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Inga [223]
3 years ago
7

Write y= 2/3 x +7 in standard form using integers

Mathematics
1 answer:
Shalnov [3]3 years ago
5 0

Answer:

The standard form of y= \frac{2}{3} x +7   is  -2 x + 3 y  =  21.

Step-by-step explanation:

Here, the given expression is :  y= 2/3 x +7

The standard form of the equation is ax + by  = c

Now, simplifying the above expression:

y= \frac{2}{3} x +7  \implies   y - 7 =   \frac{2}{3} x

or, 3(y-7)  = 2x  \implies  3y - 21 = 2x

or, -2x + 3y  =  21

Hence, the standard form of y= \frac{2}{3} x +7   is -2x + 3y  =  21.

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What goes into 729 that are perfect squares? 81 and 9:

3 \sqrt{81*9}

Take the square root of 81 (9) and the square root of 9 (3).  Move these to the outside of the square root (they will multiply with 3 since 3 is multiplied to the square root in the original problem)
3 \sqrt{81*9} \\ 3*9*3

Now, just multiply:
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12. The $60 selling price of a camera is the cost<br> increased by twice the cost. Find the cost.
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3 0
3 years ago
Two arithmetic means between 3 and 24 are -
defon

The value of two arithmetic means which are inserted between 3 and 24 are 24/9 and 75/9.

<h3>What is arithmetic mean?</h3>

Arithmetic mean is the mean or average which is equal to the ratio of sum of all the group numbers to the total numbers.  

The two arithmetic means between 3 and 24 are has to be inserted.

3, A₂, A₃, 24

All the four numbers are in arithmetic progression. The nth terms of AM can be found using the following formula:

t(n)=a(n-1)d

Here, d is the common difference a is the first terms and n is the total term.  The first term, a=3 and t₄=24. Thus, the common difference is;

t(n)=a(n-1)d\\t(4)=3(4-1)d\\24=3(3)d\\24=9d\\d=\dfrac{24}{9}

The second and 3rd term are:

A₂=3+\dfrac{24}{9}=\dfrac{51}{9}\\ A₃=\dfrac{51}{9}+\dfrac{24}{9}=\dfrac{75}{9}

Thus, the value of two arithmetic means which are inserted between 3 and 24 are 24/9 and 75/9.

Learn more about the arithmetic mean here;

brainly.com/question/14831274

#SPJ1

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