What is the measure of angle S?

Answer: The expression shows the number of dollars he will have saved by the end of the year is given by [tex]35(7)+40(5)=\$445[/tex]

Step-by-step explanation:

Since we have given that

Amount he saved per month over the first 7 months = $35

Amount he saved per month over the next 5 months = $40

So, total saving by the end of the year is given by

[tex]35\times 7+40\times 5\\\\=\$245+\$200\\\\=\$445[/tex]

Hence, the expression shows the number of dollars he will have saved by the end of the year is given by

[tex]35(7)+40(5)=\$445[/tex]

Find 81% of 403 by converting the percentage to a decimal (0.81) and then multiplying it by 403, which equals to 326.43 when rounded to the nearest hundredth.

The student is asking for the solution to determine the value of 81% out of 403. This is a simple proportional math problem and could be solved with the following steps:

So, 81% of 403 is approximately 326.43, rounding to the nearest hundredth.

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The result of evaluating the expression 4(2m-n)-3(2m-n) with respect to m=-15 and n=-18 is -12.

To evaluate the expression 4(2m-n)-3(2m-n) for m=-15 and n=-18, we first substitute these given values into the expression.

Therefore, our expression becomes 4(2*(-15) - (-18)) - 3(2*(-15) - (-18)). Simplify the expression in the parentheses first according to the order of operations (also known as BEDMAS or PEMDAS) which stands for Brackets/parentheses, Exponents/Orders, Division/Multiplication, Addition/Subtraction.

4(2*-15 - (-18)) - 3(2*-15 - (-18)) simplifies to: 4(-30 +18) - 3(-30 + 18). Further simplify to: 4*-12 - 3*-12.

Then, doing the multiplication gets: -48 - (-36), which simplifies to: -48 + 36. Therefore, the value of the expression is -12.

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Answer:  [tex]\dfrac{15}{28}[/tex]

Step-by-step explanation:

The given word : geometry

Total letters in the above word = 8

Number of vowels (a e i o u) in word  =3

Number of consonants = 5

Number of ways to choose two consonant and one vowel is given by :-

[tex]F=^5C_2\times^3C_1\\\\=\dfrac{5!}{2!(5-2)!}\times (3)\ [ \because ^nC_1=n]\\\\=5\times2\times3=30[/tex]

Number of ways to choose any three letters from the 8 alphabets:-

[tex]T=^8C_{3}=\dfrac{8!}{3!(8-3)!}=8\times7=56[/tex]

Now, the probability that two consonants and one vowel are chosen :-

[tex]=\dfrac{F}{T}\\\\=\dfrac{30}{56}=\dfrac{15}{28}[/tex]

Hence, the required probability = [tex]\dfrac{15}{28}[/tex]

The probability of the event E = {b, f, h} with the sample space S = {a, b, c, d, e, f, g, h} is 3/8 or 0.375.

The student has asked to find the probability of the event E = {b, f, h} given the sample space S = {a, b, c, d, e, f, g, h} where all outcomes are equally likely. To calculate the probability, we need to use the formula for theoretical probability, which is the number of favorable outcomes divided by the total number of possible outcomes in the sample space.

We see that the event E has 3 outcomes (b, f, h) and the sample space S has 8 outcomes. So the probability of event E is given by:

P(E) = Number of outcomes in E / Number of outcomes in S = 3 / 8 = 0.375

Answer:

The owner of a business sometimes withdraw assets other than cash because cash is more liquid and can be used in transactions easily, whereas the assets after a period of times becomes liable of depreciation.

The depreciation on assets decreases the amount of the assets based on the time and wear and tear of the tangible assets.

Therefore, to retain some liquid assets in hand the tangible or intangible assets are used first.

Hence, the businessman here did the right thing.

Thye given Quadrilateral WILD is inscribed in circle O. The measure of angle D is 135 degrees.

Since the quadrilateral is inscribed inside the circle,

Where the four vertices are on the circle itself,

The opposite angle addition is 180 degrees.

Angle I and Angle D are opposite angles.

