Mark often buys lunch at the deli next to his work. Lunch at the deli costs $7.50. Mark sets aside $150 for lunches at the deli at the beginning of the month. Which equation describes how much money, y, Mark has after eating lunch at the deli x times during the month?

Answer:

Distributive property

Explanation:

You are distributing the 3 to the parenthesis to get 12x+21 =43

Using it's concept, the experimental probability of getting an odd number and a number greater than 6 is given by:

1/5.

A probability is given by the number of desired outcomes divided by the number of total outcomes. An experimental probability is calculated considering the results of previous trials.

In this problem, there are 10 trials, and of those, 2 of them, trial 8 and trial 10, resulted in an odd number and a number greater than 6, hence the probability is:

p = 2/10 = 1/5.

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Answer:

3(x+2)(x+8)

Step-by-step explanation:

Answer:

\(3(x+8)(x+2)\)

Step-by-step explanation:

\(3x^2 + 30x + 48 = 3(x^2 + 10x+ 16) = 3(x+8)(x+2)\)

The hexadecimal system numbering system is base 16; in other words, 16 numerals are used to express any given number.

In this system, 16 numerals are used to represent any given number. The numerals used in this system are 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, and F, where A represents 10, B represents 11, and so on, up to F, which represents 15.

This system is commonly used in computer science, as it is more compact than the decimal system, and allows for easier conversion between binary and decimal systems. In the hexadecimal system, each digit represents a power of 16, just as each digit in the decimal system represents a power of 10.

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Answer:

i want to see david not mark

Step-by-step explanation:

duck what is plant? Been wonder tht=at fir long tim. Seen mary sheelly at the frank book!! You seen? HMMMM???!?! Im tired of this instagram ad go away! Its find out!!! Me too!!!

Answer:

I'm pretty sure its 5...

i. Range (A): The space spanned by the columns of matrix A. It represents all possible linear combinations of the columns of A.

ii. Null (A): The set of all vectors x such that Ax = 0. It represents the solutions to the homogeneous equation Ax = 0.

iii. Row (A): The space spanned by the rows of matrix A. It represents all possible linear combinations of the rows of A.

iv. Null (A): The set of all vectors y such that ATy = 0. It represents the solutions to the homogeneous equation ATy = 0.

The equation Ax = b has a solution only when b is in the Range (A). It has a unique solution only when the Null (A) contains only the zero vector.

The equation ATy = d has a solution only when d is in the Row (A). It has a unique solution only when the Null (A) contains only the zero vector.

Assuming the size of A is m × n:

When Ax = b has a unique solution, the space Null (A) must be equal to Rn. This means there are no non-zero vectors that satisfy Ax = 0, ensuring a unique solution.

When ATy = d has a unique solution, the space Null (AT) must be equal to Rm. This means there are no non-zero vectors that satisfy ATy = 0, ensuring a unique solution.

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Answer:

Step-by-step explanation:

To determine the value of b that will cause the system to have an infinite number of solutions, we need to analyze the given system of equations:

Equation 1: 4x - 6 + 3x + (1/2)y = -3

Equation 2: y = 6x - b

Equation 3: -3x + 2y = -3

To have an infinite number of solutions, the two equations must represent the same line. This occurs when the coefficients of the x and y terms and the constant terms are proportional.

Let's compare Equation 2 and Equation 3 to find the value of b:

From Equation 2: y = 6x - b

From Equation 3: -3x + 2y = -3

To make the coefficients of x and y proportional, we need to ensure that the ratios of the coefficients are equal. In this case, we compare the coefficients of x:

6 from Equation 2 and -3 from Equation 3

For these coefficients to be proportional, we can multiply the coefficient from Equation 2 by -2:

-2 * 6 = -12

Now let's compare the coefficients of y:

1 from Equation 2 and 2 from Equation 3

For these coefficients to be proportional, we can multiply the coefficient from Equation 2 by 2:

2 * 1 = 2

Comparing the constant terms:

There is a constant term of 0 in Equation 2, while the constant term in Equation 3 is -3.

To make these constant terms proportional, we need to multiply the constant term in Equation 2 by 0:

0 * 0 = 0

Now we have the following comparison:

-12 (coefficient of x) : -3 (coefficient of x) : 2 (coefficient of y) : 2 (coefficient of y) : 0 (constant term) : -3 (constant term)

The ratios of all these terms are equal, which means the two equations represent the same line. Therefore, the value of b that will cause the system to have an infinite number of solutions is b = 0.

The value of 'b' that would cause the system y = 6x - b and -3x + 2y = -3 to have an infinite number of solutions is 7.5. This is achieved by making the 'b' of the first equation equal to 1.5 of the second equation, thus making the two equations equivalent.

