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Romashka [77]
3 years ago
8

Write a direct variation equation that shows the relationship between x and y.

Mathematics
1 answer:
Vlada [557]3 years ago
4 0

\bf \qquad \qquad \textit{direct proportional variation} \\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad \stackrel{\textit{constant of variation}}{y=\stackrel{\downarrow }{k}x~\hfill } \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \textit{we know that } \begin{cases} y = 15\\ x = 6 \end{cases}\implies 15=k(6)\implies \cfrac{15}{6}=k\implies \cfrac{5}{2}=k \\\\[-0.35em] ~\dotfill\\\\ ~\hfill y = \cfrac{5}{2}x~\hfill

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Which value of a would make the expression 5 1/3 divided by 4/a equivalent to a whole number?
Leya [2.2K]

9514 1404 393

Answer:

  a = any positive multiple of 3

Step-by-step explanation:

You want ...

  (5 1/3)/(4/a) = whole number

  (16/3)·(a/4) = whole number

  (4a/3) = whole number

This will be the case for a = 3n, for any positive integer n.

8 0
3 years ago
The complement of an angle is 25. What is the measure of an angle
Inessa [10]
The complement of an acute angle A in degrees is 90 - A. So if the complement is 25 degrees, the angle would be 90 - 25 = 65 degrees.
8 0
3 years ago
Geometry math thanks if you help
baherus [9]

Answer: Option B.

Step-by-step explanation:

For this exercise it is important to remember that, by definition, a relation is a function if and only if each input value has an unique output value.

The input values are the values of the variable "x" and the output values are the values of the variable "y".

You can observe in the table shown in the picture, that the input value -2 has two different output values:

x=-2,y=3\\\\x=-2,y=-13

Notice that the input vale -1 has two different output values too:

x=-1,y=-1\\\\x=-1,y=-9

Therefore, based on this, you can conclude that the information given in the table is a relation but not a function.

7 0
4 years ago
Help please!<br> I need ur help please!
Anna35 [415]

Answer:

plugging in the fractions into a calculator would make this super easy

Step-by-step explanation:

5/6 = six divided by five, right? okay so just that down and solve it

Fractions are just a number divided by another number to get a percentage

Think about 1/2, thats 50 percent right? Its half of something

So yeah, you just gotta divide both sides and see which number is bigger, for example

5/6= 0.833

and

3/8= 0.375

So which number is bigger? 0.83 is bigger of course sooooo

5/6 > 3/8

3 0
3 years ago
What is the diameter of a sphere with a volume of 498 in3, to the nearest tenth of an inch
Romashka-Z-Leto [24]

Answer:

9.8 inches

Step-by-step explanation:

<h3>Formula for volume of the sphere is = 4/3πr³</h3><h3>Form and solve the equation for the radius</h3><h3>So: 4/3πr³= 498in³</h3><h3>πr³= 498in³*3/4 which = to 373.5in³</h3><h3>r³= 373.5in³/π</h3><h3>r=∛(373.5in³/π)</h3><h3>calculate r and times the result by 2 for diameter</h3><h3>it will be 9.834...</h3><h3>nearest tenth of an inch means the accuracy is 1 decimal place because nearest tenth= 1/10 or 0.1</h3><h3>So the final answer is 9.8in</h3>
3 0
4 years ago
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