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Leya [2.2K]
4 years ago
8

The sum of two numbers is 59. The difference between 2 times the first number and 6 times the second is -34. Find the two number

s.
Mathematics
1 answer:
trasher [3.6K]4 years ago
4 0

Answer: x = 40 ; y = 19

Step-by-step explanation:

x + y = 59

2*x - 6*y = -34

x + y = 59

x = 59 - y

2*(59 - y) - 6*y = -34

118 - 2*y - 6*y = -34

- 8*y = -34 - 118

-8*y = -152

y = -152 / -8

y = 19

x = 59 - y

x = 59 - 19

x = 40

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The length of a rectangle is 1 unit more than the width. The area of the rectangle is 56 units. What is the width in units of th
Mandarinka [93]

Answer:

Width = 7units

Step-by-step explanation:

The area of a rectangle

A = h * w

A - area of a rectangle

h - height of a rectangle

w - width of a rectangle

Or

A = length * breadth

It's all the same

Given :

h = 1 + w

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A = 56

56 = ( 1 + w) * w

56 = ( 1 + w)w

56 = w + w^2

56 = w^2 + w

w^2 + w - 56 = 0

Find a factor that can be multiplied to give -56

and added to give + 1

The factor is 8 and -7

Substitute 8w - 7w for w

w^2 + 8w - 7w - 56 = 0

( w^2 + 8w) - (7w - 56) = 0

w( w + 8) - 7( w + 8) = 0

( w - 7) = 0

( w + 8) =0

w - 7 = 0

w = 7

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w = 7

The width of the rectangle is 7units

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4 0
3 years ago
Need help on this !!!!!
Arisa [49]

Answer:

17

Step-by-step explanation:

Remark

In this formation, the chords cut each other so that

Equation

(3x - 1) * 3 = 12*(x -2)        Remove the brackets.

Solution

9x - 3 = 12x - 24                       Add 24 to both sides.

9x - 3 + 24 = 12x - 24 + 24      Combine

9x + 21 = 12x                            Subtract 9x from both sides

9x - 9x +21 = 12x - 9x

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4 0
3 years ago
Mrs. Zarate is 4 feet 11 inches tall. If there are 2.54 centimeters
shusha [124]

Answer:

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Step-by-step explanation:

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5 0
3 years ago
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What’s a solution set
solong [7]

It's the group of correct solutions to a given problem.

Imagine you have apples, pears and peaches you're asked <em>"what fruits do you have"</em>? Your solution set would be {apple, pear, peach}.

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3 years ago
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Alex777 [14]

Answer:

\frac{1}{3}

Step-by-step explanation:

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7 0
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