What is 9 5/6 minus 2 7/8 equal?

Answer:

363/501

Step-by-step explanation:

363+138=501.........

First, let's declare a variable

x = # of students

Now, let's create an equation to model the problem.

x * 0.273 = 125

Divide both sides by 0.273

x = 457.8 = 458 students.

Note, I rounded to the nearest whole number.

Answer:

(a) 2.81%

(b) 0.5%

Step-by-step explanation:

We have the following information from the statement:

P = 64 + - 0.9

(a) We know that the perimeter is:

P = 2 * pi * r

if we solve for r, we have to:

r = P / 2 * pi

We have that the formula of the area is:

A = pi * r ^ 2

we replace r and we are left with:

A = pi * (P / 2 * pi) ^ 2

A = (P ^ 2) / (4 * pi)

We derive with respect to P, and we are left with:

dA = 2 * P / 4 * pi * dP

We know that P = 64 and dP = 0.9, we replace:

dA = 2 * 64/4 * 3.14 * 0.9

dA = 9.17

The error would come being:

dA / A = 9.17 / (64 ^ 2/4 * 3.14) = 0.02811

In other words, the error would be 2.81%

(b) tell us that dA / A <= 0.01

we replace:

[P * dP / 2 * pi] / [P ^ 2/4 * pi] <= 0.01

solving we have:

2 * dP / P <= 0.01

dP / P <= 0.01 / 2

dP / P <= 0.005

Which means that the answer is 0.5%

Answer:

24,840,000

Step-by-step explanation:

The number in the ten thousands place is 3.  The number to the right of it is 7.  Since 7 ≥ 5, we round up the 3 to a 4.

24,837,618 ≈ 24,840,000

Answer:

98 i think

Step-by-step explanation:

my marh teacher juat said at the angle degrees to the side length

Answer:

Step-by-step explanation:

If f(x)=x²+4 then (fof⁻¹)(x)=(f⁻¹of)(x)=x is proved

A relation is a function if it has only One y-value for each x-value.

Composite functions are when the output of one function is used as the input of another.

If f(x)=x²+4

Then we have to prove f⁻¹of(x)=f⁻¹(f(x)

Let us consider fof⁻¹(x)

f(f⁻¹(x))

x

So (fof⁻¹(x))=x

Now f⁻¹of(x)=f⁻¹(f(x)

=x

Hence, If f(x)=x²+4 then (fof⁻¹)(x)=(f⁻¹of)(x)=x is proved

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a. The distance is 0.829 meters.

b. The distance is 1.86735 meters.

c. The times the child's bicycle tire must rotate to travel 1 kilometer is 26.53 times

d. The number of rotation is 12.589.

a. Given that the radius of the child's bicycle tire is 6 inches, we can substitute the values into the formula:

Circumference = 2 * π * 6 inches

To convert inches to meters, we use the conversion factor: 1 inch = 0.022 meters

Distance = 2 * π * 6 inches * 0.022 meters/inch

= 0.829 meters.

b. Similarly, for the woman's ten-speed bicycle with 13.5-inch radius:

Distance = 2 * π * 13.5 inches * 0.022 meters/inch

=  1.86735 meters.

c. To calculate how many times the child's bicycle tire must rotate to travel 1 kilometer, we need to convert 1 kilometer to inches and then divide it by the circumference of the tire.

1 kilometer = 1000 meters

1 meter = 1/0.022 inches

So, 1 kilometer = 1000 * (1/0.022) inches

Number of rotations = (1000 * (1/0.022) inches) / (2 * π * 6 inches)

=  26.53

d. Similarly, for the woman's bicycle tire:

Number of rotations = (1000 * (1/0.022) inches) / (2 * π * 13.5 inches)

=  12.589.

