Which expressions are equivalent to -6(b+2)+8−6(b+2)+8minus, 6, left parenthesis, b, plus, 2, right parenthesis, plus, 8 ? Choose all answers that apply: Choose all answers that apply: (Choice A) A -6b+2+8−6b+2+8minus, 6, b, plus, 2, plus, 8 (Choice B) B -6b-4−6b−4minus, 6, b, minus, 4 (Choice C) C None of the above

Answer:

y=4x

Step-by-step explanation:

Given : x represent the number of television show episodes that are taped in each seasons

To Find : write an expression for the number of episodes taped in 4 seasons

Solution:

Let number of episodes taped in 4 seasons be y

Number of the episodes taped in 1 season = x

So, number of episodes taped in 4 seasons :

y= 4x

Hence the required expression for the numder of episodes taped in 4 seasons :y= 4x

Answer:

9.6.

Step-by-step explanation:

Because DE || AC:

x/12 = 8/10

10x = 96

x = 9.6.

Option A:

Hence, x ÷ 4 > x – 12 is true for x = 20.

Solution:

To find which is the suitable inequality is true for the value x = 20.

Option A: x ÷ 4 > x – 12

⇒ [tex]\frac{x}{4}>x-12[/tex]

Multiply 4 on both sides of the inequality,

⇒ x > 4x – 48

Subtract 4x on both sides of the inequality,

⇒ –3x > – 48

⇒ 3x > 48

Divide 3 on both sides,

⇒ x > 16

If x = 20, then 20 > 16 is true.

Option B: 2x < x +22

Subtract x on both sides of the inequality,

⇒ x < 22

If x = 20, then 20 < 22 is false.

Option C: x + 30 > 3x

Subtract x on both sides of the inequality,

⇒ 30 > 2x

Divide by 2 on both sides of the inequality,

⇒ 15 > x

If x = 20, then 15 > 20 is false.

Option D: x – 5 < 2x – 35

Subtract x on both sides of the inequality,

⇒ – 5 < x – 35

Add 35 on both sides of the inequality,

⇒ 30 < x

If x = 20, then 30 < 20 is false.

Hence, x ÷ 4 > x – 12 is true for x = 20.

Answer:

  £375

Step-by-step explanation:

The tax changed from 17.5% of the car's price to 20% of the car's price, an increase of 2.5% of the car's price.

The increased tax amount is ...

  0.025 × £15000 = £375

The price of the car went up by £375 due to the increase in VAT.

Answer:

[tex]\displaystyle -11 = x[/tex]

Step-by-step explanation:

3x + 15 = x - 7

- 3x + 7 - 3x + 7

____________

[tex]\displaystyle \frac{22}{-2} = \frac{-2x}{-2} \\ \\ -11 = x[/tex]

I am joyous to assist you anytime.

Answer:the point slope form is

y + 1 = - 1/2(x - 6)

Step-by-step explanation:

The point slope form of a line is expressed as

y - y1 = m(x - x1)

Where

m represents the slope of the line.

Slope, m =change in value of y on the vertical axis / change in value of x on the horizontal axis

change in the value of y = y2 - y1

Change in value of x = x2 -x1

From the information given,

slope, m = - 1/2

y1 = - 1

x1 = 6

Therefore, the point slope eqy would be

y - - 1 = - 1/2(x - 6)

y + 1 = - 1/2(x - 6)

Answer:

y - - 1 = - 1/2(x - 6)

y + 1 = - 1/2(x - 6)

Step-by-step explanation:

The student uses Census sampling, a technique where every individual in a chosen population is surveyed. This method is reasonable for small populations, but can be impractical for larger groups.

The sampling technique used by the community college student in his statistics class is called Census sampling. This is because the student is collecting data from every individual in the total population of his statistics class. In other words, the student is not selecting a random or specific subset of the class; he is including everyone in his study. This can be useful for small populations, like a single class, as it provides data from all members, but it can be time-consuming and impractical for larger groups or populations.

