What are the three first common denominators of 7/9 and 2/3

The slope of UN is solved to be

The slope of UN is solved using the points denoting U and N and the points are

U (4, -2) and N (1, 2)

Formula for slope is

= change in y direction  / change in x direction

= (-2 - 2) / (4 - 1)

= -4 / 3

The slope of UN is -1 1/3

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A parallelogram is a straightforward quadrilateral with two sets of parallel sides in Euclidean geometry and in the given parallelogram the required value of x is 3 units.

A parallelogram is a straightforward quadrilateral with two sets of parallel sides in Euclidean geometry.

A parallelogram's facing or opposing sides are of equal length, and its opposing angles are of similar size.

In a parallelogram, the diagonals are split in half while the opposite sides are equal.

In a rhombus, all four sides are equal and the diagonals intersect at 90 degrees.

So, a parallelogram's diagonals cut each other in half.

Hence, WC = CY.

This is:

2x + 5 = 3x + 2

Take away 2x from each side:

5 = 3x - 2x + 2

5 = x + 2

Take away from both sides:

5 - 2 = x + 2 - 2

3 = x

Therefore, in the given parallelogram the required value of x is 3 units.

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Correct question:

In quadrilateral WXYZ, WC = 2x + 5 and CY = 3x + 2. What must x equal for quadrilateral WXYZ to be a parallelogram?

185 centimeter is approximately equal to 6.0696 feet

To convert 185cm to feet, we can use the following formula:

1 cm = 0.0328 feet

The conversion is the process of changing the unit of one quantity to another units  

The conversion factor is defined as the number that is used to change one unit to another units by multiplying or dividing

Therefore,

The distance in feet = conversion factor × The distance in centimeter

Substitute the values in the equation

185 cm = 185 x 0.0328

Multiply the numbers

= 6.0696 feet ( rounded to four decimal places )

Therefore, 185cm is 6.0696 feet.

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The equation of line passes through the points (0, -3) and (4, -1) will be;

⇒ y = 1/2x - 3

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

Two points on the line are (0, -3) and (4, -1)

Now,

Since, The equation of line passes through the points (0, -3) and (4, -1).

So, We need to find the slope of the line.

Hence, Slope of the line is,

m = (y₂ - y₁) / (x₂ - x₁)

m = (- 1 - (-3)) / (4 - 0)

m = 2 / 4

m = 1/2

Thus, The equation of line with slope 1/2 is,

⇒ y - (-3) = 1/2 (x - 0)

⇒ y + 3 = 1/2x

⇒ y = 1/2x - 3

Therefore, The equation of line passes through the points ((0, -3) and

(4, -1) will be;

⇒ y = 1/2x - 3

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Answer:

248 feet

Step-by-step explanation:

Since each curtain is 48 inches long, or 4 feet long, Fabrizio will need:

62 curtains × 4 feet per curtain = 248 feet of fabric

Therefore, Fabrizio's curtain company will need 248 feet of fabric to make 62 curtains.

Answer:

248 feet...

Step-by-step explanation:

Each curtain is 48 inches long, which is 4 feet (since there are 12 inches in a foot). Therefore, 62 curtains will require:

62 curtains x 4 feet per curtain = 248 feet of fabric.

So Fabrizio's curtain company will need to purchase 248 feet of fabric from the store...

The correct expression after subtraction is,

⇒ 7/8 - 3/4 = 1/8

Option C is true.

Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.

Now, We can all the expressions as,

A). 3/4 - 1/2 = 1/4

LHS;

⇒ 3/4 - 1/2

⇒ (6 - 4) / 8

⇒ 4/8

⇒ 1/2 ≠ 1/4

Hence, It is not true.

B. 9/16 - 4/8 = 5/8

LHS;

⇒ 9/16 - 4/8

⇒ (9 - 8)/16

⇒ 1/16 ≠ 5/8

Hence, It is not true.

C. 7/8 − 3/4 = 1/8

LHS;

⇒ 7/8 - 3/4

⇒ (7 - 6)/8

⇒ 1/8

Hence, It is true.

D. 7/15 − 1/3 = 6/15

LHS;

⇒ 7/15 - 1/3

⇒ (7 - 5)/15

⇒ 2/15 ≠ 6/15

Hence, It is not true.

E. 1/2 − 1/20 = 10/20

LHS;

⇒ 1/2 - 1/20

⇒ (10 - 1)/20

⇒ 9/20 ≠ 10/20

Hence, It is not true.

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The percent of total monthly net income for the monthly living expenses and fixed expenses is 60%, the monthly share of annual expenses is $3,000 and the total your three percents is 120%.