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Answer:

Step-by-step explanation:

1). Since, line segment AB passes through two points ((0, 0) and (3, 4)

Therefore, slope of the segment = \(\frac{y_2-y_1}{x_2-x_1}\)

                                                        = \(\frac{4-0}{3-0}\)

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

2). Relative minimum of the graph from B to C → (5, 0)

   Therefore, x-coordinate of the relative minimum → x = 5

3). From the graph attached,

   f(3) = 4

   f(4) = 1

   f(6) = 1

   f(7) = 4

   Therefore, f(3) + f(4) + f(6) + f(7) = 4 + 1 + 1 + 4

                                                          = 10

Answer:

A

Step-by-step explanation:

To solve the equation 7x-3(x-6)=30, we need to use the distributive property to simplify the left-hand side of the equation:

7x - 3(x-6) = 30

7x - 3x + 18 = 30

4x + 18 = 30

Next, we need to isolate the variable term on one side of the equation. To do this, we can subtract 18 from both sides:

4x + 18 - 18 = 30 - 18

4x = 12

Finally, we can solve for x by dividing both sides by 4:

4x/4 = 12/4

x = 3

Therefore, the solution to the equation 7x-3(x-6)=30 is x = 3. Answer A is correct.

The equation of the line j perpendicular to the given line is 2y + x = 6

Given the equation for line k expressed as y = 2x+8

Slope of the line is expressed as:

mx = 2x

m = 2

The equation of the line j perpendicular to the line will be in the form;

y-y0 = m(x-x0)

Slope of line j = -1/2

Point (x0, y0) = (0, 3)

Substitute the points and the slope into the formula

y - 3 = -1/2(x-0)

2(y - 3) = -x

2y - 6 = -x

2y + x = 6

Hence the equation of the line j perpendicular to the given line is 2y + x = 6

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The simplified form of √([2m5z6]/[xy]) is (√2m√5z√6) / (√x√y).

To simplify the expression √([2m5z6]/[xy]), we can break it down step by step:

Simplify the numerator:

√(2m5z6) = √(2) * √(m) * √(5) * √(z) * √(6)

= √2m√5z√6

Simplify the denominator:

√(xy) = √(x) * √(y)

Combine the numerator and denominator:

√([2m5z6]/[xy]) = (√2m√5z√6) / (√x√y)

Thus, the simplified form of √([2m5z6]/[xy]) is (√2m√5z√6) / (√x√y).

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Answer:

$360

Step-by-step explanation:

If the company charges $30 for $500 in one month.

The interest they will be changing for a year = 30*12 = $360 interest.

It's just simple, multipling the the interest value by 12 to get it's annual interest value.

Answer:

23370 students live with in 500 miles of the university.

Step-by-step explanation:

large university students =24000

selected students = 750

surveyed students =120 lives far away from university.

students live with in 500mile=?

750-120=630

24000-630=23370

Answer:

Given

Distributive property

Subtraction property of equality

Simplify

Subtraction property of equality

Simplify

Division property of equality

Simplify

Step-by-step explanation:

If you want an explanation I would be happy to provide you with one, but I do not want to have to explain the entire thing right here because it would be really long.

Answer:

see explanation

Step-by-step explanation:

∠ 3 and ∠ 6 are alternate interior angles and are congruent

The types of discontinuities are: removable discontinuity at x = -3 and vertical asymptotes at x = 0 and x = 3.

A. To find f(x) + g(x), we add the two functions together:

f(x) + g(x) = (x + 2)/(x^2 - 9) + 11/(x^2 + 3x)

To add these fractions, we need a common denominator. The common denominator in this case is (x^2 - 9)(x^2 + 3x). So, we rewrite the fractions with the common denominator:

f(x) + g(x) = [(x + 2)(x^2 + 3x) + 11(x^2 - 9)] / [(x^2 - 9)(x^2 + 3x)]

Simplifying the numerator:

f(x) + g(x) = (x^3 + 3x^2 + 2x^2 + 6x + 11x^2 - 99) / [(x^2 - 9)(x^2 + 3x)]

Combining like terms:

f(x) + g(x) = (x^3 + 16x^2 + 6x - 99) / [(x^2 - 9)(x^2 + 3x)]

B. To find the excluded values, we look for values of x that would make the denominators zero, as division by zero is undefined. In this case, the excluded values occur when:

(x^2 - 9) = 0  --> x = -3, 3

(x^2 + 3x) = 0 --> x = 0, -3

So, the excluded values are x = -3, 0, and 3.

C. To classify each type of discontinuity, we examine the excluded values and the behavior of the function around these points.

At x = -3, we have a removable discontinuity or hole since the denominator approaches zero but the numerator doesn't. The function can be simplified and defined at this point.

At x = 0 and x = 3, we have vertical asymptotes. The function approaches positive or negative infinity as x approaches these points, indicating a vertical asymptote.

