Solve: 2 ( X + 5 ) = 3X + 1 Show your work

Answer:

-4

Step-by-step explanation:

you flip the ratio from the original line

Answer:

x = 4

Step-by-step explanation:

Answer:

1.5gallons

Step-by-step explanation:

Here,

no. of bottles(a) : 12

no. of cups (b) :a*2

=12*2

=24

Now,

No. of gallons. :24/16

:1.5gallons

.·.A cartoon contains 1.5 gallons of lemon tea.

Answer:

he should have multiplied

Step-by-step explanation:

In step 1 [($22.75 + 3) + $32.75 − $14.25] ⋅ 1 over 5 it should have been[($22.75 * 3) + $32.75 − $14.25] ⋅ 1 over 5

Step-by-step explanation:

Answer:

2x(7x-2)

Good Luck!!!

Answer:

-0.6 or -(3/5)

Step-by-step explanation:

Let's simplify the left-hand side of the equation first:

4(2x+5)-2(x-3)

= 8x + 20 - 2x + 6 [distributing the multiplication and simplifying the parentheses]

= 6x + 26

Now let's simplify the right-hand side of the equation:

8(2x+4)

= 16x + 32

So the equation becomes:

6x + 26 = 16x + 32

Let's isolate x on one side of the equation:

6x - 16x = 32 - 26

-10x = 6

x = -0.6

Therefore, the solution to the equation is x = -0.6.

Answer:

40%

Step-by-step explanation:

20-15 = 5, 2 students passed and did the assignment, 0.4 = 40%

Answer:c the third one

Step-by-step explanation: because i did it!

The improper integral ∫ 1/x dx from 0 to ∞ is divergent. The improper integral ∫ 1/x dx from 0 to ∞ represents the integral of the function 1/x with respect to x over the interval from 0 to positive infinity.

To determine whether this integral is convergent or divergent, we need to evaluate it.

Let's split the integral into two parts: from 0 to 1 and from 1 to ∞.

∫(0 to 1) 1/x dx

This part of the integral is a finite integral, and it can be evaluated as:

∫(0 to 1) 1/x dx = [ln|x|] (0 to 1) = ln(1) - ln(0)

However, ln(0) is undefined, so this part of the integral does not converge.

Now let's evaluate the second part of the integral:

∫(1 to ∞) 1/x dx

This integral represents the area under the curve of the function 1/x from 1 to ∞. This is a well-known integral and is known to diverge. As x approaches infinity, the value of 1/x approaches 0, but it never reaches 0. Therefore, the area under the curve keeps increasing indefinitely, and the integral diverges.

Since either part of the integral diverges, the overall integral ∫ 1/x dx from 0 to ∞ is divergent.

Learn more about integral here: https://brainly.com/question/31059545

#SPJ11

Answer: fiber

Step-by-step explanation:

excessive consumption may lead to diarrhea, too less may result in constipation, heart disease and sometimes cancer

Answer:

2

Step-by-step explanation:

The total number of students who play football is given as 40 in the table. We can find the missing number by subtracting the total number of students who play basketball (38) from the total number of students who play football:

Total number of students who play football - Total number of students who play basketball = Missing number

40 - 38 = 2

Therefore, the missing number in the table is 2.

Answer:

its 40

Step-by-step explanation:

1. the answer above was careless and did not take there time to get the right answer for you I apologize in advance.

2. I Just took the test and got this correct.

3. if you look at the total for both sections on the bottom you can its the the number of the players who did and not play basketball added up. Best of luck to you.

Answer:

[C] -71.5 feet

Step-by-step explanation:

To find the Answer you have to divide as well as change in elevation being a negative value when multiplying.

Thus, Answer is [C] -71.5 feet

{RevyBreeze}

Answer/Step-by-step explanation:

After 9 seconds, the total change in elevation was –643.5 feet. What was the average change in elevation per second at this point?

71.5 feet

–7.15 feet

–71.5 feet

7.15 feetAfter 9 seconds, the total change in elevation was –643.5 feet. What was the average change in elevation per second at this point?

71.5 feet

–7.15 feet

–71.5 feet

7.15 feetAfter 9 seconds, the total change in elevation was –643.5 feet. What was the average change in elevation per second at this point?