A challenge problem is a task or question that requires a significant amount of thought, analysis, and problem-solving skills to solve. It often involves complex scenarios, calculations, or decision-making processes, and may require the use of multiple skills or disciplines to arrive at a solution.

To calculate the percentage of the Penders' total monthly net income that goes towards monthly living expenses and fixed expenses, we need to know the actual amounts of their monthly living and fixed expenses, as well as their total monthly net income. Let's assume that the Penders have a total monthly net income of $5,000, and their monthly living expenses and fixed expenses add up to $3,000.

The percentage of their total monthly net income that goes towards monthly living expenses and fixed expenses can be calculated as follows:

$3,000 (monthly living expenses and fixed expenses) ÷ $5,000 (total monthly net income) x 100% = 60%

Therefore, 60% of the Penders' total monthly net income goes towards monthly living expenses and fixed expenses.

To calculate the monthly share of annual expenses, we need to know the total amount of their annual expenses. Let's assume that their annual expenses add up to $36,000. The monthly share of their annual expenses can be calculated as follows:

$36,000 (annual expenses) ÷ 12 (number of months in a year) = $3,000 (monthly share of annual expenses)

To total the three percents, we add the percentage of their total monthly net income that goes towards monthly living expenses and fixed expenses (60%) to the percentage of their monthly share of annual expenses (which is also 60%, since $3,000 is 60% of $5,000). This gives us a total of 120%.

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The cost of one taco at Terrific Tacos is $3.45. To calculate this, we can start by finding the total cost for all tacos purchased.

5 tacos purchased by Randy cost $17.25, and 7 tacos purchased by Jeff cost $24.15. This brings the total cost for all tacos to $41.40. Then, we can divide this total cost by the total number of tacos purchased (12) to get the cost of one taco:

To calculate this, it is important to remember that the total cost of both orders is the sum of Randy's cost and Jeff's cost. This is because both orders were placed at the same restaurant. Then, the total cost needs to be divided by the total number of tacos purchased by both customers. This gives the cost of one taco at Terrific Tacos.

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The values of  x and y are

Figure (a)

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

Parallel and congruent lines

This means that

5y - 8 = 2y + 1

So, we have

3y = 9

Divide

y = 3

Also, we have

1/5x + 3 = 4x - 35

So, we have

x + 15 = 20x - 175

This gives

19x = 190

x = 10

Figure (a)

Here, we have

1/3y - 6 = 66 - 2/3y

This gives

y - 18 = 198 - 2y

Evaluate

3y = 216

Divide

y = 72

For x, we have

1/4x + 5 = 1/2x - 7

So, we have

1/2x =+ 12

Evaluate

x = 24

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The single natural logarithm expression is ln(2). Therefore, correct answer is (a)

The expression in the form [tex]e^a=b[/tex] can also be written as In b = a  which is called as logarithmic expression.

Properties of Logarithms:

1. In (mn) = In m + In n

2. In [tex]a^m =[/tex] m In a

3. In [tex]e^a[/tex] = a.

The natural logarithm expression is:

4 + ln 2 - ln 4

Apply the product and quotient rule of natural logarithm:

4 + ln 2 - ln 4  = In (4 × 2/4)

Evaluate the quotient:

4 + ln 2 - ln 4  = In (2)

Hence, the single natural logarithm expression is ln(2).

The correct option is (a)

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Answer:

B: ln 4.

Step-by-step explanation:

Answer:

Add parentheses ( ) to make the equation true:

11 x 6 ÷ (8 + 3) = 6

Solve for y

4y + (16 - 7) = 25

y = 4

9 x (8 - 5)

= 27

3. {[3 x (9 + 7)] - 8}

Sorry, can't figure this one out.

5. Mable saved $10 of her lemonade stand money. She then made 7 times as much as the money she had saved. Mable's friend gave her $12. How much money does Mable now have in all?

Mable has $82 all together.

Step-by-step explanation:

You're welcome.

about 2.1134 us quarts

The difference in the means is times the ranges. (19-9)/(24-7)=10/17 = 0.588235294, or slightly more than half a time the ranges of the two samples.

Height is the measure of vertical distance, either how "tall" something or someone is, or how "high" the point is. For example, a person's height is typically measured using a stadiometer and is recorded in centimeters or feet and inches. The height of a mountain is usually measured in meters or feet. In aviation, height is measured from the surface of the earth, either above ground level (AGL) or above mean sea level (AMSL).

This means that the mean of the sun plants is more than half a time the range of the two samples larger than the mean of the shade plants.

