how many 1/8 pieces are in 4 3/8

Levy is painting a miniature model of a World War II tank. His figure uses a 1:72 scale and is 22.5 cm long. The actual tank is 1620 cm long.

To determine the length of the actual tank, we need to scale up the length of the miniature model using the given scale of 1:72.

Let's denote the length of the actual tank as "x".

According to the scale, 1 cm on the miniature model represents 72 cm on the actual tank.

So, we can set up the following proportion:

1 cm (miniature model) / 72 cm (actual tank) = 22.5 cm (miniature model) / x cm (actual tank)

Cross-multiplying and solving for x, we get:

x = (72 cm * 22.5 cm) / 1 cmx = 1620 cm

The actual tank is 1620 cm long.

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Answer:

Step-by-step explanation:

There is no bird on the spinner. therefore the answer is impossible because there is no bird.

Answer:

Impossible - There's no bird on the wheel.

Step-by-step explanation:

Answer:

Step-by-step explanation:

No 10% of condition are not met :)

The solution to the given inequality expression is expressed as x ≥ 6

Given the inequality expression shown below;

5x-9/7≥3

Cross multiply

(5x -9)≥7(3)

Expand

5x-9≥21

Add 9 to both sides

5x ≥ 21 + 9

5x ≥ 30

x ≥6

The solution to the given inequality expression is expressed as x ≥ 6

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Answer:

100 cg

Step-by-step explanation:

Answer:

100 centigrams

Step-by-step explanation:

Answer:

z=12

Step-by-step explanation:

z+15=27

move constant

z=27-15

z=12

Answer:

Friday needs 11 bikes

Step-by-step explanation:

Mean = (summation of all the numbers)/the total number of the given data

(summation of all the numbers)

= 3.5+5.5+0+5+x

(summation of all the numbers)

= 14+x

the total number of the given data

=5

Mean= 5

Mean= (summation of all the numbers)/the total number of the given data

5= (14+x)/5

25= 14+x

25-14=x

11= x

Answer:

Nos puedes ensenar las paginas

ola no ay páginas ?

bueno gracias por los puntos ✨

\(\huge \rm༆ Answer ༄\)

Here's the solution ~

\({ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \: \dfrac{d}{dx} (2 {x}^{2} - 4x + 1)\)

\({ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \: \dfrac{d}{dx} (2 {x}^{2}) - \dfrac{d}{dx} ( 4x )+ \dfrac{d}{dx} (1)\)

\({ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \: (2 \times 2x {}^{2 - 1} { }^{}) - ( 1 \times 4x ^ {1 - 1})+ (0)\)

\({ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \: (2 \times 2x {}^{} { }^{}) - ( 1 \times 4 ^ {})+ 0\)

\({ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \:4x - 4\)

Answer:

\( \sf = > \frac{d}{dx} ( {2x}^{2} - 4x + 1)\)

\( \sf = > \frac{d}{dx} ( {2x}^{2} ) +\frac{d}{dx} ( - 4x) + \frac{d}{dx} (1)\)

\( \sf = > 2\frac{d}{dx} ( {x}^{2} ) + \frac{d}{dx} ( - 4x) + \frac{d}{dx} (1)\)

\( \sf= > 2(2x) + \frac{d}{dx} ( - 4x) + \frac{d}{dx} (1)\)

\( \sf \: = > 4x + \frac{d}{dx} ( - 4x) + \frac{d}{dx} (1)\)

\( \sf \: = > 4x - 4\frac{d}{dx} (x) + \frac{d}{dx} (1)\)

\( \sf = > 4x - 4 \times 1 + \frac{d}{dx} (1)\)

\( \sf \: = > 4x - 4 + 0\)

\( \sf = > 4x - 4\)

The surface area of the wooden structure is approximately 1012 cm².

To calculate the surface area of the wooden structure, we need to find the surface area of the cone and the surface area of the hemispherical base, and then add them together.

Surface Area of the Cone:

The surface area of a cone is given by the formula:

A_{cone = \(\pi \times r_{cone} \times (r_{cone} + s_{cone})\), \(r_{cone\) is the radius of the base of the cone and \(s_{cone\) is the slant height of the cone.

The vertical height of the cone is 24 cm, and the base radius is 7 cm, we can calculate the slant height using the Pythagorean theorem:

\(s_{cone\) = \(\sqrt{(r_{cone}^2 + h_{cone}^2).\)

Using the given measurements:

\(s_{cone\) = √(7² + 24²) cm

\(s_{cone\) ≈ √(49 + 576) cm

\(s_{cone\) ≈ √625 cm

\(s_{cone\) ≈ 25 cm

Now, we can calculate the surface area of the cone:

\(A_{cone\) = π × 7 cm × (7 cm + 25 cm)

\(A_{cone\) = (22/7) × 7 cm × 32 cm

\(A_{cone\) = 704 cm²

Surface Area of the Hemispherical Base:

The surface area of a hemisphere is given by the formula:

\(A_{hemisphere\) = \(2 \times \pi \times r_{base}^2\), \(r_{base\) is the radius of the base of the hemisphere.

