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2 years ago

Starting with x=4.62 repeating express x as a fraction in simplest form

1 answer:

5 0

$x=4.62=4+0.62=4+\dfrac{62}{100}=4+\dfrac{62:2}{100:2}=4+\dfrac{31}{50}\\\\\text{as a mixed number}\ 4\dfrac{31}{50}\\\\\text{as an improper fraction}\ \dfrac{4\cdot50+31}{50}=\dfrac{231}{50}$

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The sum of two numbers is 64 . the larger number is 18 more than the smaller number. what are the numbers?

-BARSIC- [3]

64-18 is 46
46/2 is 23
23+18 is 41

Your #s are 21 and 43

8 0

3 years ago

The height of a box that bill is shipping is 4 inches less than the width of the box. the length is 10 inches more than twice th

8090 [49]

This is the concept of algebra, let the width be x
height=x-4
length=2x+10
the volume of the box is:
volume=length*width*height
=x(x-4)(2x+10)
expanding the above we get:
(x^2-4x)(2x+10)
=x^2(2x+10)-4x(2x+10)
=2x^3+2x^2-40x=264
solving the above we get real solution will be
x=6
thus we conclude that the width is x=6 inches
length=2*6+10=22 inches
height=x-4=6-4=2 inches
thus the dimension will be:
width=6 inches, length=22 inches, height=2 inches

6 0

2 years ago

Read 2 more answers

Now we are testing to see whether taking a vitamin supplement each day has significant health benefits. There are no (known) har

ZanzabumX [31]

Answer:

Concluding that people should take vitamin supplement each day when they don't help.

Step-by-step explanation:

We are given the following in the question:

Hypothesis:

Taking a vitamin supplement each day has significant health benefits and does not have any harmful side effects.

Null hypothesis:

Taking a vitamin supplement each day does not have have significant health benefits.

Alternate hypothesis:

Taking a vitamin supplement each day have have significant health benefits.

Type I error:

It the error of rejecting the a true null hypothesis.

So error I for this situation would be concluding that people should take vitamin supplement each day when they don't help.

3 0

2 years ago

What is the rule for a geometric sequence whose first term is 6 and the common ratio is 2?

Shalnov [3]

Answer:

6/2

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Current rules for telephone area codes allow the use of digits 2-9 for the first digit, and 0-9 for the second and third dig

Anna35 [415]

Using the fundamental counting theorem, we have that:

648 different area codes are possible with this rule.
There are 6,480,000,000 possible 10-digit phone numbers.
The amount of possible phone numbers is greater than 400,000,000, thus, there are enough possible phone numbers.

The fundamental counting principle states that if there are p ways to do a thing, and q ways to do another thing, and these two things are independent, there are ways to do both things.

For the area code:

8 options for the first digit.
9 options for the second and third.

Thus:

$8 \times 9 \times 9 = 648$

648 different area codes are possible with this rule.

For the number of 10-digit phone numbers:

7 digits, each with 10 options.
648 different area codes.

Then

$648 \times 10^7 = 6,480,000,000
$

There are 6,480,000,000 possible 10-digit phone numbers.

The amount of possible phone numbers is greater than 400,000,000, thus, there are enough possible phone numbers.

A similar problem is given at brainly.com/question/24067651

5 0

2 years ago