write the pair of fractions as a part of fractions with a common denominator 3/10 and 1/2

A) A 747 Airplane is 762 inches tall. 762 inches is equal to 63.5 feet, so the airplane is 63.5 feet tall.

An airplane is a type of aircraft that is heavier than air and propelled by one or more jet engines. It is used for transport across long distances, typically carrying passengers and cargo.

The river raft ride at the amusement park can hold 12 riders at a time. 527 people divided by 12 riders per ride is 44.75. This means the ride will need to run 44 times in order to get all 527 people through the ride.
One school bus can hold 46 students. There are 24 students in each of the 5 fifth grade classes. 24 students times 5 classes is 120 students, so they will need 3 buses in order to transport everyone to the zoo for a field trip.
Write and solve a word problem that requires long division AND has a remainder.
Samantha has 192 lollipops. She wants to evenly divide them into bags of 10. How many bags will she need and how many lollipops will be left over?
192 divided by 10 is 19 with a remainder of 2. Samantha will need 19 bags and will have 2 lollipops left over.

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After simplification we got the above expression in the form 3f + 16m -56

The word "simplify" implies to turn something in a simpler form.

In mathematics, simplify an expression means write an expression in such a way that is comparatively less complicated than before. The main purpose of simplify an expression is to make it easy to solve as well as calculation.

3f + 8(2m-7)

we rearrange the expression by removing the parenthesis.

we remove the parenthesis by multiplying the factors.

3f + 8 × 2m - 8 × 7

3f + 16m -56

the above expression has no like terms to add or subtract so it is kept in this form.

Hence, 3f + 16m -56 is the simpler form.

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Answer:

RA

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

Answer:

To find the mean waiting time, you need to add up all the waiting times and divide by the number of customers. In this case, the total waiting time is 6.8 + 7.5 + 7.2 = 21.5 minutes. Since there are 3 customers, the mean waiting time is 21.5 / 3 = 7.17 minutes. Rounded to one decimal place, the mean waiting time is 7.2 minutes.

Step-by-step explanation:

Answer:

9jcejjcjcudm didoid9djdkdeie9

e9ejie e9e9e

Step-by-step explanation:

neieinenienic9e

eieinceke

When x is equal to 1, the Function f(x) = -4x - 5 yields a value of -9.

The find ƒ(1) for the function f(x) = -4x - 5, we need to substitute x = 1 into the function and evaluate the expression.

Replacing x with 1, we have:

ƒ(1) = -4(1) - 5

Simplifying further:

ƒ(1) = -4 - 5

ƒ(1) = -9

Therefore, when x is equal to 1, the value of the function f(x) = -4x - 5 is ƒ(1) = -9.

Let's break down the steps taken to arrive at the solution:

1. Start with the function f(x) = -4x - 5.

2. Replace x with 1 in the function.

3. Evaluate the expression by performing the necessary operations.

4. Simplify the expression to obtain the final result.

In this case, substituting x = 1 into the function f(x) = -4x - 5 gives us ƒ(1) = -9 as the output.

It is essential to note that the notation ƒ(1) represents the value of the function ƒ(x) when x is equal to 1. It signifies evaluating the function at a specific input value, which, in this case, is 1.

Thus, when x is equal to 1, the function f(x) = -4x - 5 yields a value of -9.

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The appropriate distribution of the percentages are :

P(μ-2σ≤x≤μ) = 47.5%

P(μ-σ≤x≤μ+σ) = 68%

P(μ-2σ≤x) = 2.5%

P(μ-2σ≤x≤μ-σ) = 13.5%

For a normal distribution :

The mean, μ = 0

The mean, μ = 0The standard deviation, σ = 1

Therefore :

P(μ-2σ≤x≤μ) = P(x≤μ) - P(x≤μ-2σ)

P(x≤μ) - P(x≤μ-2σ)

P(Z ≤ μ) - P(Z ≤ 2(1))

P(Z ≤ 0) - P(Z ≤ 2)

Using the normal distribution table :

0.5 - 0.02275 = 0.47725 = 47.725% (approximately 47.5%)

P(μ-σ≤x≤μ+σ) = P(x≤μ-σ) - P(x≤μ+σ)

P(x≤μ+σ) - P(x≤μ-σ)

P(Z ≤ μ+σ) - P(Z ≤ μ-σ)

P(Z ≤ (0+1) - P(Z ≤ 0-1)

