4x -1 = -x+9 i need help its for a testtt

Answer:

68 miles

Step-by-step explanation:

Distance biked on the first five days =67,60 ,69 ,68 , and 70 miles

Let the distance biked on the sixth day=x miles

We want his average for the 6 days =67 miles per day

Therefore:

\(Average=\dfrac{67+60+69+68+70+x}{6} \\67=\dfrac{334+x}{6}\\$Cross multiply\\67*6=334+x\\402=334+x\\x=402-334\\x=68 miles\)

He needs to bike 68 miles on the sixth day to get an average of 67 miles per day/

Therefore, m = 7.5454... (rounded to four decimal places) and n = 0.5455...

What is Simultaneous Equations?

A finite set of equations for which common solutions are sought is referred to as a set of simultaneous equations, often known as a system of equations or an equation system.

1) 3p + 4q = 23

10p + 12q = 74

Subtracting 3 times the first equation from the second equation, we get:

10p + 12q - 3(3p + 4q) = 74 - 3(23)

10p + 12q - 9p - 12q = 5

p = 5

Substituting p = 5 in the first equation, we get:

3(5) + 4q = 23

4q = 8

q = 2

Therefore, p = 5 and q = 2.

2) 4s + 2t = 20

11s + 4t = 49

Multiplying the first equation by 2 and subtracting it from the second equation, we get:

11s + 4t - 2(4s + 2t) = 49 - 2(20)

11s + 4t - 8s - 4t = 9

3s = 9

s = 3

Substituting s = 3 in the first equation, we get:

4(3) + 2t = 20

2t = 8

t = 4

Therefore, s = 3 and t = 4.

3) 3a + 4b = 34

12a + 5b = 59

Multiplying the first equation by 3 and subtracting it from the second equation, we get:

12a + 5b - 3(3a + 4b) = 59 - 3(34)

12a + 5b - 9a - 12b = 17

3a - 7b = 17

Multiplying the first equation by 5 and subtracting it from the second equation, we get:

12a + 5b - 5(3a + 4b) = 59 - 5(34)

12a + 5b - 15a - 20b = -61

-3a - 15b = -61

a + 5b = 20

Adding the equations 3a - 7b = 17 and a + 5b = 20, we get:

4a = 37

a = 9.25

Substituting a = 9.25 in the equation a + 5b = 20, we get:

9.25 + 5b = 20

5b = 10.75

b = 2.15

Therefore, a = 9.25 and b = 2.15 (rounded to two decimal places).

4) 6m + 5n = 48

18m + 4n = 78

Multiplying the first equation by 3 and subtracting it from the second equation, we get:

18m + 4n - 3(6m + 5n) = 78 - 3(48)

18m + 4n - 18m - 15n = -6

-11n = -6

n = 0.5455...

Substituting n = 0.5455... in the first equation, we get:

6m + 5(0.5455...) = 48

6m = 45.2727...

m = 7.5454...

Therefore, m = 7.5454(rounded to four decimal places) and n = 0.5455.

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The study has a confounding variable since the two groups differ in the time they were supposed to report to the testing room. Since the groups differed in terms of sleep deprivation and the time they were supposed to report to the testing room, the effect of sleep deprivation on learning could not be isolated.

The statement that is true is: d. All of these are true.Explanation:A study may have various sources of variability, including participant selection, the setting in which the study is conducted, and the measure used. The following options are as follows:a. The study may be affected by a situational variable.b. The construction noise may contribute to variability in test scores.c. The study has a confounding variable. The groups differ in the time they are to report to the testing room.d. All of these are true.Therefore, all of these options are true. For example, the study may be affected by a situational variable if a natural disaster or other unforeseen event happens that causes the study to be disrupted. In this case, the study was disrupted by a noisy construction crew, which may have contributed to variability in test scores. The study has a confounding variable since the two groups differ in the time they were supposed to report to the testing room. Since the groups differed in terms of sleep deprivation and the time they were supposed to report to the testing room, the effect of sleep deprivation on learning could not be isolated.

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The correct answer is option a. `x−1x22`

What is the given expression?`x2 x − 2x3 − x2 2x − 2`To write it in the simplest form, we will first group the like terms:x2 x − x2 2x − 2x3 − 2On combining `x2 x` and `-x2`, we get:x2 x − x2=0This simplifies the expression to:`−2x3−2`Taking `-2` common from the above expression, we get:-2(x3+1)

Therefore, the given expression in its simplest form is:-2(x3+1) or -2x³-2Now, let's move onto the options given. a. `x−1x22`This option can be written as `x(1-x2)/2(x-1)`. But there is a common factor of `x-1` in the numerator and the denominator. On cancelling it out, we get:-x/2Thus, option a. is the correct answer.

