add. express your answer in simplest form. 1/12 + 5/12

Answer:

12

Step-by-step explanation:

127491733816383827i 9273

= 17.50 or 25%

The volume of the rectangular piece with sides of lengths of 7.08 × 10–3 m, 2.18 × 10–2 m, and 4.51 × 10–3m is 6. 96 × 10^ -7 m

Volume is defined as the amount of space or capacity occupied by a three-dimensional shape.

It is represented in cubic units.

Formula:

Volume, V = length × breadth × height

Given the values;

7. 08 × 10 ^-3m , 2.18 × 10^ -2m and 4. 51 × 10^-3m

Multiply all the lengths

Volume = 7. 08 × 10 ^-3 × 2.18 × 10^ -2 × 4. 51 × 10^-3

= 69.6 × 10^-8

= 6. 96 × 10^ -7 m

Therefore, the volume of the rectangular piece is 6. 96 × 10^ -7 m

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Answer:

A

Step-by-step explanation:

trust

Answer:

122.5 degrees

Step-by-step explanation:

A six sided polygon's interior angles sum to

  (n-2)(180) =  (6-2) (180) = 720 degrees

then   x + x + x +     x+10    + 130   + 90 = 720

                          4x = 490        so x = 122.5 degrees

Answer:

(2x-11)(2x+11)

Step-by-step explanation:

2x-11 × 2x+11 yields

4x^2 + 22x -22x +121

22x subtracts itself and final result is

4x^2 -121

The material wasted is 7915.375 sq cm.

The product of its length and breadth.

Area = length* breadth

Given:

length= 150 ac, breadth = 100 cm

d= 0.9m 5cm

r= 47.5 cm

Area of rectangle,

= l * b

= 150*100

= 15000 sq. cm

Area of Circular cloth,

= πr²

=3.14*47.5*47.5

=7084.625 sq cm.

Hence, the wasted material is = 15000-7084.625

                                                  = 7915.375 sq cm

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Answer:

Step-by-step explanation:

let r be the radius of the circle.

→ We know that in circle , the length of an arc

and the corresponding central angle are proportional.

180 corresponds to πr

120 corresponds to 10π

Then

[tex]\frac{\uppi r}{180} =\frac{10\uppi }{120}[/tex]

[tex]\Longrightarrow r=\frac{180\times 10\pi }{120\pi } =\frac{180}{12} =15[/tex]

Answer:

290

Step-by-step explanation:

Formula :

Number of action figures on wall = Total number of figures × % of figures on wall

=============================================================

Given :

⇒ Total number of action figures = 500

⇒ % of action figures on wall = 58%

=============================================================

Solving :

⇒ Action figures on wall = 500 × 58%

⇒ Action figures on wall = 500 × 58/100 (all % are ratios of 100%)

⇒ Action figures on wall = 5 × 58

⇒ Action figures on wall = 290

Total action figures

Done!

Answer:

[tex]x = 2, 4[/tex]

Step-by-step explanation:

Given :

[tex]\frac{4-x}{x^{2} -5x+4} + \frac{2}{x-1} =1[/tex]

=============================================================

Factorize the denominator of the first term :

⇒ x² - 5x + 4

⇒ x² - x - 4x + 4

⇒ x(x - 1) - 4(x - 1)

⇒ (x - 4)(x - 1)

============================================================

Hence, the equation now is :

[tex]\frac{4-x}{(x-1)(x-4)} + \frac{2}{x-1} =1[/tex]

============================================================

Multiply the second term by (x - 4) in the numerator and denominator :

[tex]\frac{4-x}{(x-1)(x-4)} + \frac{2(x-4)}{x-1(x-4)} =1[/tex]

============================================================

Combine the numerator of both terms and bring the denominator to the other side :

[tex]\frac{4-x+2(x-4)}{(x-1)(x-4)} = 1[/tex]

[tex]4 - x+2x-8 = x^{2} - 5x + 4[/tex]

[tex]x - 4 = x^{2} - 5x + 4[/tex]

[tex]x^{2} -5x-x+4+4=0[/tex]

[tex]x^{2} -6x+8=0[/tex]

[tex](x-4)(x-2)=0[/tex]