This question involves the topic of algebra, specifically systems of equations. To determine what value of 'b' will make the system of equations have an infinite number of solutions, we must set the two equations equal to each other. In other words, finding a 'b' value that makes the equation y = 6x - b identical to -3x + 2y = -3.

Firstly

, we need to rearrange the second equation to fit the format of y = mx + b. This gives us y = 1.5x + 1.5.

Secondly

, we must look for a 'b' value in the first equation that makes it identical or equivalent to the second equation; in this case, that would be

b = 7.5

, as it makes the two equations identical, thus resulting in an infinite number of solutions.

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Answer:

length = 42 in , width = 14 in

Step-by-step explanation:

given the width is \(\frac{1}{3}\) of the length , then

y - 4 = \(\frac{1}{3}\) (2y + 6) ← multiply both sides by 3 to clear the fraction

3y - 12 = 2y + 6 ( subtract 2y from both sides )

y - 12 = 6 ( add 12 to both sides )

y = 18

then

length = 2y + 6 = 2(18) + 6 = 36 + 6 = 42 in

width = y - 4 = 18 - 4 = 14 in

The probability of getting at least one run of 3 heads in a row be

1021/1024.

Given, a simulation is performed to estimate the probability of getting at least one run of 3 heads in a row in 10 flips of a fair coin.

We have to find the probability of getting at least one run of 3 heads in a row.

Required Probability = 1 - P(X = 0) - P(X = 1) - P(X = 2)

P(X = 0) = P(X = 1) = P(X = 2) = (1/2)^10

Required Probability = 1 - (1/2)^10 - (1/2)^10 - (1/2)^10

Required Probability = 1 - 3/1024

So, the probability of the given event be,

1021/1024

Hence, the probability of getting at least one run of 3 heads in a row be

1021/1024.

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Answer:

I dont know because theres no photo :/

Step-by-step explanation:

Answer: hiaihd

wjhdjad

diwu a

11212

There are 2 dimes in the purse that contains $2.20

An equation is the equality between two algebraic expressions, which have at least one unknown or variable.

Let quarters be = x

The dimes be = 1/4 * x

25x+10x/4 = 220

(100x + 10x) /4 = 220

110x/4 = 220

110x = 220*4

110x = 880

x = 880/110

x = 8

The dimes be = 1/4 * x

The dimes be = 1/4 * 8

The dimes be = 2

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Answer:

C. AB = 10.7

Step-by-step explanation:

Let's look through each option.

Option A

❌ AB = 2(AC)

It can't be that since AC isn't equivalent to BC. AC is 5.5 and CB is 5.2

Option B

❌ AB = 11

AB doesn't equal 11. AB equals to AB + AC.

If you put the numbers in, it gets to AB = 5.5 + 5.2.

If you add the numbers up, it would get to AB = 10.7. Since 10.7 is not 11, option B won't work.

Option C

Option C works as shown in Option B.

Option D

none of the above isn't true since option C works.

Hope this helped! If not, please let me know! <3

Answer:

The flagpole is 15 feet tall.

Step-by-step explanation:

The man casts a shadow that is 2/3 the length of his height. Because we know that the man and the flagpole are standing at the same time of the day, we can conclude that the shadow of the flagpole is 2/3 the length of the flagpole as well. Then, you would multiple 10(3/2) to get 15 as the height of the flagpole.

Answer:

I believe the number is 4.7

For a circle with a diameter of 10 cm, the circumference would be C = π(10) = 31.4 cm. The correct option is (D) 31.4 cm.

The circumference of a circle can be calculated using the formula           C = πd, where C represents the circumference and d represents the diameter of the circle.

We have the diameter of the circle is 10 cm, we can substitute this value into the formula:

C = π * 10 cm

Calculating the circumference using an approximate value of π as 3.14:

C ≈ 3.14 * 10 cm

C ≈ 31.4 cm

Therefore, the circumference of a circle with a diameter of 10 cm is approximately 31.4 cm.

The correct answer is D) 31.4 cm.

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Answer:

\(6x + 6\)

Step-by-step explanation:

a linear expression is the form

\(y = mx + b\)

The equation of the line that is parallel to y = -3x + 6 is: y = -3x - 20.

The equation of the line that is perpendicular to y = -3x + 6 is: y = 1/3x + 20/3.

Recall the following facts:

Given the equation of a line as y = -3x + 6, the slope of the line is m = -3. This implies that, the line that is parallel to y = -3x + 6 will have the same slope of m = -3, and the slope of the line that is perpendicular to y = -3x + 6 will be m = 1/3.

