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Alex
3 years ago
5

Solve 5x − 6y = −38 3x + 4y = 0

Mathematics
1 answer:
Leto [7]3 years ago
7 0

Answer:

x = -76 , y = 57

Step-by-step explanation:

5x - 6y = -38

3x + 4y = 0

------------------

use 4 to multiply equation 1

5x(4) - 6y(4) = - 38(4)

20x -24y = -152

----------------------

use 6 to multiply equation 2

3x(6) + 4y(6) = 0(6)

18x + 24y = 0

------------------------

20x - 24y = -152

18x + 24y = 0

----------------------

2x = -152

----------------

divide 2 by both sides

x = -76

--------------------

to find y, slot in the of x to either equation 1 or 2

--------------------------------

equation 2

3x + 4y = 0

3(-76) + 4y = 0

------------------------

-228 + 4y = 0

4y = 228 - 0

4y = 228

---------------------

divide both sides by 4

----------------------------------

y = 57

for this type of question, you can use

  1. substitution method
  2. elimination method
  3. graphical method

i used substitution method

hope it helps

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A rectangular lawn, 100 feet long by 50 feet wide, is to have two sidewalks installed that will cut the lawn in half both ways,
Damm [24]

Answer:

3.41 feet

Step-by-step explanation:

Area = Length × Breath

Area of the rectangular lawn = 100 × 50

                                                = 5000 feet²

The sidewalk must occupy an area no more than 10% of the total lawn area.

So, the area of the sidewalk would be not more than  = 10% × 5000

                                                                                         = 0.10 × 5000

                                                                                        = 500 feet²

Let the width of the sidewalk = x feet

area of the side walk = (L×W of the long way) + ((L-x)×W of the short way)

(100 × x) + ((50 - x) × x) < 500

100x + (50-x)(x) < 500

-x²  + 150x < 500

-x² + 150x = 500

-x² + 150x - 500 = 0

By using quadratic formula

x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}

x=\frac{(-150)\pm\sqrt{(150)^2-4(-1)(-500)} }{2(-1)}

x=\frac{-150\pm \sqrt{20500} }{-2}

x=75-5\sqrt{205} or x=75+5\sqrt{205}

x = 3.41089 ≈ 3.41 feet  or  x = 146.58

Therefore, width of the sidewalk would be 3.41 feet.

5 0
3 years ago
The decorating committee for a school
Schach [20]

Answer:

D. 160

Step-by-step explanation:

This question can be solved by proportions, using a rule of three.

In this question:

For each 3 white carnations, 5 yellows are needed, which leaves us with 8 total carnations. So for 60 white, the total is:

3 white - 8 total

60 white - x total

So

3x = 60*8

Dividing both sides by 3

x = 20*8 = 160

The correct answer is given by option D.

5 0
3 years ago
Polygon A and Polygon B are similar with a ratio of similarity of 5/4. If the perimeter of Polygon A is 20 units, what is the pe
klemol [59]

Answer:

16 units

Step-by-step explanation:

A/B = 5/4 = 20/p

5/4 = 20/p

5p = 4 × 20

p = 4 × 4

p = 16

Answer: 16 units

6 0
2 years ago
bill and his friends went to red robin. Their order consisted of 2 hamburgers to $5.49 each, a chicken sandwich for $6.25, an or
4vir4ik [10]
$5.49 per hamburger x 2 hamburgers=$10.98
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$10.98+$6.25+$12.99+$7=$37.22
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$37.22 x 0.2 tip=approximately $7.44
$37.22+$2.61+$7.44=$47.27
7 0
3 years ago
Simplify the following expression 5^2-4/5+2
Misha Larkins [42]
131/5 is your answer

3 0
3 years ago
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