Which value of y is a solution of this inequality? ​ 3y−4<11

Answer:

Step-by-step explanation:

Let T represent table and B represent bench. The garden table costs $62 less than the bench. T = B - 62. plug T = B - 62 into T + B = 788. B - 61 + B = 788. This gives us 425. B = 425.

Answer:

Step-by-step explanation:

18

Answer:

It has a mode of 11

Step-by-step explanation:

A mode is a # in a data set that occurs more then any other one

Answer:

The slope is a value that describes the steepness and direction of a line

Step-by-step explanation:

I think ts either 2 or nagtive 2

Answer:

gradient (slope) = 2

Step-by-step explanation:

gradient (slope) = difference of y-coordinates / difference of x-coordinates = (y₂-y₁)/(x₂-x₁)

Pick two points, ex: (0,1) and (-2,0)

= (0-1)/((-2)-0)

= -1/-2

= 1/2

The solution to the equation is x = -28/9.To solve the equation 2 1/7 + 3/7(3x - 5) = -4, let's break it down step by step.

Step 1: Convert the mixed number 2 1/7 to an improper fraction. Multiply the whole number (2) by the denominator (7), then add the numerator (1). This gives us (2 * 7 + 1) / 7 = 15/7.

Step 2: Distribute the 3/7 to the terms inside the parentheses. Multiply 3/7 by each term, which gives us (3/7) * 3x = 9x/7 and (3/7) * (-5) = -15/7.

Step 3: Substitute the converted mixed number and the distributed terms back into the equation. The equation becomes 15/7 + 9x/7 - 15/7 = -4.

Step 4: Combine like terms. Add the fractions with the same denominator: (15/7 - 15/7) + 9x/7 = -4. The fractions cancel each other out, leaving us with 9x/7 = -4.

Step 5: Isolate the variable. Multiply both sides of the equation by the reciprocal of 9/7, which is 7/9. This gives us (7/9)(9x/7) = (7/9)(-4). The 7/9 on the left side cancels out, leaving x = (-28/9).

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The system of equations is 4.25x + 2y = 53.75, y = x + 5, and the number of bangles and breakfast sandwiches Amir bought is 12 and 7 respectively.

A formula known as an equation uses the equals sign to denote the equality of two expressions.

Given:

Amir spent a total of $53.75 on breakfast sandwiches and bagels

Each breakfast sandwich costs $4.25, and each bagel costs $2.00

Calculate the equation as shown below,

4.25x + 2y = 53.75

Here, y = number of bangles and x = number of sandwiches,

y = x + 5

Solve the equation to get the values,

x  = 7 and y = 7 + 5 = 12

Therefore, the system of equations is 4.25x + 2y = 53.75, y = x + 5, and the number of bangles and breakfast sandwiches Amir bought is 12 and 7 respectively.

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Answer:

The zeros of the function are x = -3, x = 1, x = 3. The multiplicity of the zero x = 3 is 3.

Step-by-step explanation:

Answer:

0, 1, -1

Step-by-step explanation:

7x³ - 7x = 0

=> x(7x² - 7) = 0

=> 7x(x² - 1) = 0

=> x(x² - 1) = 0

=> x(x+1)(x-1) =0

=> x = 0 or x = -1 or x = 1

3.

The value of x is 20.

The value of y is 30.

4.

The value of x is 30.

The value of y is 4.

It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

We have,

3,

The triangle is an equilateral triangle.

Value of all the angles = 60°

All sides are equal.

Now,

46 = 16 + y

y = 46 - 16

y = 30

Now,

The sum of the three angles of the triangle is 180 degrees.

80 + 60 + (60 - x) = 180

140 + 60 - x = 180

200 - 180 = x  

x = 20

4.

There is an equilateral triangle.

5y = 20

y = 4

There is an isosceles triangle.

Where two sides are equal and the angle opposite to the equal sides are also equal.

This means,

(180 - 60) + x + x = 180

120 + 2x = 180

2x = 180 - 120

x = 60/2

x = 30

Thus,

3.

The value of x and y is 20 and 30.

4.

The value of x and y is 30 and 4.

