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OlgaM077 [116]
4 years ago
7

What is the solution to this system of liner inequality 3x-2y=14,5×+y=32​

Mathematics
2 answers:
kondaur [170]4 years ago
7 0

My work is shown up above in first picture.

Second picture is checking my answer.

Lynna [10]4 years ago
6 0

For this case we have a system of two equations with two unknowns:

3x-2y = 14\\5x + y = 32

We multiply the second equation by 2:

3x-2y = 14\\10x + 2y = 64

We add the equations:

13x = 78\\x = \frac {78} {13}\\x = 6

We substitute the value of "x" in the following equation, and we clear the value of "y":

5 (6) + y = 32\\30 + y = 32\\y = 32-30\\y = 2

So, the solution is: (6,2)

ANswer:

(6,2)

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For a cone, the equation for volume would be
V = π r^2 h/3.

( volume = pi x radius squared x height / 3)

To find the volume for this question, you would set up the equation like this:

V = π x 2^2 x 12 / 3

Then, following the order of operation, you would do the following:

V = π x 4 x 12 / 3

(You get the 4 from 2 squared)

V = π x 4 x 4

(You get the second 4 from dividing 12 by 3)

V = π x 16

(You get 16 from multiplying 4 and 4)

V = 16π

(You get 16π from multiplying 16 and π, and the number is always in front of the π, so you would never get a π16, it would only be 16π)

So, your volume would be 16π, which is answer D.

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3 years ago
Are the ratios 6:4 and 19:12 equivalent?
MrRa [10]

Answer: No, they are not.

Step-by-step explanation: To see if ratios are equivalent, you have to simplify them. 6:4 can be simplified to 3:2 but 19:12 cannot be simplified anymore. Since 3:2 is not equal to 19:12, they are not equivalent.

4 0
3 years ago
Which shape does not have a rotational symmetry?
guapka [62]

Answer:

Trapezoid

Step-by-step explanation: Only a 360 rotation will make the shape appear the same again.

8 0
3 years ago
Read 2 more answers
Multiplication to find ratios that are equivalent to 4:5
Sindrei [870]

Answer:

You can multiply 4 and 5 by a number, and it will be equivalent.

Let's use the number 3.

4 x 3=12

5 x 3=15

So, it will be 12:15

8 0
3 years ago
6a+5b=4.54<br> 3a+7b=3.17
Liula [17]

Answer:

7.71

Step-by-step explanation:

add it up

6 0
3 years ago
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