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3 years ago

What is bigger 5/12 or 4/7

Mathematics

1 answer:

nikdorinn [45]3 years ago

3 0

Answer:

4/7

Step-by-step explanation:

Given 5/12 and 4/7

we see that a common denominator for both fractions could be 12 x 7 = 84, hence we can express both fractions with a denominator of 84

5/12 = (5/12) x (7/7) = 35/84

4/7 = (4/7) x (12/12) = 48/84

now comparing 35/84 and 48/84, we can see that 48/84 is larger, which corresponds to 4/7, hence 4/7 is larger

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1/10, 3/20, 5/30, 7/40 arithmetic sequence geometric sequence neither

Zina [86]

If a, b, c is an arithmetic sequence then a + c = 2b

a = 1/10; b = 3/20, c = 5/30

a + c = 1/10 + 5/30 = 3/30 + 5/30 = (3+5)/30 = 8/30
2b = 2 · 3/20 = 3/10 = 9/30

8/30 ≠ 9/30

If a, b, c is a geometric sequence then ac = b²

ac = 1/10 · 5/30 = 1/2 · 1/30 = 1/60
b² = (3/20)² = 9/400

1/60 ≠ 9/400

<span>Answer: Neither.</span>

3 0

3 years ago

5x+9=2x+7+3x-15

andrew11 [14]

Answer:

No Solutions

Step-by-step explanation:

Step 1:

5x + 9 = 2x + 7 + 3x - 15 Equation

Step 2:

5x + 9 = 5x - 8 Add and Subtract

Step 3:

9 = - 8 Subtract 5x on both sides

Answer:

9 ≠ - 8 9 cannot equal - 8

Hope This Helps :)

3 0

4 years ago

Read 2 more answers

Which equation represents a line which is perpendicular to the line y = -x + 8?

natima [27]

Two lines are perpendicular between each other if their slopes fulfills the following property

$m_1m_2=-1$

where m1 and m2 represents the slopes of line 1 an 2, respectively.

To find the slope of a line we can write it in the form slope-intercept form

$y=mx+b$

Our original line is

$y=-\frac{1}{8}x+8$

Then its slope is

$m_1=-\frac{1}{8}$

Now we have to find the slope of the second line. Using the first property,

$\begin{gathered} m_1m_2=-1_{} \\ -\frac{1}{8}m_2=-1_{} \\ m_2=(-1)(-8) \\ m_2=8 \end{gathered}$

Then the second line has to have a slope of 8.

The options given to us are:

$\begin{gathered} x+8y=8 \\ x-8y=-56 \\ 8x+y=5 \\ y-8x=4 \end{gathered}$

Then we have to determine which of these options have a slope of 8. To do that we write them in the slope-intercept form:

$\begin{gathered} x+8y=8\rightarrow y=-\frac{1}{8}x+1 \\ x-8y=-56\rightarrow y=\frac{1}{8}x+7 \\ 8x+y=5\rightarrow y=-8x+5 \\ y-8x=4\rightarrow y=8x+4 \end{gathered}$

Once we have the options in the right form, we note that the only one of them that has a slope of 8 is the last one.

Then the line perpendicular to the original one is