[tex]x = 2, 4[/tex]

Answer:

[tex] 4x^2y\sqrt[4]{3y} [/tex]

Step-by-step explanation:

[tex] \sqrt[4]{768x^8y^5} = [/tex]

[tex] = \sqrt[4]{256 \times 3(x^2)^4y^4y} [/tex]

[tex] = \sqrt[4]{4^4 \times 3(x^2)^4y^4y} [/tex]

[tex] = 4x^2y\sqrt[4]{3y} [/tex]

Answer:

2 1/6

Step-by-step explanation:

The answer is 2 1/6 because you should start by adding 3 1/2 + 2 1/3. This equals 5 5/6 feet. You should then subtract 8 - 5 5/6 because you are figuring out how much is left. When you subtract 8 - 5 5/6, you get 2 1/6. So 2 1/6 feet of the board is left.

Hope this helps!

Answer:

290 m²

Step-by-step explanation:

The volume of the figure can be found by taking the sum of the volumes of the 2 cuboid.

[tex]\boxed{\text{Volume of cuboid}=\text{length}\times\text{breadth}\times\text{height}}[/tex]

Top cuboid

Length= 4 m

Breadth= 5 m

Height= 7 m

Volume= 4(5)(7)= 140 m²

Bottom cuboid

Length= 5 m

Breadth= 6 m

Height= 5 m

Volume= 5(6)(5)= 150 m²

Total volume

Total volume

= volume of top cuboid +volume of bottom cuboid

= 290 m²

Additional:

For a similar question on volume of composite figures, do check out the following!

Answer:

3

Step-by-step explanation:

blue, white, and red colors

La suma de dos números enteros negativos siempre será negativa. El signo de la suma de dos números enteros con signos diferentes dependera de cual tiene mayor valor absoluto.

La suma de dos números A y B se escribe como:

A + B.

Sí ambos números son negativos, los podemos escribir como:

A = -a

B = -b

Donde a y b son positivos.

Entonces la suma de esos dos nos dará:

(-a) + (-b) = -(a + b).

Es decir, el resultado de la suma es un número negativo.

Un ejemplo es sí tomamos:

A = -1

B = -4

(-1) + (-4) = -(1 + 4) = -5.

En este caso dependerá de que número tenga mayor valor absoluto.

Por ejemplo, sí usamos:

A = 2

B = -4

2 + (-4) = -2

El resultado es negativo, pues el número negativo tiene mayor valor absoluto.

Por otro lado, sí tenemos:

A = -2

B = 4

(-2) + 4 = 2

El resultado es positivo, pues el número positivo tiene mayor valor absoluto.

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A major arc is an arc that is greater than 180 degrees.

A minor arc is an arc less than 180 degrees.

An acute angle is an angle less than 90 degrees.

A central angle is an angle created in the center of a circle with 2 sides being the radius.

Thus, we can see in the figure that we are talking about the angle so we can eliminate the major arc and minor arc.

Now, we clearly see that the angle is greater than 90 degrees so it cannot be an acute angle.

The correct answer is the central angle as it goes with the definition.

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Answer:

y= -1/2x+5

Step-by-step explanation:

Answer:

300+(300 + 0.23x)

Step-by-step explanation:

I'm not sure what you are asking but this is the only equation I can get

The inequality x + 10(5) ≤ 1000 shows how much money you can spend on the booth if  you have $1000 and need to buy 10 chairs worth $5.

An equation is an expression that shows the relationship between two or more numbers and variables.

Let us assume that you have $1000 and need to buy 10 chairs worth $5. Let x represent the money that can be spent on the booth, hence:

x + 10(5) ≤ 1000

The inequality x + 10(5) ≤ 1000 shows how much money you can spend on the booth, if you have $1000 and need to buy 10 chairs worth $5.

