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3 years ago

Activity

Mathematics

2 answers:

kobusy [5.1K]3 years ago

7 0

a = (1+0.2)p

This equation is used to calculate the quantity of lemonade.

<u>Step-by-step explanation:</u>

Let the quality of lemonade in lans glass be 'a'

Quantity of lemonade in patricias glass = p ounces

Lan pours 20% more than Patricia

a = (1+0.2)p

This equation is used to calculate the quantity of lemonade

Arturiano [62]3 years ago

7 0

Answer:

Patricia poured P ounces of lemonade in her glass. Ian poured 20% more than P ounces in his glass; that is, he poured 0.20p or .2p ounces more than Patricia.

ANSWER: 0.20p

Step-by-step explanation:

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Evaluate 4x^2 y^-3 for x=3 and y=-2

Doss [256]

Answer:

36 and -1/8

Step-by-step explanation:

x^2 = 3^2 = 9 * 4 = 36

y^-3 = (-2)^-3 = -1/8

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3 years ago

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What is the quotient of 5 7 ÷ 5 14 ?

KatRina [158]

Answer:

<h2><u>=</u> <u> 57 / 514 </u> <u>(Decimal: 0.110895)</u></h2>

Step-by-step explanation:

57 / 514

<u>(Decimal: 0.110895)</u>

<u></u>

<h2><u>And if that is not what you are looking for here: </u></h2><h2><u></u></h2>

Rewrite the equation as

x /14 = 5/ 7 . x/ 14 = 5/ 7

Multiply both sides of the equation by

14.14 ⋅ x /14 = 14 ⋅ 5 /7

Simplify both sides of the equation.

Tap for fewer steps...

Cancel the common factor of 14 .

Cancel the common factor.

14 ⋅ x /14 = 14 ⋅ 5 /7

Rewrite the expression.

x = 14 ⋅ 5 /7

Simplify 14 ⋅ 5/ 7 .

Cancel the common factor of 7 .

Factor 7 out of 14 .

x = 7 ( 2 ) ⋅ 5/ 7

Cancel the common factor.

x = 7 ⋅ 2 ⋅ 5/ 7

Rewrite the expression.

x = 2 ⋅ 5

Multiply 2 by 5 .

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2 years ago

Coffee with sugar and milk added to it can contain up to calories. To consume a maximum of 600 mg if caffeine per day, how many

Marina CMI [18]

We know there is 330 mg of caffeine per 16-ounce serving. So if we want 8-ounce servings:
330 mg : 2 = 165 mg
Also we have to consume a maximum of 600 mg.
165 mg * 3 = 495 mg < 600 mg
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3 years ago

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Find the total number of diagonals in a regular nonagon.

anastassius [24]

Answer:

Step-by-step explanation:

number of diagonals in a regular polygon = number of sides - 2.

A nonagon is a polygon having 9 sides.

Total number of diagonals in a regular nonagon

= 9 - 2

= 7

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2 years ago

Find an equation of the line in the form ax+by=c whose x-intercept is 12 and y-intercept is 4, where a, b, and c are integer

Lostsunrise [7]

Answer:

The equation of the line in $ax+by=c$ form where $a,b,c$ are integers with no factor common to all three, and greater than or equal 0 is:

$x+3y=12$

Step-by-step explanation:

Given:

x-intercept = 12

y-intercept = 4

To find the equation of line in the form $ax+by=c$ where $a,b,c$ are integers with no factor common to all three, and greater than or equal 0.

Solution:

The x-intercept is the point at which the line cuts the x-axis. The point of x-intercept is given as $(x,0)$

Thus, on point of the line is (12,0)

The y-intercept is the point at which the line cuts the y-axis. The point of y-intercept is given as $(0,y)$ .

Thus, on point of the line is (0,4)

Using the two points we can find the slope of the line using the slope formula.

$m=\frac{y_2-y_1}{x_2-x_1}$

So, slope of the line can b given as:

$m=\frac{4-0}{0-12}$

$m=\frac{4}{-12}$

$m=-\frac{1}{3}$

The slope intercept form of the equation of he line is given as:

$y=mx+b$

where $m$ represents slope of the line and $b$ represents the y-intercept.

So, the equation of the line can be given as:

$y=-\frac{1}{3}x+4$

Multiplying each term by 3 to remove fraction.

$3y=3.-\frac{1}{3}x+4(3)$

$3y=-x+12$

Adding $x$ both sides.

$3y+x=-x+x+12$

$3y+x=12$

Thus, the equation of the line in $ax+by=c$ form where $a,b,c$ are integers with no factor common to all three, and greater than or equal 0 is:

$x+3y=12$

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3 years ago