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3 years ago

Write the ratio 2/3 to 8 as a fraction in simplest form

Mathematics

1 answer:

Nitella [24]3 years ago

8 0

Answer:

112 or 1 to 12

Explanation:

The ratio is

238=23⋅8=224= 1/12

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Question is below help needed

RoseWind [281]

The common ratio of both the formulas is 3 and 2. The first formula is explicit and the second is the recursive formula.

<h3>What is the recursive rule?</h3>

A rule is defined such that its definition includes itself.

The given sequence is

-2, -6, -18, -54

Common ratio ;

r = -6 / -2 = 3

$a _ n =-2 (3) ^{n-1}$

This given formula is the explicit formula.

The given sequence is

4, 8, 16, 32

Common ratio ;

r = 8 / 4 = 2

$a_n = a_{n-1}.2\\\\a _1 = 4$

This given formula is the recursive formula.

Learn more about the recursive rule and explicit rules here:

brainly.com/question/12620593

#SPJ1

5 0

2 years ago

12 divided by 1 1/5 = ? IN lowest TERM

kompoz [17]

Answer:

12 divided by 1 1/5 = 60/11 in lowest term

I hope this helps you.

Step-by-step explanation:

Simplify the expression.

5 0

3 years ago

zepelin [54]

Answer:

The required equation is: $\mathbf{f(x)=\frac{3}{4}x-\frac{29}{4}}$

Step-by-step explanation:

We need to find equation from the table given

x f(x)

3 -5

7 -2

11 1

15 4

We can write equation in the form of $y=mx+b$

where m is slope and b is y-intercept.

Finding Slope

We can used the slope formula to find slope: $Slope=\frac{y_2-y_1}{x_2-x_1}$

From the table we have: $x_1=3, y_1=-5, x_2=7, y_2=-2$

Putting values and finding slope

$Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{-2-(-5)}{7-3} \\Slope=\frac{-2+5}{7-3}\\Slope=\frac{3}{4}$

So, we get slope $m=\frac{3}{4}$

Now, finding y-intercept

Using the slope $m=\frac{3}{4}$ and point (3,-5) we can find y-intercept

$y=mx+b\\-5=\frac{3}{4}(3)+b\\-5=\frac{9}{4}+b\\b=-5-\frac{9}{4}\\b=\frac{-5*4-9}{4}\\b=\frac{-20-9}{4}\\b=\frac{-29}{4}$

The y-intercept is $b=\frac{-29}{4}$

So, the equation having slope $m=\frac{3}{4}$ and y-intercept $b=\frac{-29}{4}$ will be:

$y=mx+b\\y=\frac{3}{4}x-\frac{29}{4}$

The required equation is: $\mathbf{f(x)=\frac{3}{4}x-\frac{29}{4}}$

6 0

3 years ago

To make a fruit salad for a party, Chris

Sloan [31]

Answer:

$33.81

Step-by-step explanation:

2.49*3 = 7.47 dollars for 3 pounds of strawberries

3.19*2 = 6.38 dollars for 2 pounds of blueberries

4.99*4 = 19.96 dollars for 4 pounds of pineapple

7.47 + 6.38 + 19.96 = 33.81 dollars spent in total

4 0

2 years ago

In triangle NOP p equals 600 inches angle P equals 96° and angle N equals 64° what is the area of triangle NOP to the nearest 10

DochEvi [55]

9514 1404 393

Answer:

55,637.8 square inches

Step-by-step explanation:

We can find side n using the Law of Sines:

n/sin(N) = p/sin(P)

n = p(sin(N)/sin(P)) = 600·sin(64°)/sin(96°)

n ≈ 542.246913 . . . . inches

The angle O is ...

O = 180° -N -P = 180° -64° -96° = 20°

Then the area is ...

A = 1/2·np·sin(O)

A = (1/2)(542.246913 in)(600 in)·sin(20°) ≈ 55,637.81008 in²

The area of ∆NOP is about 55,637.8 in².

7 0

3 years ago