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I have 200 hours to make as much Lemonade as possible, and I can make 1 pitcher every 10 minutes.

Write an inequality to represent my time constraint.​

Answer:

same as last because it is a circle

Step-by-step explanation:

Answer: diameter = 16 area = 201.06

Step-by-step explanation:

20s + 3m = 73

5s + 17m = 197

Eliminate s terms: Multiply second equation by -4, then add to first equation:

-20s - 68m = -788

 20s + 3m = 73

—————————-

-65m = -715

m = (-715)/(-65) = 11

20s + 3(11) = 73

20s = 40

s = 2

A movie download costs $11. A song download costs $2

Of the given four estimators, the one that shows the most bias is Mean = 20, SE = 1. Hence, Mean = 20, SE = 1 is the accurate choice.

The estimator with the highest value (Mean = 20) compared to the population parameter (15) is the most biased. The lower the standard error (SE = 1), the more confident the estimate, but if the estimate is far from the population parameter, it is considered biased.

In this case, the Mean = 20 estimator is the most biased because it has the greatest difference from the population parameter and the lowest standard error, indicating a high level of confidence in the estimate despite it being significantly different from the actual population parameter.

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The slope equals the rise divided by the run: . You can determine the slope of a line from its graph by looking at the rise and run.

A line has the property that its slope remains constant throughout. Therefore, you may determine the slope by selecting any two points along the line's graph.

The definition of slope in mathematics is pretty close to how we normally define it. Slope is a mathematical term used to indicate a line's steepness and direction. A line's slope can be inferred from its graph alone, especially in relation to other lines plotted on the same coordinate plane.

slope=rise/run.

The ratio of the change in the y-value to the change in the x-value can also be used to determine slope. For instance: Given two points on the line, P = (0, -1) and Q = (4,1), we may compute

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Answer:

$0.41

Step-by-step explanation:

"per pound" tells you the the pounds should go on the bottom of a fraction (ratio, division)

see image. Divide to find the answer.

Answer:

X = 23∘

Step-by-step explanation:

(

7

x

−

11

)

=

(

4

x

+

58

)

 corresponding angles are always equal.

3

x= 69

x = 69

3 = 23

The equation to line is x-y+7=0.

What is a line?

A line is an indefinitely long, straight object that, despite being drawn with a minimum width, is considered to have no particular width in mathematics.

Main Body:

We know that equation of line in two point form =

y-y₁ =( y₂-y₁)/(x₂-x₁)(x-x₁)

points given are (-5,2) and (-4,3).

Therefore

y-2 =( 3-2)/(-4+5) *( x+5)

y-2 = x+5

x-y+7=0

Hence the equation is x-y+7=0.

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Answer:

The answer is given in the picture

Step-by-step explanation:

Do you remember me calista

I am alvena

Answer:

$70

Step-by-step explanation:

$5 x 6 hours = $30

$600 ÷ 15% = $40

$30 + $40 = $70

Applying addition of integers, the final results of the expressions are given as follows:

a) -6.

b) -6.

c) 35.

d) -1.

To add two integers, we have to keep in mind their signals, if they are the same or different, as follows:

Hence, for item a, we have that:

For item b, the solution is found as follows:

For item c, the solution is found as follows:

For item d, the solution is found as follows:

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Answer:

A line has a slope of 2/3 and y–intercept -2. The equation of the line is y = (2/3)x - 2.

Step-by-step explanation:

Hope this helps

Answer:

y = (2/3)x - 2

Step by step explanation:

The slope of a line is nothing but the change in y coordinate with respect to the change in x coordinate of that line.

Given, slope of the line is 2/3

y-intercept is -2.

The equation of the line in slope-intercept form is given by

y = mx + c

Where, m is the slope

c is the y-intercept.

y = (2/3)x - 2

we have the following system

where x is the number of mega million ticktets and y the number of scratch off tickets, so we have that y=60-x and we get that

so they bought 42 mega million tickets and 18 scratch off

Given:

distance Lora has driven = 1350 miles

amount of gas she used = 54 gallons

cost of gas per gallon = $4.969

The amount she spent o fuel can be calculated using the formula:

Substituting we have:

Answer:

Hence, Lora has spent $275 on fuel by estimate

Answer:

x = 5.5

Step-by-step explanation:

2x + 3 - 4 = 10

2x - 1 = 10

2x = 11

x = 5.5

Let's check

2(5.5) + 3 - 4 = 10

11 + 3 - 4  = 10

14 - 4 = 10

10 = 10

So, x = 5.5 is the correct answer.

Answer: x = 5.5

Step-by-step explanation:

To solve, we will isolate the variable x.