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Answer:

33

Step-by-step explanation:

The time the Road Runner been running is 7.3 minutes

From the question, we have the following parameters that can be used in our computation:

Roadrunner speed = 72mph

Time for repair = 15 minutes

Speed = 220mph

Represent the time the Road Runner been running with x

The speed is calculated using

Speed = Distance/Time

So, we have the following representations

Roadrunner speed = Distance/Time

Wile Coyote speed = Distance/Time

This gives

72 = Distance/(15 + x) -- for the roadrunner

220 = Distance/x for the Wile Coyote

So, we have

Distance = 72(15 + x)

Distance = 220x

Substitute the known values in the above equation, so, we have the following representation

220x = 72(15 + x)

Open the brackets

220x = 1080 + 72x

Evaluate the like terms

148x = 1080

So, we have

x = 7.3

Hence, the minutes is 7.3 minutes

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Based on the definition of complementary angles, the value of d is: 10.

Complementary angles can be described as two angles that have a sum of 90 degrees when added together.

Given that the two angles, 24° and (7d - 4)°, are complementary angles, it implies that their sum will give a measure of 90°. Therefore, to find the value of d, the following equation would be created based on the definition of complementary angles:

24 + (7d - 4) = 90

Open the parentheses:

24 + 7d - 4 = 90

Combine like terms:

7d + 20 = 90

Subtract 20 from both sides

7d + 20 - 20 = 90 - 20

7d = 70

Divide both sides by 7

7d/7 = 70/7

d = 10

The value of d is: 10.

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Answer:

$54.06

Step-by-step explanation:

$60x0.85=51

51x1.06=$54.06

The tangent line to the graph of f(x) = 2e²ˣ-5 at the point (2, 1/e) is given by y=2e⁴+1-2e⁵/e

Two or more expressions with an Equal sign is called as Equation.

The equation of the tangent line to the graph of f(x) = e²ˣ-5

To find the Equation of a tangent to any curve you must first find the derivative of the function.

y = e²ˣ-5

y'=2e²ˣ

sub x=2 into derivative function

y'(2)=2e⁴

so we have found that the tangent line is y=2e⁴+c

now we have to sub in the point and solve for c:

1/e=2e⁴+c

c=1/e-2e⁴

c=1-2e⁵/e

c=0 when x is 2.

The equation of tangent to the line is y=2e⁴+(1-2e⁵)/e

Hence,  the equation of the tangent line to the graph of f(x) = 2e²ˣ-5 at the point (2, 1/e) is given by y=2e⁴+1-2e⁵/e

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Inequality: x>12

Interval Notation: ( 12, ∞ )

Answer:uno<x

Step-by-step explanation:

Answer:

each girl scored 1 point and each boy scored 20 points.

Step-by-step explanation:

Let $g$ be the number of points scored by each girl and $b$ be the number of points scored by each boy. We can set up the following system of equations:

$$3g + 2b = 43$$

$$3g - 2b = 11$$

We can solve this system of equations using substitution. From the first equation, we have that $3g = 43 - 2b$. Substituting this expression for $3g$ into the second equation gives:

$$3(43 - 2b) - 2b = 11$$

Solving for $b$, we get:

$$129 - 6b = 11$$

$$6b = 118$$

$$b = 19.5$$

Since $b$ must be a positive integer, the only possible value for $b$ is $20$. Substituting this value into the first equation, we get:

$$3g + 2(20) = 43$$

Solving for $g$, we get:

$$3g = 3$$

$$g = 1$$

Therefore, each girl scored $1$ point and each boy scored $20$ points.

Answer:

A. The surface area of a cube with side length 4 cm is 6 * (4 cm * 4 cm) = 96 square cm.

B. The total surface area of two pieces of the cube would be 2 * 96 square cm = 192 square cm. This is because cutting the cube into two equal pieces would double the total surface area of the pieces, but the surface area of each individual piece would remain the same.

Answer:

4th answer option

Step-by-step explanation:

both side angles are 45°, that makes the triangle an isoceles triangle (both legs are equally long).

therefore, v = 7.

Pythagoras gives us

c² = a² + b²

with c being the Hypotenuse (the side opposite of the 90° angle), a and b being the legs.

in our case

u² = 7² + 7² = 49 × 2

u = sqrt(49 × 2) = 7 × sqrt(2)

Answer:4x-12

Step-by-step explanation:

Answer:

= 4x - 4

Step-by-step explanation:

4(x-2) + 4

= (4*x + 4*-2) + 4

= (4x - 8) +4

= 4x + 4 - 8

= 4x - 4

Answer:

6

Step-by-step explanation:

Answer: 6
The factors of 12 are: 1, 2, 3, 4, 6, 12

The factors of 18 are: 1, 2, 3, 6, 9, 18

The factors of 30 are: 1, 2, 3, 5, 6, 10, 15, 30

Then the greatest common factor is 6.

