4x + 6 = 2(3x - 7)
Solve

The required cycle-time is approximately 57.6 seconds.

To find the required cycle time, we need to divide the total available time by the number of units to be produced.

Total available time: 16 hours = 16 * 60 minutes = 960 minutes = 960 * 60 seconds = 57,600 seconds

Number of units to be produced: 1,000 units

Required cycle time: Total available time / Number of units

Cycle time = 57,600 seconds / 1,000 units

Cycle time ≈ 57.6 seconds

Therefore, the required cycle time is approximately 57.6 seconds.

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Answer:

-6.5y - 1.1x

Step-by-step explanation:

Rearrange the problem to where like terms are closer together:

11.7y+5.2y + 1.2x + x - 3.3x

Simplify by adding the like terms and your final answer will be -6.5y -1.1x

Answer:

option B would be the closest estimation.

Answer:

B.) 50 * 80 = 4,000 yd^2

Step-by-step explanation:

Estimate meaning round the numbers

go extra 90 ang taya mo the n adto ang iya mga manok mga 50 my karapatan b pre ung mga anak nya kc kasal dw cla ng tube and

Answer:

The rate of change is -3. The y-intercept (0,1). The equation of this linear function is y = -3x + 1

EXPLANATION: It is (0,1) because 0 is the x-intercept and 1 is the y-intercept. (x,y)

Answer:

17.5'

Step-by-step explanation

According to the question

The equation is

5/8=x/28

8x=140

x=17.5

Answer:

any of the factors of a product considered in relation to a specific factor especially : a constant factor of a term as distinguished from a variable. 2a : a number that serves as a measure of some property or characteristic (as of a substance, device, or process) coefficient of expansion of a metal. b : measure

Step-by-step explanation:

Answer:

in math it is this:

a numerical or constant quantity placed before and multiplying the variable in an algebraic expression (e.g. 4 in 4xy).

in physics it is this:

a multiplier or factor that measures some property

Step-by-step explanation:

The percentage of his income he saved is 44.4%.

Percentage is a way of expressing a number as a fraction of 100. It is commonly used to represent a proportion or share of a whole, such as a percentage of a total amount, a percentage of a target or goal, a percentage of a population, etc.

In mathematical terms, a percentage can be represented as a decimal or a fraction, and is expressed as a symbol, such as "%".

If Ravindra's monthly income is rupee 90000 and saves rupee 40000 per month, then the percentage can be calculated as:

percentage = (40,000/90,000) x 100% = 44.4%

Hence, she saves 44.4% of his income per month.

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Answer:

i would say about $1.85

Step-by-step explanation:

There are 16 cups in one gallon and so you at 16+16 and you get 32 so you devide 59.20 by 32 and you get your answer. 1.85

Step-by-step explanation:

The equations are,

7b + 2t = 1986 -----> 1

2b + 2t = 996 -----> 2

From 1,

2t = 1986 - 7b

Using 2t value in 2,

2b + 1986 - 7b = 996

-5b = 996-1986 = -990

Divide by -5,

b = $198

Use the value of b in 2t,

2t = 1986 - 7*198

2t = 1986 - 1386

2t = 600

Divide by 2,

t = $300

By considering the given information that angles 21 and 23 are supplementary and analyzing the properties of supplementary angles and parallel lines, we have proven that segment HI is parallel to segment JK.

To prove that segment HI is parallel to segment JK based on the given information that angles 21 and 23 are supplementary, we can utilize the properties of supplementary angles and parallel lines.

First, let's examine the given figure and information.

We have a capital letter A with serifs, where segment HI represents one of the serifs, and segment JK represents a horizontal line within the letter A.

To begin the proof, we'll make use of the fact that angles 21 and 23 are supplementary.

Supplementary angles are defined as two angles whose measures sum up to 180 degrees.

We can observe that angle 21 is an interior angle of triangle AHI, and angle 23 is an interior angle of triangle AJK.

Since angles 21 and 23 are supplementary, their sum is equal to 180 degrees.

Now, let's assume that segments HI and JK are not parallel.

In this case, if we extend lines HA and JA, they will eventually intersect at point P.

Since the angles formed at the point of intersection are supplementary (angle 21 + angle 23 = 180 degrees), it would imply that angle 21 and angle PJK, as well as angle 23 and angle PHI, are also supplementary.

However, this leads to a contradiction. In the original figure, we can observe that angle 21 and angle PJK do not form a supplementary pair since angle PJK is a right angle (90 degrees) in the letter A.

Therefore, our assumption that segments HI and JK are not parallel must be incorrect.

Consequently, we can conclude that segment HI is indeed parallel to segment JK.