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The equation that describes the which gives the area of the pen, A, as a function of x, the length of fence parallel to the barn is A = 130x - x²

The pen is rectangular. Therefore,

area of a rectangle = lw

where

Therefore,

perimeter = 2w + l

perimeter = 2w + x

130 = 2w + x

130 - x = 2w

w = 65 - 1/ 2 x

A = xw

A = x(65 - 1/ 2 x)

A = 65x - 1 / 2 x²

Therefore, the function that represents A, the area of the pen is as follows:

A = 130x - x²

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Answer:

height = 7

Step-by-step explanation:

[tex]2\cdot\frac{42}{8.7 + 3.3} = 7[/tex]

A correct answer is option A which is x² + (y – 3)² = 36 is the equation of the circle that has a diameter of 12 units and a center that lies on the y-axis.

A circle is a two-dimensional geometry on the plane having a center point and the circular line is drawn equidistant from the center point.

The general form of the equation of a circle is given as:-

( x - h )² + ( y - k )² = r²

By comparing the given equation we can see the following results:-

x² + (y – 3)² = 36

( x - ( 0 ))² + ( y - 3 )² = 6²

We can see that the coordinate of the center are ( 0, 3 ) and the radius is 6 so the diameter is 12.

Therefore the correct answer is option A which is x² + (y – 3)² = 36 is the equation of the circle that has a diameter of 12 units and a center that lies on the y-axis.

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Answer:

A and E (first and last, ending in "=36")

x2 + (y – 3)2 = 36

x2 + (y + 8)2 = 36

Step-by-step explanation:

just took the quiz

Answer:

  35.4 million

Step-by-step explanation:

We assume the description "increases by 10% per day" means the base of the percentage is the previous day's number of streams. Then the sequence of streams on consecutive days is a geometric sequence with a first term of 20 million and a common ratio of (1 +10%) = 1.10.

__

The n-th term of a geometric sequence is ...

  an = a1×r^(n-1) . . . . . where a1 is the first term, and r is the common ratio

The sequence of streams on consecutive days is then ...

  an = 20×1.10^(n-1) . . . . millions of streams on day n

For n = 7, the number of streams is ...

  a7 = 20×1.10^(7 -1) ≈ 35.4 . . . . million streams

There will be about 35.4 million streams on the seventh day.

Answer:

1/4

Step-by-step explanation:

[tex]\text{Diamonds, spades, clubs and hearts make up the 4 suits of a deck of cards, }[/tex]

[tex]\text{which contains 52 cards. There are 13 diamonds in a pack.}[/tex]

[tex]\text{Probability of an event:}[/tex]

[tex]\text{ Number of favorable outcomes / Total number of outcomes}[/tex]

[tex]\text{Probability of getting a diamon}d = \frac{13}{52} = \frac{1}{4}.[/tex]

[tex]\text{So the chance that you draw out a diamond from a deck}=\frac{1}{4}[/tex] .

The factorization is  [(a + 5b)/(a - 5b)]³ + [(5b + 3c)(5b - 3c)]³ + [(3c + a)(3c - a)]³

To answer the question, w e need to know what factorization is

Factorization is the breaking down of a larger expression into smaller expression by grouping it into its factors.

So, [{(a² - 25b²}³ + {25b² - 9c²}³ + {9c² - a²}³)/{(a - 5b)³ + (5b - 3c)³ + (3c - a)³}]​

= [{(a² - (5b)²}³ + {(5b)² - (3c)²}³ + {(3c)² - a²)})/{(a - 5b)³ + (5b - 3c)³ + (3c - a)³}]​

Using the fact that x² - y² = (x + y)(x - y) in the terms in the numerator, we have

[{(a - 5b)(a + 5b)}³ + {(5b - 3c)(5b + 3c)}³ + {(3c - a)(3c + a)}³/{(a - 5b)³ + (5b - 3c)³ + (3c - a)³}]​

Factorizing out the denominator, we have

= [{(a + 5b)/(a - 5b)}³ + {(5b + 3c)/(5b - 3c)}³ + {(3c + a)/(3c - a)}³[(a - 5b)³ + (5b - 3c)³ + (3c - a)³]/{(a - 5b)³ + (5b - 3c)³ + (3c - a)³}]​

Cancelling out the denominator, we have

= [(a + 5b)/(a - 5b)]³ + [(5b + 3c)(5b - 3c)]³ + [(3c + a)(3c - a)]³

So, the factorization is  [(a + 5b)/(a - 5b)]³ + [(5b + 3c)(5b - 3c)]³ + [(3c + a)(3c - a)]³

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=========================================================

Explanation:

Points Q and R have the same y coordinate of 6.