Given that the base radius is 7 cm, we can calculate the surface area of the hemispherical base:

\(A_{hemisphere\) = 2 × (22/7) × (7 cm)²

\(A_{hemisphere\) = (22/7) × 2 × 49 cm²

\(A_{hemisphere\) = 308 cm²

Total Surface Area:

To calculate the total surface area, we add the surface area of the cone and the surface area of the hemispherical base:

Total Surface Area = \(A_{cone} + A_{hemisphere}\)

Total Surface Area = 704 cm² + 308 cm²

Total Surface Area = 1012 cm²

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Answer:

Therefore, the angle ∠CDA is 58°.

Step-by-step explanation:

∠CDA = 58°

In the given figure, let's consider the angle ∠CDA as x.

Since AB is the diameter of the circle, we know that the angle subtended by any diameter at any point on the circumference is always 90°. Therefore, ∠CAB = 90°.

In triangle CAD, the sum of angles is 180°. So, we have:

∠CAD + ∠CDA + ∠CAB = 180°

Substituting the known values:

32° + x + 90° = 180°

Combining like terms:

x + 122° = 180°

Subtracting 122° from both sides:

x = 180° - 122°

x = 58°

There are \(150\) families in the sample.

Mean of the data \(= 33\) hours.

Median of the data \(= 29.2\) hours.

\(24\) families in the sample turned on the television for \(18\) hours or less for the week.

The \(16\)th percentile of the data is \(18\) hours.

Let \(x\) be the number of families in the sample.

So, size of the sample :

\(\frac{16}{100} \times x = 24\)

\(x=\frac{24 \times 100}{16}\)

\(x=150\)

So, there are \(150\) families in the sample.

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Answer:

\(x^{2} -2x-4=0\)

Solving Steps

Use the quadratic formula

\(x=\frac{-(-2)(+/-)\sqrt{(-2)^2-4*1*(-4)} }{2*1}\)

Multiply / Remove the parentheses / Evaluate

\(x=\frac{2(+/-)\sqrt{4+16} }{2}\)

Calculate

\(x=\frac{2(+/-)\sqrt{20} }{2}\)

Separate the solutions

\(x=\frac{2(+/-)2\sqrt{5} }{2} \\x=\frac{2-2\sqrt{5} }2}\)

Simplify

\(x=1+\sqrt{5} \\x=1-\sqrt{5}\)

The following matches a quadrilateral with the listed characteristics below is square. Option C is the correct answer.

A square is a quadrilateral with the following characteristics:

A rectangle also has the first two characteristics, but it does not necessarily have the third characteristic. A trapezoid does not have any of the three characteristics. A parallelogram has the third characteristic, but it does not necessarily have the first two characteristics.

Therefore, the only quadrilateral that matches all three characteristics is a square.

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The sequence that represents the number of customers is arithmetic, and the recursive formula is \(T_n = T_{n-1} + 8\)

The number of customers on the first day is represented as:

\(T_1 = 3\)

The number of customers on the second day is represented as:

\(T_2 = 11\)

The number of customers on the third day is represented as:

\(T_3 = 19\)

So, we have:

\(T_1 = 3\)

\(T_2 = 11\)

\(T_3 = 19\)

Rewrite the above sequence as:

\(T_1 = 3\)

\(T_2 =3 + 8\)

\(T_3 =11 + 8\)

So, we have:

\(T_1 = 3\)

\(T_2 = T_1 + 8\)

\(T_3 = T_2 + 8\)

Express 2 as 3 - 1

\(T_3 = T_{3-1} + 8\)

Substitute n for 3

\(T_n = T_{n-1} + 8\)

Hence, the sequence represents an arithmetic pattern, and the recursive formula is \(T_n = T_{n-1} + 8\)

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A line segment that measures 92 millimeters in length can be drawn using scale.

Given that,

A line segment has to be drawn which has a measure of length 92 millimeters.

We know that,

10 millimeters = 1 centimeter

1 millimeter = 1/10 centimeters

92 millimeters = 92/10 = 9.2 centimeters

So it is enough to draw a line segment of length 9.2 centimeters.

In the scale, between a centimeter, there are 9 small lines which indicates the millimeters.

In between 9 and 10, there are 9 lines which indicates, 9.1, 9.2, 9.3, ....., 9.9 and after that is 10 cm.

So draw a line segment starting from 0 to 9.2.

Hence the line segment is drawn with scale.

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y values: 3,4,5,6

x values: 5,10,15,20

Step-by-step explanation:

I used a graphing calculator but y is increasing by one and x increases by 5 each time

Answer:

See below.

Step-by-step explanation:

A's number is x. B's number is y.

x = 5y - 10

First row: What is x when y= 3?

                             x = 5y - 10 = 5*3 - 10 = 15 - 10 = 5; x = 5

Second row: What is x when y = 4?