71.5 feet

–7.15 feet

–71.5 feet7.15 feetAfter 9 seconds, the total change in elevation was –643.5 feet. What was the average change in elevation per second at this point?

71.5 feet

–7.15 feet

–71.5 feet

7.15 feetAfter 9 seconds, the total change in elevation was –643.5 feet. What was the average change in elevation per second at this point?

71.5 feet

–7.15 feet

–71.5 feet

7.15 feetAfter 9 seconds, the total change in elevation was –643.5 feet. What was the average change in elevation per second at this point?

71.5 feet

–7.15 feet

–71.5 feet

7.15 feetAfter 9 seconds, the total change in elevation was –643.5 feet. What was the average change in elevation per second at this point?

71.5 feet

–7.15 feet

–71.5 feet

7.15 feetAfter 9 seconds, the total change in elevation was –643.5 feet. What was the average change in elevation per second at this point?

71.5 feet

–7.15 feet

–71.5 feet

7.15 feetAfter 9 seconds, the total change in elevation was –643.5 feet. What was the average change in elevation per second at this point?

71.5 feet

–7.15 feet

–71.5 feet

7.15 feetAfter 9 seconds, the total change in elevation was –643.5 feet. What was the average change in elevation per second at this point?

71.5 feet

–7.15 feet

–71.5 feet

7.15 feetAfter 9 seconds, the total change in elevation was –643.5 feet. What was the average change in elevation per second at this point?

71.5 feet

–7.15 feet

–71.5 feet

7.15 feet

The answer is (0.088, 0.134).

Learn more about :

To construct the 80% confidence interval for the population proportion of disks which are defective using the data provided in the question, the following steps should be followed;

Step 1: Calculate the sample proportion The sample proportion is calculated by dividing the number of defective disks in the sample by the total number of disks in the sample.

p = 51/464 = 0.1108

Step2: Calculate the standard error The standard error can be calculated using the following formula:

σ = √(p(1-p)/n)

Where:

p = sample proportion = sample sizeσ = v(0.1108(1 - 0.1108)/464)σ = 0.0181

Step 3: Calculate the margin of error

The margin of error for an 80% confidence interval can be calculated using the following formula:

ME = 1.28 x σME = 1.28 x 0.0181ME = 0.0232

Step 4: Calculate the confidence interval The confidence interval can be calculated using the formula:

p ± ME

p ± 0.0232

Using the calculated values of p and ME:0.1108 ± 0.0232

Therefore, the 80% confidence interval for the population proportion of disks which are defective is (0.0876, 0.1340). The answer should be rounded to three decimal places as follows: (0.088, 0.134).

Learn more about finding confidence level C using the value of the sample proportion : https://brainly.com/question/29739695

#SPJ11

Quantitative type of variable is the number of robberies reported in your city.

The number of robberies reported in your city is a quantitative variable because it represents a numerical measurement or quantity.

It involves the collection of numeric data that quantifies the frequency or amount of a specific event (in this case, the number of robberies) occurring in your city.

More specifically, it is a continuous variable. Continuous variables are characterized by being able to take on any value within a certain range. In the case of the number of robberies reported, it can have decimal or fractional values.

To learn more on Type of variables click:

https://brainly.com/question/30463740

#SPJ4

To find the surface area of the figure, we need to consider the individual surfaces and add them together.

First, let's identify the surfaces of the figure:

The lateral surface area of the larger prism (excluding the base)

The two bases of the larger prism

The lateral surface area of the smaller prism (excluding the base)

The two bases of the smaller prism

The lateral surface area of a prism is given by the formula: perimeter of the base multiplied by the height.

The bases of the prisms are rectangles, so their areas can be calculated by multiplying the length by the width.

To find the missing prism's surface area, we need to consider that it is a smaller prism nested inside the larger prism. The lateral surface area and bases of the missing prism should also be included.

Once we have calculated the individual surface areas, we add them together to find the total surface area of the figure.

Without specific measurements or dimensions of the figure, it is not possible to provide a numerical answer. Please provide the necessary measurements or dimensions to calculate the surface area.

