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3 years ago

Write greatest unit fractions that are repeating decimals. Then express each fraction as a decimal.

1 answer:

7 0

Our repeating decimal would be= 0.5555….
Let’s give 0.5555….. repeating decimal a variable of x:
x= 0.5555…. or 0.5(move 1 point to the right)
So ,10x = 5.5555 or 5.5

Now, Let’s do subtraction:
10x = 5.5555… or 5.5
- x = 0.5555… or 0.5
9x = 5.0 or 5.0

To get a fraction, provide a denominator the same with the numerator of variable x which is 9. Then divide the difference:
9x = 5.0
9 9 Therefore, x = 5
 9

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3 years ago

Read 2 more answers

For what values of x will the function f(x) = 3x² + 13x - 10 equal zero?

Oduvanchick [21]

Answer:

x = - 5 , x = $\frac{2}{3}$

Step-by-step explanation:

the values of x that make f(x) zero are the zeros

to find the zeros let f(x) = 0 , that is

3x² + 13x - 10 = 0

consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 3 × - 10 = - 30 and sum = + 13

the factors are + 15 and - 2

use these factors to split the x- term

3x² + 15x - 2x - 10 = 0 ( factor the first/second and third/fourth terms )

3x(x + 5) - 2(x + 5) = 0 ← factor out (x + 5) from each term

(x + 5)(3x - 2) = 0

equate each factor to zero and solve for x

x + 5 = 0 ⇒ x = - 5

3x - 2 = 0 ⇒ 3x = 2 ⇒ x = $\frac{2}{3}$

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2 years ago

Use your knowledge of the process of "Writing an equation given two points" to solve the following problem: A vendor has learned

nydimaria [60]

Answer: Our required linear equation would be $x+48y=148$

Step-by-step explanation:

Since we have given that

Cost of deep fried bananas on a stick = $1.00

Number of sales reached = 100 per day

Cost of deep fried bananas on a stick becomes = $2.00

Number of sales reached = 52 per day.

Let x is the number of dollars each.

Let y be the number of vendors sale.

So, we need to form the linear equation:

As we know the formula for two point slope form:

$y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)\\\\y-1=\dfrac{2-1}{52-100}(x-100)\\\\y-1=\dfrac{1}{-48}(x-100)\\\\-48(y-1)=(x-100)\\\\-48y+48=x-100\\\\-48y=x-100-48\\\\-48y=x-148\\\\x+48y=148$

Hence, our required linear equation would be $x+48y=148$

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3 years ago

HELP What is the approximate volume of a cone with a height of 12 in. And a radius of 9in.?

Lunna [17]

$SURFACE \: \: AREA \: \: AND \: \: VOLUMES \\ \\ \\\\Volume \: \: of \: \: cone \: \: = \: \: \frac{1}{3} \pi {r}^{2} h \\ \\ \\ We \: are \: given \: that \: \: - \: \: \: \\ \: \: \\ \: Radius \: = \: 9 \: \: in. \\ \\ \: Height \: = \: 12 \: \: in. \\ \\ \: \: \: \pi \: = \: 3.14 \\ \\ Volume \: \:of \: \: Cone \: \: = \: \: \frac{1}{3} \times 3.14 \times 9 \times 9 \times 12 \\ \\ \\ Volume \: \: of \: \: Cone \: \: = \: \: 1017.36 \: {in.}^{3}$

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3 years ago

Jim wanted to find out what the audience thought about the debate. After the event, Jim stood at the exit to survey every fifth

balu736 [363]

Answer: D. This was a random sample. It may have included anyone in attendance.

Step-by-step explanation:

The options are:

A. This was a biased sample. Jim should interview all in attendance.

B. This was a census. Any guest may have participated.

C. This was a random sample. It may not have included anyone in attendance.

D. This was a random sample. It may have included anyone in attendance.

A random sampling is simply referred to as a subset of individuals that are picked from a larger set of individuals.

With regards to the question, Jim wanted to find out what the audience thought about the debate and after the event, he stood at the exit to survey every fifth guest.

This means that it was a random sampling and anyone could have been picked, the sampling wasn't bias.

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3 years ago