The masses to the nearest kilogram of nine men were:

75, 68, 78, 82, 85, 90, 88, 92, 76.

Calculate the mean mass​

Answer:

50 crates

Step-by-step explanation:

First we need to convert 2 tons into pounds; 2 short tons = 4000 pounds, so the greatest number of crates that can be loaded onto the elevator is 4000 Hope this helps >:D

Answer:

1/2 or 0.5 hours

Step-by-step explanation:

r = time for repairman to fix one pair of shoes.

a = time for assistant to fix one pair of shoes.

a = r×1.5

x×r + y×a = 6

x = number of pairs of shoes repaired by repairman.

y = number of pairs of shoes repaired by assistant.

x+y = 10

y = 10-x

x = y×1.5 (based on the a/r ratio : as the assistant needs 1.5 times longer, the repairman will have repaired 1.5 times more pair of shoes in the same time)

y = 10 - y×1.5

y + y×1.5 = 10

2.5×y = 10

y = 4

=> x = 6

6×r + 4×r×1.5 = 6

6×r + 6×r = 6

12×r = 6

r = 6/12 = 1/2 or 0.5 hours

Answer:

5r³ - 34r² + 44r - 16

Step-by-step explanation:

[tex] \small \sf \: (5r − 4)(r² − 6r + 4)[/tex]

use the distributive property

5r × (r² − 6r + 4) - 4× (r² − 6r + 4)

5r³ - 30r² + 20r - 4r² + 24r - 16

combine like terms

5r³ - 30r² - 4r² + 20r + 24r - 16

5r³ - 34r² + 44r - 16

The product of the expressions is 5r^3 - 34r^2 + 44r - 16

The product of two expression is done by multiplying the expressions

The product expression is given as:

[tex](5r - 4)(r^2 - 6r + 4)[/tex]

Expand the expression

[tex]5r^3 - 30r^2 + 20r - 4r^2 + 24r - 16[/tex]

Collect like terms

[tex]5r^3 - 30r^2 - 4r^2 + 20r + 24r - 16[/tex]

Evaluate the like terms

[tex]5r^3 - 34r^2 + 44r - 16[/tex]

Hence, the product of the expressions is 5r^3 - 34r^2 + 44r - 16

Read more about product at:

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Answer:

8 : 27

Step-by-step explanation:

The ratio of the volumes is the ratio of the scale factor cubed

2^3 : 3^3

8 : 27

Answer:

8 : 27

Step-by-step explanation:

Given 2 similar cylinders with height ratio = a : b , then

ratio of volumes = a³ : b³

Here height ratio = 2 : 3

ratio of volumes = 2³ : 3³ = 8 : 27

Answer:

Step-by-step explanation:

Use the standard form equation along with 3 of the coordinates from the table. I used (-1, 2.5), (0, 5), and (1, 8.5). Begin always with the coordinate where you have a 0:

[tex]5=a(0)^2+b(0)+c[/tex] and we get immediately that c = 5. We can use that value as move forward with the next coordinate pair.

[tex]8.5=a(1)^2+b(1)+5[/tex] and

8.5 = a + b + 5 and

3.5 = a + b Hold that thought while we come up with the second equation for this system.

[tex]2.5=a(-1)^2+b(-1)+5[/tex] and

2.5 = a - b + 5 and

-2.5 = a - b  Now solve this system using the method of eliination:

  a  +  b  =  3.5

+ a  -  b  = -2.5

so

2a = 1 and a = 1/2 Now we can plug that in and solve for b:

a + b = 3.5 becomes

1/2 + b = 3.5 so

b = 3 and the equation is

[tex]y=\frac{1}{2}x^2+3x+5[/tex]

Answer:

cos(2π/35)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Pre-Calculus

Step-by-step explanation:

Step 1: Define

Identify

cos(π/5)cos(π/7) + sin(π/5)sin(π/7)

Step 2: Simplify

Answer:

# of 20cent stamps = 8

Step-by-step explanation:

Let the  number 20cent stamps be = x

Let the number 60 cents stamps be = y

Total number of stamps => 20 = x + y ----------- ( 1 )

Total cost of the stamps = 8.80

That is, 0.20x + 0.60y = 8.80 ------------- ( 2 )

