Write an expression to represent: 2 times the difference of x and 3​

Answer:

x = 4[tex]\sqrt{3}[/tex]

Step-by-step explanation:

using the cosine ratio in the right triangle and the exact value

cos30° = [tex]\frac{\sqrt{3} }{2}[/tex] , then

cos30° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{8}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex]  ( cross- multiply )

2x = 8[tex]\sqrt{3}[/tex] ( divide both sides by 2 )

x = 4[tex]\sqrt{3}[/tex] ( exact value )

Step-by-step explanation:

SOHCAHTOA

CAH-

Cosine●= adj/hyp

cos30= y/8

0.8660=y/8

Cross multiply

0.8660×8=y

y=8×0.8660

y=6.928

Step-by-step explanation:

Rearrange the terms by writing

3y = -2x + 6 ---> y = (-2/3)x + 2

The slope of this equation is m = -2/3

Answer:

[tex] m = \boxed{1} \: \: c = \boxed{4}[/tex]

Step-by-step explanation:

[tex]y = x + 4 \\ equating \: it \: with \\ y = mx + c \\ m = \boxed{1} \: \: c = \boxed{4}[/tex]

Answer:   11......................................................................................

Answer: 0.023 is twenty-three thousandths written in standard form!

Answer: 0.023

Step-by-step explanation:

Answer:

No, only 72 bikes can fit

Step-by-step explanation:

18 x 4.8 is 86.4

2 x .6 is 1.2

86.4 divided by 1.2 is 72

there for only 72 bikes can fit

Answer lol faith

Step-by-step explanation:

Answer:

43cm

Step-by-step explanation:

96-10 (5 x2 sides)=86

86/2 sides=43 longest side

The length of the longest side is 43 cm.

A rectangle is a two-dimensional shape where the length and width are different.

The area of a rectangle is given as:

Area = Length x width

We have,

Perimeter of a rectangle = 2 (length + width)

Perimeter = 96 cm

Width = 5 cm

Length = x

Now,

96 = 2 (x + 5)

48 = x + 5

x = 48 - 5

x = 43

Thus,

The longest side is 43 cm.

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Answer:

B gets 5/13 of the candy bar.

Step-by-step explanation:

Given that a candy bar is being shared between two people, A and B, and A gets 3/5 times as much as B, to determine what fraction of the bar does B get the following calculation must be performed:

3/5 = 0.6

1.6 + 1 = 100

1 = X

2.6 = 100

1 = X

100 / 2.6 = X

38.46 = X

38.46% = 0.3846 = 5/13

Therefore, B gets 5/13 of the candy bar.

Answer:

3

Step-by-step explanation:

3/7/7 which is 3/7 x 7 which is 21/7 which is 3

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Answer:

[tex] \frac{3}{5} + \frac{2}{7} = \frac{31}{35} = 0.885[/tex]

Answer:

74

Step-by-step explanation:

The value of (2/3 - 5/6) / 3/4 is -2/9.

A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.

Example: 1/2, 1/3 is a fraction.

We have,

(2/3 - 5/6) / 3/4

2/3 - 5/6

= (4 - 5)/6

= -1/6

Now,

(-1/6 )/(3/4)

= -1/6 x 4/3

= -4/18

= -2/9

Thus,

The value is -2/9.

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Answer:

The number is 12.

Step-by-step explanation:

Suppose the number is x. So,

18(3x-4)=48x

54x-72=48x

54x-48x=72

6x=72

x=12

Answer:

x=12

Step-by-step explanation:

7+5=12

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Answer:

x-intercepts exist in the 3 functions

y-intercepts exist in the 3 functions

The function  h(x) has the lowest minimum.

The function  f(x) has the greatest maximum.

Step-by-step explanation:

Given

The attached table

Solving (a): x-intercepts

A function has x intercept if its y value equals 0.

From the table, we have:

[tex]f(2)=0[/tex]

[tex]g(4) = 0[/tex]

[tex]h(2) = 0[/tex]

All functions have x intercept

Solving (b): y-intercepts

A function has y intercept if its x value equals 0.

From the table, we have:

[tex]x = 0[/tex]

This applies to all functions in the table;

Hence, all functions have y intercept

Solving (c): Lowest minimum

The minimum of each function is:

[tex]f(x) = -12[/tex]

[tex]g(x) = -4[/tex]

[tex]h(x) = -60[/tex]

The lowest minimum is: h(x) because:

[tex]h(x) <f(x) < g(x)[/tex]

i.e.

[tex]-60 < -12 < -4[/tex]

Solving (d): Greatest maximum

The maximum of each function is:

[tex]f(x) = 12[/tex]

[tex]g(x) = 2[/tex]

[tex]h(x) = 0[/tex]

The greatest maximum is: f(x) because:

[tex]f(x) > g(x) > h(x)[/tex]

i.e.

[tex]12 > 2 > 0[/tex]

Answer:

1. f(x) g(x) h(x)

2. f(x) g(x) h(x)

3. h(x)

4. f(x)

Step-by-step explanation:

I guessed and it was correct.

Answer:

11

Step-by-step explanation:

Angles 3x + 3 and 4x - 8 are adjacent angles.

Adjacent angles are equal.

