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konstantin123 [22]
3 years ago
10

James has 6 stamps in his stamp collection. Roy has 12 stamps in his stamp collection. James adds 2 stamps to his stamp collecti

on. After James adds these stamps, what is the ratio of the number of stamps in James's collection to the number of stamps in Roy’s collection?
Mathematics
1 answer:
Phoenix [80]3 years ago
3 0
For every one stamp James has Roy has twice as much. So the ratio would be 1/2
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Find the area of the trapezoid.
Usimov [2.4K]

Answer:

\large\boxed{A=54\ m^2}

Step-by-step explanation:

The formula of an area of a trapezoid:

A=\dfrac{b_1+b_2}{2}\cdor h

<em>b₁, b₂</em> - <em>bases</em>

<em>h</em><em> - height</em>

We must use the Pythagorean theorem:

x^2+8^2=10^2

x^2+64=100              <em>subtract 64 from both sides</em>

x^2=36\to x=\sqrt{36}\\\\x=6\ m

We have <em>b₁ = 6 + 6 = 12m</em>, <em>b₂ = 6m</em> and <em>h = 8m</em>.

Substitute:

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An employee at a company that assembles chandeliers is packing boxes for shipping. In the first box, he packed 5 small chandelie
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Step-by-step explanation:

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Kelsey has saved 35dollars towards the cost of a 390 dollar video game system. In the weeks to come, she plans to save an additi
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Am pls answer this sorry​
Komok [63]

Answer:

16. 1

17. 3

18. 1

19. 1

20. 1

Step-by-step explanation:

I'm sorry that I don't speak in Filipino but I can help fill in the blanks.

(In brackets is the English translation)

12 pulgada = 1 piye (12 inch is 1 foot)

1 yard = 3 piye (1 yard is 3 feet)

10 sentimetro = 1 desimetro (10 centimeters is 1 decimeter)

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3 0
3 years ago
Find the equation of the line that is parallel to the line x + 5y = 10 and passes through the point (1,3).
Nataliya [291]

Answer:

Step-by-step explanation:

for two lines to be parallel they MUST have the same slope but have different Y intercepts ( Y axis crossing values)

parallel lines will never intersect each other

first I use a graphing calcuator to solve the problem

I like to use y intercept form better, but you don't have use it

I will try to solve it directly without going through the y intercept equation

x + 5y = 10    in y intercept form y = mx + b is

5y = -x + 10     divide both sides by 5

y = -x/5 + 10/5    

y = -x/5 + 2

Now I need to find a parallel line that passes through the x =1 and y = 3 point recall this line will have the same slope =     m = -1/5

and a different Y axis crossing point 'b' that we don't know

y = -x/5 + b      y = 3 when x = 1 so slove for 'b'

3 = -1/5 + b

3 = -0.2 + b    add -0.2 to both sides

3.2 = b

y = -x/5 + 3.2     this is answer in y intercept form

                          if you multiply both sides by 5

5y = -x + 16        add x to both sides

x + 5y = 16         answer in standard form

THE EASIER WAY TO SOLVE THE PROBLEM IS ......

x + 5y = 10      find a line parallel that passes through x  = 1,  y = 3  

x + 5y = Z       Z is an unknown value  plug in x and y and solve for Z

1 + 5(3) = Z

Z = 16              so the parallel line in standard form is

x + 5y = 16    

same as before,  my y intercept method was correct, but not  worth the effort

       

6 0
3 years ago
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