What's the conversion factor used to convert inches to yards?
A. 36 inches in 1 yard
B. 3 inches in 1 yard
0.24 inches in 1 yard
D. 12 inches in 1 yard

Answer:

Step-by-step explanation:10 quarters is $2.50

11 nickels is $0.55

14 dimes is $1.40

159 pennies is $1.59

Add the sum of all of those ($6.04) to the money that was originally in the bank acc.

6.04+46.76=52.80

Answer:52.80

The required quadratic equation is s² - 25 = 0 and length of sides  be 5 cm.

Given that

Number of square pieces of wood = 8

Length of side of each piece = s cm

Area of 8 pieces of wood = 200 cm²

We know the equation A = s²,

Where s is the side length, determines the area of a square.

Then total area of all the pieces can be written as:

 8s² = 200

⇒ s² = 25

⇒ s² - 25 = 0

or s = 5 cm

Hence quadratic equation ⇒ s² - 25 = 0 and side = 5 cm

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Answer:

2

Step-by-step explanation:

The question askes what is k divided by m (k/m) when k is equal to 8 and m is equal to 4. So, plug the values into the original questions 8÷4.  This means that the number 8 is being split into 4 groups. When 8 is divided into 4 groups each group is left with 2. Therefore, the answer is 2.

Another way to solve this is to make a fraction. 8÷4 is the same as 8/4. If you simplify that fraction you also get 2.

Answer:

The circumference of the drive wheel is 10 feet * 3.14 = 31.4 feet.

The circumference of the vat is 18 feet * 3.14 = 56.52 feet.

The total length of belt needed to go around the drive wheel and the vat is 31.4 + 56.52 = 87.92 feet.

The measure of the angles for the similar triangles are ∠G = 105°; ∠H = 55° and ∠I = 20°

Two triangles are said to be similar if the ration of their corresponding sides are in the same proportion. Also, all their corresponding angles are congruent with each other.

From the diagram shown:

∠X + ∠Y + ∠Z = 180° (sum of angles in a triangle)

20 + 105 + ∠Z = 180

∠Z = 55°

Since triangle XYZ and triangle GHI are similar, hence:

∠X = ∠G = 105°; ∠Z = ∠H = 55° and ∠Y = ∠I = 20°

The measure of the angles are ∠G = 105°; ∠H = 55° and ∠I = 20°

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The amount of fewer euros he would receive as a result of the delay is 20 E.

The percentage loss that was caused by the delay is -4%.

Exchange rate is the rate at which one unit of a currency can buy another currency. In this question, the value of Euros appreciated by Monday. This is because $1 buys less Euros on Mondays. On the hand, dollars depreciates in value.

Amount of fewer Euros received = value of euros if it were exchanged on Friday - value of euros if it was exchanged on Monday

Value of euros if it were exchanged on Friday = 1.25 x 400 = 500 E

Value of euros if it was exchanged on Monday = 1.20 x 400 = 480 E

Difference = 500 E - 480 E = 20 E

Percentage loss = (Euros received on Monday / Euros that would have been received on Friday) - 1

Percentage loss = (480 / 500) - 1 = -0.04 = -4%

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Answer:

y = -3x + 8

Step-by-step explanation:

y = -3x + 8 is the slope-intercept form of of the line 12x + 4y = 32.

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.

given, a linear equation 12x + 4y = 32

The general formula for a slope-intercept form of a line:

y = mx+b

Where m = slope

From given equation

12x + 4y = 32

4y = -12x + 32

y = -3x + 8

The slope of the line = -3

therefore, the slope-intercept form of 12x + 4y = 32 is y = -3x + 8.

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The length of the segment PD obtained using the relationship between similar right triangles is; PD = 7.5 units

A right triangle is a triangle that has an interior angle of 90° (a right angle) and the side opposite the right angle (90°) interior angle is known as the hypotenuse side, while the other two sides of the triangle are the legs of the right triangle.

The possible drawing in the question, obtained from a similar online question, created with MS Word is attached.

