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LuckyWell [14K]
3 years ago
12

Solve this inequality: 3b – 7 < 32

Mathematics
2 answers:
IrinaVladis [17]3 years ago
7 0
Hello! So for this question, we need to get the number with the variable by itself. First, let's add 7 to cancel out -7. Add 7 to 32 to get 39. Then, we get 3b < 39. Now, divide each side by 3 to isolate the b. 39/3 is 13. There. b < 13. The answer is B.
gulaghasi [49]3 years ago
4 0
The answer is B, because if it were 13, the equation would be 39-7<32, which is not true, so it is less than 13, and therefore the answer is B.
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7 and 8 because 52 is between 49 and 64

Step-by-step explanation:

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Mrs. Kim is teaching a 5th grade class. She is standing 48 feet in front of Lester. Carey is sitting to Lester's right. If Carey
victus00 [196]

Lester and Carey are 14 feet apart

Step-by-step explanation:

Mrs. Kim is teaching a 5th grade class

  • She is standing 48 feet in front of Lester
  • Carey is sitting to Lester's right
  • Carey and Mrs. Kim are 50 feet apart

We need to find how far apart Lester and Carey

Look to the attached figure

The positions of Mrs. Kim, Lester, and Carey formed a right triangle

∵ The distance between Mrs. Kim and Carey is 50 feet

∴ The length of the hypotenuse of the Δ = 50 feet

∵ The distance between Mrs. Kim and Lester is 48 feet

∴ The length of one leg of the Δ = 48 feet

The formula of length of the sides of the right Δ is:

(hypotenuse)^{2}=(leg_{1})^{2}+(leg_{2})^{2}

Substitute the length of the hypotenuse and the length of the given leg in the formula above

∵ (50)² = (48)² + (leg)²

∴ 2500 = 2304 + (leg)²

- Subtract 2304 from both sides

∴ 196 = (leg)²

- Take square for both sides

∴ 14 = leg

∵ This leg represents the distance between Lester and Carey

∴ The distance between Lester and Carey = 14 feet

Lester and Carey are 14 feet apart

Learn more:

You can learn more about the right triangle in brainly.com/question/1238144

#LearnwithBrainly

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The answer is 117 degrees
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