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Answer:

  1.685·10^-1 inches

Step-by-step explanation:

To find the total thickness, multiply the thickness of each sheet by the number of sheets and add the values for the different kinds of sheets:

  (15)(4.3·10^-3) +(20)(5.2·10^-3) = (64.5 +104.0)·10^-3 = 168.5·10^-3

  = 1.685·10^-1 . . . inches

Answer:

the rise of the center of the rail will be given by =[tex]\sqrt{hypotenuse^{2}\hspace{0.15cm} -\hspace{0.15cm} base^{2} }[/tex]

= [tex]\sqrt{1500.065^{2} \hspace{0.15cm} -\hspace{0.15cm}1500^{2} }[/tex] m = 13.964 m

Step-by-step explanation:

i) the normal length of the railroad is 3 km = 3000 m.

ii) on a hot day day the railroad rail expands by 13cm  = 0.13m

iii) the center of the railroad is at 1500 m which is half of the total length.

iv) the expansion of the railroad in either half of the road is 0.065m which is half of the total expansion.

v) each half of the railroad can be represented by a right angled triangle whose base will be = 1500 m and hypotenuse will be = 1500.065 m .

vi) the rise of the center of the rail will be given by =[tex]\sqrt{hypotenuse^{2}\hspace{0.15cm} -\hspace{0.15cm} base^{2} }[/tex]

= [tex]\sqrt{1500.065^{2} \hspace{0.15cm} -\hspace{0.15cm}1500^{2} }[/tex] m = 13.964 m

The center of the rail would rise about 16.06 meters above the ground.

To find out how much the center of the rail rises above the ground due to expansion:

we can consider that the rail expands uniformly along its length.

If it expands by 13 cm over a length of 3 km, we can calculate the rise at the center using trigonometry, considering that the expansion causes the rail to form a very shallow arc.

The expansion forms a segment of a circle, where the rail length is the arc length, and the rise at the center is the height of the segment. We can use the formula for the height of a segment of a circle:

[tex]\[ h = r - \sqrt{r^2 - \left(\frac{l}{2}\right)^2} \][/tex]

Where:

h is the height of the segment (the rise at the center),

r  is the radius of the circle (which we can approximate as the radius of the Earth, as the rail is very long compared to its curvature),

l is the arc length of the segment (the expansion of the rail).

Given that the Earth's radius is approximately 6371 km, we need to convert all lengths to meters:

[tex]\[ r = 6371 \times 1000 \text{ meters} \][/tex]

[tex]\[ l = 3 \times 1000 \times 100 \text{ meters} \][/tex]

[tex]\[ h = 6371 \times 1000 - \sqrt{(6371 \times 1000)^2 - \left(\frac{3 \times 1000 \times 100}{2}\right)^2} \][/tex]

[tex]\[ h \approx 6371000 - \sqrt{(6371000)^2 - (150000)^2} \][/tex]

[tex]\[ h \approx 6371000 - \sqrt{40641464900000 - 22500000000} \][/tex]

[tex]\[ h \approx 6371000 - \sqrt{40641442400000} \][/tex]

[tex]\[ h \approx 6371000 - 6370983.94 \][/tex]

[tex]\[ h \approx 16.06 \text{ meters} \][/tex]

Answer:

2x^2.

Step-by-step explanation:

2x^2 / x^3y^2

= 2/xy^2

Answer:

I'm pretty sure if there's two answers you can mark them brainliest.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

p = 25 + 5s

s = amount of shoes sold

Rich sold 7 shoes. Plug in 7 for s

p = 25 + 5(7)

p = 25 + 35

p = 60

Answer: the correct answer is a. $60

Step-by-step explanation:

Using the formula that states Rich's weekly salary

P= 25 + 5s , where p is the salary and s the number of pairs sold, then

P= $25 + $5*7

P=$25 + $ 35

P= $ 60

When y = 3, the value of z is 2.

Since x is directly proportional to y and inversely proportional to z, we can write this relationship as:
[tex]x = k \frac{y}{z}[/tex]
where k is a constant of proportionality.

We are given the values x = 3, y = 6, and z = 4. Let's use these values to find k.

[tex]3 = k \frac{6}{4}[/tex]

Simplifying this, we get:

[tex]3 = k \cdot 1.5[/tex]

Solving for k:

[tex]k = \frac{3}{1.5} = 2[/tex]

Now we know the constant k. We can use it to find z when y = 3.

We know the relationship:

[tex]x = 2 \frac{y}{z}[/tex]

We need to find z when x = 3 and y = 3.

[tex]3 = 2 \frac{3}{z}[/tex]

Rearranging to solve for z:

[tex]3 = 6 \div z[/tex]

[tex]z = 2[/tex]

Answer:

Honestly, if you think about it, the answer is right in front of you!

Step-by-step explanation:

The y- intercept is 3, and the x-intercept is 1. This means that the curve should have coordinate plots of (0,3) and (1,0).

The other information is not really needed if you know the x-and-y-intercepts!

There is only 1 curve that has the included intercepts, and that is the curve on option A)'s graph.

I hope this helps and wasn't too confusing!

- sincerelynini

To find the value of b in the exponential function, we can use the given data points for the years 2010 and 2012. By substituting the values into the equations, we can solve for b.