The equation of the line that passes through the points A and D, y = -2·x + 6, indicates;

The coordinates of the y-intercept of the line of the equation, is; (0, 6)

The y-intercept indicates that OD = 6 units

The x-intercept coordinates of the graph of the equation, can therefore be obtained as follows; 0 = -2·x + 6

2·x = 6

x = 6/2 = 3

x = 3

The x-intercept is; (0, 3)

The x-intercept indicates that OA = 3 units

The length of the side of the square, s, is therefore;

s = √(s²) = √(6² + 3²) = 3·√5

OA = The length of the x-intercept of ; y = -2·x + 6

The ∠DAO ≅ ∠OPA, and m∠DOA = m∠POA = 90°

Therefore;

∠DOA  ≅ ∠POA

ΔOPA is similar to ΔOAD, by Angle-Angle similarity postulate

The ratio of corresponding sides of similar triangles indicates;

OP/OA = OA/OD

Therefore;

OP/OA = OA/OD

OP/3 = 3/6

OP = 3 × 3/6 = 1.5

PD = OP + OD (Segment addition postulate)

PD = 1.5 + 6 = 7.5

Please find attached the possible drawing in the question, created with MS Word, obtained from a similar question posted online.

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The area of the sidewalk is 388 square feet.

To find the area of the sidewalk you can find the area of each individual shape and add them together.

Area of the first triangle T = (1/2) x 6 ft x 11 ft = 33 sq. ft.

Area of the second triangle = (1/2) x 6 ft x 18 ft = 54 sq. ft.

Area of the rectangle = 6 ft x 30 ft = 180 sq. ft.

Area of the square = 11 ft x 11 ft = 121 sq. ft.

Therefore, the total area of the sidewalk is:

33 sq. ft. + 54 sq. ft. + 180 sq. ft. + 121 sq. ft. = 388 sq. ft.

So, the area of the sidewalk is 388 square feet.

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Answer:

i don`t understand you

Step-by-step explanation:

but i think i phone...?

Answer:

ummm there is no other context did you mean to post a picture? All I could find was this

The Apple User Group Connection (AUGC) was established in 1985 by Apple and led by Apple employee Ellen Petry Leanse.

Four triangles can create a set of pattern blocks that includes a total of four rhombuses.

To understand why, it's essential first to understand what pattern blocks are. Pattern blocks are shapes that are commonly used in early childhood education to teach math concepts like geometry, spatial reasoning, and fractions. They come in different shapes, including triangles, squares, hexagons, trapezoids, and rhombuses.

To create a set of pattern blocks using triangles, one can use four equilateral triangles with the same side length. When these triangles are arranged together, they form a larger equilateral triangle, as each external side of each small triangle connects to a side of another triangle. This larger equilateral triangle can then be divided into four smaller rhombuses by using two diagonals (lines connecting opposite corners) to form a "X" shape. Each of these four smaller rhombuses is made up of two adjacent triangles and forms a diamond shape. Therefore, it can be said that four equilateral triangles can form a set of four rhombuses within an equilateral triangle pattern block set.

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Answer:

b,a,c

Step-by-step explanation:

The value of x is 33.2

Similar triangles are triangles that have the same shape, but their sizes may vary. The corresponding angles of similar triangles are congruent or equal.

Also the ratio of corresponding sides of similar triangles are equal.

Therefore;

Triangle EHG and EFG are similar

39/36 = 36/x

36 × 36 = 39x

39x = 1296

divide both sides by 39

x = 1296/39

x = 33.2

Therefore the value of x is 33.2

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A graph of the exponential function \(f(n)=37000(1.06)^n\) is shown in the image attached below.

In Mathematics and Geometry, an exponential function can be modeled by using this mathematical equation:

\(f(x)=a(b)^x\)

Where:

Based on the information provided above, your salary can be modeled or represented by the following exponential function;

\(f(n)=37000(1.06)^n\)

Lastly, we would use an online graphing calculator to plot the given exponential function as shown in the graph attached below.

In conclusion, the rate of change of this exponential function is equal to 1.06.

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The weight of the 0.8-meter piece is 19.6 kilograms.

We can use the ratio of length to weight to determine the weight of the 0.8-meter piece.

Let's call the weight of the 2.8-meter piece "W₁" and the weight of the 0.8-meter piece "W₂". Then we have:

W₁/2.8m = 24.5kg/1m

Solving for W₁, we get:

W₁ = (24.5kg/1m) x 2.8m = 68.6kg

Now we can use the same ratio to find W₂:

W₂/0.8m = 24.5kg/1m

Solving for W₂, we get:

W₂ = (24.5kg/1m) x 0.8m = 19.6kg

Therefore, the weight of the 0.8-meter piece is 19.6 kilograms.