Note: There is a typographical error in the option given. The expression in option a. should be written as `x(1-x2)/2(x-1)` instead of `x−1x22`.

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For tax year 2018, Ben's standard deduction is $12,000. As a single filer, the standard deduction amount he can claim is $12,000.The standard deduction is a fixed amount of money that reduces the amount of income subject to taxation.

A taxpayer can choose to claim the standard deduction or itemize their personal deductions. If the sum of all itemized deductions exceeds the standard deduction, the taxpayer should opt to itemize. If the sum of itemized deductions is less than the standard deduction, the taxpayer should opt to take the standard deduction.A legally blind taxpayer may qualify for a higher standard deduction.

For tax year 2018, the additional standard deduction amount for a taxpayer who is blind is $1,600.

Since Ben is legally blind, his standard deduction amount could have been $12,000 + $1,600 = $13,600 if he had chosen to take the higher standard deduction.

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Step-by-step explanation:

we have 2 blocks, as the graphic shows.

the surface areas of both blocks are the sum of their 6 sides each.

the special thing about seeing them as "composite figure" is that 2 sides (one for each block) are partly or even completely blocking each other off from being seen, so these parts and whole side are not part of the combined surface area.

let's start with the large block :

it is 5cm × 6cm × 20cm.

its surface area is the sum of

top and bottom 5×6

front and back 20×5

left 20×6

visible right (20 - 12)×6 = 8×6

it is (20-12)cm long, because the short block

is 12cm high.

so, we have

2 times 5×6 =2×30 = 60 cm²

2 times 20×5 = 2×100 = 200 cm²

20×6 = 120 cm²

8×6 = 48 cm²

in total : 428 cm²

now the small block :

it is 4cm × 6cm × 12cm.

its surface area is the sum of

top and bottom 4×6

front and back 4×12

no left (completely covered by the large block)

right 6×12

so, we have

2 times 4×6 = 2×24 = 48 cm²

2 times 4×12 = 2×48 = 96 cm²

6×12 = 72 cm²

in total : 216 cm²

the complete surface area of the composite figure is

428 + 216 = 644 cm²

Answer:

11.5652173913

Step-by-step explanation:

You might have to round

Answer:

I would say A

Step-by-step explanation:

Answer:

y is 2

Step-by-step explanation:

plug in 9 for x and you get y is 2

Answer:

2

Step-by-step explanation:

Substitute 9 for x and calculate the y value:

y = (1/3)(9) -1 = 2

Answer:

2

Step-by-step explanation:

4/2=2

The reflection of the security strobe lights on the wall of the movie theater is moving at a speed of π ft/s when it is 30 ft from the car.

The speed at which the reflection of the security strobe lights moves along the wall can be determined by considering the rotational speed of the strobe lights and the geometry of the situation. The strobe lights make 2 revolutions per second, which means they complete 2 full circles in one second.

To find the speed of the reflection, we can consider the relationship between the distance from the car and the angle of rotation. The distance traveled by the reflection is related to the angle subtended by that distance at the center of rotation. In this case, the distance from the car is changing, and we want to find the corresponding angular speed.

Let's denote the distance from the car as d and the angle of rotation as θ. We can set up a proportionality between the arc length (d) and the angle (θ) using the formula for the circumference of a circle:

2π radians = 2π ft (corresponding to one complete revolution)

Thus, the proportionality can be written as:

θ radians = d ft

We are given that when the reflection is 30 ft from the car, the angle θ is π radians (corresponding to half a revolution). Solving the proportionality for θ, we find θ = d/25π.

To find the speed of the reflection, we need to differentiate θ with respect to time. Differentiating both sides of the proportionality, we get:

dθ/dt = 1/25π * dd/dt

Since dθ/dt represents the angular speed and is equal to the rotational speed of the strobe lights (2 revolutions per second), we have:

2 = 1/25π * dd/dt

Solving for dd/dt, we find:

dd/dt = 50π ft/s

Therefore, the reflection of the security strobe lights is moving at a speed of 50π ft/s when it is 30 ft from the car.

