What does 4/10 simplify to?

Answers

Answer 1
Answer: 4/10 = 2/5

When you divide both the numerator and denominator by 2 you will get a new fraction of 2/5. This fraction is in simplest form because you can't reduce it further.
Answer 2
Answer: 4/10=2/5 (simplify with 2)

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A camp ground consists of 12 square campsites arranged in a line along a beach. The distance from the edge of a campsite to the water at the end of the beach is 5 yards. The area of the campground, including the beach, is 1,248 square yards. What is the width of one campsite/

Answers

x=side length of a campsite
12x(5+x)=1248  because each campsite has a length of x and there are 12                           and from the top of the camp to the water is the 5 yds + a                             side length and LW=1248
60x+12x^2=1248
12x^2+60x-1248=0
x^2+5-14=0
(x+7)(x-2)=0
x+7=0 or x-2=0
x=-7 or x=2
x=2 because width can't be negative
the width of one campsite is 2 yds

Do linear relationships have a constant rate of change ​

Answers

Answer:

Yes my son they do so yeah

Step-by-step explanation:

Cuz I know

An amusement park charges a $3 rental fee $1.50 per hour to rent a stroller. Write an equation that represents the total cost, starting what your variables represent.

Answers

Answer:the equation is

y = 3x + 1.5

Step-by-step explanation:

Let x represent the number of hours for which the stroller was rented.

Let y represent the total cost of renting the stroller for x hours.

The amusement park charges a $3 rental fee $1.50 per hour to rent a stroller. It means that $1.50 is constant and the total cost vary with number of hours for which it was rented. Therefore, for x hours,

y = 3x + 1.5

Which angle corresponds to 1/6 of a circle?

Answers

Answer:

(1)/(6) of a circle makes 60° angle.

Step-by-step explanation:

There are 360° in one full rotation or we can say that one circle has 360 degrees.

If a circle has 360°, (1)/(6) of a circle is equal to

(1)/(6) × 360 = 60°

If you divide a circle into  6 equal parts each would be of 60°.

= 60 + 60 + 60 + 60 + 60 + 60 = 360

(1)/(6) of a circle makes 60° angle.

The angle that corresponds to 1/6  of a circle is 60 degrees

Which angle corresponds to 1/6 of a circle?

A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the center.

The distance between any point of the circle and the center is called the radius.

A full circle has an angle 360 degrees. The angle that  corresponds to 1/6 of a circle will be:

1/6 * 360 = 60 degrees

Therefore, the angle that corresponds to 1/6  of a circle is 60 degrees.

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The expression 4x gives the perimeter of a square with a side length of x units.What is the perimeter of a square with a side length of 5/7 units?

Answers

Answer:

The perimeter is (20)/(7) units.

Step-by-step explanation:

The expression 4x gives the perimeter of a square with a side length of x units.

So the function would be,

f(x)=4x

where,

f(x) is the function which gives the perimeter of the square, x as the side length.

As have to find the perimeter of a square with side length as (5)/(7), so we have to put x as (5)/(7) in the function.

Hence, the perimeter will be,

f((5)/(7))=4((5)/(7))=(20)/(7) units

4x where x = 5/7

=4 * 5/7

= 20/7

= 14/7 + 6/7

= 2   6/7

What fraction of all the 10-digit numbers with distinct digits have the property that the sum of every pair of neighboring digits is odd?

Answers

The fraction of all the 10-digit numbers with distinct digits that have the property that the sum of every pair of neighboring digits is odd is 1/126.

What is a fraction?

A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.

We have two types of fractions.

Proper fraction and improper fraction.

A proper fraction is a fraction whose numerator is less than the denominator.

An improper fraction is a fraction where the numerator is greater than the denominator.

Example:

1/2, 1/3 is a fraction.

3/6, 99/999 is a fraction.

1/4 is a fraction.

We have,

For a 10-digit number to have the property that the sum of every pair of neighboring digits is odd, the digits must alternate between odd and even numbers.

Specifically, if the firstdigit is odd, then the second digit must be even, the third digit must be odd, the fourth digit must be even, and so on.

If the firstdigit is even, then the second digit must be odd, the third digit must be even, the fourth digit must be odd, and so on.

There are 5 odd digits and 5 even digits, so there are 5 choices for the first digit. After selecting the first digit, there are 5 choices for the second digit (it must be one of the other type), 4 choices for the third digit (it must be the opposite type of the second digit), 4 choices for the fourth digit (it must be the opposite type of the third digit), and so on.

Therefore, the number of 10-digit numbers with distinct digits that have the given property is:

5 x 5 x 4 x 4 x 3 x 3 x 2 x 2 x 1 x 1 = 5! x 4!

where the factorials arise from the number of choices for each digit.

The totalnumber of 10-digit numbers with distinct digits is:

10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 10!

Therefore, the fraction of all the 10-digit numbers with distinct digits that have the given property is:

(5! x 4!) / 10! = (5! x 4!) / (10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1) = 1/126

Thus,

The fraction of all the 10-digit numbers with distinct digits that have the property that the sum of every pair of neighboring digits is odd is 1/126.

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Answer:

1/126

Step-by-step explanation:

Answer attached, I hope this is the answer.

the sum of every pair of neighboring digits is odd must be odd number and even number in the neighbor. (different parity)