Learn more about surface here

https://brainly.com/question/16519513

#SPJ11

Answer:

Minimum Values:

x = 0, y = 1, z = 3

Maximum Values:

x = 7 , y = 11 , z = 47

Step-by-step explanation:

FOR MINIMUM VALUES:

0<= x <= 7

It is clear from the above inequality that the minimum value of x must be 0.

y>= 1

This inequality shows that the minimum value of y must be 1. Using these minimum values of x and y to get the minimum value of z:

z = 2x + 3y

z = (2)(0) + (3)(1)

z = 3 (Minimum)

FOR MAXIMUM VALUES:

0<= x <= 7

It is clear from the above inequality that the maximum value of x must be 7.

x + y <= 11

To calculate maximum value of y we can use the minimum value of x in this inequality:

0 + y <= 11

y <= 11

Hence, the maximum value of y is 11.

Using these maximum values of x and y to get the maximum value of z:

z = 2x + 3y

z = (2)(7) + (3)(11)

z = 47 (Maximum)

The value of the given expression is - x² + 3x - 11 and option b is the correct answer.

Binomial is the name for an algebraic expression with only two terms. It is a polynomial with two terms. It is sometimes referred to as the sum or difference of two or more monomials. It is a polynomial's most basic form. Therefore, A binomial is a two-term algebraic statement that includes a constant, exponents, a variable, and a coefficient.

The given expression is:

(-3x² + 4x) + (2x²-x-11)

-3x² + 4x + 2x² - x - 11

Subtract the like terms:

- x² + 3x - 11

Hence, the value of the given expression is - x² + 3x - 11 and option b is the correct answer.

Learn more about binomial expression here:

https://brainly.com/question/29859755

#SPJ9

Constraints limit systems. Explicit constraints are defined, while implicit constraints are assumed. Dimensional and geometric constraints differ in their definitions.

Imperatives are constraints or limitations put on an article or framework to guarantee it capabilities as planned or meets specific prerequisites. Express limitations are those that are explicitly characterized and recorded, while certain requirements are those that are expected or seen yet not really archived.

Layered limitations determine the size, shape, and area of items or parts inside a framework, while mathematical imperatives characterize the connections between various parts or articles, like parallelism or oppositeness. The two kinds of requirements are significant in designing and plan, as they assist with guaranteeing that a framework or item is utilitarian, safe, and meets the ideal details.

To learn more about implicit constraints, refer:

https://brainly.com/question/30887214

#SPJ4

Distance between \(AB=$\sqrt{(-1-(-5))^2+(3-(-3))^2}$\)Distance between

AB=\($\sqrt{4^2+6^2}$= 2$\sqrt{10}$\).Distance between AB = \(3$\sqrt{10}$ units.\)

The given sets of points are A=(-5,-3) and B=(-1,3). The distance between them is to be calculated.Using the distance formula,

Distance between \(AB=$\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$where $x_1$=-5, $x_2$=-1, $y_1$=-3 and $y_2$=3\)So,Distance between\(AB=$\sqrt{(-1-(-5))^2+(3-(-3))^2}$,\)

Distance between \(AB=$\sqrt{4^2+6^2}$= 2$\sqrt{10}$\).

Therefore, the answer for this is:Distance between \(AB = 2$\sqrt{10}$\) units.

The given sets of points are A=(-14,-7) and B=(-11,2). The distance between them is to be calculated.

Using the distance formula

Distance between \(AB=$\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$\)where\($x_1$=-14, $x_2$=-11, $y_1$=-7 and $y_2$=2.\)

So,Distance between AB=\($\sqrt{(-11-(-14))^2+(2-(-7))^2}$\)

Distance between \(AB=$\sqrt{3^2+9^2}$= 3$\sqrt{10}$.\)

Therefore, the answer for this is:Distance between AB = \(3$\sqrt{10}$ units.\)

Find the distance between the following sets of points: A. (-5,-3) and (-1,3) B. (-14,-7) and (-11,2)" are:

Distance between AB =\(2$\sqrt{10}$ units.Distance between AB = 3$\sqrt{10}$ units.\)

The conclusion of this answer is that the distance between two points A and B can be calculated by using the distance formula which is\($ \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$ where $(x_1,y_1)$ and $(x_2,y_2)$\)are the coordinates of two points A and B respectively.