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Salik and Maya are discussing a project that examines the relationship between the number of siblings someone has and their household income. Maya predicts that those with more siblings will have a higher household income. Salik questions whether the number of siblings is a categorical variable since it is a whole number. Our response can be : "In order to conduct this project, we need to choose two quantitative variables, which are variables that can be measured and expressed as numbers. The number of siblings is not a categorical variable because it is a continuous variable that can take on any whole number value."

The number of siblings is a quantitative variable because it can be expressed as a whole number. Household income is also a quantitative variable because it can be measured and expressed as a numerical value. Categorical variables are variables that can be divided into distinct categories or groups, such as gender, race, or occupation. The number of siblings is not a categorical variable because it is a continuous variable that can take on any whole number value.

To examine the relationship between the number of siblings and household income, Maya and Salik could use statistics to analyze their data. They could calculate descriptive statistics such as the mean and standard deviation for each variable, as well as the correlation coefficient to determine the strength and direction of the relationship between the two variables. They could also use probability theory to make predictions about the likelihood of certain outcomes, such as the probability that someone with more siblings will have a higher household income.

The complete question is:

Our classmates, Maya and Salik, are talking about the variables they want to study and how they plan to collect their samples. Here is part of their conversation. Respond in the places that say “your response.”

Double-check that both of their variables are quantitative.

Maya: I want to look at the relationship between the number of siblings someone has and the household income. I predict that those with more siblings have a higher household income.

Salik: We need two quantitative variables for this project. Wouldn’t number of siblings be categorical since it is whole numbers?

Your response:.........

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The probability of x being equal o 19.62 is d) 0.

It is given that x is normally distributed with a mean of 12 and a standard deviation of 3.

Now, Normal distribution is a continuous distribution.

This implies that the probability is measured over an interval, taking an infinite number of points in between.

If we plot a continuous distribution, the probability here at a point is not the value of the y coordinate at that point. Instead, it is seen as an area under the curve of the distribution, between the two intervals, say a and b.

Therefore, if we take up a single point say c, then the probability will be the area under the curve from c to c, which will obviously be 0.

Hence, the probability that x = 19.62 will be 0.

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To calculate the work done in moving the wagon, we can use the formula:

Work = Force * Distance * cos(θ)

Where:

Work is the amount of work done (in foot-pounds)

Force is the applied force (in pounds)

Distance is the distance moved (in feet)

θ is the angle between the applied force and the direction of motion (in degrees)

In this case, the applied force is 10 pounds, the distance moved is 50 feet, and the angle θ is 60 degrees.

Let's calculate the work done:

Work = 10 pounds * 50 feet * cos(60°)

First, we need to convert the angle from degrees to radians:

θ (in radians) = 60° * π/180 = π/3 radians

Now, we can calculate the work done:

Work = 10 pounds * 50 feet * cos(π/3)

= 10 * 50 * cos(π/3)

= 500 * (1/2)

= 250 foot-pounds

Therefore, the work done in moving the wagon 50 feet is 250 foot-pounds.

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Answer:

2.5x + 20 = y

Step-by-step explanation:

first, assign a variable to each unknown:

since we don't know how many videos were rented, that can be x, and we don't know the person's total cost, which can be y

x = number of videos rented

y = total cost

so there's always a $20 that's added on as a membership fee, which means that theres going to be a + 20 somewhere.

So, the equation is 2.5x + 20 = y

Answer: -8,0

I am writing this because it will not let me share this answer if I don’t have at least 20 characters, just ignore this.

After 3 years of investment at an interest rate of 7% with annual compounding, you would have a total of $61,252.14.

To calculate the amount, you would have after 3 years, with an initial investment of $50,000 at 7% interest rate with annual compounding, we can use the compound interest formula.

The formula for compound interest is given by;

FV = PV × (1 + r) n

where, FV = Future value

PV = Present value

R = rate of interest

n = number of compounding periods

For the given problem;

PV = $50,000

r = 7% = 0.07

n = 3 (as interest is compounded annually)

Now substituting these values in the formula,

FV = $50,000 x (1 + 0.07) ³

FV = $50,000 x 1.225043

FV = $61,252.14

Therefore, after 3 years of investment at an interest rate of 7% with annual compounding, you would have a total of $61,252.14.

This is obtained by adding the interest earned on the principal amount of $50,000 for 3 years.

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The graph that follows the domain x = 0 to 4 and the range y = 0 to 10 is added as an attachment

Given that

x = 0 to 4 and y = 0 to 10

The values of the x-axis ranging from 0 to 4 and the values of the y-axis ranging from 0 to 10 represent the domain and range of the coordinate system, respectively

To plot a function on this coordinate system, we can do the following

See attachment for a graph that follows the domain and the range

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First, we want to note two things:

We can describe this with an inequality:  x ≥ -10
Be sure you use ≥ and not >, since -10 is included.

