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2 years ago

What ratio is 14:6 equal to

Mathematics

2 answers:

Svetllana [295]2 years ago

8 0

Answer:

7/3

Step-by-step explanation:

what ratio is 14:6 equal to?

just semplify

7/3

AfilCa [17]2 years ago

6 0

Answer:

28:12 or 7/3

Step-by-step explanation:

A ratio is a comparison between two quantities.

To find an equivalent ratio, multiply or divide both quantities by the same number.

<h3>Fraction Example</h3>

Think of ratios as fractions. For example, $\frac{1}{2} ~is~equal~to`\frac{2}{4}$

And the ratio 1:2 is also equal to 2:4

Hope this Helps!

$-TheAnimeGirl-$

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The sum of two numbers is 95. If the larger is increased by twice the smaller, the result is 120. Find the numbers.

adelina 88 [10]

Hello!

You can make two expressions based on what you know

let x equal the larger number
let y equal the smaller number

x + y = 95
x + 2y = 120

We can use elimination to get rid of x

You can subtract the two equation to get rid of x

-y = -25

Since y is negative we can multiply both sides by -1 to make y positive

y = 25

Now we can put this into one of the other equations to find x

x + 25 = 95

subtract 95 from both sides

x = 70

The answers are 70 and 25

Hope this helps!

3 0

2 years ago

Find the rate of decay of the function b(x)=4(0.006)^x Enter your answer as a percent

inna [77]

Try using a calculator i don't have one on me sorry :(

7 0

3 years ago

It was reported that in 2004, the mean net worth of families in a certain region was $470.2 thousand and the median net worth

Kobotan [32]

Answer:

Median.

Step-by-step explanation:

We have been given that in 2004, the mean net worth of families in a certain region was $470.2 thousand and the median net worth was $92.3 thousand.

We know that mean and median of a symmetric data set is equal.

We also know that when mean of a data set is greater than median, then the data set has a very large valued outlier.

Since mean net wroth of families is approximately 5 times more than median net wroth of families, this means that some of the families has very high net worth as outliers.

Since the net worth of families has very large outliers, therefore, I would prefer median as the appropriate measure of center as median is not affected by outliers.

6 0

3 years ago

If cos() = − 2 3 and is in Quadrant III, find tan() cot() + csc(). Incorrect: Your answer is incorrect.

nydimaria [60]

Answer:

$\tan(\theta) \cdot \cot(\theta) + \csc(\theta) = \frac{5 - 3\sqrt 5}{5}$

Step-by-step explanation:

Given

$\cos(\theta) = -\frac{2}{3}$

$\theta \to$ Quadrant III

Required

Determine $\tan(\theta) \cdot \cot(\theta) + \csc(\theta)$

We have:

$\cos(\theta) = -\frac{2}{3}$

We know that:

$\sin^2(\theta) + \cos^2(\theta) = 1$

This gives:

$\sin^2(\theta) + (-\frac{2}{3})^2 = 1$

$\sin^2(\theta) + (\frac{4}{9}) = 1$

Collect like terms

$\sin^2(\theta) = 1 - \frac{4}{9}$

Take LCM and solve

$\sin^2(\theta) = \frac{9 -4}{9}$

$\sin^2(\theta) = \frac{5}{9}$

Take the square roots of both sides

$\sin(\theta) = \±\frac{\sqrt 5}{3}$

Sin is negative in quadrant III. So:

$\sin(\theta) = -\frac{\sqrt 5}{3}$

Calculate $\csc(\theta)$

$\csc(\theta) = \frac{1}{\sin(\theta)}$

We have: $\sin(\theta) = -\frac{\sqrt 5}{3}$

So:

$\csc(\theta) = \frac{1}{-\frac{\sqrt 5}{3}}$

$\csc(\theta) = \frac{-3}{\sqrt 5}$

Rationalize

$\csc(\theta) = \frac{-3}{\sqrt 5}*\frac{\sqrt 5}{\sqrt 5}$

$\csc(\theta) = \frac{-3\sqrt 5}{5}$

So, we have:

$\tan(\theta) \cdot \cot(\theta) + \csc(\theta)$

$\tan(\theta) \cdot \cot(\theta) + \csc(\theta) = \tan(\theta) \cdot \frac{1}{\tan(\theta)} + \csc(\theta)$

$\tan(\theta) \cdot \cot(\theta) + \csc(\theta) = 1 + \csc(\theta)$

Substitute: $\csc(\theta) = \frac{-3\sqrt 5}{5}$

$\tan(\theta) \cdot \cot(\theta) + \csc(\theta) = 1 -\frac{3\sqrt 5}{5}$

Take LCM

$\tan(\theta) \cdot \cot(\theta) + \csc(\theta) = \frac{5 - 3\sqrt 5}{5}$

6 0

3 years ago

Find CE in the length indicated

nikdorinn [45]

Okay, to find length CE, your going to know the value of x. Length BC + CE = BD + DE.3x+47+x+26=27+x+10Simplify the equation to get4x+73=37+xyou can choose one of four ways to continue, but I will choose to subtract x3x+73=37Subtract 73 from both sides of the equal sign3x=-36divide by 3 on both sides of the equal sign to get the value of xx=-12Now, plug in -12 for x in length CE to get -12+26=14

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2 years ago