      Given:

             2x + 3 - 4 = 10

      Combine like terms on the left side:

             2x - 1 = 10

      Add 1 to both sides of the equation:

             2x = 11

      Divide both sides of the equation by 2:

             x = 5.5

Answer:

14

Step-by-step explanation:

let the number be x

3x=42

x=42/3

=14

Answer:

238 students

Step-by-step explanation:

35%= 0.35

680x0.35= 238

The equation shows that the number of toys that must be bought for them to have equal profit will be 212 toys.

From the information, it should be noted that the equation that can be used to represent the information about Jaclyn company will be:

= 2125 + (49.99 × x)

= 2125 + 49.99x

The equation that can be used to represent the information about Richie company will be:

= (39.95 × x)

= 39.95x

Therefore, we will equate both equations:

2125 + 49.99x = 39.95x

49.99x - 39.95x =2125

10.04x = 2125

x = 212

Therefore, the number of toys that must be bought for them to have equal profit will be 212 toys.

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Answer:

The answer is 0

Hope that helps!

Answer: Your answer is 0-

7 is not included and hence it is depicted on the number line using an open dot. Hence, solution to the inequality is option B.

In mathematics, inequalities specify the connection between two non-equal numbers. Equal does not imply inequality. Typically, we use the "not equal sign (≠)" to indicate that two values are not equal. But several inequalities are utilized to compare the numbers, whether it is less than or higher than.

The given inequality is:

x + 8 > 15

Subtracting 8 on both sides of the equation:

x + 8 - 8 > 15 - 8

x > 7

Here, 7 is not included and hence it is depicted using an open dot.

Hence, option B is the correct answer.

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The solution is, the measure of angle C is 52.

Here, we have,

If AC = BC

and, given that,

.A =(8x-40)

B =(5x - 1)

so, we have,

AC = BC i.e. ABC  is isosceles triangle.

so, the angle A & B are equal .

so, we get,

(8x-40)  = (5x - 1)

or, x = 39/3

        = 13

so, angle A = angle B = 64

so, m<C = 180 - 2*64

              = 52

Hence, The solution is, the measure of angle C is 52.

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Answer:

2x² - 3x + 6 = 0

a = 2 b = -3 c = 6

delta = b² - 4ac = 9 - 4.2.6 = -39

\( = > x = \frac{3 + \sqrt{39}i }{4} \: or \: x = \frac{3 - \sqrt{39} i}{4} \)

Answer:

a. YES

b. YES

c. NO

d. YES

Step-by-step explanation:

\(\frac{7^6}{7^3}\) simplifies to \(7^3\)

a:

Let's simplify this:

(\(7^9\))(\(\frac{1}{7^6}\))

Now:

\(\frac{7^9}{7^6}\)

Which equals:

\(7^3\)

So, YES

b:

Simplify this one:

\(\frac{1}{7^8} / \frac{1}{7^1^1}\)

Or:

\((\frac{1}{7^8})(7^1^1)\)

Which simplifies to:

\(7^3\)

So, YES

c:

Simplifies to:

\(\frac{7^8}{7^4}\)

Which equals:

\(7^4\)

So, NO

d:

This simplifies to:

\(\frac{1}{7^3} * 7^6\\\\ \frac{7^6}{7^3} \\\\7^3\)

So, YES

The inequality to solve is:

We can take the numbers to one side and variables to one and solve for x. Shown below:

This is the solution

Note: the open circle in '6' means the number six isn't included.

The sequence is decreasing as n increases and sequence converges to the value 0.

The given sequence is defined as aₙ = 1 / (7n + 3).

To determine if the sequence converges or diverges, we need to analyze its behavior as n approaches infinity.

As n increases, the denominator 7n + 3 also increases which means that the values of aₙ will get smaller and smaller, approaching zero as n becomes larger.

The sequence converges to the value 0.

The sequence is decreasing as n increases.

The sequence converges to the value 0.

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Macro can finish the puzzle in 3 hours. We can say that her speed for working is 1/3 or 1/3 puzzle per hour.

Now if they work together, this turns into 1 puzzle per hour.

That must mean that Cliff would be doing the other 2/3 of the puzzle while Macro does his 1/3 in that hour. If Cliff has a speed of doing them 2/3 per hour. Then it would take 1 and a half hour to finish 1 whole puzzle.

Answer:

The number is 500.

Step-by-step explanation:

Let n be the number

Convert percent to decimal

20% = 0.20

0.20n = 100

Divide both sides of the equation by 0.20

0.20n/0.20 = 100/0.20

n = 500