To write the equation of the perpendicular line, substitute m = 1/3 and (a, b) = (-8, 4) into y - b = m(x - a):

y - 4 = 1/3(x - (-8))

y - 4 = 1/3x + 8/3

y = 1/3x + 8/3 + 4

y = 1/3x + 20/3

To write the equation of the parallel line, substitute m = -3 and (a, b) = (-8, 4) into y - b = m(x - a):

y - 4 = -3(x - (-8))

y - 4 = -3x - 24

y = -3x - 24 + 4

y = -3x - 20

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Answer:

C&B i Think this is it

enjoy dis hehehehehheh OOF

Answer:

The answer is b and c

Step-by-step explanation:

Answer:

16x³-128y³

2((2x)³-(4y)³)

2(2x-4y)(4x²+8xy+16y²)

2×2×4(x-2y)(x²+2xy+4y²)

16(x-2y)(x²+2xy+4y²)

is your answer in factor form.

The required factor is given by 16(x-2y)(x²+2xy+4y²)

factors can be defined as the the numbers that multiply to give that number.

Factorization
It follow the
a^3-b^3 = (a-b)(a^2+ab+b^2)

\(16x^3-128y^3\\16(x^3-(2y)^3)\\16(x-2y)(x^2+2xy+4y^2)\)

Thus the required  factor is given by 16(x-2y)(x²+2xy+4y²).

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Based on the provided information, three possible aggregate plans for SureStep Company are:

Level Plan: Produce a constant number of shoes each month to match the average demand over the four months.

Chase Plan with Overtime: Adjust the workforce level each month to match the demand exactly, utilizing overtime when necessary.

Chase Plan without Overtime: Adjust the workforce level each month to match the demand exactly, without using overtime.

To determine the best aggregate plan, we need to evaluate each plan based on the given criteria. Let's analyze each plan in detail:

Level Plan:

In this plan, SureStep Company produces a constant number of shoes each month to match the average demand over the four months. This means the product will be 4,750 pairs of shoes per month ([(3000+5000+2000+1000)/4]). By using a level plan, SureStep aims to have a stable production rate and maintain a steady workforce.

Chase Plan with Overtime:

In this plan, SureStep adjusts the workforce level each month to match the demand exactly. The company utilizes overtime when necessary to meet the demand. By hiring or firing workers, they can achieve the required workforce level. The number of workers required each month is calculated by dividing the demand for that month by the regular working hours per worker (160 hours) and rounding it up to the nearest whole number. If the demand exceeds the capacity even with regular working hours, overtime is used.

Chase Plan without Overtime:

Similar to the Chase Plan with Overtime, SureStep adjusts the workforce level each month to match the demand exactly. However, in this plan, overtime is not utilized. The number of workers required each month is calculated the same way as in the previous plan, but if the demand exceeds the capacity even with regular working hours, the excess demand is back-ordered.

To decide which plan to follow, we need to consider various factors such as costs, customer satisfaction, and overall company objectives. Here are some points to consider:

Level Plan: This plan provides a consistent production rate and helps in managing inventory levels efficiently. However, it may result in higher holding costs due to excess inventory. Also, it may lead to customer dissatisfaction if there are significant variations in demand during the four months.

Chase Plan with Overtime: This plan allows SureStep to meet the exact demand each month by adjusting the workforce level and utilizing overtime when necessary. It helps in minimizing holding costs and back-ordering costs. However, overtime labor costs and the cost of hiring/firing workers should be considered. It may also lead to potential employee fatigue due to overtime work.

Chase Plan without Overtime: This plan aims to meet the exact demand each month without utilizing overtime. It helps in minimizing overtime labor costs but may result in higher back-ordering costs and potential customer dissatisfaction due to delayed deliveries.

Based on the specific cost and customer satisfaction preferences of SureStep Company, the operations manager needs to evaluate the trade-offs and select the most suitable aggregate plan. The decision may involve analyzing the financial impact, evaluating customer service levels, and considering the company's overall strategy and goals.

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An equation that mode the relationship between thee two variable is y=2x+3 .

Let x represent the number of 6-month period worked

Let y represent the total number of paid vacation day

According to the question,

When he started work, he was given three paid day of vacation. For each six-month period he pay at the job, his vacation is increased by two day.

Each year has 2 six-month periods. After 4.4 years Roberto will have worked 8.8 six-month periods. He will have been given vacation days for each of the 8 whole working periods he has completed. x=8 y=2*8+3 y=19

An equation that mode the relationship between thee two variable is y=2x+3 (Total vacation time equals 2 days times x plus the 3 days he was given at the start).

