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luda_lava [24]
3 years ago
5

If 6!+7!+8!=(n)(6!), then the value of n is A) 15 B)16 C)63 D)64 E)15!

Mathematics
1 answer:
gladu [14]3 years ago
6 0
6!+7!+8!=(n)(6!)
calculate the individual values first:
6!=720
7!=5040
8!=40320

plug them into the equation:
720+5040+40320=n720
solve for n
5760+40320=n720
46080=n720
divide both sides by 720 to isolate n
46080/720=n720/720
64=n
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five people, each working 8 hours a day, can assemble 400 toys in a five day work week. what is the average number of toys assem
vladimir1956 [14]

The question asks for the rate of toys per hour.

So we shall divide the total toys assembled by the total hours.

Its a five day week.

The number of hours allotted per day are 8.

So total allotted during the week are 8 × 5 = 40 hours.

Number of toys made during the week are 400.

Hence the number of toys assembled per hour per person

= number of toys / number of hours

= 400 / 40

= 10 toys per hour per person.

The average number of toys assembled per hour per person is 10.


8 0
3 years ago
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The product of two consecutive positive integers is 132. What are the integers?
alina1380 [7]

Answer:

The integers are 11 and 12

Step-by-step explanation:

11 and 12 are consecutive positive integers, and 11 x 12 = 132.

5 0
3 years ago
How many feet long is the shadow of a 15-foot flagpole if a 5-foot woman standing at the base of the flagpole has a shadow that
Vikentia [17]

The height of flagpole is 12.5 feet.

Step-by-step explanation:

Given,

Height of woman = 5 foot

Shadow of woman = 6 feet

Ratio of height to shadow = 5:6

Shadow of flagpole = 15 foot

Height of flagpole = x

Ratio of height to shadow = x:15

Using proportion;

Ratio of height to shadow :: Ratio of height to shadow

5:6::x:15\\

Product of mean = Product of extreme

6*x=15*5\\6x=75

Dividing both sides by 6

\frac{6x}{6}=\frac{75}{6}\\x=12.5

The height of flagpole is 12.5 feet.

Keywords: ratio, proportion

Learn more about proportion at:

  • brainly.com/question/9527422
  • brainly.com/question/9381523

#LearnwithBrainly

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4 0
3 years ago
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qwelly [4]

Answer:

True

Step-by-step explanation:

There are an odd number of negative signs (3)

If there is an odd number it is negative, but if it is even then the result will be positive

Here's a deeper explanation

-1 times -1 is simply 1

Then 1 times -1 is -1

Our final answer is -1 so this is true.

4 0
3 years ago
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