Therefore, the types of discontinuities are: removable discontinuity at x = -3 and vertical asymptotes at x = 0 and x = 3.

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The image of the original figure after the translation and reflection is congruent to the original figure.

A particular type of transformation on the coordinate plane called translation keeps the size of the point or geometrical shape constant while only changing the position. Along the x-axis and y-axis in the coordinate system, the point or the figure can be moved in any direction, including up, down, right, left, and multiple directions.

1. By taking away 4 from the x-coordinate and adding 8 to the y-coordinate, we can translate a point 4 units left and 8 units up.

2. Point A after translation is situated at (-2, 9).

3. We negate the x-coordinate and leave the y-coordinate unaltered to indicate a point over the y-axis.

4. Point B is obtained by reflecting point A over the y-axis (2, 9).

5. Indeed, the resulting representation is consistent with the original figure since the rigid transformations of translation and reflection maintain angles and distances. As a result, the original figure's picture after translation and reflection corresponds to the original figure.

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Answer: 3.8

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

-2 ≤ x ≤ 5

Step-by-step explanation:

x is greater than or equal to -2 and less than or equal to 5

⇒ x ≥ -2 and x ≤ 5

⇒ -2 ≤ x ≤ 5

From eq(1) and (2)

Combine them

\(\\ \rm\hookrightarrow -2\leqslant x\leqslant 5\)

\(\\ \rm\hookrightarrow x\in [-2,5]\)

Answer:

The expected value for this game is -$0.75, indicating that, on average, players would expect to lose $0.75 per game.

Step-by-step explanation:

Expected Value = (Probability of Winning * Payout for Win) - Cost of Playing

In this case:

Probability of Winning = 0.05

Payout for Win = $5

Cost of Playing = $1

Expected Value = (0.05 * $5) - $1

Expected Value = $0.25 - $1

Expected Value = -$0.75

why are there two of these?
Answer:

53.9

Step-by-step explanation:

89% of all houses have garages and 48% have garages and pools. We try to find houses with a pool that have a garage. Let's assume that there are 100 houses in her neighborhood. then 89 of them have garages and 48 of them have garages and pools. 48 / 89 = about 0.5393. Conver this to percent and we get 53.9

The solutions for the quadratic equation:

x^2 - 8x = -3

Are:

Here we want to solve the quadratic equation:

x^2 - 8x = -3

First we can move all the terms to the left side so we get:

x^2 - 8x + 3 = 0

Using the quadratic formula (or Bhaskara's formula) we can get the solutions for x as:

\(x = \frac{8 \pm \sqrt{(-8)^2 - 4*¨1*3} }{2*1} \\\\x = \frac{8 \pm 7.2 }{2}\)

Then the two solutions for the quadratic equation are:

x = (8 + 7.2)/2 = 7.6

x = (8 - 7.2)/2 =0.4

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The value of the coin in 2019 would be approximately $132.

To calculate the value of the coin in 2019, we need to consider the annual increase rate of 16.9% from 2010 to 2019. We can use the compound interest formula to find the final value.

Starting with the initial value of $40 in 2010, we can calculate the value in 2019 as follows:

Value in 2019 = Initial value * (1 + Rate)^n

where Rate is the annual increase rate and n is the number of years between 2010 and 2019.

Plugging in the values:

Value in 2019 = $40 * (1 + 0.169)^9

Value in 2019 ≈ $40 * 2.996

Value in 2019 ≈ $119.84

Rounding the value to the nearest dollar, we get approximately $120. Therefore, the value of the coin in 2019 would be approximately $120.

However, please note that the exact value may vary depending on the specific compounding method and rounding conventions used.

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Answer:

Line n bisects segment XY

The length of segment XY = 6

Step-by-step explanation:

Line n is the segment bisector of segment XY

A bisector is to divide into two equal parts, so;

5x + 8 = 9x + 12

4x = -4

x = -1

Total segment = 5x + 8 + 9x + 12

plug in -1 for x;

-5 + 8 + -9 + 12

XY = 3 + 3

XY = 6

Answer:

the answer i came up with for the first question the answer is C

for the second question, i go 11.4

Step-by-step explanation:

how i got 11.4 add all like valuables

12+8=20

9x+5x=14x

then divide to get x alone to get 11.4

Answer:

See attached file.

Step-by-step explanation: