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3 years ago

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Damario invite friends over for a special dinner. For drinks, he made 32 gallons of lemonade. Each gallon had 16 cups. Each of D

amario's 18 friends drank 9 cups of lemonade. How many cups of lemonade does Damario have left?

1 answer:

Katen [24]3 years ago

8 0

The answer is 382 and it’s correct

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Determine whether the relationship being represented is Linear, Exponential or Neither : LaTeX: f\left(x\right)=\frac{1}{3}x+2f

lord [1]

Answer:

Linear

Step-by-step explanation:

Given

$f\left(x\right)=\frac{1}{3}x+2$

Required

Determine the relationship

From the group of options, Linear answers the question.

This is so because, a linear equation is of the form: $f(x) = ax + b$

By comparing $f(x) = ax + b$ with $f\left(x\right)=\frac{1}{3}x+2$ , we have that:

$a = \frac{1}{3}$

$b = 2$

and

$f(x) = f(x)$

<em>Hence, the equation is a linear equation</em>

7 0

3 years ago

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13. Rich is driving from Philadelphia to Pittsburgh at 70 mph and Michelle is driving from Pittsburgh to Philadelphia at 65 mph.

lesya692 [45]

Answer:

It would be 2 hours and 15 minutes

Step-by-step explanation:

3 0

3 years ago

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Find an equation of the line parallel to 8x − 3y = 1 and containing the point (−2, 0)

Anna007 [38]

The equation of the line parallel to 8x − 3y = 1 and containing the point (−2, 0) is 8x -3y = -16

<h3>Equation of a straight line</h3>

From the question, we are to determine the equation of the line parallel to the given equation and that passes through the given point

Lines that are parallel to each other will have the same slope.

First, we will determine the slope of the line in the given equation.

The given equation of the line is

8x − 3y = 1

Express the equation in the slope-intercept form of a line, y = mx + b

Where m is the slope and

b is the y-intercept

That is,

8x − 3y = 1

8x -1 = 3y

3y = 8x - 1

y = 8/3(x) - 1/3

By comparing,

∴ The slope of the line is 8/3

Since we are to find the equation of a line parallel to this, the slope of the line will also be 8/3

Now, find the equation of a line containing the point (-2, 0) and that has a slope of 8/3

Using the point-slope form of a line

y - y₁ = m(x - x₁)

x₁ = -2

and y₁ = 0

∴ y - 0 = 8/3(x - -2)

y = 8/3(x +2)

3y = 8(x +2)

3y = 8x + 16

8x -3y = -16

Hence, the equation of the line parallel to 8x − 3y = 1 and containing the point (−2, 0) is 8x -3y = -16

Learn more on Equation of a line here: brainly.com/question/13763238

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5 0

2 years ago

will mark brainiest I need the answer as soon as possible can you order from least to greatest and show your work

Svetlanka [38]

You have two choices: the easiest is to turn every fraction to its numerical equivalent:

$-\dfrac{9}{10}=-0.9,\ \ -\dfrac{3}{7}\approx -0.42857,\ \ -\dfrac{3}{4}=-0.75,\ \ -\dfrac{6}{5} = -1.2, -\dfrac{4}{3}\approx -1.33$

Now, remember that negative numbers are ordered in the opposite way with respect to positive numbers (for example, 4 is larger than 2, but -4 is smaller than -2). So, the order is

$-\dfrac{4}{3} < -\dfrac{6}{5} < -\dfrac{9}{10} < -\dfrac{3}{4} < -\dfrac{3}{7}$

Alternatively, you can convert all the fractions so that they have the same denominator. In this case, you will need the least common multiple of 10, 7, 4, 5 and 3, which is 420. Once you do so, you can easily order the fractions using numerators only.

5 0

3 years ago

Write the standard form of the equation of a circle with radius 10 and center (9,3)

gladu [14]

Answer:

$(x-9)^{2}+(y-3)^{2} =100$

Step-by-step explanation:

The standard form formula for a circle equation is $(x-h)^{2}+(y-k)^{2} =r^{2}$ , where (h,k) represents the center of the circle, and r represents the radius.

r=10

(h,k)= (9,3)

$(x-h)^{2}+(y-k)^{2} =r^{2}$

$(x-9)^{2}+(y-3)^{2} =10^{2}\\(x-9)^{2}+(y-3)^{2} =100$

8 0

3 years ago