How do i reduce 5/12 to 5/9

Yes, Jalen is correct because the rectangle has a perimeter of 20 inches with the smaller side measuring 3 inches and the longer side of the rectangle had to be 7 inches.

In Mathematics and Geometry, the perimeter of a rectangle can be calculated by using this mathematical equation (formula);

P = 2(L + W)

Where:

By substituting the given side lengths into the formula for the perimeter of a rectangle, we have the following;

P = 2(3 + 7)

20 = 2(10)

20 = 20 (True).

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Answer:

\( \frac{23}{28} \)

Step-by-step explanation:

\( \frac{2}{3} \times \frac{3}{4} + \frac{3}{7} \times \frac{3}{4} \)

\( = > \frac{3}{4} ( \frac{2}{3} + \frac{3}{7} )\)

\( = > \frac{3}{4} \times \frac{23}{21} \)

Reducing 3 from numerator and denominator,

\( = > \frac{23}{4 \times 7} = \frac{23}{28} \)

The given function 8x^2+8x-22 rewritten using the completing the square method is (x+1/2)^2 = 3

By altering the equation's form so that the left side is a perfect square trinomial, a quadratic equation can be solved using the "Completing the Square" approach.

Given the quadratic equation below;

8x^2+8x-22 = 0

This can be simplified into the equation below;

8x^2+8x-22 = 0

4x^2+4x-11 = 0

Add 11 to both sides of the equation

4x^2+4x-11 + 11= 0 + 11

4x^2+4x = 11

Factor out 4x from the expression;

4(x^2+1) = 11

(x+1/2)^2 = 11/4 + 1/4

(x+1/2)^2 = 12/4

(x+1/2)^2 = 3

Hence the expression in the form of (x-p)^2=q is (x+1/2)^2 = 3

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You get the length and you times it by the width giving you the answer

Ending Inventory Cost and Cost of Goods Sold using different inventory methods:

FIFO Method:

Ending Inventory Cost: $11,920

Cost of Goods Sold: $15,068

LIFO Method:

Ending Inventory Cost: $11,996

Cost of Goods Sold: $15,123

Weighted Average Cost Method:

Ending Inventory Cost: $11,974

Cost of Goods Sold: $15,087

Using the FIFO (First-In, First-Out) method, the cost of the ending inventory is determined by assuming that the oldest units (those acquired first) are sold last. In this case, the cost of the ending inventory is calculated by taking the cost of the most recent purchases (70 units at $142 per unit) plus the cost of the remaining 10 units from the March 10 purchase.

This totals to $11,920. The cost of goods sold is calculated by taking the cost of the units sold (50 units from the Jan. 1 inventory at $124 per unit, 60 units from the March 10 purchase at $132 per unit, and 20 units from the August 30 purchase at $138 per unit), which totals to $15,068.

Using the LIFO (Last-In, First-Out) method, the cost of the ending inventory is determined by assuming that the most recent units (those acquired last) are sold first. In this case, the cost of the ending inventory is calculated by taking the cost of the remaining 10 units from the December 12 purchase, which amounts to $1,420, plus the cost of the 70 units from the August 30 purchase, which amounts to $10,576.

This totals to $11,996. The cost of goods sold is calculated by taking the cost of the units sold (50 units from the Jan. 1 inventory, 60 units from the March 10 purchase, and 20 units from the August 30 purchase), which totals to $15,123.

Using the Weighted Average Cost method, the cost of the ending inventory is determined by calculating the weighted average cost per unit based on all the purchases. In this case, the total cost of all the purchases is $46,360, and the total number of units is 200.

Therefore, the weighted average cost per unit is $231.80. Multiplying this by the 80 units in the physical inventory at December 31 gives a total cost of $11,974 for the ending inventory. The cost of goods sold is calculated by taking the cost of the units sold (50 units from the Jan. 1 inventory, 60 units from the March 10 purchase, and 20 units from the August 30 purchase), which totals to $15,087.

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Answer:

118.5 or 118.6

Step-by-step explanation:

just did it on paper.

Answer:

32

Step-by-step explanation:

First, subtract the membership free from the total cost:

46 - 14

= 32

To find how many visits they can make, divide this by 1:

32/1

= 32

So, the maximum number of visits a member can make is 32.

Answer:

32

Step-by-step explanation:

The width of the dog run is 20 feet.

In the given problem, the length of the dog run is given as 30 feet.

The area of the dog run is also given as 240 square feet.

Using the formula for the area of a rectangle (A = lw), we can solve for the width (w).

Rearranging the formula, we have w = A / l.

Plugging in the values, we get w = 240 / 30 = 8 feet.