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The missing sides of each pair of similar triangles are listed below:

Case 15: w = 5, x = 25 / 12, y = 65 / 12, z = 169 / 12

Case 16: x = 12, y = 6√3, z = 3√5

Case 17: x = 40 / 3, y = 32 / 3

Case 18: x = 5, y = 20, z = 10√3

In this problem we find four cases of pairs of similar triangles, whose missing sides can be found by means of proportion formulas and Pythagorean theorem. Now we proceed to determine the missing lengths for each length:

Case 15

w = √(13² - 12²)

w = 5

12 / w = w / x

w² = 12 · x

x = w² / 12

x = 5² / 12

x = 25 / 12

y = √[(25 / 12)² + 5²]

y = 65 / 12

z = 12 + x

z = 169 / 12

Case 16

6 / 3 = x / 6

x = 36 / 3

x = 12

y = √(x² - 6²)

y = √(12² - 6²)

y = 6√3

z = √(3² + 6²)

z = 3√5

Case 17

y / 8 = 8 / 6

y = 8² / 6

y = 64 / 6

y = 32 / 3

x = √(8² + y²)

x = √[8² + (32 / 3)²]

x = 40 / 3

Case 18

x = √[10² - (5√3)²]

x = 5

y = x + 15

y = 20

z = √[15² + (5√3)²]

z = 10√3

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Answer:

1 fluid oz = 29.5735 milliliters

Step-by-step explanation:

A unit can be used for measurement, and is commonly found in mathematics to describe length, size, etc.

Converting these units:

Therefore, for every 1 fluid ounce, it is equivalent to 29.5735 milliliters.

Answer:

v = 32

Step-by-step explanation:

-12 = -3/8v

Divided by -3/8, both sides

v = 32

Let's check

-12 = -3/8(32)

-12 = -12

So, v = 32 is the correct answer.

Answer:

Can u pls type the question in??

A cheetah could run 630 miles in 6 hours

Answer:

It can run 630 miles in 6 hours.

Step-by-step explanation:

If the cheetah can run 105 miles per hour

then,

in 6 hours, it can run 105*6 miles.

105*6= 630

Hope this helps.

The ordered pairs in f(x)=x^2-2x+3 and f(x)=-2x+19 are (√21, 24 - 2√21) and (-√21, 24 + 2√21)

To find the ordered pairs of the two functions, we need to solve the system of equations:

f(x) = x^2 - 2x + 3

f(x) = -2x + 19

We can set the two expressions for f(x) equal to each other:

x^2 - 2x + 3 = -2x + 19

Simplifying and rearranging, we get:

x^2 = 21

Taking the square root of both sides, we get:

x = ± √21

Therefore, there are two ordered pairs that satisfy both equations:

(√21, f(√21)) and (-√21, f(-√21))

To find the values of f(√21) and f(-√21), we can substitute the values of x into either equation. Let's use the first equation:

f(√21) = (√21)^2 - 2(√21) + 3 = 21 - 2√21 + 3 = 24 - 2√21

f(-√21) = (-√21)^2 - 2(-√21) + 3 = 21 + 2√21 + 3 = 24 + 2√21

Therefore, the two ordered pairs are:

(√21, 24 - 2√21) and (-√21, 24 + 2√21)

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The sum to infinity of the sequence is 96/13

Every term in a geometric sequence is obtained by multiplying the term before it by the same number. [tex]\mathrm{a_n= a_1 r^{n -1 }}[/tex] is the general term for it. The common ratio is denoted by the number r. Any term in the sequence can be used to find it by dividing it by the term before it.

Given the nth term of a geometric sequence expressed as:

Tn = Σ12(-5/8)ⁿ

The sum to infinity of the sequence is expressed as;

S∞ = a/1-r

where

a is the first term = 12

r is the common ratio = -5/8

Substitute

S∞ =  12/1-(-5/8)

S∞ = 12/1+5/8

S∞ = 12/(13/8)

S∞ =12 *8/13

S∞ = 96/13

Hence, the sum to infinity of the sequence is 96/13

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Using the given equation, The weight of a cat when it is 7 months old is 4 kilograms.

Equations describe physical processes and the relationship between different physical quantities. Equations are mathematical and physical statements. Physical quantities are presented using simple variables, and after that, a personal variable, such as your energy, may be indicated.

An equation can be defined in numerous ways. Algebraically speaking, an equation is a statement that shows the equality of two mathematical expressions. For instance, the two equations 3x + 5 and 14, which are separated by the 'equal' sign, make up the equation 3x + 5 = 14. Algebraic equations in mathematics frequently have one or more variables.

In this situation, the statement "w(7) = 4" represents that a cat that is 7 months old weighs 4 kilograms.

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The school building is 36ft tall.

