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2 years ago

Tell whether each equation has one, zero, or infinitely many solutions.5(x - 3) +6= 5x - 9

Mathematics

1 answer:

ollegr [7]2 years ago

3 0

5(x - 3) +6 = 5x - 9 has infinitely many solutions

<h3><u>Solution:</u></h3>

Given equation is 5(x - 3) +6 = 5x - 9

We have to find whether the given equation has one, zero, or infinitely many solutions

Let us solve the given equation

5(x - 3) + 6 = 5x - 9

Let us use BODMAS rule to solve the given equation

According to Bodmas rule, if an expression contains brackets ((), {}, []) we have to first solve or simplify the bracket followed by of (powers and roots etc.), then division, multiplication, addition and subtraction from left to right

So let us first solve for brackets in given equation

5x - 15 + 6 = 5x - 9

5x - 9 = 5x - 9

0 = 0

Since the statement is true, there are infinitely many solutions

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32 lb 12 ounces equals in pounds

Radda [10]

Answer:

32 3/4 lb

Step-by-step explanation:

32 lb 12 oz = ? lb

Rewrite 12 oz as (12/16) lb.

Then:

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3 years ago

In an arithmetic sequence, the nth term an is given by the formula an=a1+(n−1)d, where a1 is the first term and d is the commo

Dmitry_Shevchenko [17]

Answer:

$a_{10} = \frac{10}{65536}$

Step-by-step explanation:

The first step to solving this problem is verifying if this sequence is an arithmetic sequence or a geometric sequence.

This sequence is arithmetic if:

$a_{3} - a_{2} = a_{2} - a_{1}$

We have that:

$a_{3} = 40, a_{2} = 10, a_{3} = \frac{5}{2}$

$a_{3} - a_{2} = a_{2} - a_{1}$

$\frac{5}{2} - 10 = 10 - 40$

$\frac{-15}{2} \neq -30$

This is not an arithmetic sequence.

This sequence is geometric if:

$\frac{a_{3}}{a_{2}} = \frac{a_{2}}{a_{1}}$

$\frac{\frac{5}[2}}{10} = \frac{10}{40}$

$\frac{5}{20} = \frac{1}{4}$

$\frac{1}{4} = \frac{1}{4}$

This is a geometric sequence, in which:

The first term is 40, so $a_{1} = 40$

The common ratio is $\frac{1}{4}$ , so $r = \frac{1}{4}$ .

We have that:

$a_{n} = a_{1}*r^{n-1}$

The 10th term is $a_{10}$ . So:

$a_{10} = a_{1}*r^{9}$

$a_{10} = 40*(\frac{1}{4})^{9}$

$a_{10} = \frac{40}{262144}$

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$a_{10} = \frac{10}{65536}$

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3 years ago

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3 years ago

Laura walked 612 laps of a circular path in 2 hours. At that rate, how many laps of the path did she walk in one hour? PLz help

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Answer:

The answer is 3 1/4

Step-by-step explanation:

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7 0

3 years ago

Read 2 more answers

Pamela is making pizzas. She has 112 pieces of pepperoni. She uses 29 pieces of pepperoni on the first pizza. If she uses the sa

Svetllana [295]

Answer:

Step-by-step explanation:

Number of pieces of pepperoni available with Pamela = 112

Number of pieces of pepperoni used in one pizza = 29

Now, number of pepperoni left after using 29 in one pizza = 112 - 29 = 83

Now, Pamela makes second pizza, so again 29 pieces of pepperoni area used.

Now, number of pepperoni left after using 29 in one pizza = 83 - 29 = 54

Now, Pamela makes third pizza, so again 29 pieces of pepperoni area used.

Now, number of pepperoni left after using 29 in one pizza = 54 - 29 = 25

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3 years ago

Tell whether each equation has one, zero, or infinitely many solutions.5(x - 3) +6= 5x - 9​

Tell whether each equation has one, zero, or infinitely many solutions.5(x - 3) +6= 5x - 9