Since the width is given as (30 minus x) feet, we can set up an equation:

30 - x = 8. Solving for x, we find x = 22.

Therefore, the width of the dog run is 20 feet (30 - 22 = 8).

In this problem, the length and width of the dog run are defined by the dimensions of the fence being built around it.

The area of the dog run is given as 240 square feet.

By using the formula for the area of a rectangle, we can solve for the width. We are also given that the length is 30 feet.

Setting up an equation with the given width (30 minus x) and solving for x, we find that x is equal to 22.

This means that the width of the dog run is 8 feet. The main answer to the problem is that the width of the dog run is 20 feet (30 - 22 = 8).

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We need to solve for x in the equation:

We need to apply the distributive property to remove the parenthesis:

Then we need to add the like terms:

Then, the value for x is 6.5 (decimal form) or

To check the solution:

Answer:

a = \(\frac{2b - 2cd}{d^2}\)

Step-by-step explanation:

Step 1: Write out equation

2b = 2cd + ad²

Step 2: Subtract 2cd on both sides

2b - 2cd = ad²

Step 3: Divide both sides by d²

a = \(\frac{2b - 2cd}{d^2}\)

KM, JK, PK, and MJ are shown on the diagram.

Then the correct options are B, C, D, and F.

Since, Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.

A line segment in mathematics has two different points on it that define its boundaries.

All the line segments will be

JK, JM, KM, MP, PK, and KL

The triangle KPM.

And the angle will be ∠LKJ, ∠PKM. ∠KMP. and ∠MPK.

Then the correct options are B, C, D, and F.

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Answer: m24+70

Step-by-step explanation: A. Triangle C'D'E' is a translation of triangle ... C. Sides DE and D'E' have the same length. D. Each vertex is translated 4 units to ... C. ZB and B' are congruent angles. ... She will rotate the figure 90° clockwise, 180°, and then 90° counterclockwise. ... Which angles have the same measure ... The m24 = 70° What is the m27?

Answer:

2X+3+X-6 =180

3X-3+3=180+3

3X=183

X=61

Answer:

x = 61

Step-by-step explanation:

The angles shown form a straight line

Angles that form a straight line add up to equal 180

Hence, 2x + 3 + x - 6 = 180

( note that we just created an equation that we can use to solve for x )

We now solve for x using the equation created

2x + 3 + x - 6 = 180

step 1 combine like terms

2x + x = 3x

3 - 6 = - 3

we now have 3x - 3 = 180

step 2 add 3 to each side

-3 + 3 cancels out

180 + 3 = 183

we now have 3x = 183

step 3 divide 3 from each side

3x / 3 = x

183 / 3 = 6

we're left with x = 61

The stock worth now, to the nearest cent, is $58.14.

The current worth of stock = initial price of stock+increase in the price of stocks

If you bought stock last year for a price of $66, and it has gone down 13.9% since then,

Let X be the worth of stock;

66 ×  100 = (13.5% + 100%) × X

6600 = 113.5X

X = 6600/113.5

X = 58.14458

X = $58.14

Hence, The stock worth now, to the nearest cent is $58.14.

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Answer:

A

Step-by-step explanation:

ita a bc i know its I did this before

Answer:

Discriminant = -24, no real roots.

Step-by-step explanation:

The discriminant is what's inside the square root in the quadratic formula.

The quadratic formula is:

\(\frac{-b+\sqrt{b^2-4ac} }{2a}\) and \(\frac{-b-\sqrt{b^2-4ac} }{2a}\)

a = 1

b = 2

c = 7

The question wants the discriminate, we can just focus on the square root part.

When we plug in the parts we got, it becomes:

\(\sqrt{4-4(1)(7)}\\\sqrt{4-28} \\\sqrt{-24}\)

Since the inside of the square root is negative, there are no real roots.

Hence, there is a 0.68 percent probability that the fifth driver will be the one that police officer summons over while wearing a safety belt.

The word "probability" derives from the Latin word "propitiate," which means "credibility, probability," from the noun probabilism in the 14th century (see probable). The phrase was first used in a mathematical meaning in 1718.

Part A:

The likelihood that precisely 3 drivers are buckled up can be determined using the binomial probability formula:

P(X = 3) = (5 choose 3) × (0.68)³ × (0.32)²

Where (5 choose 3) = 10 is the number of ways to choose 3 drivers out of 5.

P(X = 3) = 10 × 0.68³ × 0.32²

P(X = 3) = 0.267

Consequently, there is a 0.267 percent chance that all 3 drivers are buckled up.

Part B:

The fifth driver will be pulled by by the police officer since 4 other drivers have already been stopped. We are looking for the likelihood that the motorist is wearing a safety belt.

