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slega [8]
3 years ago
11

Solve for u. 7/6=u+4/8 Simply the answer.

Mathematics
2 answers:
Katarina [22]3 years ago
7 0

Answer:

plz mark brainliest

Step-by-step explanation:

16/3 or 5 1/3

disa [49]3 years ago
4 0

Answer:

u=\frac{16}{3}

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS
  • Equality Properties

Step-by-step explanation:

<u>Step 1: Define</u>

<u />\frac{7}{6} =\frac{u+4}{8}<u />

<u />

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

  1. Cross-multiply:                    7(8)=6(u+4)
  2. Multiply:                               56=6(u+4)
  3. Distribute 6:                        56=6u+24
  4. Isolate <em>u</em> term:                     32=6u
  5. Isolate <em>u</em>:                              \frac{32}{6} =u
  6. Simplify:                               \frac{16}{3} =u
  7. Rewrite:                               u=\frac{16}{3}

<u>Step 3: Check</u>

<em>Plug in u into the original equation to verify it's a solution.</em>

  1. Substitute in <em>u</em>:                    \frac{7}{6} =\frac{\frac{16}{3} +4}{8}
  2. Add:                                     \frac{7}{6} =\frac{\frac{28}{3}}{8}
  3. Divide:                                 \frac{7}{6} =\frac{7}{6}

Here we see that 7/6 does indeed equal 7/6.

∴ u=\frac{16}{3} is a solution of the equation.

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lukranit [14]

Answer:

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Step-by-step explanation:

Let's start by using change of base property:

log_b(x)=\frac{log_a(x)}{log_a(b)}

So, for log_2(5)

log_2(5)=k=\frac{log(5)}{log(2)}\hspace{10}(1)

Now, using change of base for log_3_2(5)

log_3_2(5)=\frac{log(5)}{log(32)}

You can express 32 as:

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Using reduction of power property:

log_z(x^y)=ylog_z(x)

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Therefore:

log_3_2(5)=\frac{log(5)}{5*log(2)}=\frac{1}{5} \frac{log(5)}{log(2)}\hspace{10}(2)

As you can see the only difference between (1) and (2) is the coefficient \frac{1}{5} :

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\frac{log(5)}{log(2)} =k\\

log_3_2(5)=\frac{1}{5} \frac{log(5)}{log(2)} =\frac{1}{5} k

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3 years ago
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Answer: 2p+1.50=11.50

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<u>Step-by-step explanation:</u>

<em>Note: the tip is calculated on top of the total so this figure is a redherring</em>

<u>2 pancakes</u> <em>plus</em> <u>1 fruit cup</u> <em>equals</em> <u>total bill</u>

          2p       +        1.50          =         11.50

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<u>      - 1.50 </u> <u> - 1.50  </u>

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<u>÷2          </u>    <u> ÷2       </u>

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