      ( 2 ) => 20x + 60y = 880

            => x + 3y = 44

           =>  x = 44 - 3y

Substitute x in  ( 1 ) => x  +  y = 20

                                 44 - 3y + y = 20

                                     - 2y = 20 - 44

                                     - 2y = - 24

                                       2y = 24

                                       y = 12

Substitute y = 12 in  ( 1 ) => x + y = 20

                                         x + 12 = 20

                                            x = 8

Answer:

first one

Step-by-step explanation:

a + b = c

subtract a from both sides

b = c - a

or

c - a = b

[tex]\longrightarrow{\green{ a. \: c - a = b }}[/tex] 

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex]a + b = c[/tex]

[tex]⇢ b = c - a[/tex]

[tex]⇢ c - a = b[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]

m angle APD.

Hope It's help you.

Step-by-step explanation:

yeah angle m is APD so yeah

Answer: one solution.

Step-by-step explanation:

[tex]\dfrac{2}{3} x-4=12-2x\\\\\dfrac{2}{3} x+2x=12+4\\\\2\dfrac{2}{3} x=16\\\\\dfrac{8}{3} x=16\\\\8x=16 \cdot 3\\\\8x=48\\\\x=\dfrac{48}{8} =6[/tex]

This equation has one solution:  x = 6.

Answer:

[tex] x = \dfrac{-\log 7}{\log 7 - \log 2} [/tex]

Step-by-step explanation:

[tex] 2^x = 7^{x + 1} [/tex]

Take the log of both sides.

[tex] \log 2^x = \log 7^{x + 1} [/tex]

Use properties of log.

[tex] x \log 2 = (x + 1) \log 7 [/tex]

[tex] x \log 2 = x \log 7 + \log 7 [/tex]

[tex] x \log 2 - x \log 7 = \log 7 [/tex]

[tex] x(\log 2 - \log 7) = \log 7 [/tex]

[tex] x = \dfrac{\log 7}{\log 2 - \log 7} [/tex]

[tex] x = \dfrac{\log 7}{-(\log 7 - \log 2)} [/tex]

[tex] x = \dfrac{-\log 7}{\log 7 - \log 2} [/tex]

Answer:

degrees of 5 or greater

Step-by-step explanation:

peaks counted are 5

Answer:

4th option

Step-by-step explanation:

in geometric sequences the number is multiplied or divided by same number continuously

in the 4th option we can see that the number 1 is multiplied by 4 continuously so the correct answer would be that.

The solution to the equation 30x² - 28x + 6 = 0 is x = 3/5 and x = 1/3 option (B) and (E) are correct.

Any equation of the form [tex]\rm ax^2+bx+c=0[/tex] where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.

As we know, the formula for the roots of the quadratic equation is given by:

[tex]\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}[/tex]

We have a quadratic equation:

30x² - 28x + 6 = 0

a = 30, b = -28, and c = 6

Plug the values in the formula:

[tex]\rm x = \dfrac{-(-28) \pm\sqrt{(-28)^2-4(30)(6)}}{2a}[/tex]

After solving:

x = 3/5 or x = 1/3

Thus, the solution to the equation 30x² - 28x + 6 = 0 is x = 3/5 and x = 1/3 option (B) and (E) are correct.

Learn more about quadratic equations here:

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Answer:

D

Step-by-step explanation:

We can start by taking a look at the x and y intercepts. When x=0, y=3. Plugging this into each function,

5 * 3^(0) = 5

3 * 5^(0) = 3

5 * (1/3)^(0) = 5

3 * (1/5) ^ (0) = 3

Therefore, our answer must be either B or D. Then, although y=0 isn't given on the graph, based on where the graph is heading, we can say that y is getting smaller as x gets larger. For a big number, such as 100, we know that

3 * 5^(100) is something big and 3 * (1/5) ^ (100) is something small*. Therefore, as y must get small, not big, as x gets larger, D is our answer.

