38 points!
Please do #11 and #12

In return:
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Answer:

x = 44 - y

Step-by-step explanation:

Fiona is serving iced tea and lemonade at a picnic.

Let x be the number of glasses of iced tea and y be the number of glasses of lemonade.

So the equation represented the total number of glasses of iced tea and lemonade = x + y

Since Fiona has total number of glasses = 44

Therefore, x + y = 44

By solving,  x = 44 - y

Equation which represents the number of glasses of iced tea will be x = 44 - y

If the given variables are 127 hours of sleep per week for a Giant Armadillo, and 98 hours of sleep per week for a Platypus, to determine which animal gets the most sleep, first multiply the total hours of sleep of each animal per week to the total number of weeks In a year, which is 52. Once you get the answers, which are 6,604 hours of sleep in a year for the Giant Armadillo and 5,096 hours of sleep in a year for a Platypus. You subtract 6,604 and 5,096 together to get the answer, which is 1,508. Therefore we conclude that that the Giant Armadillo has 1,508 hours more hours of sleep than a Platypus in a Year.

Final answer:

Isolating a variable to equal a constant typically results in one solution, but special cases may have no solution or infinitely many. The number of solutions depends on the form of the equation once the variable has been isolated.

Explanation:

When you isolate the variable in an equation and it equals a constant, the equation typically has exactly one solution. This is because each value of the variable corresponds to exactly one value of the constant, establishing a one-to-one relationship. For instance, if an equation is simplified to the form x = 5, then the solution set consists of the single number 5. However, if you have an equation like 0x = 0, you encounter a special case where any value of x satisfies the equation, resulting in infinitely many solutions. Alternatively, an equation like 0x = 5 has no solution, as there is no value of 'x' that can make this equation true. When equations are rearranged to isolate a natural logarithm, such as In A, ensuring consistency with assumptions, as in symmetric solutions and physical calculations, can help determine valid solutions.

Answer:

8.55 x 10^-5

Step-by-step explanation:

we need to write 0.0000855 in scientific notation

To get the number in scientific notation, we need to move the decimal point after the first number

To get the decimal number after the first number we move the decimal point 5 places to the right

0.0000855 becomes 00008.55

We moved 5 places to the right, so we multiply by 10^-5

[tex]8.55 \cdot 10^{-5}[/tex]

Final answer:

To convert 8.5 hours to hours and minutes, we use the conversion factor that there are 60 minutes in an hour. Multiplying 0.5 hours by 60 minutes gives us 30 minutes, so 8.5 hours is equivalent to 8 hours and 30 minutes.

Explanation:

To convert 8.5 hours to hours and minutes, we need to understand that there are 60 minutes in one hour. The integer part of 8.5 hours is 8 hours. The decimal part (0.5) represents the fraction of an hour. To find out how many minutes are in 0.5 hours, we multiply by the number of minutes in one hour (60 minutes).

0.5 hour × 60 minutes/hour = 30 minutes.

Therefore, 8.5 hours is equivalent to 8 hours and 30 minutes. This process of conversion makes use of the conversion factors such as 24 hours per day, 60 minutes per hour, and 60 seconds per minute.

Answer:

-52x+4

Step-by-step explanation:

I took the test                       .                                                            

The value of each expression in the lowest term is [tex]3\frac{19}{20}[/tex] .

In mathematics, an expression is a combination of numbers, variables, operations, and functions that are combined according to specific rules to represent a mathematical computation or relationship. It can be thought of as a mathematical phrase or formula.

Expressions might be simple or complex, based on the number of components and operations involved. To perform calculations, represent relationships, describe patterns, and communicate mathematical ideas, expressions are generally used.

Given that

[tex]2\frac{1}{5}[/tex] + [tex]1\frac{3}{4}[/tex] = [tex]\frac{11}{5}[/tex] + [tex]\frac{7}{4}[/tex]

           = [tex]\frac{44+35}{20}[/tex]

           = [tex]\frac{79}{20}[/tex]

           = [tex]3\frac{19}{20}[/tex] .

Hence, on solving the given expression, the answer is [tex]3\frac{19}{20}[/tex] .

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Since we are given that:

1 meter = 1 x 10^9 nanometers

We can use the conversion factor:

1 x 10^9 nanometers / 1 meter

Therefore:

diameter = 1 x 10^-5 meters * (1 x 10^9 nanometers / 1 meter)

diameter = 10,000 nanometers

The total number of people attending higher education institutions is modeled by T = 0.281t^3 - 16.8t^2 + 460t + 8,600, representing the sum of the models for males and females attending colleges.

