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3 years ago

14

Divide. Write each quotient in simplest form. 2/3 ÷ 2 = _____ Show step-by-step solution.

1 answer:

never [62]3 years ago

4 0

The answer is $\frac{1}{3}$

$\frac{2}{3}$ ÷ 2 = $\frac{2}{3}$ ÷ $\frac{2}{1}$

If $\frac{a}{b}$ ÷ $\frac{c}{d}$ = $\frac{a*d}{b*c}$ , then:
$\frac{2}{3}$ ÷ $\frac{2}{1}$ = $\frac{2*1}{3*2}$

Now, 2 can be canceled out from $\frac{2*1}{3*2}$ :
$\frac{2*1}{3*2}= \frac{1}{3}$

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3 years ago

The area of a rectangle is 30 + 12x. List at least 3 possibilities for the length and width of the rectangle.

Gala2k [10]

Answer:

Below in bold.

Step-by-step explanation:

Area = 30 + 12x and area is also = to width * length so we need to look for factors of 30 + 12x.

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3 years ago

Write an inequality for x that would give this rectangle a perimeter of at least 300ft

Travka [436]

Answer:

The inequality for $x$ is:

$x\geq 142$

Step-by-step explanation:

Given:

Width of rectangle = 3 ft

Height or length of rectangle = $(x+5)$ ft

Perimeter is at least 300 ft

To write an inequality for $x$ .

Solution:

Perimeter of a rectangle is given as:

⇒ $2l+2w$

where $l$ represents length of the rectangle and $w$ represents the width of the rectangle.

Plugging in the given values in the formula, the perimeter can be given as:

⇒ $2(x+5)+2(3)$

Using distribution:

⇒ $2x+10+6$

Simplifying.

⇒ $2x+16$

The perimeter is at lest 300 ft. So, the inequality can be given as:

⇒ $2x+16\geq 300$

Solving for $x$

Subtracting both sides by 16.

⇒ $2x+16-16\geq 300-16$

⇒ $2x\geq284$

Dividing both sides by 2.

⇒ $\frac{2x}{2}\geq \frac{284}{2}$

⇒ $x\geq 142$ (Answer)

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4 years ago

A linear function is written:<br> f(x) = 3/2x-4<br> What is the value of f(5)?

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Answer:

$f(5)=3.5$

Step-by-step explanation:

$f(x)=\frac{3}{2}x-4\\f(5)=\frac{3}{2}(5)-4\\f(5)=7.5-4\\f(5)=3.5$

Hope this helped!! Have an amazing day :D

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3 years ago

The table shows ordered pairs for a polynomial function, f. What is the degree of f?

Kazeer [188]

Answer:

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Step-by-step explanation:

To solve this problem/table, you have to find the differences in the f(x) side of the table until the differences between the numbers are the same, and then you have your degree. Look at the image attached for more sense

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3 years ago