                             x = 5y - 10 = 5*4 - 10 = 20 - 10 = 10; x = 10

Third row:      What is y when x = 15?

                             x = 5y - 10

  Add 10 both sides     x + 10 = 5y - 10 +10

                                      x + 10 = 5y

But we're told x = 15, so   15 + 10 = 5y

                                             25 = 5y

Divide both sides by 5         25/5 = 5y/5

                                                  5 = y                      y = 5

Fourth row: What is x when y = 6?

                                        x = 5y - 10 = 5*6 - 10 = 30 - 10 = 20; x = 20

Answer:

Road:

Distance to Greg's house = 3.2 + 1.7 =

4.9 miles

Time to get to Greg's house =

(4.9 mi)/(15 mi/hr) = about .327 hours = about 19.6 minutes (19 minutes, 36 seconds)

Shortcut:

Distance to Greg's house:

\( \sqrt{ {3.2}^{2} + {1.7}^{2} } = 3.6235 \)

Time to get to Greg's house:

(3.6235 mi)/(15 mi/hr) = about .242 hours = about 14.49 minutes (14 minutes, 30 seconds)

The shortcut is about 4.9 - 3.6235 = 1.28 miles faster (about 5.11 minutes, or 5 minutes, 6 seconds faster)

he two numbers that multiply to -35 and add to get -18 are -5 and 3.

To see why, you can use the factoring method. First, find two numbers that multiply to give you -35. The factors of -35 are -1, 1, -5, and 5. So, the two numbers that multiply to -35 are either -5 and 7 or 5 and -7.

Next, find which pair of numbers adds up to -18. It's clear that 5 and -7 add up to -2, so they don't work. However, if we choose -5 and 3, we get:

-5 + 3 = -2

So, -5 and 3 are the two numbers that multiply to -35 and add to -18.

The ordered pair represents the location of the corresponding point on quadrilateral M'A'T'H is ((8/5)x, (8/5)y) for the given dilation.

Given that the scale factor is 8/5.

Since as we know that dilation is a process for creating similar figures by changing the dimensions.

To dilate the quadrilateral by a scale factor of 8/5, we need to multiply each vertex by 8/5.

The center of dilation is the origin, so we can simply multiply each vertex by 8/5 to get the corresponding point on M'A'T'H.

(x, y) → (x',y'): ((8/5)x, (8/5)y)

Therefore, the ordered pair ((8/5)x, (8/5)y) represents the location of the corresponding point.

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Answer:

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

\(\frac{RW}{24}=\frac{30}{18} \\ \\ RW=40\)

Answer:

The Rate of return would then be 192 / 273 ≈ 70.32%

The steps peter could use in solving the quadratic equation is by applying the quadratic formula; x = –1 Plus or minus StartRoot StartFraction 5 Over 8 EndFraction EndRoot

8x² + 16x + 3 = 0

using Quadratic formula

The following steps are involved

\(x = \frac{ -b \pm \sqrt{b^2 - 4ac}}{ 2a }\)

\(x = \frac{ -16 \pm \sqrt{16^2 - 4(8)(3)}}{ 2(8) }\)

\(x = \frac{ -16 \pm \sqrt{256 - 96}}{ 16 }\)

\(x = \frac{ -16 \pm \sqrt{160}}{ 16 }\)

\(x = \frac{ -16 \pm 4\sqrt{10}\, }{ 16 }\)

\(x = \frac{ -16 }{ 16 } \pm \frac{4\sqrt{10}\, }{ 16 }\)

\(x = -1 \pm \frac{ \sqrt{10}\, }{ 4 }\)

\(x = -1 \pm \frac{ \sqrt{5}\, }{ 2 }\)

\(x = -0.209431\)

or

\(x = -1.79057\)

Therefore, the steps peter could follow will give the result

\(x = -1 \pm \frac{ \sqrt{5}\, }{ 2 }\)

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Answer:

61 Degree Angle

Step-by-step explanation:

Supplementary angles are two angles that add up to 180 degrees. So in this case, 119 + 61 = 180.

Answer: 5x= 25

Step-by-step explanation:

Answer:  The correct answer is A. 5x = 25

Step-by-step explanation:

Add the equations:

2x - 3y = -1

3x + 3y = 26

Add the like terms:

2x + 3x = 5x

3y + -3y = 0

26 + -1 = 25

The resulting equation:

5x = 25

Answer:

\(21.7 x 10^5\)

Step-by-step explanation:

(6.2 x 10²) x (3.5 x 10³)

First, multiply the coefficients: 6.2 x 3.5 = 21.7.

Then, add the exponents: 10² x 10³ = 10^(2+3) = 10^5.

Therefore, the result is 21.7 x 10^5.

Answer:

3286000

Step-by-step explanation:

Answer: Half of them are even and half of them are odd.

Step-by-step explanation:

The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.

The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.

Therefore, out of the given numbers, half of them are even and half of them are odd.

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