4x - 8 = 3x + 3

4x - 3x = 3 + 8

x = 11

0.36d³ - 4.31d² - 2.5d - 2 = 0 is the function and the graph of the function is given below -

function is a mathematical phrase, rule, or law that establishes the connection between an independent variable and a dependent variable (the dependent variable).

y = x² is an illustration of this. Any input for x yields a single output for y. Because x represents the input value, one can state that y is a function of x.

To determine the number of days after the game's release that was played by the same number of students for the two functions S^1(d) and S^2(d).

Here, the functions each model the number of students S.

played an online video game d days.

We need to set the two functions equal to each other and solve for d.

S^1(d) = S^2(d)

or,  0.45d³ - 3d² + 4.75d + 16  = 0.09d³ - 1.31d² + 7.25d + 18

Subtracting 0.09d³ - 1.31d² + 7.25d + 18 from both sides we get:

or, 0.36d³ - 4.31d² - 2.5d - 2 = 0

So, the graph becomes:

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1. The degree form of 4π/9 is approximately 228.6°.

2. A positive coterminal angle to -123° that is between 500° and 750° is 677°. A negative coterminal angle to -123° that is between -300° and -500° is -243°.

3. The terminal side of 215° lies in the second quadrant.

4. The radius of the circle is approximately 15.7.

1. The degree form of 4π/9 is approximately 228.6°. To express an angle in degrees, we multiply its radian measure by 180°/π.

2. A positive coterminal angle to -123° that is between 500° and 750° is 677°. A negative coterminal angle to -123° that is between -300° and -500° is -243°. To find a coterminal angle, we can add or subtract 360° as many times as necessary to bring the angle into the desired range.

3.

In the standard position, an angle is measured counterclockwise from the positive x-axis. The positive x-axis corresponds to the 0° angle, the positive y-axis corresponds to the 90° angle, the negative x-axis corresponds to the 180° angle, and the negative y-axis corresponds to the 270° angle. Angles in the first quadrant are between 0° and 90°, angles in the second quadrant are between 90° and 180°, angles in the third quadrant are between 180° and 270°, and angles in the fourth quadrant are between 270° and 360°.

So, the terminal side of 215° lies in the second quadrant.

4.

We can set up the equation l = Cθ/2π and solve for r.

Substituting the given values, we have 56π = (2πr)(120°/180°), which simplifies to r = 56π/(2π) = 28.

Dividing this value by 2, we get the radius of the circle as approximately 15.7.

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The number of acorns that Frank have in the other hand will be 14.

A word problem in mathematics simply refers to a question that is written as a sentence or in some cases more than one sentence which requires an individual to use his or her mathematics knowledge to solve the real.life scenario given.

Since Ella has the same number of acorns as frank. Ella has 9 in one hand and 10 in the other hand.

When Frank has 5 on one hand, the number of acorns that Frank have in the other hand will be:

= 10 + 9 - 5

= 14

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Complete question

Ella has the same number of acorns as frank. Ella has 9 in one hand and 10 in the other hand. Frank has 5 on one hand. How many acorns does frank have in the other hand

Answer:

highest 77 and lowest is 4

Answer:

Step-by-step explanation:

Find z-score:

Get the rank from the z-table:

Answer:

They can make 2592 different burritos.

Step-by-step explanation:

In this question:

We multiply the number of options for each condiment.

1 choice of tortilla from a set of 3.

1 choice of meat from a set of 4.

1 choice of rice from a set of 2

1 choice of beans from a set of 3

1 choice of cheese from a set of 3

1 choice of salsa from a set of 4.

1 extra topping from a set of 3.

So

3*4*2*3*3*4*3 = 2592

They can make 2592 different burritos.

Answer:

Step-by-step explanation:

The 4 sides of a square are usually the same ;

Hence, each side is called the side length ; from the diagram attached :

Side length of square 4 = a + b

Side length of square 5 = a + b

If the side lengths are equal ; that is (a + b) ; the the area which is the square of the side length will also be the same.

Answer: P (T< 685) ≈ 0.31

Step-by-step explanation:

Answer:

The reflection over the x-axis

Answer:

a

Step-by-step explanation:

The bridge opening times when there are 60 minutes in an hour will be 45/60 and 10/60.

From the information, a boat will pass the Colby drawbridge and then the Wave drawbridge and then the Wave drawbridge.

From the table, Colby is on the 3/4 hour. This will be:

= 3/4 × 60

= 45

Also, Wave Bridge will be:

= 1/6 × 60

= 10

Therefore, it's 45/60 and 10/60 because we know that the common denominator is 60 then 3/4 of an hour is 45mins then 1/6 of an hour is 10.

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Complete question

On the Dell River, a boat will pass the Colby drawbridge and then the Wave drawbridge and then the Wave drawbridge. Rename each of the two drawbridge opening times. There are 60 minutes in an hour, so use 60 as a common denominator. Then, rename each opening time using another common denominator

Bridge name:

1. Asher Cross

2. Colby

3. Rainbow

4. Red Bank

5. Wave

Time of Opening:

1. On the hour

2. On the 3/4 hour

3. On the 2/3 hour

4. On the 1/4 hour

5. On the 1/6 hour