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To find out which of the following decimal numbers has an exact representation in binary fixed-point notation, we need to convert the decimal numbers to binary fixed-point notation.

Below is the conversion of each decimal number to binary fixed-point notation.

52.1874 = 110100.00101110268.

1872 = 10000100.00101110268.

1873 = 10000100.00101111285.

1875 = 100001101.0011112

Since all the numbers have digits beyond the hundredths place in their decimal parts, all but 52.1874 and 68.1872 can't be represented exactly in binary fixed-point notation.

52.1874 can be represented exactly in binary fixed-point notation because it has only 0s after the hundredths place. Therefore, the correct answer is option A) 52.1874.

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\(\huge\red{\mid{\fbox{\tt{Answer}}\mid}}\)

Answer:

< B = 94

Step-by-step explanation:

Remark

You should edit the question. The way you wrote it, , it looks like you have to square two binomials. That isn't the way it is given I don't think. You are told that A and B are supplementary. That means

A+B = 180

Equation

(8x + 6) + (7x + 24) = 180          Remove the brackets

Solution

8x + 6 + 7x + 24 = 180              Collect like terms

15x + 30 = 180                           Subtract 30 from both sides

15x = 180 - 30

15x = 150                                   Divide by 15

x = 150 / 15

x = 10

Answer

What you need is <B

<B = 7x + 24

<B = 7*10 + 24

<B = 70 + 24

<B = 94

Yes , the integer k is divisible by 4 and statement (1) alone is sufficient to determine that k is divisible by 4.

Given data ,

Let the equation be represented as A

Now , the value of A is

a)

To determine if the integer k is divisible by 4, let's analyze the given statements:

Statement (1): 8k is divisible by 16.

This means that 8k is a multiple of 16. Since 16 is divisible by 4, we can conclude that k must be divisible by 4 as well. Therefore, statement (1) alone is sufficient to determine that k is divisible by 4.

8k = 16

k = 2

b)

This statement does not provide direct information about the divisibility of k by 4. While 12 is divisible by 4, the fact that 9k is divisible by 12 does not guarantee that k itself is divisible by 4.

9k = 12

k = 12/9

k = 4/3

So , it is not an integer

In conclusion, statement (1) alone is sufficient to determine that k is divisible by 4. Statement (2) is not sufficient on its own.

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The solution to the equation represented by 10raised to power x=2 is 0.301

The statement in the question is given as

10raised to power x=2

Mathematically, this statement can be represented as

10ˣ = 2

Take the logarithm of both sides

So, we have:

xlog(10) =log(2)

Evaluate log(10)

x * 1 = log(2)

So, we have

x = log(2)

Evaluate the expression

x = 0.301

Hence, the solution is 0.301

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On average, customers needing routine repairs wait for 1.67 hours, while customers needing major repairs wait for 2.5 hours before being served.

Let's consider the average number of customers waiting and the throughput rates for routine repairs and major repairs. With one hoist dedicated to routine repairs and one hoist dedicated to major repairs, the throughput rate for routine repairs is 3 cars per hour, and the throughput rate for major repairs is 1 car per hour. The average number of customers waiting for routine repairs is 5, and the average number of customers waiting for major repairs is 3. Using Little's Law, which states that the average number of customers in a system is equal to the arrival rate multiplied by the average time spent in the system, we can calculate the average waiting time for each type of customer. For routine repairs, the arrival rate is 3 cars per hour, and the average number of customers waiting is 5. Therefore, the average waiting time for routine repairs is 5/3 = 1.67 hours. Similarly, for major repairs, the arrival rate is 1 car per hour, and the average number of customers waiting is 3. Therefore, the average waiting time for major repairs is 3/1 = 3 hours. By dedicating one hoist to routine repairs and one hoist to major repairs, the average waiting time for routine repairs is reduced compared to the previous scenario when all repairs were done on a first-come, first-served basis. However, the waiting time for major repairs has increased due to the lower throughput rate for major repairs compared to routine repairs.

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Answer:

The Answer is B (2x\(10^{9}\),7x\(10^{-1}\),8x\(10^{-8}\),9x\(10^{-9}\))

Step-by-step explanation:

It is the largest to smallest.