To find the value of b in the exponential function, we can use the given data points for the years 2010 and 2012. Let's start by setting up two equations:

p(0) = ab0 = a = 425

p(2) = ab2 = 612

From the first equation, we know that a = 425. Substituting this value into the second equation:

425b2 = 612

Divide both sides of the equation by 425:

b2 = 612/425

Take the square root of both sides:

b = √(612/425)

Simplifying the expression gives us the value of b.

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Answer:

51.2

Step-by-step explanation:

To divide 2560 by 50, you can use long division. The answer is 51.

To divide 2560 by 50, you can use long division. Here's how:

Therefore, 2560 divided by 50 equals 51.

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Answer:

Step-by-step explanation:

Let x represent the number of miles with either company A or company B.

Company A charges ​$70.50 and 18 cents per mile. Converting 18 cents to dollars, it becomes

18/100 = $0.18

Total cost of x miles with company A would be

0.18x + 70.50

Company B charges $30.50 and 11 cents per mile. Converting 11 cents to dollars, it becomes

11/100 = $0.11

Total cost of x miles with company B would be

0.11x + 30.50

For the amount that company A charges more than company B, it becomes

0.18x + 70.50 - 0.11x + 30.50

0.18x - 0.11x + 70.5 - 30.5

0.07x + 40

Company A charges 0.07x + 40 more than company B

Final answer:

A person can talk for at most 19 minutes on a long-distance call without exceeding a $2 limit, accounting for the initial charge and the cost of additional minutes.

Explanation:

To find out at most how many minutes a person can talk on a phone without exceeding $2, considering the initial charge is 40 cents for the first three minutes, and 10 cents for each additional minute, we need to calculate the total cost based on the number of minutes.

The problem can be broken down as follows:

The cost for the first 3 minutes is 40 cents.

After the initial 3 minutes, each additional minute costs 10 cents.

We have a budget of $2 (or 200 cents) to not exceed.

First, subtract the initial 40 cents from the total budget:

200 cents - 40 cents = 160 cents

With 160 cents left and each additional minute costing 10 cents:

160 cents[tex]\(\div\)[/tex] 10 cents = 16 additional minutes

Therefore, adding the initial 3 minutes:

3 + 16 = 19 minutes

A person can talk for at most 19 minutes without exceeding a $2 limit.

Answer: E) 1/5

Step-by-step explanation:

The probability of any member being selected for each of the 3 posts is 1/10 that is they have equal probabilities of being selected for any of the posts.

The probability that harry would be selected for;

Secretary Ps= 1/10

Treasurer Pt = 1/10

So the probability of being selected for either secretary or treasurer is

P = Ps + Pt

P = 1/10 + 1/10

P = 2/10

P = 1/5

Note: ignore the sequence of selection

Yes, it is possible to get three different values for the same statistic when sampling from a set population due to sampling variation.

Yes, it is possible to get three different values for the same statistic when sampling from a set population.

For example, let's consider a population of students' test scores. If three different samples are taken from this population, each sample may have different scores, resulting in different values for the same statistic such as the mean.

This variability in sample statistics is due to sampling variation, which is a natural occurrence when selecting different samples from the same population.

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Answer:

So such system with fewer equations than unknowns can never have a unique solution.

Step-by-step explanation:

Linear equations are equations which contain variable with degree 1.

The variables can be 1 or 2 or any other number

say there are n varaibles

Then to solve this we must have n independent equations.

If number of equations are less than number of variables we can have parametric solutions only with infinite points lying on it.

There is no chance for this to have a unique solution.

For unique solutions, there must be equal number of equations with the variables and the determinant formed by the coefficients should not be 0.

So such system with fewer equations than unknowns can never have a unique solution.

Answer:

[tex]\displaystyle -5 = f(5)[/tex]

Step-by-step explanation:

[tex]\displaystyle -2[5] + 5 = -10 + 5 = -5[/tex]

I am joyous to assist you anytime.

Answer: -5

Explanation: In this problem, we're given the function f(x) = -2x + 5 and we are asked to find f(5).

To find f(5) or the value of the function when x = 5, we simply substitute 5 in for x in our function.

So we have f(x) = -2(5) + 5 or -10 + 5 which equals -5.

So f(5) or the value of the function when x = 5 is -5.

Answer:

The diameters of circles that could fit completely inside circle O are 25, 36, 42, 48 and 54.

Step-by-step explanation:

The actual diameter of the circle:

[tex]\pi r^{2} = 16 x \\2\pi r = x\\\\16(2\pi r)=16x\\\\32\pi r= \pi r^{2} \\\\\frac{32\pi r}{\pi r} = \frac{\pi r^{2} \\}{\pi r} \\\\r = 32[/tex]

Since the radius is equal to 32 units, the diameter is equal to 64 units.

