There are 40 houses in the neighborhood around CMS that have internet service
1/8of the houses use AT&T.
2/5of the houses use Spectrum.
1/4 of the houses use Frontier.
The rest of the homes do not have internet service.
How many homes in the neighborhood DO NOT have internet service?
31
26
9
16

Answer:

\(n + d = 368\)

\(0.05n + 0.10d = 28.40\)

Step-by-step explanation:

Given

\(Total = 368\)

\(Value = \$28.40\)

Required

Determine the linear equations to represent the scenario

Represent nickel with n and dimes with d

So, the total is:

\(n + d = 368\)

\(1\ nickel = \$0.05\)

\(1\ dime = \$0.10\)

So, the value is:

\(0.05n + 0.10d = 28.40\)

Hence, the linear equations are:

\(n + d = 368\)

\(0.05n + 0.10d = 28.40\)

The system of linear equations and solution can be used to represent the number of nickels and dimes Matthew has in his collection is n + d = 368 0.05n + 0.1d=28.4  168 nickels and 200 dimes.

Given that,

Based on the above information, the calculation is as follows:

n + d = 368

So,

d = 368 - n

And,

0.05n + 0.10d = 28.40

0.05n + 0.10(368 - n) = 28.40

0.05n + 36.8 - 0.10n = 28.40

0.05n = 8.4

n = 168

So, d = 368 - 168

= 200

Therefore we can conclude that the correct option is A.

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The matrix equation corresponding to the given system of equations is:

| 1  3   5 | | x |     | 12 |

|-2  1  -4 | | y |  =  |-2 |

| 7 -2   0 | | z |     |  7 |

To represent the system of equations in matrix form, we can arrange the coefficients of the variables and the constant terms into matrices.

The system of equations:

x + 3y + 5z = 12

-2x + y - 4z = -2

7x - 2y = 7

can be written in matrix equation form as:

AX = B,

where A is the coefficient matrix, X is the variable matrix, and B is the constant matrix.

The coefficient matrix A consists of the coefficients of the variables x, y, and z:

A = | 1  3   5 |

-2  1  -4 |

7 -2   0 |

The variable matrix X consists of the variables x, y, and z:

X = | x |

| y |

| z |

The constant matrix B consists of the constant terms on the right side of the equations:

B = | 12 |

|-2 |

| 7 |

Therefore, the matrix equation corresponding to the given system of equations is:

| 1  3   5 | | x |     | 12 |

|-2  1  -4 | | y |  =  |-2 |

| 7 -2   0 | | z |     |  7 |

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Since you have the option to choose any number from 1 to 100, you need to calculate the expected payout for each case and choose the number that yields the highest expected value.

Let's denote the number of marbles you put in the bag as n. The probability of your marble being picked is 1/n, as there are n marbles in total and only one is chosen. In this case, your payout would be (100 - n). Therefore, the expected payout can be calculated.

To find the optimal number of marbles, we need to maximize the expected payout. We can do this by taking the derivative of the expected payout with respect to n and setting it equal to zero. Solving this equation will give us the value of n that maximizes the expected payout.

However, since the equation is not a simple linear or quadratic equation, solving it analytically might be challenging. Therefore, numerical methods or optimization algorithms can be employed to find the optimal value.

In this scenario, it is difficult to determine the exact optimal number of marbles without further information or assumptions about your preferences or risk aversion. However, through the use of mathematical techniques, you can determine the expected payouts for different numbers of marbles and choose the one that aligns with your desired outcome or risk tolerance.

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Answer:

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

Step-by-step explanation:

\(12x^2-4x-40\\\\\mathrm{Factor\:out\:common\:term\:}4:\\\quad 4\left(3x^2-x-10\right)\\\\\mathrm{Factor}\:3x^2-x-10:\quad \left(3x+5\right)\left(x-2\right)\\\\=4\left(3x+5\right)\left(x-2\right)\)

Answer:  need to buy 2 dozen muffins=24

need to buy 3 packs of orange juices=24

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

We need AC ≅ XZ to show that triangle ABC ≅ triangle XYZ by ASA congruence of triangle.

What is ASA congruence of triangle?

The two triangles are considered to be congruent according to the ASA rule if any two angles and the side located between the angles of one triangle are equal to the corresponding two angles and side located between the angles of the second triangle.

We are given the following:

1. ∠A ≅ ∠X

2. ∠C ≅ ∠Z

Now, in order to show the triangles as congruent by ASA congruence of triangle, we need the side which is in between both the angles.

The sides in between both the angles are AC and XZ.

Hence, we need AC ≅ XZ to show that triangle ABC ≅ triangle XYZ by ASA congruence of triangle.

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The value of p in the given equation is -1.

Given is an equation p-3 = -4, we need to find the value of p,

So,

p-3 = -4

p = -4+3

p = -1

Hence, the value of p in the given equation is -1.

