zoey inflates 24 balloons for decorations at the middle school dance. if zoey inflated 15% of the total number of balloons for the dance, how many balloons are there total?

Answer: 2079

Step-by-step explanation: 11 x 9 x 3 x 7 = 2079, there are 2079 possible combinations of outfits

Using the Fundamental Counting Theorem, it is found that 2079 different outfits can be made.

It is a theorem that states that if there are n things, each with [tex]n_1, n_2, \cdots, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:

[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]

In this problem, considering the options, we have that [tex]n_1 = 11, n_2 = 9, n_3 = 3, n_4 = 7[/tex].

Hence, the total number of options is given by:

N = 11 x 9 x 3 x 7 = 2079.

More can be learned about the Fundamental Counting Theorem at https://brainly.com/question/24314866

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Answer:

[tex]\Huge \boxed{{9}}[/tex]

Step-by-step explanation:

Let the age of Darrell be x.

Let the age of Bryce be y.

x = y + 8

xy = 153

Substitute x = y + 8 in the second equation.

(y+8)y = 153

Solve for y.

y² + 8y = 153

Subtract 153 from both sides.

y² + 8y - 153 = 0

Factor left side.

(y-9)(y+17) = 0

Set factors equal to 0.

y - 9 = 0, y = 9

y + 17 = 0, y = -17

The value of y has to be positive, so y = 9.

Substitute y = 9 in the first equation.

x = 9 + 8

x = 17

Darrell is 17 years old.

Bryce is 9 years old.

Answer:

[tex]\huge\boxed{9\ years}[/tex]

Step-by-step explanation:

Let Darrel's Age be x and Bryce's Age be y

Condition 1:

x = 8 + y

Condition 2:

xy = 153

Put the 1st equation in the second one

(8+y)y = 153

y²+8y-153 = 0

y²+17y-9y-153 = 0

y(y+17)-9(y+17) = 0

(y-9)(y+17) = 0

Either,

y-9 = 0   OR    y+17 = 0

y = 9       OR    y = -17 [Contrary to be given, Age can never be negative]

So, y = 9

And

Bryce's Age = 9 years

Answer:

4

Step-by-step explanation:

Plug in 7 for d:

y= 1/2(7+1)

y=1/2(8) .... Adding what's in the parenthesis (PEMDAS)

y=4 ..... Multiply 1/2 by 8

Hope this helps:)

Answer:

Step-by-step explanation:

[tex] \sf{Given}[/tex]

[tex] \sf{d = 7}[/tex]

Let's find the value of y:

[tex] \sf{y = \frac{1}{2} (d + 1)}[/tex]

plug the value of d

[tex] \sf{ = \frac{1}{2} (7 + 1)}[/tex]

Add the numbers

[tex] \sf{= \frac{1}{2} \times 8}[/tex]

Calculate

[tex] \sf{ = 4}[/tex]

Hope I helped!

Best regards!

Answer:

None of them are

(4,-4)

Step-by-step explanation:

To find the value of x make y =0 then substitute into the formula. Therefore 0 = x-4 then make x the subject by adding 4 to the other side 4+0=x.

Then to find the value of y make x=0 then substitute it into the formula y=0-4 which is equal to - 4

I hope this helps

Answer:

[tex]3+2-16x9[/tex] is [tex]5-16x^9[/tex]         [tex]4-3+7(12-2)[/tex] is [tex]71[/tex]

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]2\frac{1}{4}[/tex] ÷[tex]\frac{1}{2}[/tex] = [tex]\frac{9}{4}[/tex] ÷ [tex]\frac{1}{2}[/tex]

        [tex]=\frac{9}{4}*\frac{2}{1}\\\\\\=\frac{9}{2}\\\\\\=4\frac{1}{2}[/tex]

Answer:

Equation of given line: y=8x+61

See graph below for a visual of given straight line equation.

+graph%28+300%2C+300%2C+-10%2C+10%2C+-100%2C+100%2C+8x%2B61%29+

Vertical and passes through (-4,-2)

vertical slope means that the equation becomes: x=-4, (y does not matter)

hope it helps

Answer: y=2X-3

Step-by-step explanation:

1st u need to subtract the 6 on each side so your left with, -6+X=3y, then u divide the 3 on each side and your left with, -3+2X=y.

Answer: Either the plane and the ray perfectly coincide in which case there is an infinity of solutions or the ray is away from the plane in which case there is no intersection. Generally in a C++ implementation, when the denominator is lower than a very small value, we simply return false (no intersection was found).

