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2 years ago

Please Help me solve these problems.

Mathematics

1 answer:

Harman [31]2 years ago

5 0

Which question? The picture is black

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Solve (2/3)-(1/x)=5/6

Keith_Richards [23]

$\frac{2}{3} - \frac{1}{x} = \frac{5}{6}$ Multiply both sides by 3
$2 - \frac{1(3)}{x} = \frac{5(3)}{6}$ Simplify the numerators
$2 - \frac{3}{x} = \frac{15}{6}$ Multiply both sides by 6
$12 - \frac{3(6)}{x} = 15$ Simplify the numerator
$12 - \frac{18}{x} = 15$ Multiply both sides by x
12x - 18 = 15x Subtract 12x from both sides
-18 = 3x Divide both sides by 3
-6 = x Switch the sides to make it easier to read
x = -6

Check your answer by plugging -6 in for the x in the original problem:

$\frac{2}{3} - \frac{1}{x} = \frac{5}{6}$ Plug in -6 for x
$\frac{2}{3} - \frac{1}{-6} = \frac{5}{6}$ Change $\frac{2}{3}$ to $\frac{4}{6}$ so all denominators are the same
$\frac{4}{6} - \frac{1}{-6} = \frac{5}{6}$ Change $\frac{1}{-6}$ to $\frac{-1}{6}$ for easier work
$\frac{4}{6} - \frac{-1}{6} = \frac{5}{6}$ Subtract the numerators (4 - (-1) )
$\frac{5}{6}$ = $\frac{5}{6}$

So, x = -6 .

5 0

3 years ago

How do you work out 49.2 x 10.3

kirza4 [7]

You line 49.2
×10.3
---------
506.76

7 0

3 years ago

What is the slope intercept equation of the line (0,4) and (2.-2)

KonstantinChe [14]

Answer:

y= -3x + 4

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

You have 3/4 of a pie leftover after your party. Each guest takes home 1/6 of the leftover pie. What fraction of the original pi

Mazyrski [523]

What are you looking for how many they took or how many in total is left

7 0

3 years ago

Write the equation of a square root function that has the following graph.

Anastaziya [24]

9514 1404 393

Answer:

g(x) = √(x -5) +7

Step-by-step explanation:

To translate the graph of f(x) by h units horizontally and k units vertically, the function is transformed to ...

g(x) = f(x -h) +k

To translate f(x) = √x by 5 units horizontally and 7 units vertically, the function is transformed to ...

g(x) = √(x -5) +7

6 0

2 years ago