I will put your answer as brainliest if you answer right now. I need help with #3

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.

Each glass contains 1/10 pt of juice when 3/5 pt of juice is evenly divided into 6 glasses.

To determine how much juice is in each glass when 3/5 pt of juice is poured evenly into 6 glasses, one must divide the total amount of juice by the number of glasses. This is a basic division problem often encountered in converting customary units in real-world situations.

First, convert the pint (pt) measurement to a more convenient unit if needed. In this case, we can keep it in pints since the division is straightforward. Next, divide the 3/5 pt of juice by 6.

Calculate the amount of juice in each glass: 3/5 ÷ 6 = 3/5 × 1/6 = 3/30 = 1/10.

Convert the fraction to pint measurement if necessary: 1/10 pt.

So each glass would contain 1/10 pt of juice.

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.

Learn more about inequality here

https://brainly.com/question/21562771

#SPJ2

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:

32 lbs

Step-by-step explanation:

The number of calories when he burns jogging 3 miles will be 277.5 calories.

A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.

If a jogger runs 2 kilometers and burns 185 calories, he or she.

Then the number of calories that jogger can burn per mile is given as,

⇒ 185 / 2

⇒ 92.5 calories per mile

The number of calories when he burns jogging 3 miles will be

⇒ 92.5 x 3

⇒ 277.5 calories

The number of calories when he burns jogging 3 miles will be 277.5 calories.

More about the ratio and the proportion link is given below.

https://brainly.com/question/14335762

#SPJ2

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

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.

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.