \times ( x^2-10x + 9) = x^3 - 14x^2 + 49x - 36}\)

Make y the subject

\(\mathbf{y = \frac{x^3 - 14x^2 + 49x - 36}{x^2-10x + 9 }}\)

Factor the numerator

\(\mathbf{y = \frac{(x - 4)(x^2-10x + 9 )}{x^2-10x + 9 }}\)

Cancel out common factors

\(\mathbf{y = x - 4}\)

Hence, the missing dimension of the prism is x - 4

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Answer:

6,912....

Step-by-step explanation:

6 times 12 times 6 time 4 times 4 = 6,912

Answer:

= 360 ft³

Step-by-step explanation:

Rectangular prism

Volume = length x width x height

V = l x w x h

V = 12 x 6 x 4

V = 288 ft³

Triangular prism

Volume = 1/2 x base x height x length

V = 1/2 x 6 x 4 x 6 ( the width of the rectangular prism is the base of the triangular prism)

V = 1/2 x 144

V = 72 ft³

ADD BOTH VOLUMES

= 288 + 72

= 360 ft³

Step-by-step explanation:

one gallon is 128oz.

1445 gallons are how many Oz?

that applies the same principle as every-day situations like "every guest will eat 2 dumplings. 12 guests are coming, so how many dumplings do I have to prepare ?"

or totally simple : "every child will get one gift. 4 children are coming, so how many gift do I have to prepare ?"

it all works with multiplication. it is the ultimate application for multiplication.

that is why we use "times" in normal language as in mathematical terms. like "it takes 3 screws to mount a leg to a table. and the table needs 4 legs. how many times do I need to fasten a screw to finish one table ?" well, 4 times 3 or 4×3 = 12 times.

and so, the answer to the original question is then I need to take the amount of one gallon 1445 times.

128 × 1445 = 184,960oz

Answer:

Yes circumference divided by ratio equals to pi

Answer:

Step-by-step explanation:

Answer:

Here am i

Step-by-step explanation:

I can help u with any question

Explаnаtion is in а file

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Answer:

x^2+4x+4 would make it a perfect square.

Step-by-step explanation:

The number terms in the given expression is 3, they are 5xy, -3x and -82.

The given expression is 5xy-3x-82.

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

The terms involved in an expression in math are:

Constant: A constant is a fixed numerical value.

Variable: A variable is a symbol that doesn't have a fixed value.

In the given expression 5xy-3x-82, there are three terms, which are 5xy, -3x and -82.

Therefore, the number terms in the given expression is 3, they are 5xy, -3x and -82.

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Answer:

---------------------------

Use slope equation:

Use distance equation:

Answer: 0.66666666666667

Step-by-step explanation:

2 divided by 3

Answer:

3.4641

Hope this helps you :)

Laurel must increase her net income to $10,000 in order to keep her housing costs at 25%.

To determine how much Laurel must increase her net income in order to keep her housing costs at 25%, we need to know the following information:

The amount of Laurel's new mortgage, which is $2500

The percentage of Laurel's net income that she wants to use for housing costs, which is 25%

To find the amount of net income that Laurel needs to maintain a housing cost of 25%, we can use the following formula:

Net income = Mortgage / (Housing cost percentage)

Substituting the values from the problem, we get:

Net income = $2500 / (25/100)

Net income = $2500 / 0.25

Net income = $10,000

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Laurel must increase her net income to $10,000 to keep her housing costs at 25%.

The amount of Laurel's new mortgage is $2500

The percentage of Laurel's net income that she wants to use for housing costs, which is 25%

To find the amount of net income that Laurel needs to maintain a housing cost of 25%, we can use the following formula:

Net income = Mortgage / (Housing cost percentage)

Substituting the values from the problem, we get:

Net income = $2500 / (25/100)

Net income = $2500 / 0.25

Net income = $10,000

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2x - 3y = 6​

subtract 2x form both sides of the equation:

2x-3y-2x= 6-2x

-3y= 6-2x

Divide both sides by -3

-3y/-3= (6-2x)/-3

y= -2+2/3x

A scale that allows us to rank individuals or objects, but not say anything about the meaning of the differences between the ranks, is an ordinal scale.

Therefore, a scale that allows us to rank individuals or objects, but not say anything about the meaning of the differences between the ranks, is an ordinal scale.

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Given in the question:

a.) Yahoo in Sunnyside currently has a staff of 6200 employees.

b.) Next month Yahoo will decrease its staff by 8%.

To be able to get how many people will be employed by Yahoo next month, we will be using this formula:

We get,

Therefore, there will be 5,704 people employed by Yahoo next month.

In equation (1) the value of y = 3/5 and In equation (2) the value of y = 5/4

In the given statement is

Solve 2x + 5y = -1 for y.

To find the value of y when x= -2

Now, Equation is 2x + 5y = -1 …..(1)

Put the value of x = -2 in eq. 1

2 (-2) + 5y = -1

-4 + 5y = -1

5y = -1 + 4

y = 3/5

Again,  Solve 2xy - x = 3 for y

To find the value of y when x = 2

Now, Equation is : 2xy - x = 3 ….(2)

Put the value of x = 2 in eq. (2)

2(2)y - 2 = 3

4y - 2 = 3

4y = 5

y = 5/4

Hence, In equation (1) the value of y = 3/5 and In equation (2) the value of y = 5/4

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Answer:

70 Km/ h

Step-by-step explanation:

speed = \(\frac{distance }{time}\) = \(\frac{210}{3}\) = 70 Km/h

If your target number of calories to lose weight is 1,703 per day, but you are consuming 2,399 calories per day, then your target is to consume approximately 70% of the calories you are currently consuming.

