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GuDViN [60]
3 years ago
11

How many solutions does this system of equations have? Use either the substitution method or the elimination method. y = 2x + 3y

= 2x + 3 −4x + 2y = 6−4x + 2y = 6
infinitely many solutions 
exactly one solution
no solution
Mathematics
2 answers:
valentina_108 [34]3 years ago
6 0
Actually an infinite number. Since y or x can be anything, that is infinity.
bixtya [17]3 years ago
5 0

Answer:

its no solution on khan

Step-by-step explanation:

i got it right

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The can of tomatoes is three times as tall but one-third as wide as the can of tuna. What is true about the areas of their label
yulyashka [42]
Problem One
Call the radius of the second can = r
Call the height of the second can = h

Then the radius of the first can = 1/3 r
The height of the first can = 3*h

A1 / A2 = (2*pi*(1/3r)*(3h)] / [2*pi * r * h] 

Here's what will cancel. The twos on the right will cancel. The 3 and 1/3 will multiply to one. The 2 r's will cancel. The h's will cancel. Finally, the pis will cancel

Result A1 / A2 = 1/1
The labels will be shaped differently, but they will occupy the same area.

Problem Two
It seems like the writer of the problem put some lids on the new solid that were not implied by the question.

If I understand the problem correctly, looking at it from the top you are sweeping out a circle for the lid on top and bottom, plus the center core of the cylinder. 

One lid would be pi r^2 = pi w^2 and so 2 of them would be 2 pi w^2
The region between the lids would be 2 pi r h for the surface area which is 2pi w h

Put the 2 regions together and you get
Area = 2 pi w^2 + 2 pi w h

Answer: Upper left corner  <<<<< Answer
8 0
3 years ago
1.    An AP has a common difference of 3.  Given that the nth term is 32, and the sum of the first n terms is 185, calculate the
netineya [11]

Answer:

The value of n is 10

Step-by-step explanation:

The formula of the nth term of the arithmetic progression is a_{n} = a + (n - 1)d

  • a is the first term
  • d is the common difference between each 2 consecutive terms
  • n is the position of the term

The formula of the sum of nth terms is S_{n} = \frac{n}{2} [2a + (n - 1)d]

∵ An AP has a common difference of 3

∴ d = 3

∵ The nth term is 32

∴ a_{n} = 32

→ Substitute them in the 1st rule above

∵ 32 = a + (n - 1)3

∴ 32 = a + 3(n) - 3(1)

∴ 32 = a + 3n - 3

→ Add 3 to both sides

∴ 35 = a + 3n

→ Switch the two sides

∴ a + 3n = 35

→ Subtract 3n from both sides

∴ a = 35 - 3n ⇒ (1)

∵ The sum of the first n terms is 185

∴ S_{n} = 185

→ Substitute the value of S_{n} and d in the 2nd rule above

∵ 185 = \frac{n}{2} [ 2a + (n - 1)3]

∴ 185 = \frac{n}{2} [2a + 3(n) - 3(1)]

∴ 185 = \frac{n}{2} [2a + 3n - 3]

→ Multiply both sides by 2

∴ 370 = n(2a + 3n - 3)

∴ 370 = 2an + 3n² - 3n

→ Substitute a by equation (1)

∴ 370 = 2n(35 - 3n) + 3n² - 3n

∴ 370 = 70n - 6n²+ 3n² - 3n

→ Add the like terms in the right side

∵ 370 = -3n² + 67n

→ Add 3n² to both sides

∴ 3n² + 370 = 67n

→ Subtract 67 from both sides

∴ 3n² - 67n + 370 = 0

→ Use your calculator to find n

∴ n = 10 and n = 37/3

∵ n must be a positive integer ⇒ 37/3 neglecting

∴ n = 10

∴ The value of n is 10

4 0
3 years ago
A cone is inscribed in a right square pyramid. What is the remaining volume if the
diamong [38]

Answer:

3tgfjhihvyuvyuhihhibib

4 0
2 years ago
Which is bigger 0.17 or 0.165
Bogdan [553]
0.17 is bigger because you compare the values of the number in each place. There is no whole number, the tenths place is equal. Then in the hundredths place you have a 6 and a 7. 6<7 so therefore 0.17> 0.165. To help yourself out u can add a 0 at the end to then more easily compare .170 to .165
5 0
3 years ago
What is the first term in the sequence for which d = -2 and a7 = 3?
weeeeeb [17]
No it’s b I took the quiz
5 0
3 years ago
Read 2 more answers
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