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Answer:

62

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define expression

64 + [40 ÷ (4 - 7 + 8)] - 10

Step 2: Evaluate

And we have our final answer!

Answer:

F. 20(3a-10)^2

Please give me brainliest

Step-by-step explanation:

180a^2-1200a+2000

Start by looking for a common factor: In this case, it's 20

From here, divide 20 from every number

180a^2/20= 9a^2

1200a/20= 60a

2000/20= 100

You end up with:

20(9a^2-60a+100)

But you can still simplify (9a^2-60a+100)

(9a^2-60a+100) simplifies to (3a-10)^2

So the answer is:

20(3a-10)^2

If a number in parenthesis is directly next to a number without, then the two numbers need multiplied.

-12(5/6)(-2/15) is an example of a double multiplication. But we'll multiply -12 and 5/6 first, then multiply the product by -2/15.

-12x5/6=14 2/5

14 2/5x-2/15=-1 23/25

---

hope it helps

sorry if it doesn't

A scale factor is a contracting scale such that x < 1, where x is the scale factor.

For example, if the scale factor x is less than 1, then it must be decreasing in size, and thus be contracting in size.

But, if the scale factor is greater than 1, then it is expanding in size and increasing.

1) -5 is expanding. It is greater than one.

2) -1/4 is contracting. It is less than one.

3) 3.5 is expanding. It is greater than one.

4) 6/7 is contracting. It is less than one.

Answer:

9 + 10 + 11

Step-by-step explanation:

guess and check

Answer:

9,10,and 11

Step-by-step explanation:

Answer:

1) 5280 feet/sec

2)$3.41

Step-by-step explanation:

60 miles is 316800 feet, divided by 60 which is 5280 feet/sec

2)2.4x1.42 is 3.41

Viktor is in the 60th percentile, which is 85, while the percentile for 71 is 26.666.

Percentile is defined as the value below which a given percentage falls under. Ben, for instance, is the fourth tallest child in a group of 20, and eighty percent of the kids are shorter than you. As a result, Ben is in the 80th percentile.

We have the data

Sort the data as follows: 58, 64, 66, 70, 71, 75, 77, 80, 84, 85, 87, 90, 93, 95, 96

employing the percentile formula,

Percentile is calculated as follows: 71 Percentile

(4 / 15)*100 Percentile

26.666 Percentile = (Number of Values Below "x" / Total Number of Values) 100

Consequently, 71's percentile is equal to 26.666.

Identifying the rank

Thus, the ranking is 0.6.

To find the rank for viktor

Find the percentile using the formula,

Percentile = Rank × Total number of the data set

Percentile = 0.6 × 15

Percentile = 9

Now, counting 9 values from left to right we reach 85, and we can say that all the values below 85 will come under the 60th percentile. In other words, 60% of the values are below 85.

The 60th percentile is 85

Thus viktor is in 60th percentile is 85

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Step-by-step explanation:

Break it up into two trapezoids as shown

area = trap1 + trap2

      = 2 *   (7+3) / 2   + 3 *  ( 7 + 3) / 2 = 10 + 15 = 25 units^2

Answer:

The speed of Sara is 78.4 km/h.

Step- by-step explanation:

Manuel and Sara travel a certain distance, and the times they use are in the ratio 21/15. Manuel's speed is 56km / h. What is Sara's speed?

Let the distance is d.

speed of Manuel = 56 km/h

time taken by Manuel = 21 t

time taken by Sara =  15 t

Let the speed of Sara is v.

Distance = speed x time

For Manuel:

d = 56 x 21 t ..... (1)

For Sara:

d = v x 15 t ..... (2)

From (1) and (2)

56 x 21 t = v x 15 t

v = 78.4 km/h

The Production Possibility Frontier (PPF) is often called the "Opportunity Cost Curve" because it illustrates the concept of opportunity cost.

Opportunity cost is the cost of one alternative in terms of the benefits forgone of the best alternative. In other words, it's the cost of one choice in terms of the best alternative choice.

As we move along the PPF, we can see that as we produce more of one good, we must give up some production of the other good. This trade-off is represented by the slope of the PPF, which is the opportunity cost of producing one good in terms of the other good. The PPF illustrates the relationship between production and opportunity cost by showing the trade-offs that must be made and the opportunity costs associated with different production choices.

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Given the provided coordinates of the points, The shape that is formed is a parallelogram because the slopes of the opposite sides are same.

In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction. Divide the difference in elevation between two points by the distance between them to find the percent slope, then multiply the result by 100. The term "rise" refers to the difference in elevation between two sites. The run is the separation between the points. Percent slope is therefore equal to (rise / run) x 100.

