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dusya [7]
2 years ago
14

There is a number that is three-fifths the total of the other number. When four is added to one of the numbers their sum will be

equal to the other number. There are two pairs of numbers that satisfy these descriptions. What are they?
Mathematics
1 answer:
gogolik [260]2 years ago
6 0

Answer:

-10, -6

6, 10

Step-by-step explanation:

Let the one number be x.

One number is 3/5 of the other number.

The numbers are x and 3x/5.

Add 4 to one number, the sum equals the other number.

There are two possibilities.

A) x + 4 = 3x/5

B) 3x/5 + 4 = x

Solve A)

5x + 20 = 3x

2x = -20

x = -10

Solve B)

3x + 20 = 5x

2x = 20

x = 10

According to A)

x = -10

3x/5 = -6

According to B)

x = 10

3x/5 = 6

Answer:

-10, -6

6, 10

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It takes 1.7 x 10 ^4 for light from the sun to reach the comet.

<h3>How do scientific notations work?</h3>

The number is written in the form  a \times 10^b where we have 1 \leq a < 10

Scientific notations have some of the profits as:

Better readability due to compact representation

Its value in terms of the power of 10 is known, which helps in the easy comparison of quantities differing by a large value.

A comet is about  5.1 \times 10 ^9 km from the sun.

Light travels at about 3.0 \times 10 ^5 km per second.

\dfrac{5.1 \times 10 ^9}{3.0 \times 10 ^5}

= 1.7 \times 10 ^4

Hence, It takes 1.7 x 10 ^4 for light from the sun to reach the comet.

Learn more about scientific notation here:

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4 0
2 years ago
What pattern exists in the three places in each period?
alukav5142 [94]

Answer:

  • the pattern is (hundreds, tens, ones)
  • 963 thousand 104

Step-by-step explanation:

a) Each place in our decimal place-value number system has a name. In the number 356,039, the left-most digit 3 is in the hundred-thousands place, so it is read (by itself) as "three hundred thousand." Together, the digits 356 of that number signify three hundred fifty-six thousand. They are said to be in the "thousands period." Each period of three digits will be grouped like that to specify the number of hundreds, tens, and ones in the period.

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b) The given expanded form adds up to give ...

  963,104

Based on the above discussion, the name of this number is ...

  "nine hundred sixty-three thousand one hundred four"

Using digits to help write this, it would be 963 thousand 104.

3 0
3 years ago
he puppy weighed 2 pounds when it was born. He has gained weight, but still weighs less than 11 pounds. How much weight could he
Vikentia [17]

Answer:

n=9

Step-by-step explanation:

just did it

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2 years ago
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bekas [8.4K]
Option 3 is the answer
7 0
3 years ago
An exam consists of 50 multiple choice questions. Based on how much you studied, for any given question, you think you have a pr
astraxan [27]

Answer: (a) mean = 32.00

(b)Standard error = 0.068

It is expected that the shape will approximately large because n is large.

(c)P(z< 0.60)= 0

Step-by-step explanation:

a. Mean = nP= 0.64× 50 = 32.00(2dp)

P= 0.64

b. Standard error = √ p(1-p)/n

= √0.64(0.36)/50

= 0.068(3dp)

c. Using P(Z<X - U/S)

Where S = standard error

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(c)P(z< 0.60)=

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= 0.

3 0
3 years ago
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