why do some fractions convert to terminating decimals, while others repeat.

Hello again!

[tex]8 - 5(12x + 8)[/tex]

Explanation:

↓↓↓↓↓↓↓↓↓↓↓

First you had to expand.

[tex]-5(12x+8):-60x-40[/tex]

[tex]8-60x-40[/tex]

Simplify it should be the correct answer.

[tex]8-60x-40:-60x-32[/tex]

[tex]=-60x-32[/tex]

Answer⇒⇒⇒⇒=-60x-32

Hope this helps!

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Have a great day!

-Charlie

Hey there!!

Given equation :

... 8 - 5 ( 12x + 8 )

Using the distributive property :

... 8 - 60x - 40

Combining like terms :

... -32 - 60x ( This is the final answer ).

Hope my answer helps!!

here! y-intercept at -3.6 and x-intercept at 4.5

x + 4x = 5x

90/5 = 18

x = 18

4x = 72

the answer is 763 because 763 - 763 = 0

I don't want to sound rude here or anything but common sense would tell you it's 763. If you read and understand the problem it would be easy. Also if you add 763 to 0 you would get itself. Its just asking you to subtract 763 from itself. hope this helps!! :)

Answer:

18 Tala.

Step-by-step explanation:

1. You have that Ming learned that the exchange rate is 6 Tala for $2. Therefore, if she exchanged $6, she would get:

[tex]\frac{6}{2}=\frac{x}{6}[/tex]

2. Now, you must solve for [tex]x[/tex], which is sthe amount of Tala:

[tex]x=\frac{(6)(6)}{2}\\x=\frac{36}{2}\\x =18[/tex]

3. Therefore, she would get 18 Tala.

The first one,

[tex]a=1\times a[/tex]  is the multiplicative identity property.

The identity element of multiplication of real numbers is 1.

This means that if you multiply any real number [tex]a[/tex] by [tex]1[/tex] you get the same real number.

The second one,

[tex]3-3x=3(1-x)[/tex] is the distributive of property of multiplication over subtraction.

Answer:

a = 1a ---> multiplicative identity property of 1

3 - 3x = 3 (1 - x) ---> distributive property of multiplication (over subtraction)

Step-by-step explanation:

a = 1a holds the the multiplicative identity property of 1.

This property of identity states that whenever you multiply any number with 1, the result is same as the original number. It means that 1 has no effect when multiplied with any number.

3 - 3x = 3 (1 - x) holds the distributive property of multiplication (over subtraction)

This distributive property is used to multiply a single term with two or more terms inside the brackets or you can say the equations which are in the form a (b + c).

Its main purpose is to expand the terms by first multiplying each term inside the bracket with the term outside the term and then adding/subtracting the like terms together.

Answer:

It is given that by using 2,4,6,8 once and any operation and brackets we have to make two equations which is equal to 24.

1. [8×6]÷(4-2)=48÷2=24 [ First multiplied 8 and 6 keeping them in a bigger bracket then divided by (4-2=2) by keeping it in a single smaller bracket.

2. [8×4]- (6+2)=32 -8=24 [Multiply 8 and 4 and then subtract (6+2=8) from it.This is equal to 24.

These are the two equations that i wrote for you , you can find many more by yourself.

In the Quadratic Formula, the expression underneath the radical symbol determines the number and type of solutions the formula will reveal. This expression, b2 – 4ac, is called the discriminant of the equation ax2 + bx + c = 0.

if you mean this, then  [tex]ax^{2} + bx + cx = 0[/tex]

if you mean this, then  [tex]x = \frac{-b±\sqrt{b^{2} - 4 (a) (c) } }{2(a)}[/tex] *ignore the a thingy in between the -b and ±

hope this helps! ❤ from peachimin

Remark

All you need do is subtract the beginning amount from the ending amount

Givens

Ending Amount (E) = 3.56

Beginning Amt (B) = 2.95

Amt Added (A) =         ?