To know more about distance formula visit:

brainly.com/question/32846365

#SPJ11

Q6: Approximately 68.3% of the cherry tomatoes sold by Berkeley Bowl fall within the specified diameter limits of 20 mm to 32 mm.

Q7: To achieve half of the Six Sigma Quality, the standard deviation of the process should be approximately 0.22 mm for Berkeley Bowl's cherry tomatoes.

In Q6, we can use the concept of the normal distribution to determine the percentage of tomatoes within the specification limits. Since the average diameter is 26 mm and the standard deviation is 3 mm, we can assume a normal distribution and calculate the percentage of tomatoes within one standard deviation of the mean. This corresponds to approximately 68.3% of the tomatoes falling within the specified limits.

In Q7, achieving Six Sigma Quality means that the process has a very low defect rate. In this case, half of the Six Sigma Quality means reducing the variability in diameter to half the acceptable range.

The acceptable range is 32 mm - 20 mm = 12 mm. To achieve half the range, the standard deviation should be approximately half of 12 mm, which is 6 mm. Since the standard deviation is given as 3 mm, the process would need to be improved to reduce the standard deviation to approximately 0.22 mm for it to meet half of the Six Sigma Quality.

Learn more about sigma here:

https://brainly.com/question/30592021

#SPJ11

Answer:

The algebraic equation for the given sentence is

3x - 8 = 25

Answer: He needs 80 cups.

Step-by-step explanation:$12/$.15=80 cups

A sequence of transformation that would move ΔABC onto ΔDEF is: D. a dilation by a scale factor of 1/2, centered at the origin, followed by a 90° clockwise rotation about the origin.

In Geometry, a dilation is a type of transformation which typically changes the size of a geometric object, but not its shape.

In this scenario an exercise, we would dilate the coordinates of the pre-image by applying a scale factor of 1/2 that is centered at the origin as follows:

Ordered pair B (-4, 2) → Ordered pair B' (-4 × 1/2, 2 × 1/2) = Ordered pair B' (-2, 1).

In Mathematics and Geometry, a rotation can be defined as a type of transformation which moves every point of the object through a number of degrees around a given point, which can either be clockwise or counterclockwise (anticlockwise) direction;

(x, y)                               →            (y, -x)

Ordered pair B' (-2, 1)   →          E (1, 2)

Read more on dilation and scale factor here: brainly.com/question/4421026

#SPJ1

The eccentricity of an infinitely long ellipse will be less than 1.

The ratio of the focus's distance from the ellipse's center and the ellipse's distance from one of its ends.

It is easy to comprehend how circular an ellipse is in relation to a circle when we consider its eccentricity. It also measures the ovalness of the ellipse and eccentricity close to one refers to the high degree of ovalness.

The eccentricity of an ellipse is always less than 1 i.e e < 1. The formula for the eccentricity of an ellipse is given by

Which can be written as

Where

e = Eccentricity of the ellipse

c = Distance of the focus from the center of the ellipse

a = Distance of the end of the ellipse from the center

As we know the eccentricity of an ellipse is always less than 1, So we can conclude that the eccentricity of an infinitely long ellipse is less than 1.

Therefore,

The eccentricity of an infinitely long ellipse will be less than 1.

Learn more about Ellipse at

https://brainly.com/question/6638528

#SPJ4

The axis of symmetry for function

f(x) is x = 8 and for h(x) is x = 3.

We know that the quadratic equation in vertex form is, y = a (x - m)² + n

where (m, n) is the vertex of the parabola.

And, the axis of symmetry is x = m.

Consider function f(x)

f(x) = -4(x - 8)² + 3

This function represents a quadratic equation in vertex form with vertex (8, 3)

So, the axis of symmetry for function f(x) would be x = 8

We know that the axis of symmetry is the vertical line that goes through the vertex of a parabola so the left and right sides of the parabola are symmetrical.

Consider the function h(x)

We can observe that the vertex of parabola is (3, 2)

So, the axis of symmetry would be x = 3.