Answer:

C

Step-by-step explanation:

1/18 x³y + 7/18 xy²

1/18 xy (x² + 7y)

Answer:

Step-by-step explanation:

Speed = Distance/ Time

Answer: A, B, and E

Step-by-step explanation:

On edgenuity

Answer:

A B and E is correct on edge 2021

Step-by-step explanation:

trust me i got it correct on edge

Answer:

\(f(x) = (x+1)(x-2)(x+4)\)

        \(= (x^{2} +x-2x-2)(x+4)\\\\= (x^{2} -x-2)(x+4)\\\\= x^{3}-x^{2}-2x+4x^{2} -4x-8\\\\= x^{3} +3x^{2} -6x-8\)

The box and whisker plot of the prices of some DVDs:

Minimum: 9.99

First Quartile: 12.99

Median: 15.99

Third Quartile: 19.99

Maximum: 26.99

The box and whisker plot shows that the median price of a DVD is $15.99. The prices range from $9.99 to $26.99. There are two outliers, one at $9.99 and one at $26.99.

The box and whisker plot can be used to identify the distribution of the data. In this case, the data is slightly skewed to the right, meaning that there are more DVDs priced at the lower end of the range than at the higher end.

The box and whisker plot can also be used to compare different sets of data. For example, we could compare the prices of DVDs from different stores or from different years.

Overall, the box and whisker plot is a useful tool for visualizing and summarizing data.

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The length of NM and OL in the parallelogram LMNO are both 36 units.

Since LMNO is a parallelogram, we know that opposite sides are equal in length. Therefore, we can set NM and OL equal to each other:

NM = OL

We also know that NM = x + 27 and OL = 3x + 9, so we can substitute these expressions into the equation:

x + 27 = 3x + 9

Solving for x:

2x = 18

x = 9

Now that we know x, we can substitute it back into the expressions for NM and OL:

NM = x + 27 = 9 + 27 = 36

OL = 3x + 9 = 3(9) + 9 = 36

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The correct interpretation is with a one unit increase in x.2, the response increases by 18.385, on average.

The coefficient for x.2 represents the average change in the response variable for a one unit increase in x.2, while holding other variables constant.

In this case, the coefficient indicates that, on average, when x.2 increases by one unit, the response variable increases by 18.385. This implies a positive linear relationship between x.2 and the response.

Furthermore, the statement that the average of x.2 is 18.385 indicates that the average value of x.2 in the given data is 18.385.

Finally, when x.2 is 0, the value of the response is also 18.385, suggesting that this serves as a reference point or baseline for the response variable.

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Research has shown that when administering a survey, respondents who are asked questions in which they have little or no knowledge are likely to respond with inaccurate or incomplete information.

This can happen due to several reasons, such as the respondents feeling embarrassed or ashamed of admitting their lack of knowledge, or simply guessing the answer to avoid appearing uninformed. Graeff's (2003) study highlights the importance of carefully designing survey questions to ensure that they are clear and easy to understand for all respondents, regardless of their level of knowledge on the topic. It is also important to provide respondents with options such as "I don't know" or "Not applicable" to encourage honest and accurate responses. Administering surveys can be a valuable tool for gathering information, but it is crucial to consider the limitations and potential biases that may arise. Conducting thorough research and using appropriate survey methods can help to ensure that the data collected is reliable and useful for making informed decisions.

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Answer:

7

Step-by-step explanation:

We can solve this problem by making an equation for the monthly bill. First, the cost is $59.99 per month, and that cannot be decreased, so we must add all costs to that amount. Next, it costs $5.49 per first run movie, so for each first run movie, we add $5.49 to the total. Therefore, we can write our equation as

59.99 + 5.49 per first run movie = monthly bill

Representing the number of first run movies as r, we can say

59.99 + 5.49 * r = monthly bill

Next, the monthly bill should be less than or equal to 100, so we can say

monthly bill ≤ 100

59.99 + 5.49 * r = monthly bill ≤ 100

Moreover, we want to maximize r, or the amount of first run movies. Because we add money to the monthly bill for each movie, to maximize r, we have to find the maximum money we can spend on the monthly bill that is still less than or equal to 100. To do this, we set the monthly bill to its maximum limit, or 100, so we have

59.99 + 5.49 * r = 100

subtract 59.99 from both sides to isolate the f and its coefficient

40.01 = 5.49 * r

divide both sides by 5.49 to isolate the variable

r ≈ 7.29

Since we can't buy .29 of a movie, and rounding up to 8 movies would cause us to go past 100 dollars, the maximum movies he can watch if he wants to keep his monthly bill ≤ 100  is 7