* We know that this is something small because anything less than 1 to the power of something greater than 1 makes it smaller. For example, 0.5² is 0.25, which is smaller than 0.5

Answer:

0.33

Step-by-step explanation:

1/3 can also be written as 1 ÷ 3 which equals 0.33

Answer:

0.333333333

Step-by-step explanation

Answer:

6.32

5

254.34

Step-by-step explanation:

The lengths of the missing sides can be determined using Pythagoras theorem

The Pythagoras theorem : a² + b² = c²

where a = length

b = base

c =  hypotenuse

first missing side

7² = 3² + x²

49 = 9 + x²

x² = 49 - 9

x² = 40

x = 6.32

second missing side

3² + 4²

9 + 16

= 25

√25 = 5

Area of a circle = πr²

Where : = π = pi = 3.14

3.14 x 9² = 254.34

Answer:

you nepali me nepali all are nepalese nepalese are only unintelligent

Answer:

The passenger's luggage has an excess weight of 2 kg, which is 10% of the maximum weight.

Step-by-step explanation:

First, we need to find the weight (W) of the 4 bags:

[tex] W = 3.5 kg + 15 kg + 2 kg + 1.5 kg = 22 kg [/tex]

Now, knowing that the maximum allowed (M) is 20 kg the excess weight of the luggage is:

[tex] W_{e} = W - M = 22 kg - 20 kg = 2 kg [/tex]

We can express the excess weight in percentage as follows:

[tex] \% W_{e} = \frac{W_{e}}{M} \times 100 = \frac{2 kg}{20 kg}\times 100 = 10 \% [/tex]  

Therefore, the passenger's luggage has an excess weight of 2 kg, which is 10% of the maximum weight.          

I hope it helps you!                      

Answer:

angle IGH = 50 degree

Step-by-step explanation:

triangle GHI is an isosceles triangle because it's two sides are equal.

if angle I is 50 degree then angle G is also 50 degree becasue in isosceles triangle the base angles are equal.

Answer:

31°,59°

Step-by-step explanation:

csc (2x+9)=sec(3x+26)

1/sin(2x+9)=1/cos (3x+26)

sin (2x+9)=cos(3x+26)

cos (90-2x-9)=cos(3x+26)

90=3x+26+2x+9

5x+35=90

5x=90-35=55

x=55/5=11

2x+9=2×11+9=31°

3x+26=3×11+26=59°

Given:

You move down 2 units and up 8 units.

You end at (0, 4).

To find:

The starting point.

Solution:

Let the starting point be [tex](x,y)[/tex].

You move down 2 units and up 8 units. So, the rule of translation is:

[tex](x,y-2+8)=(x,y+6)[/tex]

You end at (0, 4).

[tex](x,y+6)=(0,4)[/tex]

On comparing both sides, we get

[tex]x=0[/tex]

[tex]y+6=0[/tex]

[tex]y=4-6[/tex]

[tex]y=-2[/tex]

Therefore, the starting point is (0,-2).

Answer:

part a-24 questions

part b-2 or 3 more questions

Step-by-step explanation:

part a-to find the number, change the percent into a decimal (.75) and multiply (24)

part b-first find how many questions need to be right to get 80% (.80 times 32=25.6). then subtract by how many he would get with a 75% (25.6-24=about 2 to 3 more questions, rounded 2)

Answer:

[tex]a_{n}[/tex] = 6n + 1

Step-by-step explanation:

This is an arithmetic sequence with nth term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 13 - 6 = 7 and d = 6 , then

[tex]a_{n}[/tex] = 7 + 6(n - 1) = 7 + 6n - 6 = 6n + 1

Answer:

the first few terms would be

7, 13, 19, 25, 31

nth term = 7 + 6(n+1)

nth term = 7+ 6n + 6

nth term = 6n + 13

( 3 × 5 ) + ( 2 × 4 ) =

15 + 8 = $ 23

Answer:

$254.40

Step-by-step explanation:

Find the total bill by multiplying 212 by 1.2, which will calculate the cost included with the 20% tip:

212(1.2)

= 254.4

So, the total bill will be $254.40

Answer:

[tex]\$254.40[/tex]

Step-by-step explanation:

Since 20% as a decimal is 0.2, the total bill including tax is 1.2 times larger than the original bill.

Original bill of $212.00:

Final bill: [tex]212.00\cdot 1.2=\boxed{\$254.40}[/tex]