Solution

A = E - B                 Substitute values

A = 3.56 - 2.95      Combine Like terms on the left

A = 0.61 mL           Answer

x^2-25 would be your answer

use the FOIL method: First, Outer, Inner, Last.

first: x*x = x^2

outer: x*-5 = -5x

inner: 5*x = 5x

last: 5*-5 = -25

put together: x^2 - 5x + 5x - 25

simplify: x^2 - 25

Where are the images?

i believe the formula you need is; SA= n(3/10 ib) + 9b

-30 feet

below meaning negative.

the answer would be -30 because its below the sea level if it was positive

it would say above sea level and that would be positive 30

but in this case its -30

question answered by

(jacemorris04)

The formula of a midpoint:

[tex]M_{AB}\left(\dfrac{x_A+x_B}{2},\ \dfrac{y_A+y_B}{2}\right)[/tex]

We have:

[tex]A(-1,\ 4)\to x_A=-1,\ y_A=4\\M(5,\ 4)\to x_M=5,\ y_M=4[/tex]

Substitute:

[tex]\dfrac{-1+x_B}{2}=5\qquad|\cdot2\\\\-1+x_B=10\qquad|+1\\\\x_B=11\\\\\dfrac{4+y_B}{2}=4\qquad|\cdot2\\\\4+y_B=8\qquad|-4\\\\y_B=4[/tex]

Answer:

Mr. Aroxa is correct.

Step-by-step explanation:

Since we know that polynomials are closed under addition, subtraction and multiplication as when we will add, subtract or multiply two polynomials we will get a polynomial.

Polynomials are not closed under division because division of two polynomials is not necessarily a polynomial.

We can see it by dividing a binomial by a trinomial. This division will result in a rational expression and it will have negative exponent. Negative exponents are not allowed in polynomials.

Therefore, Mr. Aroxa is correct.

Rational although it does repeat it is considered rational numbers that are 0 and are fractions are not considered rational such as square roots too.

Here is some helpful information: Also any decimal number that is repeating can be written in the form a/b with b not equal to zero so it is a rational number.

With out any functions to choose from...this is difficult.  But look for the equation that has a a decimal raised to a power (.07)^2

Answer:

f(x)=2(2/3)x

Step-by-step explanation:

compared to all of the other answers, 2/3 is the only one between 0-1 for the exponential decay.

Plug in each number in the set of x for x to get the set for y

y = x + 5

When x = 0, y = 5

5 = 0 + 5

When x = 1, y = 6

6 = 1 + 5

When x = 2, y = 7

7 = 2 + 5

When x = 3, y = 8

8 = 3 + 5

When x = 4, y = 9

9 = 4 + 5

y = 5, 6, 7, 8, 9

~Rise Above the Ordinary

The answer would be: If Leo has d dollars, then dale has 2d+3 dollars.

Hope this helps!

Answer:

Option b)  If Leo has d dollars, then Dale has 2d + 3 dollars.  

Step-by-step explanation:

We are given the following information in the question:

Let Leo has d dollars.

It is given Dale has three dollars more than twice the money Leo has.

Thus, according to the question Dale's money can be expressed with the help of an equation:

[tex]\text{Dale's money} = 3 + 2\times \text{Leo's money}\\\text{Dale's money} = 3 + (2\times d) = 3 + 2d[/tex]

Thus, option b) is the correct representation of Dale's money.

If Leo has $d, the, Dale have $(3 + 2d).

A fact family is a group of math facts using the same numbers.

Example:

Using the numbers: 5, and 2,

5 ∙ 2 = 10

2 ∙ 5 = 10

10 ÷ 2 = 5

10 ÷ 5 = 2

A fact family is a set of related math facts using the same numbers to show the relationship between addition and subtraction or multiplication and division.

Definition of a Fact Family

A fact family in mathematics consists of a group of related math facts that use the same set of numbers. Specifically, in the context of addition and subtraction or multiplication and division, fact families demonstrate the relationship between these operations. For example, with the numbers 2, 4, and 6, a fact family would include the following equations: 2 + 4 = 6, 4 + 2 = 6, 6 - 2 = 4, and 6 - 4 = 2. Each pair of arithmetical operations, being related by inverse functions, create the concept of a fact family, illustrating how numbers and operations are interconnected.

