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2 years ago

1.0.2217.9-(4.1 + 1.8)] -0.22+ [7.9 - 0.224

Mathematics

1 answer:

snow_lady [41]2 years ago

4 0

Answer:

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Step-by-step explanation:

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Write 6^8 • 6^7 as a single power

taurus [48]

<h3>Write 6^8 • 6^7 as a single power:</h3>

$6^8 \times 6^7 = 6^{15}$

Solution:

Given that,

We have to write 6^8 • 6^7 as a single power

Given is:

$6^8 \times 6^7$

Use the following law of exponent

$a^m \times a^n = a^{m+n}$

When, the base is same, powers gets added

Therefore,

$6^8 \times 6^7 = 6^{8+7}\\\\6^8 \times 6^7 = 6^{15}$

Thus the given is written as a single power

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2 years ago

The first gardener can finish the job in 6 hours, and the second gardener can do the same job in 7 hours. How long it will take

marissa [1.9K]

If the first gardener can finish the job in 6 hours, it means that every hour he completes 1/6 of the job.

By the same logic, the second gardener completes 1/7 of the job per hour.

So, if they work together, they complete

$\dfrac{1}{6}+\dfrac{1}{7}=\dfrac{7+6}{42}=\dfrac{13}{42}$

of the job per hour.

So, after 42/13 of a hour, they'll complete the job. Since one hour is made of 60 minutes, 42/13 of a hour is

$\dfrac{42}{13}\cdot 60 \approx 194$

So, it will take them about 194 minutes to finish the job, i.e. about 3 hours and 14 minutes.

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3 years ago

The discount price of a pair of pants is $42. What is the regular price?

maks197457 [2]

What is the discount percentage

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2 years ago

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If 20+20 is 40 percent what is 20 of half percent.

hichkok12 [17]

I don’t know if this is correct: 40%

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2 years ago

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Write a rule for the nth term of the arithmetic sequence: a11= 50, d = 7

ivolga24 [154]

Answer:

Required rule for $n^{th}$ is $a_{n}=7n-27$ .

Step-by-step explanation:

Given that,

$a_{11} = 50,\ \ d=7$

From the question: we have to write the $n^{th}$ term of Arithmetic sequence.

Arithmetic Sequence or Arithmetic progression (A.P) : It is a sequence which possess that difference between of two successive sequence is always constant.

$a_{1} ,a_{2},a_{3},a_{4}.....................a_{n-1},a_{n}$

where, $a_{1}$ is the first term of A.P

$d$ is the common difference.

$a_{n}$ is the last term or general term.

The above sequence to be in A.P then their common difference should be equal.

$d=a_{2}-a_{1} =a_{3}-a_{2}=a_{4} -a_{3} ..........................a_{n}-a_{n-1}$

Now, Formula of General Term is $a_{n}=a+(n-1)d$

So, $a_{11}= a+(11-1)d\\ a_{11} = a+10d$

Substituting the value of $a_{11} = 50,\ \ d=7$ we get,

$50=a+10\times7\\50=a+70\\a=-20$

Then General term ( $a_{n}$ ) of given data is

$a_{n}=-20+(n-1)7\\a_{n}=-20+7n-7\\a_{n}=7n-27$

Therefore, Required rule for $n^{th}$ is $a_{n}=7n-27$ .

5 0

3 years ago

1.0.2217.9-(4.1 + 1.8)] -0.22+ [7.9 - 0.224​

1.0.2217.9-(4.1 + 1.8)] -0.22+ [7.9 - 0.224