Therefore, the axis of symmetry for function

f(x) is x = 8 and for h(x) is x = 3.

Learn more about the axis of symmetry here:

https://brainly.com/question/22495480

#SPJ1

To find two positive numbers whose product is 81 and whose sum is a minimum, we can use the concept of the arithmetic mean-geometric mean inequality. The two positive numbers whose product is 81 and whose sum is a minimum are 3 and 27.

Step 1: Let's call the two positive numbers x and y.

Step 2: We know that the product of x and y is 81, so we can write the equation: x * y = 81.

Step 3: To find the sum of x and y, we can use the formula for the arithmetic mean, which is (x + y)/2.

Step 4: To minimize the sum, we want to minimize the arithmetic mean.

Step 5: According to the arithmetic mean-geometric mean inequality, the arithmetic mean is always greater than or equal to the geometric mean.

Step 6: The geometric mean of x and y is the square root of their product, so we can write the equation: √(x * y) = √81.

Step 7: Simplifying, we get √(x * y) = 9.

Step 8: Taking the square root of both sides, we find that x * y = 9.

Step 9: Since the product of x and y is the same as before, we know that x * y = 81.

Step 10: So, we have two equations: x * y = 9 and x * y = 81.

Step 11: Solving these equations, we find that the values of x and y are (3, 27) or (27, 3).

Step 12: Therefore, the two positive numbers whose product is 81 and whose sum is a minimum are 3 and 27.

To know more about arithmetic mean-geometric refer here:

https://brainly.com/question/28145873#

#SPJ11

Answer:

36

Step-by-step explanation:

62x + 310 = 2542

62x = 2232

x = 36

Answer:

36

Step-by-step explanation:

62x + 310 = 2542

Subtract 310 from both sides

62x = 2,232

Then Divide by 62

x = 36

Enjoy.

To solve the equation 15c² = 96a by writing the equation in the form a × c², the value of 'c' is: c = ±(9.79)

We have the given equation:15c² = 96aNow, we have to write the given equation in the form a × c².

So, dividing both sides of the equation by 15: c² = (96/15) × a c² = 6.4a

Now, we can say that a = 1 and c² = 6.4. Therefore, c = ±√6.4 = ±(2.53)(approx)

Multiplying both sides of the equation by 15, we get: 15c² = 15 × 6.4 = 96

Comparing this equation with the given equation 15c² = 96a, we can see that a = 1 and c = ±(2.53)(approx)So, the value of 'c' is c = ±(2.53)(approx)

Therefore, the value of 'c' in terms of options given are:C = ±(9.79) (approximately).

So, the correct option is d) C = 9.79.

To know more about equation visit :-

https://brainly.com/question/29657983

#SPJ11

Using linear approximation, f(2.9) ≈ f(3) + f'(3)(2.9 - 3) = 5 + 6(-0.1) = 4.4.

To estimate f(2.9) using linear approximation, we can use the formula: f(x) ≈ f(a) + f'(a)(x - a), where a is a point close to 2.9.

Given that f(3) = 5 and f'(3) = 6, we can substitute these values into the formula. Thus, f(2.9) ≈ 5 + 6(2.9 - 3) = 5 - 6(0.1) = 5 - 0.6 = 4.4.

The estimated value of f(2.9) using linear approximation is 4.4.

Linear approximation provides a linear approximation of a function near a given point using the function's value and derivative at that point.

In this case, we approximate f(2.9) by considering the tangent line to the graph of f at x = 3 and evaluating it at x = 2.9.

Learn more about linear approximation

brainly.com/question/30403460

#SPJ11

About \(80.5\%\) of the variation in y can be attributed to the linear relationship with x.

Used the concept of correlation coefficient that states,

The proportion of the variation in y that can be explained by the linear relationship between x and y can be determined by squaring the correlation coefficient

Given that,

When paired variables are considered, the linear correlation coefficient is,

\(r=0.897\)

Hence the proportion of the variation in y explained by x is,

\(r^2 = (0.897)^2\)

\(r^2 = 0.804609\)

This means that about \(80.5\%\) of the variation in y can be attributed to the linear relationship with x.

Learn more about the correlation coefficient here:

brainly.com/question/27226153.

#SPJ12