the sides in a rectangle are in the ratio 3:2. What is the length of each side if the perimeter of the if the rectangle is 55cm

Answer:

The sales tax on Tyler's meal will be approximately $0.99.

Explanation:

To calculate the sales tax on Tyler's meal, you can first find the amount of tax by multiplying the cost of the meal by the tax rate (in decimal form). Then, you can simply add this tax amount to the cost of the meal.

Tax amount = Cost of the meal × Tax rate

Given:

Cost of the meal = $15

Tax rate = 6.6% = 0.066 (in decimal form)

Now, let's calculate the tax amount:

Tax amount = $15 × 0.066

          ≈ $0.99

So, the sales tax on Tyler's meal will be approximately $0.99.

Here is your answer:

First, change the mixed numbers into improper fractions:

[tex] 5\frac{1}{5} \neq \frac{26}{5} [/tex]

[tex] 2\frac{2}{3} \neq \frac{8}{3} [/tex]

Now multiply:

[tex] \frac{26}{5} \times\frac{8}{3} =\frac{208}{15} [/tex]

Then turn the improper fraction into a mixed number:

[tex] \frac{208}{15} =13\frac{13}{15} [/tex]

Therefore your answer is "13 13/15!"

Hope this helps!

The acceptance rate of the students is 51.1%.

The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that a local university accepted 2,300 students out of 4,500 applicants for admission.

The acceptance rate will be calculated as,

Acceptance rate  = ( 2300 x 100 ) /4500

Acceptance rate  =   51.1 %

Therefore, the acceptance rate of the students is 51.1%.

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The two moving companies' costs would be equal for a job that takes 4 hours to complete.

The cost for each moving company can be represented as a linear equation. For the first company, the cost equation is C = 2000 + 100h and for the second company, the equation is C = 1800 + 150h. We want to know when these two costs are equal, so we can set the two equations equal to each other and solve for 'h' (which represents the number of hours):

2000 + 100h = 1800 + 150h.

Solving for h, you'll find h = 4 hours. This means that the costs of the two companies will be the same if the job takes 4 hours to complete.

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From linear pair postulate, if two angles are in linear pair, then they are supplementary.

Also, the definition of supplementary angles states that the sum of the angles is 180 degrees.

Hence, the correct option is Definition of supplementary angles.

The scientific notation of 763 thousandths is [tex]\boxed{7.63 \times {{10}^{ - 1}}}.[/tex]

Further explanation:

Given:

The number is 763 thousandths.

Explanation:

The place values are only natural numbers.

The base ten systems represent the position of a place value.

The first digit from the right is the ones place, the second digit from the right is the tens place, the third digit from the right is the hundreds, the fourth digit from the right is the thousands.

After decimal the first place is the tenth place, the second place is the hundredth and the third place is the thousandth.

763 thousandths in base 10 can be expressed as follows,

[tex]\begin{aligned}763{\text{ thousandths}}&= \frac{{763}}{{1000}} \\&= 763 \times {10^{ - 3}} \\ &= 0.763 \\\end{aligned}[/tex]

The scientific notation of 763 thousandths can be obtained as follows,

[tex]\boxed{0.763 = 7.63 \times {{10}^{ - 1}}}[/tex]

The scientific notation of 763 thousandths is [tex]\boxed{7.63 \times {{10}^{ - 1}}}.[/tex]

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Answer details:

Grade: Middle School

Subject: Mathematics

Chapter: Decimals

Keywords: value, scientific notation, 763, digit, place value, tens, hundreds, thousandth, ones, digit, place, base ten.

Answer: There are 220 employees working now.

Step-by-step explanation:

Hi, to answer this question, first, we have to multiply the number of employees by the percentage in decimal form.

So, mathematically speaking:

Finally, we subtract the number obtained to the initial number of employees.

There are 220 employees working now.

Feel free to ask for more if needed or if you did not understand something.

Answer:

The correct option is 2.

Step-by-step explanation:

The formula form speed is

[tex]speed=\frac{distance}{time}[/tex]

[tex]time=\frac{distance}{speed}[/tex]

It is given that the school is 16 miles from his home. He averages 40 miles per hour on his way to school. Time taken by Aidan to reach school from the home is

[tex]t_1=\frac{16}{40}[/tex]

Let speed at which Aidan drive home be s. Time taken by Aidan to reach home from the school is

[tex]t_2=\frac{16}{s}[/tex]

It is given that his total trip takes 1 hour.

[tex]\frac{16}{40}+\frac{16}{s}=1[/tex]

[tex]\frac{16s+640}{40s}=1[/tex]

[tex]16s+640=40s[/tex]

[tex]640=40s-16s[/tex]

[tex]640=14s[/tex]

Divide both sides by 14.

[tex]\frac{640}{24}=s[/tex]

[tex]s=26.666667[/tex]

[tex]s\approx 27[/tex]

Aidan return with speed about 27 mph Therefore the correct option is 2.

Answer:

B

Step-by-step explanation:

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