Since 68% of drivers are safety belt wearers, there is a 0.68 percent chance that the following motorist will be as well.

Thus, there is a 0.68 percent chance that the next vehicle the police officer pulls over is driven by a person wearing a safety belt.

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Step-by-step explanation:

2.5 km = 250000 cm

250000 cm /20000 = 12.5 cm on the map

12.5 cm ^2  x 20 0000 x 20 000   = 5 000 000 000 cm^2 = 500 000 m^2  

In this problem we are given an angle and two sides. Therefore, we should use a trigonometric function to solve for x.

Trigonometric Functions: SOH-CAH-TOA

Looking from the 23 degree angle, we have the adjacent side and the opposite side. Therefore, we should use the tangent function.

tan(23) = x / 2

x = tan(23) * 2

x = 0.8489

x = 0.8

Hope this helps!

Step-by-step explanation:

The points are follows as (0, -3), (-1, -2), (-2, -1) and (-3, 0).

The domain of a function is defined as the set of all the possible input values that are valid for the given function.

The range of a function is defined as the set of all the possible output values that are valid for the given function.

The Graph shows the line function;

When the value of x is 0, y will be -3.

When the value of x is -1, y will be -2.

When the value of x is -2, y will be -1.

When the value of x is -3, y will be 0.

The points are (0, -3), (-1, -2), (-2, -1) and (-3, 0).

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Step-by-step explanation:

Calcium chloride is an inorganic compound, a salt with the chemical formula CaCl2. It is a white colored crystalline solid at room temperature, and it is highly soluble in water. It can be created by neutralising hydrochloric acid with calcium hydroxide.

Calcium chloride is commonly encountered as a hydrated solid with generic formula CaCl2(H2O)x, where x = 0, 1, 2, 4, and 6. These compounds are mainly used for de-icing and dust control. Because the anhydrous salt is hygroscopic, it is used as a desiccant.[10]

In arithmetic, a shape is translated when it is moved up, down, left or right. The translated shapes are congruent to the original shapes because they appear to be the same size. Just one or more of their routes have been changed. No changes to the shape are made because it is simply being moved from one location to another.

By utilizing the aforementioned guidelines, we can move the provided graph to the left, right, up, or down and graph the translated graphs. The coordinates of some points on a graph can be used to translate a graph as an alternative to this. Translation f(x + k) + C for a function graph To get the new x and y coordinates of each point when the graph of the function f(x) is supplied, simply select a few key spots on the graph (where the shape is changing or turning) and proceed as follows.

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Given that the selling price of the car is $ 18,000.

The car is now selling for $1000 more than two times its original price

Let x be the original price.

Subtracting 1000 from both sides, we get

Dividing both sides by 2, we get

Hence the original price of the car is $8,500.

According to the box and whisker plot, using the percentile concept, it is found that 330 crates weigh more than 99.5 pounds.

When a measure is in the xth percentile of a data-set, it is greater than x% of the measures and lesser than (100 - x)%.

The box and whisker plot focuses on the interquartile range, hence, 99.5 pounds is the 25th percentile, which means that 75% of the crates weigh more than 99.5 pounds.

Out of 440 crates:

0.75 x 440 = 330.

Hence, 330 crates weigh more than 99.5 pounds.

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Answer:

330

Step-by-step explanation:

For simple of the other answer

The reasoning presented lacks explicit explanations and logical connections between the steps, making it difficult to fully understand the intended proof strategy.

The given proof aims to show that the Separation Axioms can be derived from the Replacement Schema using a particular construction involving a formula p(x, y). Let's analyze the proof step by step:

Define the formula p(x, y) as x = yo(x).

This formula states that for each x, y pair, x is equal to the unique object y such that y is obtained by applying the operation o to x.

Define the set F as {(x, x) (x)}.

This set F contains pairs (x, x) where x is the unique object obtained by applying the operation (x) to x.

Claim: F(X) = {y (x = X)p(x, y)} = {y: (x = X)x = y^o(x)} = {x: (3x € X)o(x)} = {x X: (x)}.

This claim asserts that F(X) is equivalent to {y (x = X)p(x, y)}, which is further equivalent to {y: (x = X)x = y^o(x)}, and so on.

The proof states that since (x, y) satisfies the functional formula VaVyVz(p(x, y)^(x, z) y = z), it follows that (x, y) is a functional formula.This step emphasizes that the formula p(x, y) satisfies certain properties that make it a functional formula, which is relevant for the subsequent deductions.

Finally, the proof concludes that the Separation Axioms follow from the Replacement Schema, based on the previous steps.

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Answer:

The slope is 1 and the y-intercept is 3

Step-by-step explanation:

Answer:

the starting intercept is "3" and the rise over run is "1"