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damaskus [11]
3 years ago
14

5x+6y= 32 12-4x=8 substitution

Mathematics
1 answer:
PIT_PIT [208]3 years ago
4 0

Answer:

x = 4, y = 2

Step-by-step explanation:

5x + 6y = 32

6y = 32 - 5x

12y - 4x = 8

2(32 - 5x) - 4x = 8

64 - 10x - 4x = 8

56 = 14x

x = 4

6y = 32 - 5(4) = 12

6y = 12

y = 2

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Meiling has 1/ 1 4 liter of orange juice. She drinks 1/3 liter how much orange juice does she have left
olga_2 [115]

Litres left can be solve as shown below

\begin{gathered} 1\frac{1}{4}\text{ - }\frac{1}{3} \\ using\text{ the LCM, we have} \\ \frac{5}{4}-\frac{1}{3} \\ \frac{15\text{ - 4 }}{12}=\frac{11}{12} \end{gathered}

4 0
11 months ago
Can you solve this in a good way please
IRINA_888 [86]

Answer:

5/2 x^2y^2

Step-by-step explanation:

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

=  x^4 - 6/5x^2y^2 + 9/25y^4 + 9/16x^4 + 6/5x^2y^2 + 16/25y^4 - ( 25/16x^4

- 5/2x^2y^2 + y^4)

Distributing the negative over the parentheses:-

=  x^4 - 6/5x^2y^2 + 9/25y^4 + 9/16x^4 + 6/5x^2y^2 + 16/25y^4

- 25/16x^4

+  5/2x^2y^2 - y^4

Bringing like terms together

x^4 + 9/16x^4 - 25/16x^4 - 6/5x^2y^2 + 6/5x^2y^2 +  5/2x^2y^2   +  16/25y^4 + 9/25y^4

- y^4  

Adding like terms:-

= 5/2 x^2y^2  Answer

8 0
3 years ago
Find the slope of the two points below
earnstyle [38]

Answer:

-3/2

Step-by-step explanation:

Formula for slope is y2-y1/x2-x1

3-5/3-1

-3/2

8 0
2 years ago
How many different squares appear in this picture?
ArbitrLikvidat [17]

Answer:

27

Step-by-step explanation:

4 times 4 is 16

2 boxes in the middle

4 tiny boxes in each one in the middle

1 entire one on the outside

1+4+4+2+16= 27

7 0
3 years ago
2. Consider the following graph of a quadratic function.
Stella [2.4K]

Answer:

see the procedure

Step-by-step explanation:

Looking at the graph we have

The graph represent a  vertical parabola open upward

The vertex is a minimum

The vertex is the point (-4,-3)

The domain is the interval -----> (-∞,∞)

The Domain is all real numbers

The range is the interval ----> [-3,∞)

y\geq -3

The range is all real numbers greater than or equal to -3

The graph is increasing in the interval (-4,∞)

The graph is decreasing in the interval (-∞,-4)

The minimum of the graph is y=-3 occurs at x=-4

5 0
3 years ago
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