To answer the student's query regarding the total number of people attending institutes of higher education, we need to create a model that includes both the number of males and females attending as described by their respective equations. The model for the number of males attending college is given by M = 0.091t^3 - 4.8t^2 + 110t + 5,000, and the model for the number of females is F = 0.19t^3 - 12t^2 + 350t + 3,600. To find the total number of students, T, we simply add the two models together: T = M + F.

Therefore, the model for the total number of people attending institutes of higher education is:

T = (0.091t^3 - 4.8t^2 + 110t + 5,000) + (0.19t^3 - 12t^2 + 350t + 3,600)

Combining like terms, we get:

T = (0.091t^3 + 0.19t^3) - (4.8t^2 + 12t^2) + (110t + 350t) + (5,000 + 3,600)

Which simplifies to:

T = 0.281t^3 - 16.8t^2 + 460t + 8,600

This equation represents the total number of students, in thousands, attending institutes of higher education t years since 1970.

Answer:

x = -1 or x = 4[tex]\frac{1}{3}[/tex]

Step-by-step explanation:

2 * | 3x - 5 | - 8 = 8. Add 8 to both sides.

2 * | 3x - 5 | - 8 + 8 = 8 + 8

2 * | 3x - 5 |  = 16 Divide both sides by 2.

[tex]\frac{2 * | 3x - 5 | }{2}[/tex] = [tex]\frac{16}{2}[/tex]

| 3x - 5 | = 8 Write two equations.

3x - 5 = 8  |  3x - 5 = -8 Solve both equations.

3x - 5 + 5 = 8 + 5  |  3x - 5 + 5 = -8 + 5

3x = 13  |  3x = -3 Simplify.

x = 4[tex]\frac{1}{3}[/tex]  |  x = -1

Answer is of course C

To calculate the amount Lana made selling necklaces last month, multiply the number of necklaces sold per week by the price of each necklace. Subtract the number of returned necklaces and multiply the adjusted number by the price to find the total amount.

To calculate the amount Lana made selling necklaces last month, we need to multiply the number of necklaces sold per week by the price of each necklace. Lana sold 35 necklaces per week, so for 4 weeks, she sold a total of 35 x 4 = 140 necklaces. However, 6 customers returned their necklaces, so we subtract that from the total: 140 - 6 = 134 necklaces were actually sold. Each necklace was sold for $15, so the total amount Lana made can be found by multiplying the number of necklaces by the price: 134 x $15 = $2010.

Any nonzero integer divided by 0 equals 0 is a false statement.The correct statement is 0 divided by any integer is 0.

An integer is a number which has no fractional part means the digits after the decimal part are all 0.

According to the given question Any nonzero integer divided by 0 equals 0 it is false statement.

0 divided by any non zero integer is is 0.

Suppose we have 0 no. of chocolates and we have to give those chocolates to 10 people.How many chocolates will each person have ? 0 isn't it because we have 0 chocolates means we don't have any chocolates.

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The third show must be attended by 3500 people.

To find the number of people that must attend the third show so that the average attendance per show is 3000, we can use the concept of averages.

The average attendance per show is the sum of the attendances divided by the number of shows.

In this case, we have attended 1 show by 2580 people, 2 shows by 2920 people, and the attendance for the third show is x people. So, the equation to represent the average attendance per show of 3000 is:

(2580 + 2920 + x) / 3 = 3000

To solve this equation, we can multiply both sides by 3 to eliminate the denominator and get:

2580 + 2920 + x = 9000

Then, we combine like terms:

5500 + x = 9000

Finally, we subtract 5500 from both sides to isolate x:

x = 3500

Therefore, for the average attendance per show to be 3000, the third show must be attended by 3500 people.

The probable question may be:

How many people must attend the third show so that the average attendance per show is 3000 write an equation too

1 show is attend by 2580 people,

2 show is attend by 2920 people,

3 show is attend by x people.

correct answer is x=3500

Following the order of operations, (18 – 3) ÷ (6 - 1) simplifies to 3 and 4 • (10 – 3) – 4 • 2 simplifies to 20. Therefore, comparing these two statements using the symbols '>', '<', or '=', we infer that 3 < 20.

To solve this problem, we need to follow the order of operations (also commonly known as BODMAS or PEDMAS), which stands for Brackets, Orders/Exponents, Division and Multiplication (from left to right), Addition and Subtraction (from left to right).

Let's first simplify the expressions on both sides of the comparison:

Now, we can compare these two numbers. Since 3 is less than 20, we use the symbol '<' to compare these two numbers. Therefore, (18 – 3) ÷ (6 - 1) < 4 • (10 – 3) – 4 • 2.

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