Answer: the answer should be 6 units  let me know if thats an option

Domain of the function is (1,4) and the domain is discrete.

What is linear function?

A linear function may be a operate that forms a line during a graph. it's usually a polynomial operate whose degree is utmost one or zero. though the linear functions also are delineate in terms of calculus also as algebra.

Main body:

According to the question :

y=15.95 x

where y = cost ,

x = number of tickets

Each customer can buy a maximum of four tickets.

Plot the ordered pairs. Because you cannot buy part of a ticket,

the graph consists of individual points.

domain of the function is (1,4).

Hence , the domain is discrete.

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Answer:

bachelor's degree in journalism

Step-by-step explanation:

Answer: bachelors degree in journalism

Step-by-step explanation:

The value of the fraction 3/4 of 56 is 42.

A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers.

On the other hand, a fraction appears in the numerator or the denominator of a complex fraction.

The value of the fraction will be:

= 3/4 × 56

= 3 × 14

= 42

The value is 42.

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Answer:124

Step-by-step explanation:

Answer:124

Step-by-step explanation:

its right

Answer: B

Step-by-step explanation:

The time Amy has left for the question C is 13.9 minutes.

The mixed fraction can be converted into a fraction by interchanging the numerator with the sum of the  product of denominator and the whole number and the numerator of the mixed fraction. It can be shown as 2(¹/₂) = (2 × 2 + 1)/2 = 5/2.

Given that,

The total time for quiz is 30 minutes.

The time taken to do problem A is 10(⁷/₁₀) and for B is 4(²/₅).

Thus, the remaining time left can be calculated by the as follows,

30 - (10(⁷/₁₀) + 4(²/₅))

Change the mixed fraction into the fraction to obtain,

30 - (107/10 + 22/5) = 13.9

Hence, the time left for question C is given as 13.9 minutes.

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The  reflection across the x-axis of Y(1.5, -2) is Y'(1.5, 2). Y(1.5,−2) →Y'(−1.5,−2) represents  reflection across the y-axis.

What is an ordered pair?

An ordered pair is made up of the ordinate and the abscissa of the x coordinate, with two values given in parenthesis in a certain sequence. In order to understand a point visually, it can be helpful to position it on the Cartesian plane. An ordered pair's numerical values may be fractions or integers.

The rule of reflection over the x -axis is A(x,y) → A'(x,-y)

The rule of reflection over the y -axis is A(x,y) → A'(-x,y).

A student finds that  the reflection across the x-axis of Y(1.5,−2) is Y'(−1.5,−2).

Student follows the rule of reflection over the y -axis is A(x,y) → A'(-x,y).

Therefore students do mistake to consider a wrong formula.

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95% confidence interval of mean  is between (16.91, 19.89)

the mean refers to the average of a set of values. The mean can be computed in a number of ways, including the simple arithmetic mean

Data dispersion in regard to the mean is quantified by a standard deviation, or. Data are said to be more closely grouped around the mean when the standard deviation is low and more dispersed when the standard deviation is high.

Given the sample size of 35, the mean x value is 18-4.

Standard deviation S=4.5

C = 95%

a = 1 - c = 0.05

From standard deviation from z table[tex]z_{0.05}[/tex] is 1.96 we know formula for confidence interval is

mean x +- [tex]z_{\alpha /2}[/tex] -  σ/[tex]\sqrt{n}[/tex]

x +- [tex]z_{\alpha /2}[/tex] -  σ/[tex]\sqrt{n}[/tex] αμαx ‾ - [tex]z_{\alpha /2}[/tex] -  σ/[tex]\sqrt{n}[/tex]

lower limit = 18.4 - 1.96 * 4.5 /[tex]\sqrt{35}[/tex]

18.4 - 1.5

16.91

upper limit =   18.4 + 1.96 * 4.5 /[tex]\sqrt{35}[/tex]

19.89

95% confidence interval of mean  is between (16.91, 19.89)

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