Out of 15 serves in a volleyball game, 0.6 of them were in bounds. What percent of the serves were in bounds?

To solve for y in the equation 3x + 1/5y = 7, subtract 3x from both sides, then multiply by 5, resulting in y = 35 - 15x.

To solve the equation [tex]3x + \frac{1}{5}y = 7[/tex] for y, we need to isolate y on one side of the equation.

Subtract 3x from both sides of the equation to get the term with y by itself:

[tex]\frac{1}{5}[/tex]y = 7 - 3x

Multiply both sides of the equation by 5 to solve for y:

y = 5(7 - 3x)

Simplify the right-hand side:

y = 35 - 15x

This equation now represents y in terms of x.

To solve for the volume of the soap box, the formula V = length x width x height is used, yielding a volume of 36 cubic inches, which matches the expected size for such an item.

Let's create a word problem: Susan has a small business making handmade soaps which she packages in rectangular boxes. She needs to calculate how much space her soaps will take during shipping. If one soap box has a length of 6 inches, a width of 3 inches, and a height of 2 inches, what is the volume of the soap box?

To solve this problem, we will use the formula for the volume of a rectangular box, which is V = length x width x height.

Plugging in the dimensions Susan provided, the volume V is calculated as 6 * 3 * 2, which equals 36 cubic inches.

Therefore, each soap box occupies a space of 36 cubic inches.

It's always important to check units to ensure the answer is reasonable. Since we measured in inches and are looking for a volume in cubic inches, the result of 36 cubic inches is appropriate for the size of a soap box.

Final answer:

Six people can share an 8-segment chewy fruit worm by each person having 1 segment with 2 segments left over, or by each person having 2 segments with no segments left over.

Explanation:

There are two ways that six people can share an 8-segment chewy fruit worm:

Each person can have 1 segment, and there will be 2 segments left over.

Each person can have 2 segments, and there will be no segments left over.

In the first case, each person will get 1/6 of the worm. In the second case, each person will get 2/6 or 1/3 of the worm.

Answer:

X_>-3

Hope this helps!!!!

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.

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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Answer:

32 lbs

Step-by-step explanation:

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

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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To find the powers of 3 that lie within the range from 3 to 1000, start with 3 to the power of 1 and continue to increment the exponent until the resulting power of 3 is greater than 1000. The sequence of powers of 3 in this range is 3, 9, 27, 81, 243, and 729.

The student is asking about finding the powers of 3 that are within the range from 3 to 1000. This is a mathematics question that involves exponents and integer powers. To find the powers of 3 within this range, we'd start with 31 (which is 3), and increment the exponent by 1 until the result exceeds 1000.

So we would calculate 32 (which is 9), then 33 (which is 27), and so on, until we reach a power of 3 that is greater than 1000. This sequence is 3, 9, 27, 81, 243, 729, and stops there because the next power, 37 or 2187, is beyond 1000.

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.