Theo solved n + 5 = 11 for the unknown. The steps he took are shown.

He started with 5 tiles.

5 tiles.

Then he added tiles as he counted up to 11.

6 tiles.

He realized he added 6 more tiles to his original 5 to make 11. So he found the unknown to be 6.

How could Theo check his work? Check all that apply.

He could substitute 5 for n in the original equation and add.
He could substitute 6 for n in the original equation and add.
He could subtract 5 from 11 and check that the answer is 6.
He could subtract 11 from 5 and check that the answer is 6.
He could put all the tiles in 1 pile to count them to see if there are 11 in all.

Answer:do homework

Step-by-step explanation:

The cost of living is a significant factor that individuals consider when making career choices and decisions about where to live, as it directly impacts their financial well-being and overall quality of life.

1) The phrase "cost of living" refers to the sum of money needed to sustain a particular level of living in a specific place or community.

It includes a range of costs, including those for housing, utilities, transportation, groceries, healthcare, education, and other necessities and extras. Inflation, wages, taxes, housing markets, and the general state of an area's economy all have an impact on the cost of living.

2) The cost of living can significantly impact career choices and decisions regarding where to live.

Here are a few ways it can influence these aspects:

a) Income expectations

b) Career opportunities

c) Location choices

d) Lifestyle trade-offs

e) Financial planning

Overall, because it directly affects people's financial security and general quality of life, the cost of living is an important element that people take into account when choosing their careers and where to reside.

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Answer:

multiply 3 to the second eqn

To Find :

How many of the smallest 200 positive integers are divisible by 3,5 and 7 .

Solution :

We have to find number which are divisible by all 3,5 and 7 .

So , we will find numbers which are divisible by their H.C.F .

Since , 3 ,5 and 7 are prime numbers .

Therefore , their H.C.F is \(3\times 5\times 7=105\) .

Now , we can see that HCF is 105 , so the next number which is divisible by all of them are \(105\times 2=210\) which is greater than 200 .

Therefore , their is only 1 number i.e 105 less than 200 which is divisible by 3,5 and 7 .

Hence , this is the required solution .

Answer: 108 integers!

Hope this helped!

The english phrase "Seven less than four times a number" as an algebraic expression is 4x - 7

From the question, we have the following parameters that can be used in our computation:

seven less than four times a number

Represent the number with x

So:

four times a number means 4x

So, we have

seven less than 4x

seven less than means - 7

So, we have

4x - 7

Hence, the english phrase as an algebraic expression is 4x - 7

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Complete question

write the english phrase as an algebraic expression. Let x represent the number

Seven less than four times a number

Answer:

20 diamonds

step-by-step explanation:

2700-200=2500 divided by 125=20

so 20 diamonds

Answer:

200,000

Step-by-step explanation:

Answer:

176 boys

Step-by-step explanation:

boys(4) + girls (5) = 9

396 / 9 = 44 (group to 4 boys and 5 girls)

44 x 4 (boys of group) = 176 boys in total

Answer:

The Area of the trapezium is \(60cm^2\)

Step-by-step explanation:

Given,

Height (h)= 8cm

Sum of the parallel sides (a+b)= 15cm

Area of trapezium = \(1/2*h*(a+b)\)

                              =\(1/2*8*15\)

                              =\(4*15\)

Area of trapezium=60cm^2

Answer: Area = 60 cm²

Step-by-step explanation:

To find the area of a trapezium we use the formula

Area of trapezium = 1/2 (sum of parallel sides) × height

∴ Area = 1/2 ×15 cm × 8 cm

           = 60 cm²

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I don't know if you mean rounding to the HUNDRED place or the HUNDREDTHS place, but I will give you both answers.

8.162 rounded to the hundreds place - 0

8.162 rounded to the HUNDREDTHS place- 8.16

Answer:

0

Step-by-step explanation:

if b=45 and a=9 the expression looks like

45/9-5

45/9=5 and 5-5=0

The range of the data is 30, and the interquartile range (IQR) is 15.