We can describe this with interval notation: [ -10, infty )
Be sure you use [ and not ( on -10, since -10 is included.

You can also use set-builder notation: { x | x ≥ -10 }

Answer:

{3,6,9,12,15,18,21,24,27}

Step-by-step explanation:

The range is all the y-values.

So {3,6,9,12,15,18,21,24,27} is the range.

Answer:

{3,6,9,12,15,18,21,24,27} it is range

Step-by-step explanation:

because always we can say that the second numbers will range and that situation they are range thank u

Answer:

Technically, it already works because you have $16.15

Step-by-step explanation:

Answer:

Step-by-step explanation:

When the center of dilation is at the origin, we can multiply the coordinates of all the vertices by the scale factor.

So D(2, 4) turns into D'(7, 14)

E (6, 4) turns into E'(21, 14)

And F(2, 6) turns into F'(7, 21)

Answer:

Your answer is A

Step-by-step explanation:

In this case you have 7 digits so you move the decimal 6 times to the left

4325000

4.325

4.325 x 10^6

Hope my answer helped you.

Have a great day

Answer:

4.325 x \(10^{6}\)

Step-by-step explanation:

When finding the scientific notation you need to move the decimal to the left until your first number or the one in the highest place is the remaining number. Then your 10 is taken to the a(amount of times you moved the decimal) power. For example, with this problem 4325000 is moved 6 times meaning the answer is A or 4.325 x \(10^{6}\).

Answer:

$7.50

Step-by-step explanation:

1 battery costs 10/8=5/4 dollars

(5/4)*6=15/2

15/2=7.50

Answer:

$7.50

Step-by-step explanation:

Set up a proportion and cross multiply to find your answer.

8 batteries/$10 = 6 batteries/$x

x = (6)(10)/8

x = 60/8

x = $7.50

Answer:

c.

Step-by-step explanation:

Answer:

  (d)  y' = 3/2x

Step-by-step explanation:

The transformation for rotating a figure 180° about the origin is ...

  (x, y) ⇒ (-x, -y)

__

Given the line ...

  y = 3/2x

The translation of it is ...

  -y' = 3/2(-x)

Simplifying gives ...

  y' = 3/2x

_____

Additional comment

Rotation 180° about the origin is equivalent to reflection across the origin. For a line that passes through the origin, that reflection is simply the original line, as we can see in the equations above.

Hector's goal is to reach a 10-kilometer run, and he plans to increase his distance by 0.5 kilometers every Saturday. By analyzing Hector's calculations, we can determine that the equation equivalent to his calculations is 2.5 + 0.5x = 10, where x represents the number of weeks. Using this equation, we can find the number of weeks it will take Hector to reach his goal of a 10-kilometer run, which is 14 weeks.

Hector's calculations show a pattern of adding 0.5 kilometers to his distance each week. We can express this pattern using the equation 2.5 + 0.5x = 10, where x represents the number of weeks. The left side of the equation represents Hector's total distance covered, while the right side represents his goal of running 10 kilometers.

To find the number of weeks it will take Hector to reach his goal, we solve the equation for x. Rearranging the equation, we have:

0.5x = 10 - 2.5

0.5x = 7.5

Dividing both sides of the equation by 0.5:

x = 7.5 / 0.5

x = 15

Therefore, it will take Hector 15 weeks to reach a 10-kilometer run.

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Answer:

\(Goat = 2080IU\)

Step-by-step explanation:

Given

Ratio = 3 : 4

Litre of cow = 1560IU

Required

IU of a litre of goat

The ratio represents ratio of cow milk to goat milk

In other words;

\(Cow:Goat = 3 : 4\)

To calculate the number of IU in a litre of goat milk; we substitute Cow with 1650 in the above expression

\(Cow:Goat = 3 : 4\)

\(1560:Goat = 3 : 4\)

Convert  to fraction

\(\frac{1560}{Goat} = \frac{3}{4}\)

Multiply both sides by 4

\(4 * \frac{1560}{Goat} = \frac{3}{4} * 4\)

\(\frac{4 * 1560}{Goat} = \frac{ 4 * 3}{4}\)

\(\frac{6240}{Goat} = 3\)

Multiply both sides by Goat

\(Goat * \frac{6240}{Goat} = 3 * Goat\)

\(6240 = 3 * Goat\)

Divide both sides by 3

\(\frac{6240}{3} = \frac{3 * Goat}{3}\)

\(\frac{6240}{3} = \frac{3 * Goat}{3}\)

\(2080 = Goat\)

\(Goat = 2080\)