mrs. jenkins was arranging chairs for a school awards assembly. each row contained 15 chairs. if there were 21 rows many chairs had to be arranged?

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.

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:

He should spend 3 minutes or less on each scale

Sven made a mistake in the symbol of inequality, placing lesser or equal instead of greater or equal

Step-by-step explanation:

Let

t ------> is the number of minutes he spends on each scale

Remember that the phrase "at least"  is equal to "greater than or equal"

so

The inequality that represent this scenario is

[tex]70-5t \geq 55[/tex]

solve for t

[tex]-5t \geq 55-70[/tex]

[tex]-5t \geq -15[/tex]

Multiply by -1 both sides

[tex]5t \leq 15[/tex]

Divide by 5 both sides

[tex]t \leq 3[/tex]

Sven is incorrect

He should spend 3 minutes or less on each scale

Sven made a mistake in the symbol of inequality, placing lesser or equal instead of greater or equal

Answer:

i dont think he made a mistake

Step-by-step explanation:

lmk if you need an explanation

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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Final answer:

The height of a TV screen with a width of 30 inches and a ratio of height to width of 9 to 16 is approximately 16.875 inches.

Explanation:

To find out how high a TV screen is that is 30 inches wide with a ratio of height to width of 9 to 16, we can set up a proportion using the given ratio and solve for the height. The ratio can be written as:

Height : Width = 9 : 16

Let's call the actual height of the screen 'h'. Using the proportion we have:

9/16 = h/30

To solve for 'h', we cross-multiply:

9 * 30 = 16 * h

270 = 16 * h

Now, to find the height 'h', we divide both sides of the equation by 16:

h = 270/16

h = 16.875 inches

Therefore, the height of the screen that is 30 inches wide is approximately 16.875 inches.

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

you would divide both sides by pr

 so the equation would be t= I/pr

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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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

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.

The equation |a+b|=|a|+|b| is not always true for all rational numbers a and b.

Given that, |a+b|=|a|+|b|.

We need to check whether |a+b|=|a|+|b| for all rational numbers a and b.

Rational numbers are in the form of p/q, where p and q can be any integer and q ≠ 0. This means that rational numbers include natural numbers, whole numbers, integers, fractions of integers, and decimals (terminating decimals and recurring decimals).

Now,

Example 1:

a=-3 and b=5

|-3+5|=|-3|+|5|

⇒2≠8

Example 2:

Take a=2 and b=4

|2+4|=|2|+|4|

⇒6=6

Therefore, from the above examples, we understood that |a+b|=|a|+|b| are not always true.

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Answer: |a+b|=|a|+|b| is not always true

Step-by-step explanation:

The equation |a+b|=|a|+|b| is not always true for all rational numbers a and b.Given that, |a+b|=|a|+|b|.We need to check whether |a+b|=|a|+|b| for all rational numbers a and b.What is a rational number?Rational numbers are in the form of p/q, where p and q can be any integerand q ≠ 0. This means that rational numbers include natural numbers, whole numbers, integers, fractions of integers, and decimals (terminating decimals and recurring decimals).Now, Example 1:a=-3 and b=5|-3+5|=|-3|+|5|⇒2≠8Example 2:Take a=2 and b=4|2+4|=|2|+|4|⇒6=6Therefore, from the above examples, we understood that |a+b|=|a|+|b| are not always true.To learn more about the rational number visit:brainly.com/question/17450097.