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deff fn [24]
3 years ago
13

Can ya'll help me with this 7r+8>64-r

Mathematics
1 answer:
ira [324]3 years ago
7 0

Answer:

r > 7

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

Step-by-step explanation:

<u>Step 1: Define inequality</u>

7r + 8 > 64 - r

<u>Step 2: Solve for </u><em><u>r</u></em>

  1. Add <em>r</em> to both sides:                    8r + 8 > 64
  2. Subtract 8 on both sides:           8r > 56
  3. Divide 8 on both sides:               r > 7

Here we see that any value <em>r</em> greater than 7 would work as a solution to the inequality.

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Some time ago , Keith's height and his nephew's height were at a ratio of 15:7. Then, Keiths height increased by 16% and his nep
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Answer:

The answer is below

Step-by-step explanation:

The ratio of Keith's height and his nephew's height is 15:7. Let keith height be x cm and his nephews height be y cm.

\frac{x}{y}=\frac{15}{7}  \\x=\frac{15}{7}y

Keiths height increased by 16% , therefore Keith new height is (100% + 16%) × x = 1.16x

The nephew height is doubled, therefore his new height is 2y.

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1.16x = 2y + 34

but x = (15/7)y

1.16(\frac{15}{7} )y=2y+34\\\\\frac{87}{35} y=2y+34\\\\\frac{87}{35} y-2y=34\\\\\frac{17}{35}y=34\\ \\y=\frac{34*35}{17}\\ \\y=70\ cm

The nephews new height = 2y = 2(70) = 140 cm

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