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IgorLugansk [536]
3 years ago
5

Megan baby-sat this weekend. She earned $12 an hour plus an additional $32. If she made a total of $140, how long did she work?

Mathematics
2 answers:
Hunter-Best [27]3 years ago
6 0

Answer:

9 hours

Step-by-step explanation:

12x+32=140

so

140-32=108

108/12= 9

x=9

german3 years ago
3 0

Answer:

9 hours I think

Step-by-step explanation:

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This means that 10% of the total number of chickens Cam has is 11. If 10% of a number is 11, 100% of the chickens should be 110.
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Can someone please help me with this? I keep getting half of the answer and I'm doing everything right. ------------------------
serg [7]

9514 1404 393

Answer:

  a. x, x+2, x+4

  b. 10 ≤ 3x+6 ≤ 24

  c. 6 ft, 8 ft, or 10 ft

Step-by-step explanation:

<u>Given</u>:

  • The lengths of the sides of a certain triangle, in feet, are consecutive even integers.
  • The perimeter of this triangle is between 10 feet and 24 feet inclusive.

<u>Find</u>:

  a. Using one variable, write three expressions that represent the lengths of the three sides of the triangle.

  b. Write a compound inequality to model this problem.

  c. Solve the inequality. List all possible lengths for the longest side of the triangle.

<u>Solution</u>:

You have let x represent the shortest side. (Note that the question asks for the length of the longest side.)

a. The expressions for side lengths can be x, x+2, x+4 when x is the shortest side.

__

b. Here is the compound inequality

  10 ≤ x+(x+2)+(x+4) ≤ 24

__

c. Here is the solution

  10 ≤ 3x+6 ≤ 24 . . . . collect terms

  4 ≤ 3x ≤ 18 . . . . . . . subtract 6

  4/3 ≤ x ≤ 6 . . . . . . . . divide by 3

<em>Your working is correct, but incomplete</em>. The values of interest are the even integers x+4.

  5 1/3 ≤ x+4 ≤ 10

The longest side may be 6 ft, 8 ft, or 10 ft.

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3 years ago
The steps below show the incomplete solution to find the value of x for the equation 5x – 3x – 5 = –3 + 23:
kicyunya [14]
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2 years ago
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Solve for x. <br><br> −13x≤−6
AfilCa [17]
<span><span>−<span>13 x </span></span>≤ <span>− 6

</span></span>Step 1: Divide both sides by -13.

<span><span><span>−<span>13x/</span></span><span>−13 </span></span>≤ <span><span>−6/</span><span>−13</span></span></span><span>x ≥ <span>6/<span>13</span></span></span>
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3 years ago
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