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irina [24]
2 years ago
13

Arthur earned $136 in three weeks . He goes back to school in one more week . He needs at least $189 to buy the new coat that he

wants for school . How much must Arthur earn in the next week?
Mathematics
2 answers:
nadya68 [22]2 years ago
7 0
He must earn 53 dollars
JulsSmile [24]2 years ago
5 0
He needs 53

53+136=189$
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Answer:

15

Step-by-step explanation:

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If JK = 28, JL = 20, KL = 13, and ML = 22, calculate NL. Image not set to scale.
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Answer:

NL  = 440 /13  or 33.85 (to two decimals)

Step-by-step explanation:

Consider triangles JKL and NML

angle JLK = angle NLM           vertical angles

angle KJL = angle MNL           given

Therefore triangles JKL and NML are similar

By proportion of corresponding sides of similar triangles,

NL / JL = LM / LK

Substitute given values

NL / 20 = 22 / 13

solve for NL

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2 years ago
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Help!! Solving absolute value inequalities
goblinko [34]

Answer:

48. x \geq -7 or x \leq 31

51. x \leq 13 or x \geq 3

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Step-by-step explanation:

48. | 12 - x | \leq 19

-There are two equations:

Equation 1:

12 - x \leq 19

      or

Equation 2:

12 - x \geq -19

Solving equation 1:

12 - x \leq 19

12- 12 - x \leq 19 - 12

-x \leq 7

\frac{-x}{-1} \leq \frac{7}{-1}

x \geq -7 (Inequality sign changed, because of dividing by a negative number)

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12 - x \geq -19

12 - 12  - x \geq -19 - 12

-x \geq -31

\frac{-x}{-1} \geq \frac{-31}{-1}

x \leq 31 (Inequality sign changed, because of dividing by a negative number)

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x \geq -7 or x \leq 31

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Equation 1:

x - 8 \leq 5

    or

Equation 2:

x - 8 \geq - 5

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x - 8 \leq 5

x - 8 + 8 \leq 5 + 8

x \leq 13

-Solving equation 2:

x - 8 \geq - 5

x - 8 + 8 \geq - 5 + 8

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Answers:

x \leq 13 or x \geq 3

54. | 4x + 10 | < 20

-There are two equations:

Equation 1:

4x + 10 < 20

     or

Equation 2:

4x + 10 > -20

-Solving equation 1:

4x + 10 < 20

4x + 10 - 10 < 20 - 10

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x < \frac{5}{2} or x > \frac{-15}{2}

57. | 7x + 5 | < 23

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Equation 1:

7x + 5 < 23

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Equation 2:

7x + 5 > -23

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7x + 5 < 23

7x + 5 - 5 < 23 - 5

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x < \frac{18}{7}

Solving equation 2:

7x + 5 > -23

7x + 5 - 5  > -23 - 5

7x > -28

\frac{7x}{7} > \frac{-28}{7}

x > -4

Answers:

x < \frac{18}{7} or x > -4

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first step to remove brackets

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