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Answer:

-3

Step-by-step explanation:

Pick two points on the graph, lets go with (0, 4) and (1, 1)

y = mx + b

m is the slope and to figure it out use below formula

m = (y₂ - y₁) / (x₂ - x₁)

  = (1 - 4) / (1 - 0)

  = -3 / 1

  = -3

Answer:

C. -3

Explanation:

Given problem;

 To solve for the slope of the line;

The slope of a line is the vertical distance to the horizontal displacement on a line.

  Slope  = \(\frac{Vertical distance}{horizontal displacement}\)

For lines such as this, we use the formula below;

                        Slope  = \(\frac{y_{2} - y_{1} }{x_{2} - x_{1} }\)

To find the slope reference the image attached;

     point 1 (0,4)      x₁  = 0   y₁  = 4

     point 2 (2,-2)    x₂  = 2   y₂  = -2

Now input the parameters and solve;

          Slope  = \(\frac{-2 - 4}{2 - (0)}\)   =    \(\frac{-6}{2}\)  

          Slope  = -3

The slope of the line is -3

Ashley used 8/25 of the spool for her project.

To determine the fraction of the spool that Ashley used for her project, we need to multiply the fraction of the spool she had (4/5) by the fraction she used (2/5):

(4/5) * (2/5) = 8/25

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Answer:

5x+3y-1475=0

Step-by-step explanation:

if this helps please mark brainliest <3

Therefore, the equivalent metric length of a 3-inch scar would be 7.62 centimeters.

Explanation: Metric length is a measurement system that uses the metric unit. The metric unit is more common than the customary unit system in the United States. To convert customary unit lengths to metric lengths, a conversion factor is used.3 inches is the measurement of the scar in customary units. To convert 3 inches to metric units, multiply it by the conversion factor. There are 2.54 centimeters in one inch, which is the conversion factor. To find the equivalent metric length of a 3-inch scar, multiply 3 by 2.54. Therefore, the equivalent metric length of a 3-inch scar would be 7.62 centimeters.  The equivalent metric length of a 3-inch scar would be 7.62 centimeters. Metric length is a measurement system that uses the metric unit. The metric unit is more common than the customary unit system in the United States. To convert customary unit lengths to metric lengths, a conversion factor is used. There are 2.54 centimeters in one inch, which is the conversion factor.

Therefore, the equivalent metric length of a 3-inch scar would be 7.62 centimeters.

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Answer:

y= 2x+9

Step-by-step explanation:

Answer:

y=-2x+9

Step-by-step explanation:

y=mx+b

The rate of change of the population at the start of April 2015 F'(0) = 0

To find f'(0), we need to use the information given about birth, death, and migration rates to determine the rate of change of the population at time t = 0.

Let B(t) be the number of births, D(t) be the number of deaths, and M(t) be the number of new international migrants at time t, measured in seconds from the start of April 2015. Then we have:

B(t) = t/8

D(t) = t/12

M(t) = t/32

To find the population function f(t), we need to integrate the net rate of change of the population, which is the difference between the rate of births, the rate of deaths, and the rate of migration:

f'(t) = B(t) - D(t) + M(t)

= (1/8)t - (1/12)t + (1/32)t

= (1/96)t

Integrating f'(t), we get

f(t) = (1/192)t^2 + C

where C is the constant of integration. To determine C, we need to use the initial condition that f(0) is the population at the start of April 2015, which was approximately 321,418,820 according to the US Census Bureau.

f(0) = (1/192)(0)^2 + C

C = 321,418,820

Therefore, the population function is

f(t) = (1/192)t^2 + 321,418,820

Finally, we can find f'(0) by differentiating f(t) with respect to t and evaluating at t = 0

f'(t) = (1/96)t

f'(0) = (1/96)(0) = 0

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The given question is incomplete, the complete question is:

In April 2015 in the US, there was one birth every 8 seconds, one death every 12 seconds, and one new international migrant every 32 seconds (a) Let f(t) be the population of the US, where is time in seconds measured from the start of April 2015. Find f'(0)

The given statement in the given question about Variable and Constant is True.

A variable is a letter or symbol that represents a value that can vary or change. Variables are commonly used in mathematics and programming to represent values that are not yet known or may vary in different scenarios. Variables are used in many areas of mathematics, statistics, and computer science to represent values that can change or vary. A variable can represent a single value or a range of values. A constant, on the other hand, is a value that remains fixed and does not change. Constants are often used in programming to represent values that are known and do not change throughout the execution of the program.

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Complete Question

Variable: is any letter or symbol that represents. Constant: has a fixed value that does not change

State whether TRUE OR FALSE.