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Law Incorporation [45]
3 years ago
13

Five times a number decreased by 7 is less than thirty-three. Write and solve an inequality.

Mathematics
2 answers:
Olin [163]3 years ago
4 0

x<8

Step-by-step explanation:

5x-7<33

5x<33+7

5x<40

5x÷5<40÷5

x<8

Degger [83]3 years ago
3 0
This is just the inequality: 5x-7<33
(And the solution should be x<8)
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A farmer looks out her window and sees ducks and rabbits. She says to her husband, "I see 36 heads and 80 feet." Assuming she co
Montano1993 [528]

Answer:

The number of duck is 32.

Step-by-step explanation:

Let x represent the number of rabbits.

Let y represent the number of ducks

From the question given:

The sum of rabbit and duck is 36 i.e

x + y = 36 .... (1)

The sum of the feets of the rabbit and duck is 80.

Rabbits has 4 legs

Duck has 2 legs

Therefore, the sum their feets (i.e 80) can be written as:

4x + 2y = 80 .... (2)

The equations are:

x + y = 36 .... (1)

4x + 2y = 80 .... (2)

Solving by substitution method:

From equation (1)

x + y = 36

Make x the subject

x + y = 36

x = 36 - y

Substitute the value of x into equation (2)

4x + 2y = 80

x = 36 - y

4(36 - y) + 2y = 80

Clear bracket

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144 - 2y = 80

Collect like terms

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Divide both side by - 2

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Therefore, the number of duck is 32.

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