P(Z ≤ 1) - P(Z ≤ - 1)

Using the normal distribution table /

0.84134 - 0.15866 = 0.68268 = 68.268% = (approximately 68%)

P(μ-2σ≤x) = P(μ-2σ)

P(Z ≤ μ-2σ) = P(Z ≤ (0 - 2(1))

P(Z ≤ - 2) = 0.02275 = 2.275% = (approximately 2.5%)

P(μ-2σ≤x≤μ-σ) = P(x≤μ-σ) - P(x≤μ-2σ)

P(x≤μ-σ) - P(x≤μ-2σ)

P(Z ≤ μ-σ) - P(Z ≤ μ-2σ)

P(Z ≤ (0-1) - P(Z ≤ 0-2(1))

P(Z ≤ -1) - P(Z ≤ -2)

From normal distribution table :

0.15866 - 0.02275 = 0.13591 = 13.59% = approximately 13.5%

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f(x, y) = 3x + 2y + C

To know if a vector field is conservative, we have to check if it is the gradient of a scalar function.

The gradient of the function f(x, y) is given by

∇f(x, y) = (∂f/∂x, ∂f/∂y)

If a vector field F(x, y) is the gradient of a scalar function f(x, y), then the following conditions must be satisfied:

F(x, y) = ∇f(x, y)

Whether a given vector field satisfies this condition can be checked by taking the partial derivative with respect to x and y.

∂F/∂x = ∂(6x + 5y)/∂x = 6

∂F/∂y = ∂(5x + 4y)/∂y = 4

The partial derivative of a given vector field is the constant, the gradient of the scalar function. So vector fields are conservative and we can find a potential function f(x, y) such that F(x, y) = ∇f(x, y).

To find the potential function, we can integrate the partial derivative of F(x, y) with respect to x and y.

f(x, y) = ∫∂F/∂xdx + ∫∂F/∂ydy

= ∫6dx + ∫4dy

= 3x + 2y + C

where C is the constant of integration. So the potential function for a given vector field is

f(x, y) = 3x + 2y + C

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Step-by-step explanation:

For RIGHT triangles

sinΦ = opposite LEG / hypotenuse

  for this right triangle

    sin 59 = x/17

   then    17 * sin 59   =  x

                  using calculator    x = 14.6   units

Answer:

69

Step-by-step explanation:

Answer:

Distributive property

Step-by-step explanation:

Answer:

Below

Step-by-step explanation:

From 7 to 10 AM is THREE hours (if the times are all on the same day)

Answer:

answer is D

Step-by-step explanation:

y + 1 = 3(x + 1)

Answer:

0.66666666666

Step-by-step explanation:

0.66666666666

Answer:

20/30 or 2/3

Step-by-step explanation:

you must align your fractions and then multiply across. 5x4=20 and 5x6=30. 20/30 can be simplified to 2/3.

Answer:

f(x) = x³ - 4x + 6

f'(x) = 3x² - 4

a) f'(2) = 3(2²) - 4 = 12 - 4 = 8

6 = 8(2) + b

6 = 16 + b

b = -10

y = 8x - 10

b) 3x² - 4 = 0

3x² = 4, so x = ±2/√3 = ±(2/3)√3

= ±1.1547

f(-(2/3)√3) = 9.0792

f((2/3)√3) = 2.9208

c) 3x² - 4 = 8

3x² = 12

x² = 4, so x = ±2

f(-2) = (-2)³ - 4(-2) + 6 = -8 + 8 + 6 = 6

6 = -2(8) + b

6 = -16 + b

b = 22

y = 8x + 22

f(2) = 6

y = 8x - 10

The equation perpendicular to the tangent is y = -1/8x + 25/4

-The smallest slope on the curve is 2.92

The curve has the smallest slope at the point (1.15, 2.92)

The equations at tangent points are y = 8x + 16 and  y = 8x - 16

From the question, we have the following parameters that can be used in our computation:

y = x³ - 4x + 6

Differentiate

So, we have

f'(x) = 3x² - 4

The point is (2, 6)

So, we have

f'(2) = 3(2)² - 4

f'(2) = 8

The slope of the perpendicular line is

Slope = -1/8

So, we have

y = -1/8(x - 2) + 6

y = -1/8x + 25/4

We have

f'(x) = 3x² - 4

Set to 0

3x² - 4 = 0

Solve for x

x = √[4/3]

x = 1.15

So, we have

Smallest slope = (√[4/3])³ - 4(√[4/3]) + 6

Smallest slope = 2.92

So, the smallest slope is 2.92 at (1.15, 2.92)