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Probability that exactly 10 flights arrive on time is 53.33%.

Given that,

The rates of on-time flights for commercial jets are continuously tracked by the U.S. Department of Transportation.

Recently, Southwest Air had the best rate with 80% of its flights arriving on time.

Total number flights in sample = 15

Probability that exactly 10 flights arrive on time is,

P = 10/15 × 80%

  = 0.5333

  = 53.33%

Hence the required probability is 53.33%.

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The distance traveled by train would be 300 miles.

What is the relation between speed, distance, and time?

You can use the equivalent formula d = rt which means distance equals rate times time. To solve for speed or rate use the formula for speed, s = d/t which means speed equals distance divided by time. To solve for time use the formula for time, t = d/s which means time equals distance divided by speed.

A train travels for 3.75 hours at 80 miles per hour.

The distance traveled = speed * time

                                     = 3.75 * 80

                                     = 300 miles.

Hence, the distance traveled by train would be 300 miles.

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The true statement is "the line that can be drawn through points D and E is contained in plane Y".

option B is the correct answer

The points x and y and points C,D,E and f are shown in the figure, the true statement is determined as follows;

We know that, if two points lie in a plane, then the line drawn through the points will contained in the same plane.

The points C lies outside the plane Y and the point D lies on the plane Y, so the line drawn through the points C and D will not contained in plane Y.

So, option (A) is NOT correct.

The points D and E, both lie in the plane Y, so the line drawn through the points D and E will also contained in plane Y.

So, option (B) is CORRECT.

Since the plane X contain infinitely many points, so F is not the only point that can lie in plane X.

So, option (C) is NOT correct.

Similarly, there are infinitely many points in the plane Y, so the points D and E are not the only points that can lie in plane Y.

So, option (D) is NOT correct.  

Thus, the correct option is;

The line that can be drawn through points D and E is contained in plane Y.

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The complete question is below:

Points x and y and points C,D,E and f are shown what is true about points

(A) The line that can be drawn through points C and D is contained in plane Y.

(B) The line that can be drawn through points D and E is contained in plane Y.

(C) The only point that can lie in plane X is point F.

(D) The only points that can lie in plane Y are points D and E

The perimeter of a triangle is the sum of the lengths of its three sides.

Triangle is a three-sided geometric shape which has three angles and three sides. The three sides of a triangle are typically referred to as the base, the height, and the hypotenuse. A triangle can be classified as either right, obtuse, or acute depending on the measure of its angles. Right triangles have one right angle, obtuse triangles have one obtuse angle, and acute triangles have three acute angles.

In the case of triangle HGI, the perimeter is calculated by adding the three side lengths together. For example, if the three sides are labeled a, b, and c, the perimeter would be calculated as a + b + c.

The perimeter of triangle HGI can be calculated by knowing the lengths of its three sides. If the lengths of the three sides are 7, 8, and 9 units respectively, the perimeter of triangle HGI is 7 + 8 + 9 = 24 units.

The perimeter of triangle HGI can also be calculated using the Pythagorean Theorem if the lengths of two sides and the measure of the included angle are known. The Pythagorean Theorem states that in a right triangle, the sum of the squares of the two shorter sides is equal to the square of the longest side. Using this theorem, the lengths of the other two sides can be calculated if the length of one side and the measure of the included angle is known.

In summary, the perimeter of triangle HGI can be calculated by adding the lengths of its three sides or by using the Pythagorean Theorem if the lengths of two sides and the measure of the included angle are known.

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However, I can still give you some general steps to solve a math problem in 200 words.

Step 1: Read the problem thoroughly and understand what it's asking you to find. This may involve identifying the given information and what you need to find. Also, identify any constraints on the problem, like time or cost.

Step 2: Plan how to solve the problem. Think about what mathematical operations or formulas you can use to find the answer. Make a list of the steps you need to take to solve the problem. Also, determine the units for your answer.

Step 3: Solve the problem. Use the mathematical operations or formulas you've identified in step 2 to find the answer. Show all of your work, including any calculations, so that you can easily check your work later.