The hypotenuse's square is equal to the sum of the squares of the other two sides if a triangle has a straight angle (90 degrees), according to the Pythagoras theorem. Keep in mind that BC² = AB² + AC² in the triangle ABC signifies this. Base AB, height AC, and hypotenuse BC are all used in this equation. The longest side of a right-angled triangle is its hypotenuse, it should be emphasized.

Chris is 6 feet tall and he casts a shadow that is 5 feet long

He measures that the shadow cast by the school building is 30 feet long

We can say the ratios will be same  6/h = 5/30

h =6 × 6 = 36 ft

Hence the school building is 36ft tall.

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−13w−7

Explanation:
−6w+(−8)+1+(−7w)

Add −8 and 1 to get −7.

−6w−7−7w

Combine −6w and −7w to get −13w.

−13w−7

Answer: -13w-7

-6w - 8 + 1 -7w

-6w + - 8 + 1 + -7w

Answer: x x x x x x x

Step-by-step explanation:

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The area of a rhombus with an angle measuring 30 degrees and sides measuring 9 inches, the answer will be 40.5 inches.

By using trigonometry,

Here, it is given that:

Side which is 's' is equal to 9 inches

Angle which is denoted as 'A' is equal to 30 degrees

Square of side s is equal to 9 × 9 = 81 inches

Area of rhombus, A = s² × sin (30°)

A = 81 × 1/2

A = 40.5 inches

A rhombus is a particular kind of parallelogram in geometry where two pairs of opposite sides are congruent. Accordingly, a rhombus has equal length on each side. Square and rhombus are frequently confused in students. The main distinction between a square and a rhombus is that a square has all internal angles that are right angles, whereas a rhombus does not.

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The value of  7/10 as a decimal is  0.7.

To convert 7/10 to a decimal, we need to divide the numerator (7) by the denominator (10). This can be done by long division or using a calculator.

When we divide 7 by 10, we get 0.7. Therefore, 7/10 as a decimal is 0.7.

In decimal form, 0.7 can be interpreted as 7 tenths, or 70 hundredths, or 700 thousandths, etc. It is a way of expressing a fraction as a decimal, which is a more convenient and commonly used way of writing numbers.

It's worth noting that 7/10 can also be written as a percentage, which would be 70%. This means that 7 out of 10 is equivalent to 70 out of 100, which is the same as 0.7 in decimal form.

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Answer: The fact of being correct and without any mistakes:

Step-by-step explanation: Hope this helps!

The probability of selecting three balls of the same color without replacement is 0.0545, and with replacement is 0.0393. The probability of selecting three balls of different colors without replacement is 0.4591, and with replacement is 0.4968.

(a) To select a set of 3 balls that are all of the same color, we need to choose one of the three colors (red, blue, or green), and then select 3 balls of that color from the urn. There are three ways to choose the color of the balls. For each color, the number of ways to select 3 balls of that color is given by the number of combinations of 3 balls from the set of balls of that color. Thus, the total number of ways to select a set of 3 balls that are all of the same color is:

Number of ways to select 3 red balls + number of ways to select 3 blue balls + number of ways to select 3 green balls

= (5 choose 3) + (6 choose 3) + (8 choose 3)

= 10 + 20 + 56

= 86

The total number of ways to select any set of 3 balls from the urn is given by the number of combinations of 3 balls from the set of 19 balls in the urn:

Total number of ways to select any set of 3 balls = (19 choose 3) = 969

Therefore, the probability that each of the balls will be of the same color is:

P(each ball of the same color) = (number of ways to select 3 balls of the same color) / (total number of ways to select any set of 3 balls)

= 86 / 969

= 0.089

So the probability that each of the balls will be of the same color is approximately 0.089 or 8.9%.

(b) To select a set of 3 balls that are of different colors, we need to choose one ball of each color from the urn. The number of ways to select one ball of each color is given by the product of the number of balls of each color:

Number of ways to select 1 ball of each color = 5 x 6 x 8 = 240

The total number of ways to select any set of 3 balls from the urn is still 969.

Therefore, the probability that each of the balls will be of different colors is:

P(each ball of different color) = (number of ways to select 1 ball of each color) / (total number of ways to select any set of 3 balls)

= 240 / 969

= 0.248

So the probability that each of the balls will be of different colors is approximately 0.248 or 24.8%.

When the balls are selected with replacement, the probabilities remain the same because the probabilities of selecting each ball are unchanged on each draw.

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Answer: 16 lbs.

Step-by-step explanation:

If there are 7 packages and all of the packages weigh the same, then you would divide the number of packages by the total weight of the packages.

112÷7=16. 16 would be the weight of each package individually.

So, the answer is C;16 lbs.