3 years ago

What is the solution to the equation below? (round your answer to two decimal places)

Mathematics

1 answer:

lakkis [162]3 years ago

6 0

4 + 5 log5 x = 38
5log5 x = 38/4 = 9.5
log5 x = 9.5/5 = 1.9
x = 5^1.9
x = 21.28 to nearest hundredth

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In a school, there is a ratio of 4 boys to 5 girls. If there are a total of 450 students, how many girls are there? *

denpristay [2]

Answer: there are 200 girls in the school.

Step-by-step explanation:

In a school, there is a ratio of 4 boys to 5 girls. The total ratio would be the sum of the proportion of boys and the proportion of girls. Therefore,

Total ratio = 4 + 5 = 9

If there are a total of 450 students, it means that the number of girls in the school would be

Proportion of girls/ total ratio × total number of students. Therefore,

The number of girls is

5/9 × 450 = 200

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Read 2 more answers

Solve the given equation

AlexFokin [52]

Eliminate the fractions by multiplying by least common multiple.
4,9,12 all go into 36 evenly. Multiply entire equation by 36.

36/4 = 9
36/9 = 4
36/12 = 3

New equation looks like:
$9(w-1) +4(w+1) = -3(w+1) \\ \\ 9w -9 +4w +4 = -3w -3 \\ \\ 9w +4w+3w = -3 +9 -4 \\ \\ 16w = 2 \\ \\ w = \frac{2}{16} = \frac{1}{8}$