Step 4: Check your answer. Make sure that your answer makes sense and that it satisfies any constraints given in the problem. Also, check that your units are correct. If your answer doesn't make sense, go back and review your work to see if you made an error.

Step 5: Reflect on what you've learned. Think about what you did well and what you could improve upon in future problem-solving situations. This will help you become a more effective problem solver in the future.

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Answer:

Step-by-step explanation:

Target income = at least $70 daily  

So the system as per above parameters:

Correct option is D

Answer:

\(\frac{2A}{b} = h\)

Step-by-step explanation:

We start with the equation \(A = \frac{1}{2} bh\). First, we multiply both sides by \(2\).

\(2A = bh\)

Next, we divide both sides by \(b\) to get our answer:

\(\frac{2A}{b} = h\)

The value of the functions at f(-4) = 21 and f(0) = 13.

To evaluate f(x)=-2x+13 for f(-4) and f(0), we need to substitute the values into the equation and solve:

f(-4) = -2(-4) + 13 = 8 + 13 = 21

f(0) = -2(0) + 13 = 13

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Note that

• \(\sqrt{4x}\) is defined as long as \(x\ge0\)

• \(\log_2(x)\) is defined as long as \(x>0\)

• \(\log_2(\log_2(x))\) is defined as long as

\(\log_2(x) > 0 \implies 2^{\log_2(x)} > 2^0 \implies x > 1\)

so that overall, any solution to this equation must be larger than 1.

In the equation itself, introduce powers of 2 and squares to eliminate the logarithms and square root. Solve for \(x\).

\(\log_2\left(\log_2\left(\sqrt{4x}\right)\right) = 1\)

\(2^{\log_2\left(\log_2\left(\sqrt{4x}\right)\right)} = 2^1\)

\(\log_2\left(\sqrt{4x}\right) = 2\)

\(2^{\log_2\left(\sqrt{4x}\right)} = 2^2\)

\(\sqrt{4x} = 4\)

\(\left(\sqrt{4x}\right)^2 = 4^2\)

\(4x = 16\)

\(\boxed{x = 4}\)

Answer:

4005

Step-by-step explanation:

3,998 - (-7) = ?

Two negative signs will make a positive sign.

3,998 - (-7) = 3998 + 7 = 4005

So, the answer is 4005

Answer:

Hey the answer is 20%.

Step-by-step explanation:

You multiply the $90 with 20%,

but in order to figure that out you need to:

Calculate the savings: 20% of $90 = $18.

Subtract the savings from the original price to get the sale price: $90 - $18 = $72. You're all set!

Both g(x) = 5 - x² and h(x) = \(5 - e^(6-^x^)\)have the same range as f(x) = -2√(x) - 3 + 8, which is (-∞, 5].

To determine which function has the same range as f(x) = -2√(x) - 3 + 8, we need to first find the range of f(x).

The square root function √(x) takes non-negative values as input and gives non-negative outputs, so the expression -2√(x) will always be non-positive. Therefore, the range of f(x) will be all real numbers less than or equal to -3 + 8, which is 5.

In other words, the range of f(x) is (-∞, 5].

So, we need to find a function whose range is also (-∞, 5]. One possible function is g(x) = 5 - x². We can see that when x is zero, g(x) is at its maximum value of 5, and as we increase or decrease x, g(x) will decrease, eventually approaching negative infinity.

Another possible function is h(x) = 5 - e^(-x). When x is negative infinity, e^(-x) is approaching positive infinity, so h(x) is approaching 0. As we increase x, e^(-x) is approaching zero, so h(x) is approaching 5.

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Margin did the successful candidate win is 5375 - 4300 = 1075.

Given:

In an election for a corporation seat, there were two candidates. A total of 9,791 votes were polled.

116 votes were declared invalid. The successful candidate got 5 votes for every 4 votes his opponent had.

Number of valid votes = 9791 - 116 = 9675.

Let the number of votes of successful candidate = 5x

Let the number of votes of opponent = 4x

5x + 4x = 9675

9x = 9675

divide by 9 on both sides

x = 9675/9

x = 1075

Hence the votes for successful candidate = 5*1075 = 5375.

votes for opponent = 4*1075 = 4300.

Margin by which the successful candidate wins = 5375 - 4300 = 1075.

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