A coordinate system in geometry is a method for determining the precise location of points or other geometrical objects on a manifold, such as Euclidean space, using one or more numbers, or coordinates.

slope between (1,1) and (4,4),

m1 = 4-1/4-1 =3/3 =1

slope between (4,-2) and (7,1),

m2= 1+2/7-4 = 3/3 =1

m1=m2

similarly, slope between (1,1) and (4,-2),

m3= -2-1/4-1 = -3/3 =-1

slope between (7,1) and (4,4)

m4= 1-4/7-4 = -3/3 =-1

m3=m4

So, slopes of opposite sides are same that means they are parallel, The shape is parallelogram.

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Step-by-step explanation:

1)

In a right triangle longest side is hypotenuse and the remaining two sides represent the perpendicular legs.

Hence, from the given question it is obvious that 25 is hypotenuse and 20 and 15 are perpendicular legs.

Now, by Pythagorean theorem:

\( (one\: side) ^2 +(other \: side) ^2 = (hypotenuse) ^2

\\\\\therefore 20^2 +15^2 =25^2\)

2)

Because all right triangles have one hypotenuse and two perpendicular legs.

Answer:

.471 in2

Step-by-step explanation:

Use the formula for total surface area of a cylinder: 2*pi*r^2(top and bottom circle) + 2*pi*r*h (the surface around)

Answer:

40/90 is 0.4(it goes on for ever)

Step-by-step explanation:

What is the product of multiplying: The product is the result or answer of multiplying the multiplicand by the multiplier.

What is the product of Adding: Definition of addition product : a product formed by chemical addition

What is the product of Subtracting: Subtraction is an arithmetic operation that represents the operation of removing objects from a collection. The result of a subtraction is called a difference.

Hope this helps

Answer:

5x+136 = 180

180-136 = 44

5x = 44

44/5 = x

8.8 = x

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

If two methods agree perfectly in a method comparison study, the slope equals 1.0 and the y-intercept equals 0.0. Therefore, option (b) is the correct answer.

In a method comparison study, the goal is to compare the agreement between two different measurement methods or instruments. The relationship between the measurements obtained from the two methods can be described by a linear equation of the form y = mx + b, where y represents the measurements from one method, x represents the measurements from the other method, m represents the slope, and b represents the y-intercept.

When the two methods agree perfectly, it means that there is a one-to-one relationship between the measurements obtained from each method. In other words, for every x value, the corresponding y value is the same. This indicates that the slope of the line connecting the measurements is 1.0, reflecting a direct proportional relationship.

Additionally, when the two methods agree perfectly, there is no systematic difference or offset between the measurements. This means that the line connecting the measurements intersects the y-axis at 0.0, indicating that the y-intercept is 0.0.

Therefore, in a perfect agreement scenario, the slope equals 1.0 and the y-intercept equals 0.0, which corresponds to option (b).

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The algebraic expression is represented as 4d - 2.5

An algebraic expression is simply defined as an expression that is composed of coefficients, factors, constants, terms, and variables.

They are also composed of mathematical operations, such as;

From the information given, we have that;

The variable = d

The constant = 2.5

The coefficient = 4

This is represented as;

4d - 2.5

Hence, the expression is 4d - 2.5

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We can say with 90% confidence that the increase in proportion of people satisfied with their financial situation is between 1.05% and 6.71%.

To calculate the confidence interval for the increase in proportion of people satisfied with their financial situation, we need to first calculate the proportions for both years:

Proportion in year 1 = 478/2038 = 0.2342
Proportion in year 2 = 537/1967 = 0.2730

The increase in proportion is:
0.2730 - 0.2342 = 0.0388

To calculate the confidence interval, we can use the formula:
CI = (point estimate ± (critical value x standard error))

The point estimate is the increase in proportion we just calculated: 0.0388

The critical value can be found using a z-table for a 90% confidence level. The z-value for a 90% confidence level is 1.645.

The standard error can be calculated using the formula:
sqrt[(p1(1-p1)/n1) + (p2(1-p2)/n2)]

where p1 and n1 are the proportion and sample size for year 1, and p2 and n2 are the proportion and sample size for year 2.

Plugging in the values, we get:
SE = sqrt[(0.2342(1-0.2342)/2038) + (0.2730(1-0.2730)/1967)] = 0.0174

Now we can plug in all the values to get the confidence interval:
CI = (0.0388 ± (1.645 x 0.0174)) = (0.0105, 0.0671)

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Answer:

speed is given by:

speed=distance/time

given that:

1 mile=1,760 yards

1 hour=60 min

then the speed in yards/sec will be:

distance Ashley covered is 15 miles

time=2 hours

thus;

speed=(15x1760)/(2x60)

=220 yards/ min

Step-by-step explanation:

Hi hope helps you :)

Answer: m = 3.89

Step-by-step explanation:

(3m/5)+(m/2) =(4/1)+(2/5)

= (taking LCM) (6m+5m)/10 = (20+1)/5

or, 11m/10 = 21/5

or, 55m = 210

or, m = 210/55

so, m = 3.89

Answer: Research

Step-by-step explanation: