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Understanding size through known quantities in mathematics and utilizing conversion factors for unit conversions.

Size is a known size or amount that helps understand another size or amount. It is a visual variable conducive for quantitative attributes in various fields, such as mathematics and science.

In mathematics, known quantities can be used to determine unknown quantities through approximations and comparisons, such as estimating lengths or measurements based on familiar values.

Conversion factors are numbers that relate different units of measure for the same quantity, enabling easy conversions between units.

Answer:

X_>-3

Hope this helps!!!!

Brian irons 1/16 of his shirt per minute.

The question is about determining the rate at which Brian irons his shirts per minute. Given the fact that Brian irons 2/9 of his shirt in 3 3/5 minutes, we first convert 3 3/5 into an improper fraction, giving us 18/5 minutes. Dividing the fraction of the shirt he irons, 2/9, by the time it takes, 18/5, we get the fraction of the shirt Brian irons per minute.

To find this, we multiply 2/9 by the reciprocal of 18/5, which is 5/18, resulting in (2/9)*(5/18) = 10/162 shirts per minute. Simplifying this fraction, we find Brian irons approximately 0.062 shirts or about 1/16 of his shirt per minute.

This is an example of using rates and fractions in a real-world context to solve problems. Understanding how to manipulate and simplify fractions is crucial for solving these real-world math problems.

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The inequality representation of the number of people who buy coffee in an afternoon x ≥ 40.

An inequality compares "two values, showing if one value less than another or greater than other or simply not equal to another value".

According to question,

Each afternoon, at least 40 people buy coffee from a coffee shop.

Let 'x' represent the number of people who buy coffee in an afternoon.

In order to show inequality representation using above information.

x ≥ 40.

Hence, the inequality representation of the number of people who buy coffee in an afternoon x ≥ 40.

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Answer:

The answer is C 2800 ft2.

Step-by-step explanation:

I just took a quiz and that was the answer. I honestly don't know why.

Final answer:

To find the area to be painted on the cylinder-shaped water tower, we sum the areas of the top and sides. The water tower has a height of 60 feet and a radius of 20 feet, resulting in a total area of 2800π ft^2 to paint.

Explanation:

The City of Oz needs to repaint its cylinder-shaped water tower. To calculate the total surface area to be painted, which consists of the top (a circle) and the sides (a rectangle wrapped around), we use the formulas for the area of a circle and the lateral surface area of a cylinder:

Area of the top (circle) = πr²

Lateral surface area (sides) = 2πrh

The water tower has a height of 60 feet and a radius of 20 feet.

Area to paint = Area of the top + Lateral surface area = π(20 ft)² + 2π(20 ft)(60 ft) = 400π ft² + 2400π ft² = 2800π ft².

Therefore, the correct answer is C) 2800π ft².

The equation of the line passing through the points (4,2) and (0,-1) is y = -3/4x + 5.

To find the equation of a line passing through two points, we need to find the slope and the y-intercept.

The formula for finding the slope is: m = (y2 - y1) / (x2 - x1)

Using the points (4, 2) and (0, -1):

Substituting these values into the formula, we get: m = (-1 - 2) / (0 - 4) = 3 / -4 = -3/4

The slope of the line is -3/4.

Next, we can use the slope-intercept form of the equation of a line, which is: y = mx + b

Using one point and the slope, we can solve for the y-intercept, b.

Substituting these values into the slope-intercept form, we get: 2 = (-3/4)(4) + b

Simplifying this equation, we find: 2 = -3 + b

Adding 3 to both sides, we get: b = 5

Therefore, the equation of the line is: y = -3/4x + 5

Approximately 64% of the passion purple is blue paint, calculated by dividing the amount of blue paint by the total amount of paint and multiplying by 100%.

To determine what percent of passion purple is blue paint, we calculate the ratio of the amount of blue paint to the total amount of paint used to make the color. We have 9 oz of blue paint and a total of 5 oz red paint plus 9 oz blue paint, which equals 14 oz of paint in total. The percentage of blue paint is therefore (9 oz blue paint / 14 oz total paint) × 100%.

Calculating this, we get:

After rounding to the nearest percent, approximately 64% of the passion purple paint is blue paint.

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Answer:

a0 - 0

a1 - 300

a2 - 900

a3 - 65

a4 - 340

a5 - 900

a6 - 650

a7 - 700

a8 - 900

Step-by-step explanation:

there you go

Based on the amount that both Salesmen A and B earn per sale, the number of sales they both had was 12 sales.

Salesman A gets $65 per sale and Saleman B gets $300 and $40 per sale.

Assuming the number of sales to take them both to the same amount is x, the relevant formulas would be:

65x = 300 + 40x

Solving gives:

65x - 40x = 300

25x = 300

x = 300 / 25

= 12 sales

The amount that both of them earned is:

= 65 x 12

= $780

= 300 + 40 x 12

= $780

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Each of the shorter sides extended out from the house is 8 feet long.

So John, needs to make a 3 sided fence. He has 31 feet of fencing to do this with and the single side parallel to the house is 15 feet.

We can write the equation for this problem as:

31=2s+15

Where 31 is the total amount of fencing John has to use, 15 is the one side where the length is given, s is the length of each of the other two sides and because there are two sides we multiply s by 2

Solving this equation gives:

31−15=2s+15−15

16=2s+0

16=2s

162=2s2

8=s