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nignag [31]
3 years ago
10

Which ordered pair (p,r) is the solution to the given system of linear equations?

Mathematics
1 answer:
Misha Larkins [42]3 years ago
8 0

Answer:

(p,r) = (1/3, 2/9)

Step-by-step explanation:

Here, we want to solve a system of equations

We can rewrite the second equation by dividing through by 2

So we have;

4p + 3r = 2

and

5p - 3r = 1

Add both equations:

9p = 3

p = 3/9

p = 1/3

Recall ;

5p - 3r = 1

3r = 5p - 1

Substitute the value or p here

3r = 5(1/3)-1

3r = 5/3 - 1

3r = 2/3

r = 2/9

So we have the solution set as;

(p,r) = (1/3 , 2/9)

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This i forgot and i need help fast can someone please help..<br> I will give brainliest
GalinKa [24]

Answer:

1.) 471.24

2.) 1231.5

3.) 113.1

Step-by-step explanation: A = pi x r^2 + pi x r x ^2

1.) a = 3.14 x (5)^2 + 3.14 x 5 x ^2

a = 3.14 x 25 + 3.14 x 5 x 25

a = 78.54 + 392.70

a ≈ 471.24

2.) A = 3.14 (7)^2 + 3.14 x (7) x ^2

a = 3.14 x 49 + 3.14 x 7 x 49

a = 153.93 + 1077.57

a ≈ 1231.5

3.) a = 3.14 (3)^2 + 3.14 x 3 x ^2

a = 3.14 x 9 + 3.14 x 3 x 9

a = 28.27 + 84.82

a ≈ 113.1

3 0
3 years ago
Read 2 more answers
An expression is shown below. Which expression is equivalent to the expression shown?
Vera_Pavlovna [14]

Note: In option A, it should be "+" instead of "(".

Given:

The expression is

-2x(x+y-3)+3(-x+4y)+y(3x+5y-3)

To find:

The equivalent expression.

Solution:

We have,

-2x(x+y-3)+3(-x+4y)+y(3x+5y-3)

Using distributive property, we get

=-2x(x)-2x(y)-2x(-3)+3(-x)+3(4y)+y(3x)+y(5y)+y(-3)

=-2x^2-2xy+6x-3x+12y+3xy+5y^2-3y

On combining like terms, we get

=-2x^2+5y^2+(-2xy+3xy)+(6x-3x)+(12y-3y)

=-2x^2+5y^2+xy+3x+9y

The expression -2x^2+5y^2+xy+3x+9y is equivalent to the given expression.

Therefore, the correct option is A.

6 0
3 years ago
1+4.25n+3/2p-3+(-2p)+5/4n
alex41 [277]

Answer:

11/2n+-1/2p-2

Step-by-step explanation:

simplification

3 0
3 years ago
in the figures below the cube shaped box is 6 inches wide and the rectangular box is 10 inches long 4 inches wide and 4 inches h
IRINA_888 [86]
<span>The cube’s sides measures 6 inches and the measurement for the rectangular box is that it is 10 inches long, 4 inches thick and 4 inches high. To compute for the volume of a cube you must use the formula of V = a3 and for the rectangular prism is V = l x w x h.</span>
<span>Cube:    V = 6^3
</span>              <span>V = 216 inches^3</span>
<span>Rectangular Prism:       V = 10 x 4 x 4</span> <span>             
                                       V = 160 inches^3</span>
To identify how much greater the volume the cube from the rectangular box we subtract their volumes.
N = C – R where N stands for the unknown C for the volume of cube and R for the volume of Rectangular Box <span>
N = 216 inches^3 – 160 inches^3
</span> <span>N = 56 inches^3</span> <span>
So the cube is 56 inches3 greater than the rectangular box.</span>


4 0
3 years ago
Read 2 more answers
| 1). What number is 40% of 50?
ipn [44]
40% of the number 50 is 20
7 0
3 years ago
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