They add to 180 degrees

(angle I) + (angle D) = 180

(45 degrees) + (angle D) = 180

(angle D) + 45 = 180

(angle D) + 45 - 45 = 180 - 45 ... subtract 45 from both sides.

angle D = 135

The measure of angle D is 135 degrees.

To learn more about the opposite angle visit:

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multiply the number of games by the number of seats

42362 x 81 = 3,431,322 total seats

Let

p--------> number of additional people who can enter the pool

we know that

the maximum capacity of the pool is [tex]600\ people[/tex]

so

the inequality is

[tex]430+p \leq 600[/tex]

[tex]p \leq 600-430[/tex]

[tex]p \leq 170[/tex]

the solution is the interval ----------> (-∞,170]

but remember that the number of people can't be a negative number

so

the solution is the interval -------> [0,170]

therefore

the answer is

The inequality is equal to [tex]430+p \leq 600[/tex]

Answer:

d

Step-by-step explanation:

s - 2 ≤ 7

  +2   +2

s ≤ 9

s ≤ 9

Answer:

33.56 miles per hour.

Step-by-step explanation:

First we will see how many meters the hummingbird can travel in an hour (in meters)

it can travel up to 15 meters per second, but we know that one hour has 3600 seconds ( because an hour has 60 minutes of 60 seconds each one ( 60 x 60 = 3600)

So the hummingbird can travel 3600 x 15 = 54,000 meters in one hour.

Now, we know that 1 mile = 1609 meters, so in order to convert the 54,000 meters in miles per hour we're going to use a rule of three.

1 mile ----------- 1609 meters

x miles ---------- 54,000 meters

x miles = 54,000/1,609 = 33.56

Therefore, the hummingbird speed is 33.56 miles per hour.

Part 1)

we have

the scale is [tex]1:100,000[/tex]

the distance on a map is [tex]12\ cm[/tex]

we know that

The scale is equal to the distance on a map divided by the real distance

Let

x------> distance on a map

y-------> real distance

S-------> scale

[tex]S=\frac{x}{y}[/tex]

In this part we have

[tex]S=\frac{1}{100,000}[/tex]

[tex]x=12\ cm[/tex]  

Find the value of y

[tex]y=\frac{x}{S}[/tex]

Substitute the values

[tex]y=\frac{12}{(1/100,000)}[/tex]

[tex]y=1,200,000\ cm[/tex]

Convert to kilometers

[tex]y=12\ Km[/tex]

Part 2)

In this part we have

[tex]S=\frac{1}{300,000}[/tex]

[tex]y=12\ km[/tex]  

Find the value of x

[tex]x=S*y[/tex]

Substitute the values

[tex]x=(1/300,000)*12[/tex]

[tex]x=0.00004 Km[/tex]

Convert to centimeters

[tex]x=4\ cm[/tex]

therefore

the answer is

The distance is [tex]4\ cm[/tex]

Answer:  -2 is the correct answer

Explanation:

This is the graph for greatest integer function  by looking at the graph we can clearly conclude that  f at zero is giving the value -2

Greatest integer function gives the value that is less than or equal to the value taken inside the function

For example if we have 2.09  and is operating under greatest integer function the value comes out to be 2  because it will convert the decimal value in integer

denoted as [2.09]=2

Answer:

The answer is 2

Step-by-step explanation:

By solving a system of linear equations, the set fee for renting a bike is determined to be $6 and the hourly rate is $4.50. Hence, the cost to rent the bike for 3 hours is $19.50.

The question involves creating linear equations based on the given information to find the cost of renting a bike for a certain number of hours. We are told that renting a bike for 4 hours costs $24 and renting for 7 hours costs $37.50. We can express this situation with two equations, where x represents the set fee and y represents the hourly rate:

We solve this system of equations to find the values of x and y. Subtracting the first equation from the second gives us 3y = 13.5, hence y = 13.5 / 3 = $4.50 per hour. We can then substitute y back into the first equation: 4(4.50) + x = 24, which simplifies to 18 + x = 24, hence x = $6.

To rent the bike for 3 hours, the cost would be 3(4.50) + 6 = $13.50 + $6 = $19.50.