To create a box plot using the given data, we first need to determine the five-number summary, which includes the minimum value, the first quartile (Q1), the median (Q2), the third quartile (Q3), and the maximum value.

From the given data, we can determine the five-number summary as follows:

Minimum: 60

Q1: 70

Median (Q2): 80

Q3: 85

Maximum: 90

Now, let's create a box plot using this information:

```

  |         |         |         |         |

60 |––––––––|––––––––|         |

  |         |         |         |         |

70 |––––––––|––––––––|––––––––|––––––––|

  |         |         |         |         |

80 |––––––––|––––––––|––––––––|––––––––|

  |         |         |         |         |

90 |––––––––|––––––––|         |

  |         |         |         |         |

  ------------------------------------

    60       70        80        90

```

In the box plot, the line within the box represents the median (Q2), the box represents the interquartile range (IQR) from Q1 to Q3, and the lines extending from the box (whiskers) represent the minimum and maximum values. Any data points falling outside the whiskers would be considered outliers.

The range can be calculated as the difference between the maximum and minimum values:

Range = Maximum - Minimum = 90 - 60 = 30

The interquartile range (IQR) is the difference between the third quartile (Q3) and the first quartile (Q1):

IQR = Q3 - Q1 = 85 - 70 = 15

Therefore, the range of the data is 30, and the interquartile range (IQR) is 15.

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The government agency as a monopolist will produce and sell internet connections up to the point where the marginal cost is 1/2. The price will be set at 1, given the perfectly elastic demand function.

In the scenario where a government agency has a monopoly in the provision of internet connections and the inverse demand function is given by p = 1, we can analyze the market equilibrium and the implications for pricing and quantity.

The inverse demand function, p = 1, implies that the market demand for internet connections is perfectly elastic, meaning consumers are willing to purchase any quantity of internet connections at a price of 1. As a monopolist, the government agency has control over the supply of internet connections and can set the price to maximize its profits.

To determine the optimal pricing and quantity, the monopolist needs to consider the marginal cost of providing internet connections. In this case, the marginal cost is given as 1/2. The monopolist will aim to maximize its profits by equating marginal cost with marginal revenue.

Since the inverse demand function is p = 1, the revenue received by the monopolist for each unit sold is also 1. Therefore, the marginal revenue is also 1. The monopolist will produce up to the point where marginal cost equals marginal revenue, which in this case is 1/2.

As a result, the monopolist will produce and sell internet connections up to the quantity where the marginal cost is 1/2. The monopolist will set the price at 1 since consumers are willing to pay that price.

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What is fractional equivalent?

Equivalent fractions are fractions with distinct numerators and denominators but the same value.

1. The number represented by n has two repeating digits, 15.

2. To convert the repeating decimal to a fraction, we need to identify the place value of the repeating digits. In this case, the repeating digits start immediately after the decimal point, so we need to multiply by a power of 10 that is equal to the number of repeating digits, which is 2.

3. Power of 10 times n = 10^2 x 0.1515... = 15.15...

        \(0.1515... x 10^2 = 15.15...\\\\\)

4.

       \(10^2n = 15.15...\\\\n = 0.1515...\\\\99n = 15\)

To obtain the equation, we multiplied the original bby 100 to eliminate the decimal, which gives 100n = 15.1515... We then subtracted the original equation from the multiplied equation to eliminate the repeating digits, which gives 99n = 15.

5. 99n = 15

n = 15/99

To obtain the fraction, we divided both sides of the equation by 99.

Therefore, the fractional equivalent of the repeating decimal n = 0.1515... is 15/99, which can be simplified to 5/33 in simplest form.

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Answer:

448 freshman.

Step-by-step explanation:

How many students at the university are freshmen?

= (1 - (.24 + .2 + .28)) * 1600 = .28 * 1600 = 448 freshman.

A percentage is a way to describe a part of a whole. The number of students that are freshmen in the university is 448.

