A school’s auditorium can hold a maximum of 450 people. The school is holding a talent show
where 35 students will perform. The school pre-sold 345 tickets to the show and will now allow
the performers to use the remaining tickets for their friends and family. If each student
performing in the talent show can invite the same number of guests, select all of the following
that represents the possible number of guests that arrive for each performer.

Answer:

x ~0.9

Step-by-step explanation:

To solve for (x) in the given right triangle, use the trigonometric ratios, which are the following,

[tex]sin(\theta)=\frac{opposite}{hypotenuse}\\\\cos(\theta)=\frac{adjacent}{hypotenuse}\\\\tan(\theta)=\frac{opposite}{adjacent}[/tex]

Each of the sides of a triangle is named with respect to the given angle. In this problem, one is given the side opposite to the given angle, and the side adjacent to it. Use the ratio of tangent (tan) to solve for the unknown side.

[tex]tan(83)=\frac{7}{x}[/tex]

Manipulate the equation so that it is solved for (x),

[tex]x=\frac{7}{tan(83)}[/tex]

x ~ 0.859

Answer:

1. Income highlight: $4123 of take home pay. That's it.

Total monthly income: $4123

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

2. Expense highlight:

$1200 child support

$475 every 2 weeks

$145 car payment

$113 car insurance

$47.36 house insurance

$55 loan payment

Total monthly expense:  $2510.36

(1200 + 2(475) + 145 + 113 + 47.36 + 55 = $2510.36

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

3. $4123 - 2510.36 = 1612.64 surplus

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

The only question remaining is what if they want him paying more on his credit line...it's kind of a variable expense at this point.

John also has an outstanding credit line of $8500. The only amount due on this account is the interest of about $55 monthly. However John is trying to pay off the credit line within the next 2 years, so he pays off as much of this loan as he can afford each month.

Answer:

C. his conclusion represent correlation and causation

Answer:

7.722cm^2, x=129

Step-by-step explanation:

12*12=144- area of the whole square

the diameter for the circle is 12

radius is 6

Area for circle= pi* r²

3.142*6^2=113.112

144-113.112=30.888

30.888/4=7.722

Answer:

question 5) 340.5

Step-by-step explanation:

abigails decorating buissness charge for every hour = $100+$13.50= 113.5

for 3 hour charges will be= 113.5 x 3= 340.5

hope it helps ❤️

The weight for mom's boxes is obtained as 41.41 pounds.

What is weight?

Weight gauges how much gravity is pulling on a body.

The weight formula is provided by -

w = mg

Since weight is a force, it has the same SI unit as a force, which is the Newton (N).

Use a proportion to solve this problem.

Since the weight of the art projects is directly proportional to the number of art projects, we can set up the following proportion -

weight of 11 art projects / 11 = total weight / 24

Solving for the total weight -

total weight = (weight of 11 art projects / 11) x 24

total weight = 2.18 x 24

total weight = 52.32 pounds

So the total weight of the 11 art projects is 24 pounds, and if mom gets 7 of them, 4 art projects will be left weighing a total of -

weight of 4 art projects = (weight of 11 art projects - weight of 7 art projects)

weight of 4 art projects = (24 - (7/11) x 24)

weight of 4 art projects = 10.91 pounds

So, mom would be receiving 7 art projects weighing a total of -

weight of 7 art projects = (total weight - weight of 4 art projects)

weight of 7 art projects = (52.32 - 10.91)

weight of 7 art projects = 41.41 pounds

Therefore, mom's box would weigh 41.41 pounds.

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Answer:

Alli has $450 in her saving account bank withdraws $25 from her saving account

alli's bank automatically takes $400

after the check is cleared

she will get = $450+$400-$25 = $825

Step-by-step explanation:

hope it helps ❤️

The amount left in Alli's savings account after the check has cleared is $407.54.

it is given that

money in checking account= $382.45

money in savings account= $450

the value of check= $400

service charge deducted by bank in case money is not sufficient in check account = $25

the amount left in Alli's savings account after clearance of check will be:

the amount already present in the savings account - extra money needed for clearance of check - Service charge levied by the bank.

the amount left in Alli's savings account after clearance of check

450-(400-382.54)-25 = $407.54

therefore, the amount left in Alli's savings account =$407.54

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Answer:

∠ QST = 68°

Step-by-step explanation:

∠ QST + ∠ RSQ = ∠ RST , that is

∠ QST + 64° = 132° ( subtract 64° from both sides )

∠ QST = 68°

Answer:

8 students

Step-by-step explanation:

Answer:

33

Step-by-step explanation:

There are 4:7 boys to girls, so there is a multiple of 11 people, 4 + 7 = 11.

there are 4*3 boys and 7*3 girls, 12 boys and 21 girls

Answer:24

Step-by-step explanation:

If a number has a decimal point , then the first digit to the right of the decimal point indicates the number of tenths. The second digit to the right of the decimal point indicates the number of hundredths.  

In this case the .3 indicates 3/10ths of a kilogram.  or 300 grams!