CF + FE = CE.  Since F is the midpoint, then CF = FE, So, CF + CF = CE ⇒ 2CF = CE

Now, set up the proportion:

[tex]\frac{BF}{CF} = \frac{AE}{CE}[/tex]

[tex]\frac{23}{CF} = \frac{5x - 4}{2CF}[/tex]    substituted known values

23(2CF) = CF(5x - 4)   cross multiplied

23(2) = 5x - 4      divided both sides by CF

46 = 5x - 4    simplified

50 = 5x         added 4 to both sides

10 = x           divided both sides by 5

Answer: 10

This is a proportion, once you set it up (the hard part) the calculations are easy.

[tex]\frac{21.6mi}{1gal} = \frac{x}{6.2gal}[/tex]

Now, just cross multiply

x = 133.92 mi

Cheryl travel 133.92 miles on 6.2 gallon of gas if Cheryl can travel 21.6 miles on one gallon of gas.

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

We have:

Cheryl can travel 21.6 miles on one gallon of gas.

Let's suppose Cheryl travel x miles on 6.2 gallon of gas.

x = 6.2×21.6 = 133.92 miles

Thus, Cheryl travel 133.92 miles on 6.2 gallon of gas if Cheryl can travel 21.6 miles on one gallon of gas.

Learn more about the fraction here:

brainly.com/question/1301963

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Rosa drove 490 miles on 20 - 6 gallons of gasoline, or 14 gallons. Dividing 490 by 14 will give you your answer: 35. Rosa's car can drive 35 miles for every gallon of gasoline.

Answer: Rosa drove 490 miles on 20 - 6 gallons of gasoline, or 14 gallons. Dividing 490 by 14 will give you your answer: 35. Rosa's car can drive 35 miles for every gallon of gasoline.

Step-by-step explanation: I hope this helps!

cats = dogs + 37

dogs = cats - 37

78 - 37 = 41 (dogs)

f(n) = f(n - 1) - 5

f(1) = 2

f(2) = f(2 - 1) - 5 = 2 - 5 = -3

f(3) = f(3 - 1) - 5 = f(2) - 5 = -3 - 5 = -8

f(4) = f(4 - 1) - 5 = f(3) - 5 = -8 - 5 = -13

f(5) = f(5 - 1) - 5 = f(4) - 5 = -13 - 5 = -18

f(6) = f(6 - 1) - 5 = f(5) - 5 = -18 - 5 = -23

Answer:  The required quantity of garlic used is 0.67 cloves.

Step-by-step explanation:  Given that a bread recipe uses 3 tablespoons of olive oil for every 2 cloves of crushed garlic.

We are to find the quantity of garlic that is used for one tablespoon of olive oil.

We will be using the UNITARY method to solve the given problem.

We have

quantity of garlic that is used for 3 tablespoons of olive oil = 2 cloves.

So, the quantity of garlic that is used for 1 tablespoon of olive oil will be

[tex]\dfrac{2}{3}=0.6666....=0.67~\textup{cloves}.[/tex]

Thus, the required quantity of garlic used is 0.67 cloves.

Answer:

0 - 0.23 - 1.02 - 3/2 - 1.89 - 1.98 - 13/5

Step-by-step explanation:

We have to put the number in an increasin order:

0 - 0.23 - 1.02 - 3/2 - 1.89 - 1.98 - 13/5 or

0 - 0.23 - 1.02 - 1.5 - 1.89 - 1.98 - 2.6

Let the number be X

According to question

3 less than 3 times a number = 23 less than half the number

3X-3 = 1/2 X -23

3X - 1/2X = -23+3

Taking LCM

(6X-X)/2 =-20

5X = -20×2

5X = -40

X = -40/5

X= -8