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

Given that 24% of students are sophomores, 20% are juniors, and 28% are seniors. Therefore, the percentage of the freshman in the university will be,

Percentage of freshman = 100% - 24% - 20% - 28%

                                         = 100% - 72%

                                         = 28%

Now, since there are a total of 1,600 students at the university. Therefore, the number of students that are freshmen in the university is,

Number of students = 28% of 1600

                                  = (28/100) × 1600

                                  = 448

Hence, the number of students that are freshmen in the university is 448.

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Ha:mu<10  is the appropriate alternative hypothesis that the consumer group wishes to test .

How would you define hypothesis?

An assumption or notion is called a hypothesis when it is put forth with the purpose of debating whether it might be true.

                               In the scientific process, the hypothesis is developed prior to the completion of any relevant study, other than a brief background review.

Ha:mu<10

Because A consumer group is suspicious of this claim, believing that the weight lose is, on average, much less.

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Answer: C & D

Step-by-step explanation:

The residuals will have a pattern and form a parabola. Then the correct options are A and B.

The quadratic equation is given as ax² + bx + c = 0. Then the degree of the equation will be 2.

It's the locus of a moving point that keeps the same distance between a stationary point and a specified line. The focus is a non-movable point, while the directrix is a non-movable line.

The quadratic equation is also known as the equation of the parabola.

The residuals will have a pattern and form a parabola. Then the correct options are A and B.

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Answer:

387.06

Step-by-step explanation:

(0 to 5) = round down

(5 to 9) = round up

\(387.0642 \\ \: \: 1 \: 00\)

Answer:

387

Step-by-step explanation:

387.0642 apprx. 387

0 is not equal to five nor is greater than.

Hope this helps ;) ❤❤❤

The fraction of May's property that is left is 7/15.

A fraction is a value derived in such a way that it is a part of a given initial value. An example is one third of 12 is 4. In this case, 4 is a fraction of 12.

Considering the given question, we have;

let the total property of May be represented by 1, so that

fraction left after giving 1/5 to her son = 1 - 1/5

                             = (5 - 1)/ 5

                             = 4/ 5

The fraction left after giving 1/5 of her property to her son is 4/ 5.

So that;

the fraction left after she gave 1/3 to her daughter = 4/ 5 - 1/ 3

                                               = (12 - 5)/ 15

                                               = 7/ 15

Therefore, the fraction of her property left is 7/ 15.

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Answer:

33

hope this helped :)

Answer:

35

Step-by-step explanation:

Take twenty and multiply it by 1.75 to increase the answer by 175%

Answer:

21.888

Step-by-step explanation:

32*1.2*1.9*0.3= 21.888

The required, match of each quadratic equation with its solution set are:

2x²-32=0 → {-4, 4}

4x²-100=0 → {-5, 5}

x²-55=9 → {-8, 8}

x²-140=-19 → {-11, 11}

2x²-18=0 → {-3, 3}

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Answer:

Step-by-step explanation:

Answer:

The fourth answer

Step-by-step explanation:

The answer should be quite obvious. They gave you the answer in the question, 5^3/2. All the other answers result in 5 cubed.

Now, for actually determining it when not given choices. The nth root, or just the number on the outside, is always the denominator in the fractional power. In a regular square root, the n is just 2. In this case, the n is equal to 2. So you are taking the 2nd root (squard root) of the number. That means the denominator is 100% going to be 2. the numerator is simply the power that the number inside is going to. In this case it is 3.

Answer:

e-5=2f

take '-5' to the other side where '2f' is

e=2f+5

The median is the middle value of a data set when the values are arranged in order from lowest to highest (or highest to lowest). If there is an even number of values, then the median is the average of the two middle values. The median divides the data set into two halves, with half of the values being below the median and half of the values being above the median.

The first quartile, denoted as Q1, is the value that separates the lowest 25% of the data from the rest of the data. The second quartile, denoted as Q2, is the median of the data set. The third quartile, denoted as Q3, is the value that separates the lowest 75% of the data from the rest of the data.

The data-set has in this problem has two-halves of five elements, divided by the number 21, hence the median and the quartiles are given as follows:

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