In the other case 0.03 indicates 3/100ths of a kilogram or 30 grams!

So, to compare the two:

the tenths decimal is 10 times bigger than the decimal in the next spot (hundredths)

Hope this helps!

Cole will have to save 9.05 for 5 weeks in order to get the video game.

How to solve this problem- 45.25 ÷ 5 = 9.05

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

bai ^^

Answer:

13 calories

Step-by-step explanation:

39 calories =3 servings

1 serving = 13

39÷3 =13

Answer:

4 students

Step-by-step explanation:

32 - 3 = 29

10 + 15 = 25

29 - 25 = 4

Answer:

45

Step-by-step explanation:

We have the equation 2x² + 6x + 9 and are asked to find the value when x =3.

To solve this, all we need to do is substitute all variables with "x" to 3. Then do the properties :

2x² + 6x + 9

2(3)² + 6(3) + 9

Do exponents first :

2(9) + 6(3) + 9

Now multiply the numbers with parenthesis next to them :

18 + 18 + 9

Add to get the answer :

45

Answer:

27

Step-by-step explanation:

We have the equation:

2x^2+6x-9

If x = 3, we can substitute 3 in for the x values.

We get the equation:

2([tex]3^{2}[/tex]) + 6(3) - 9

Using PEMDAS:

First, evaluate the power.

3^2 = 9

Then, multiply the numbers.

2 x 9 + 6 x 3 - 9

We get:

18 + 18 - 9

Simplify.

18 + 18 = 36

36 - 9 = 27

Hope this helps.

Answer:

2/36

Step-by-step explanation:

The only outcomes that lead to a sum of 3 are (2,1) and (1,2) therefore there is only a 2 in 36 chance of rolling a sum of 3

Answer:

9 inches

Step-by-step explanation:

Perimeter of equilateral triangle = 3x

Perimeter of square = 4x

3(x + 6) = 9 + 4x

3x + 18 = 9 + 4x

-x = -9

x = 9

Answer:

x²+8x+16=24

Step-by-step explanation:

x²+8x=7 (+16)

x²+8x+16=7+16=24

(x+4)²=24

The values to be entered in the boxes are 16 and 23.

Given the equation is [tex]x^2[/tex]+8x=7

To complete the square for the equation [tex]x^2[/tex] + 8x = 7, we need to add a constant term on both sides of the equation to create a perfect square trinomial on the left side.

First, take half of the coefficient of the x-term (8) and square it:

[tex](8/2)^2[/tex] = 16

Now, add 16 to both sides of the equation:

[tex]x^2[/tex] + 8x + 16 = 7 + 16

Simplifying:

[tex]x^2[/tex] + 8x + 16 = 23

Therefore, the equivalent number sentence after completing the square is [tex]x^2[/tex] + 8x + 16 = 23

The values to be entered in the boxes are 16 and 23.

Hence, [tex]x^2[/tex] + 8x + 16 = 23.

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Answer:

The answer is A.

Step-by-step explanation:

Answer:

I don't give answers sorry.

Step-by-step explanation:

What you would do is take 1 and subract the two probabilites from it. The equation should be [tex]1-\frac{1}{3} -\frac{2}{5}[/tex]. You can find a common denominator by making it both 15.

Answer:

-1=x-2

-1+2=x

x=1

Step-by-step explanation:

Answer:

Mean = 109.4

Step-by-step explanation:

Mean = (Sum of all values)/(Number of values)

Mean = (100 + 121 + 105 + 113 + 108)/(5)

Mean = (547)/5

Mean = 109.4

Answer:

109

Step-by-step explanation:

Mean is just finding the average of the data set.

100+121+105+113+108=547, first add up all the numbers

547/5=109.4, then divide that sum by the amount of numbers in the set

Answer:

Many of them. For example: They do not grow in those 6 months. If you are asking about the weight, it could various different answers.

Answer:

3.625

Step-by-step explanation:

ur welcome!

Answer:

2510000 INR

Step-by-step explanation:

Given

[tex]Savings = AED 125500[/tex]

[tex]1\ AED =20\ INR[/tex]

Required

The amount that will be withdrawn in India

We have:

[tex]1\ AED =20\ INR[/tex]

Multiply both sides by the savings

[tex]125500 * 1\ AED =20\ INR * 125500[/tex]

[tex]125500\ AED =125500 * 20\ INR[/tex]

So, we have:

[tex]125500\ AED =2510000\ INR[/tex]

Hence, the amount that will b withdrawn is: 2510000 INR

Answer:

8 battery =12

20 battery =?(x)

8x=240

x=240÷8

x=30

for 20 battery..it would cost 30

Step-by-step explanation:

The cost of 20 rechargeable batteries will be $30.

What is Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.

For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

The cost of A package of 8 rechargeable batteries = $12.

Now,

Since, The cost of A package of 8 rechargeable batteries = $12.

So, The cost of A package of 1 rechargeable batteries = $12/8

Hence, The cost of A package of 20 rechargeable batteries is,

= $12/8  x 20

= $30

Thus, The cost of 20 rechargeable batteries will be $30.

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