To find the percentage of the target calories in relation to the current calories, we can divide the target calories by the current calories and multiply by 100. So, the calculation would be:

Percentage = (Target Calories / Current Calories) * 100

Substituting the values, we get:

Percentage = (1,703 / 2,399) * 100 ≈ 70%

Therefore, your target is to consume approximately 70% of the calories you are currently consuming in order to meet your weight loss goal.

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If the derivative of the function is positive, the function is increasing; if the derivative is negative, the function is decreasing.

What is a logarithmic function?

A logarithmic function is a type of mathematical function that expresses the power to which a given number (the base) must be raised in order to produce a certain value. It is typically written in the form: \(f(x) = log_b(x),\) where b is the base of the logarithm.

To determine whether a logarithmic function is increasing or decreasing, you can look at the sign of the derivative of the function. If the derivative is positive, the function is increasing; if the derivative is negative, the function is decreasing.

In the case of logarithmic functions, the derivative of \(f(x) = log_b(x)\) is f'(x) = 1/x*ln(b), which is always positive for x > 0, so the logarithmic function is increasing for any base b.

Hence, if the derivative of the function is positive, the function is increasing; if the derivative is negative, the function is decreasing.

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If the derivative of the function is positive, the function is increasing; if the derivative is negative, the function is decreasing.

What is a logarithmic function?

A logarithmic function is a type of mathematical function that expresses the power to which a given number (the base) must be raised in order to produce a certain value. It is typically written in the form: \(f(x)=log_b(x)\). where b is the base of the logarithm.

To determine whether a logarithmic function is increasing or decreasing, you can look at the sign of the derivative of the function. If the derivative is positive, the function is increasing; if the derivative is negative, the function is decreasing.

In the case of logarithmic functions, the derivative of \(f(x)=log_b(x)\). is f'(x) = 1/x*ln(b), which is always positive for x > 0, so the logarithmic function is increasing for any base b.

Hence, if the derivative of the function is positive, the function is increasing; if the derivative is negative, the function is decreasing.

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Answer: X is equal to either 0 or -42

Step-by-step explanation:

Answer:

A complete angle measures - 360⁰

So, (x-5) + (2x-25) + 3x = 360⁰

6x - 30 = 360⁰

x- 5 = 360/6

x = 65⁰

Thus, x-5 = 60⁰

2x - 25 = 105⁰

3x = 195⁰

Step-by-step explanation:

Imagine X as the amount of strawberries. If we wanted to put an even amount into 4 bags, we would have to divide the strawberries by 4. The equation would look like X divided by 4.

Answer:

Imagine X as the amount of strawberries. If we wanted to put an even amount into 4 bags, we would have to divide the strawberries by 4. The equation would look like X divided by 4.

Step-by-step explanation:

Navigation A plane flies 810 miles from Franklin to Centerville with a bearing of 75∘. Then it flies 648 miles from Centerville to Rosemount with a bearing of 32∘. 63.7° is the straight-line distance and bearing from Franklin to Rosemount.

The scenario of the plane travelling from Franklin to Centerville and subsequently from Centerville to Rosemount is depicted in the figure below.

From Franklin to Centerville, the bearing is 75°, and from Centerville to Rosemount, the bearing is 32°. The hypotenuse of the triangle created by these two legs of travel is the straight-line distance from Franklin to Rosemount, which can be computed using the Pythagorean theorem as  √(810² + 648²) = 1040 miles.

The angle between the two legs, which can be determined using the Law of Cosines as cos⁻¹((810²+648²-1040²)/(2×810×648)) = 63.7°, is the bearing from Franklin to Rosemount.

Complete Question:

Navigation A plane flies 810 miles from Franklin to Centerville with a bearing of 75∘. Then it flies 648 miles from Centerville to Rosemount with a bearing of 32∘. Find the straight-line distance and bearing from Franklin to Rosemount.

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Answer:

they are both correct due to the commutative property

The Alexander family used their sprinkler for 35 hours, and the Chen family used their sprinkler for 30 hours.

To find out how long each sprinkler was used, we can set up a system of equations. Let's say the Alexander family used their sprinkler for x hours, and the Chen family used their sprinkler for y hours.

From the given information, we know that the water output rate for the Alexander family's sprinkler is 30 liters per hour. Therefore, the total water output from their sprinkler is 30x liters.

Similarly, the water output rate for the Chen family's sprinkler is 40 liters per hour, resulting in a total water output of 40y liters.

Since the combined total water output from both sprinklers is 2250 liters, we can set up the equation 30x + 40y = 2250.

We also know that the families used their sprinklers for a combined total of 65 hours, so we can set up the equation x + y = 65.

Now we can solve this system of equations to find the values of x and y, which represent the number of hours each sprinkler was used.

By solving the equation we get,

The Alexander family used their sprinkler for 35 hours, and the Chen family used their sprinkler for 30 hours.

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