This means they're on the same horizontal level and we can form a number line through these points. Think of Q and R being on the x axis.

Going from -4 to 8 is a distance of 12 units because either

-4-8 = -12 which flips to +12 or 12

8-(-4) = 8+4 = 12

Effectively I used absolute value for the first part to go from -12 to 12. Distance cannot be negative.

Alternatively, you can count out the number of horizontal spaces from -4 to 8 and you should count out 12 units.

--------------------------------

If you need to use the distance formula, then this is what the steps may look like:

[tex]Q = (x_1,y_1) = (-4,6) \text{ and } R = (x_2, y_2) = (8,6)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(-4-8)^2 + (6-6)^2}\\\\d = \sqrt{(-12)^2 + (0)^2}\\\\d = \sqrt{144 + 0}\\\\d = \sqrt{144}\\\\d = 12\\\\[/tex]

In my opinion, the distance formula is overkill because we can simply apply subtraction or count out the number of spaces. It's up to you which you prefer you like better. Of course be sure to follow all instructions your teacher mentions.

If the two points weren't on the same horizontal level, then we would have no choice and have to use the distance formula. Or you could use the pythagorean theorem which is effectively what the distance formula is derived from.

Answer:

$14

Step-by-step explanation:

6 attendees divided by the cost of 12 = $2 per attendee

If 7 attendees are joining times $2 per person =$14

Answer:

  B.  0.95

Step-by-step explanation:

The probability that the value of the random variable is in the given range is the area under the normal probability distribution curve over that range. The value of this area is conveniently provided by any number of calculators, apps, or spreadsheets. It can also be determined using the "empirical rule" that tells you the probability over certain normalized ranges.

__

A standard normal probability density function (PDF) has a mean of 0 and a standard deviation of 1. The range in this problem can be normalized to some number of standard deviations above or below the mean. The mean is given as 46, and the standard deviation is given as 22.

In this problem, the lower limit of the range is ...

  z = (2 -46)/22 = -2

standard deviations from the mean.

Similarly, the upper limit is ...

  z = (90 -46)/22 = +2

standard deviations from the mean.

The empirical rule tells us that 95% of the area of the PDF lies between -2 and +2 standard deviations from the mean.

  P(2 < X < 90) ≈ 0.95

_____

Additional comment

The empirical rule for other ranges is ...

  ± 1 standard deviation: 68%

  ±2 standard deviations: 95%

  ±3 standard deviations: 99.7%

Answer:

105

Multiples of 35:
35, 70, 105, 140, 175

Multiples of 21:
21, 42, 63, 84, 105, 126, 147

Answer:

105

Step-by-step explanation:

Given the following question:

We are given two numbers and we are trying to find the least common multiple (LCM) of the two. In order to find the LCM we have to find the GCM or the greatest common multiple.

[tex]35\div7=5[/tex]
[tex]21\div7=3[/tex]
[tex]GCM=7[/tex]

Now that we have the GCM we multiply 35, and 21 then divide it by the GCM.

[tex]35\times21=735[/tex]
[tex]735\div7=105[/tex]
[tex]LCM=105[/tex]

The least common multiple is "105."

Hope this helps.

To increase sales, an online clothing store began giving a 50% off coupon to random customers Six customers each made purchases from the website the binomial random variable and  mean and standard deviation of X  is mathematically given as

[tex]X ~ Bin(n = 6, p = 0.2)[/tex]

x= 0.9798

Generally, the equation for is mathematically given as

P(coupon) = 1/5

P(coupon)= 0.2

the binomial distribution

[tex]X ~ Bin(n = 6, p = 0.2)[/tex]

Therefore, The mean and standard deviation of X

[tex]пВ = np \\np= 6* 0.2 = 1.2\\[/tex]

[tex]x=\sqrt{ np(1 - p)} \\ x=\sqrt{ 6 * 0.2 + (1 -0.2)} \\[/tex]

x= 0.9798

In conclusion, mean and standard deviation of X

x= 0.9798

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