Therefore, the diameters of circles that could fit completely inside circle O must be smaller than or equal to 64.

Answer:

J < T - 5

Step-by-step explanation:

T =  The number of juice boxes Thomas had

J =  The number of juice boxes Thomas gave to his sisters

Thomas had 12 juice boxes

T = 12

He gave some to his sisters he now has more than 5 left.

T - J > 5

-J > 5 - T

J < -5 + T

J < T - 5

To determine the number of juice boxes Thomas gave to his sisters, the inequality 12 - j > 5 is used, which simplifies to j < 7, indicating that he gave away fewer than 7 juice boxes.

To find j, the number of juice boxes Thomas gave to his sisters, we start with the total number he had initially, which is 12. We know that he gave away some juice boxes and still has more than 5 left. If we let j represent the number of juice boxes given to his sisters, then 12 - j > 5 would be the inequality that can be used to determine j.

Since Thomas has more than 5 left, but we don't know the exact number, we use the inequality to represent the situation. Therefore, if we solve the inequality, subtracting 5 from both sides, we get j < 7. This means that Thomas gave away fewer than 7 juice boxes to his sisters because he had more than 5 remaining.

Answer:

36

Step-by-step explanation:

Pretty simple

Multiply the numbers of different type of wood by the different type of length by the different type of width which is 4x3x3 = 36

4 wood type A B C D

3 length type L1 L2 L3

3 width type 1 2 3

So for wood A we have, (L1, 1) (L1,2)(L1,3)(L2,1)(L2,2)(L2,3)(L3,1)(L3,2)(L3,3)

for wood B we have, (L1, 1) (L1,2)(L1,3)(L2,1)(L2,2)(L2,3)(L3,1)(L3,2)(L3,3)

for wood C we have, (L1, 1) (L1,2)(L1,3)(L2,1)(L2,2)(L2,3)(L3,1)(L3,2)(L3,3)

for wood D we have, (L1, 1) (L1,2)(L1,3)(L2,1)(L2,2)(L2,3)(L3,1)(L3,2)(L3,3) if we count the combinations together we will arrive at 36

Answer:

2 fancy shirts and 5 plain shirts

Step-by-step explanation:

28x + 15x = 131

28(2) + 15(5) = 131

56 + 72 = 131

(there are no other equation i could find)

Answer: the number of single-crust cherry pies that was sold is 16

the number of double-crust apple pies that was sold is 20

Step-by-step explanation:

Let x represent the number of single-crust cherry pies that was sold.

Let y represent the number of double-crust apple pies that was sold.

The total number of pies sold on a busy Friday was 36. This means that

x + y = 36

Grandma's Bakery sells single-crust apple pie for $6.99 and double-crust cherry pie for $10.99. If the amount collected for all the pies that day was $331.64, it means that

6.99x + 10.99y = 331.64 - - - - - - - - -1

Substituting x = 36 - y into equation 1, it becomes

6.99(36 - y) + 10.99y = 331.64

251.64 - 6.99y + 10.99y = 331.64

- 6.99y + 10.99y = 331.64 - 251.64

4y = 80

y = 80/4 = 20

x = 36 - y = x = 36 - 20

x = 16

Answer:

Part 1) The slopes are negative reciprocals of one another.

Part 2) There is no relationship.

Step-by-step explanation:

Part 1)

we know that

If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is equal to -1)

[tex]m_1*m_2=-1[/tex]

Part 2)

The y-intercept is the value of y when the value of x is equal to zero

Two linear functions that are perpendicular, could have the same y-intercept (the y-intercept would be the point of intersection between both lines)

so

There is no relationship

Answer:

The Inequality modelling the equation is [tex]425\leq x\leq 523[/tex].

The cafeteria typically serve lunch for students between 425 to 523.

Step-by-step explanation:

Given:

Each students pays for lunch = $2.75

Cafeteria brings between $1168.75 and $1438.25.

We need to find the number of students cafeteria typically serve.

Solution:

Let the number of student served be 'x'.

Now we can say that;

Total money make is equal to Each students pays for lunch multiplied by number of students served.

But total money made is in the form of range so we can say that;

[tex]1168.75\leq 2.75x\leq 1438.25[/tex]

Now Dividing all sides by 2.75 we get;

[tex]\frac{1168.75}{2.75}\leq \frac{2.75x}{2.75}\leq \frac{1438.25}{2.75}\\\\425\leq x\leq 523[/tex]

Hence the Inequality modelling the equation is [tex]425\leq x\leq 523[/tex].

Hence we can say that, The cafeteria typically serve students between 425 to 523.