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2 years ago

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

Mathematics

1 answer:

Shalnov [3]2 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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Marked price of an article is rs 1500 what is selling price with 10 %vat

mote1985 [20]

Answer:

if no discount is allowed

MP = SP = 1500

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= 10% 0f 1500

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8 0

2 years ago

A rectangle sand box has a length of 5 and 1/3 feet and a width of 3 and 3/4 feet. What is the perimeter?

Varvara68 [4.7K]

Answer:

Perimeter of rectangle = ⇒ $18\frac{1}{6}$ feet

Step-by-step explanation:

Given:

Length of a rectangular sand box = $5\frac{1}{3}\ feet$

Width of the box = $3\frac{3}{4}\ feet$

Perimeter of a rectangle = $2(l+w)$

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

Substituting values given for length and width.

Perimeter of sand box = $2(5\frac{1}{3}+3\frac{3}{4})\ feet$

Simplifying by adding fractions:

⇒ $2(5+3+\frac{1}{3}+\frac{3}{4})\ feet$ (Adding whole numbers and fractions separately)

⇒ $2(8+\frac{1}{3}+\frac{3}{4})$ feet

Whole number 8 can be written as $\frac{8}{1}$

⇒ $2(\frac{8}{1}+\frac{1}{3}+\frac{3}{4})$ feet

To add fractions we take LCD for the denominators 3,4,1.

LCD for 3 and 4 = 12 as its the least common multiple of 3,4,1.

Making denominators =12 by multiplying numerator an denominator with the corresponding numbers

⇒ $2(\frac{8\times 12}{1\times 12}+\frac{1\times 4}{3\times 4}+\frac{3\times 3}{4\times 3})$ feet

⇒ $2(\frac{96}{12}+\frac{4}{12}+\frac{9}{12})$ feet

Then we simply add numerators.

⇒ $2(\frac{96+4+9}{12})$ feet

⇒ $2(\frac{109}{12})$ feet

⇒ $2\times \frac{109}{12}$ feet

⇒ $\frac{218}{12}$ feet

Writing fraction as a mixed number by dividing 218 by 12 and writing quotient as whole number and remainder as numerator with divisor as denominator.

⇒ $18\frac{2}{12}$ feet

Simplifying fractions to simplest form.

⇒ $18\frac{1}{6}$ feet

Perimeter =⇒ $18\frac{1}{6}$ feet (Answer)

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2 years ago

Lines a and b are parallel. What is the measure of angle s? Enter your answer in the box. s = ∘∘ Horizontal parallel lines a and

VashaNatasha [74]

s = 22 degrees

Assuming I'm interpreting your description accurately, the top right angle of line b will also be 158 degrees because it's a corresponding angle to the top right angle of line a. That means that the top left angle of line b will be a supplementary angle. And supplementary angles add up to 180. So 180 - 158 = 22.

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2 years ago

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2 years ago

Jamel has 2 and 2/5 of string. Jamel needs 1/5 of a foot of string to sew a button to a shirt. What is the greatest amount of bu

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