Here, we set f'(x) to 8

3x² - 4 = 8

Solve for x

x = ±2

Calculate y at x = ±2

y = (-2)³ - 4(-2) + 6 = 6: (-2, 0)

y = (2)³ - 4(2) + 6 = 6: (2, 0)

The equations at these points are

y = 8x + 16

y = 8x - 16

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Answer:

minus it

Step-by-step explanation:

Answer:

7x - 8 = 4 + 3x

hope this helps

Answer:759

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Answer:

$37.8125

Step-by-step explanation:

$2.75 x 12.5 = 34.375

34.375 x 10% = 3.4375

$34.375 + 3.4375 = 37.8125

The area of the region is equal to the area of the septagon minus the area of the circumscribing circle. The area of the septagon = 7 x (5^2 x (1 + sqrt(3))/4). The area of the circumscribing circle = pi x (5^2/2).

The area of the region between the septagon and its circumscribing circle can be found by subtracting the area of the circumscribing circle from the area of the septagon. The side length of the septagon is 5 inches. The area of the septagon can be calculated using the formula A = 7 x (5^2 x (1 + sqrt(3))/4). This is equal to 58.82 inches squared. The area of the circumscribing circle can be calculated using the formula A = pi x (5^2/2). This is equal to 78.54 inches squared. Therefore, the area of the region between the septagon and its circumscribing circle is 58.82 inches squared minus 78.54 inches squared, which is equal to 19.72 inches squared.

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Answer:

Step-by-step explanation:

The sum of 7 and 10 is 17. So 123 / 17 = 7.235 (roughly)

7.235 x 10 (for Adriana's aunt's age) equals 72.35

And to double check: We can find adriana's age by doing. 7.235 x 7 = 50.645. If we add 50.645 and 72.35 we get 122.995 which is roughly 123 and the reason why it is not 123 on the dot is because 123 / 17 is roughly 7.235 the full expanded one is: 7.23529411765

You may try checking with the full number without estimating but i am sure of my answer

Hi!

Your answer would be: almost $5, but the actual amount is $4.67.

Reason being: when you divide $140 by 30, you get $4.67, and rounding to the nearest number, you get $5.

Therefore, the answer is $4.67

Hope this helps!

Yours truly,

The value of cos(A-B)cos(A−B) in the simplest form is 76/861

The angles having measures less than 90° is considered as an acute angle.

Given that, For positive acute angles A and B, it is known that cos A= 40/41 and sinB= 20/21.

Finding sinA and cosB,

cos²x+sin²x = 1

Therefore,

sinA = \(\sqrt{1-cos^{2}A}\)

sinA = √1-(⁴⁰/₄₁)²

sinA = 9/41

Now,

cosB = \(\sqrt{1-sin^{2}B }\)

cosB = √1-(²⁰/₂₁)²

cosB = √41/21

Using formula,

cos(A+B)cos(A−B) = (cosAcosB−sinAsinB)

cos(A+B)cos(A−B) = [40/41x√41/21]-[9/41x20/21]

= 40√41/861-180/861

= [256-180]/861

= 76/861

Hence, the value of cos(A+B)cos(A−B) is 76/861

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The probabilities and the odds are P(E) = 4/9, P(E) = 1/8 and o(E) = 1 : 7

Probability P(E)

From the question, we have the following notation that can be used in our computation:

Odds, o(E) = 4 : 5

Using the above as a guide, we have the following probability equation

P(E) = 4/(4 + 5)

Evaluate

P(E) = 4/9

Probability P(E)

Here, we have

Odds, o(E) = 7 : 4

Using the above as a guide, we have the following probability equation

P(E) = 7/(7 + 4)

Evaluate

P(E) = 7/11

Odds (E)

Here, we have

P(E) = 1/8

Using the above as a guide, we have the following probability equation

o(E) = P(E) : 1 - P(E)

So, we have

o(E) = 1/8 : 7/8

Evaluate

o(E) = 1 : 7

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Answer:

Step-by-step explanation:

x=2

so 7*2= 14

therefore the answer is 14

Answer:

x=27x

Step-by-step explanation:

x=27.x

find- x-?

x=27x