Step-by-step explanation:

Answer:

a)  08:04

b)  07:00

c)  14 minutes

Step-by-step explanation:

a)  According to the timetable, a bus that leaves at 07:54 from Hope Street will arrive at School Rock at 08:04.

b)  Since Jo needs to be at the school at 8 am, she can't arrive at a time that is past 8.  This means that the latest time to catch the bus station is 07:00.

c)  You have to subtract the time at which you reach the destination by the time at which you leave your starting time.  It takes the bus 14 minutes to travel from the bus station to School Road.

07:14 - 07:00 = 00:14

Answer:

6/7

Step-by-step explanation:

2/3X9/7

simplify 9 by 3

which equals:

2/1X3/7

=6/7

Complete question :

There are 575 fireworks to be shot off in a firework display every minute 12 new fireworks are shot off display write a verbal model and algebraic expression to represent the number of fireworks left to be shot off after t minutes.

Answer:

575 - 12t

Step-by-step explanation:

Given the following :

Total number of fireworks = 575

Number of shots per minute = 12

To calculate the number of fireworks left to be shot off after t minutes, The total number of fireworks already shot after the same time interval t in minutes, is first obtained, this is equivalent to (12*t). The result is then subtracted from the total number of fireworks to be shof off.

In algebraic terms

[total number of fireworks on display - (number of shots per minute × t)]

575 - 12t

Hi there! :)

Answer:

(a) ≈ 3.61 cm.

(b) = 2.77 cm².

Use the Pythagorean theorem to solve for the side-length of DC. Let "s" represent the side-lengths:

s² + s² = 26

2s² = 26

Divide both sides by 2 to simplify:

s² = 13

Take the square root of both sides:

s = √13 ≈ 3.61 cm.

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

Calculate the shaded region by subtracting the area of the arc from the area of the square. DC represents the radius of the circle that the arc is apart of. Therefore:

Area of arc AC = 1/4 (πr²)

Solve for the area:

AC = 1/4 (π · (3.61)²)

AC = 1/4 (40.92)

AC = 10.23 cm²

Subtract this area from the area of the square (A = s²)

A = (√13)²

A = 13 cm²

13 - 10.23 = 2.77 cm²

Therefore, the solutions are:

(a) ≈ 3.61 cm.

(b) = 2.77 cm².

Answer:

x=881/110 =8^1/110 =8.009

Step-by-step explanation:

2.75(2x−14)=5.55

Divide both sides by 2.75.

2x-14=5.55/2.75

Expand  5.55/2.75 by multiplying both numerator and the denominator by 100.

2x−14= 555/275

Reduce the fraction  555/275 to lowest terms by extracting and canceling out 5.

2x−14= 111/5

Convert 14 to fraction  770/55 = 14

2x=111/55+770/55

Since 111/55 and 770/55 have the same denominator, add them by adding their numerators.

2x=111+770/5

Add 111 and 770 to get 881.

2x=881/55

Divide both sides by 2.

x= 881/55/2

Express 881/55/2 as a single fraction.

x= 881/55 x 2

Multiply 55 and 2 to get 110.

x = 881/110

4, 5, 6, 7, 8 and 9 are the whole numbers between 3 to 10.

Whole numbers are a set of numbers including all natural numbers and 0. They are a part of real numbers that do not include fractions, decimals, or negative numbers. Counting numbers are also considered as whole numbers.

Two given whole numbers are 3 and 10.

The number of whole numbers between 3 to 10 is

(10-3)-1=6

The whole numbers between 3 to 10 are 4, 5, 6, 7, 8, 9.

Therefore, 4, 5, 6, 7, 8 and 9 are the whole numbers between 3 to 10.

Learn more about the whole numbers here:

https://brainly.com/question/29766862.

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Answer:

[tex]\huge \boxed{2\sqrt{5} +\sqrt{35}}[/tex]

Step-by-step explanation:

[tex]\sqrt{5} (2+\sqrt{7} )[/tex]

Expand brackets.

[tex]\sqrt{5} (2)+\sqrt{5}(\sqrt{7} )[/tex]

[tex]2\sqrt{5} +\sqrt{5} \sqrt{7}[/tex]

Apply radical rule : [tex]\sqrt{a} \sqrt{b} =\sqrt{ab}[/tex]

[tex]2\sqrt{5} +\sqrt{5 \times 7}[/tex]

[tex]2\sqrt{5} +\sqrt{35}[/tex]

Answer:

Option A is the correct option.

Step-by-step explanation:

[tex] \sf{ \sqrt{5} \: (2 + \sqrt{7} )}[/tex]

Distribute √5 through the parentheses

⇒[tex] \sf{ \sqrt{5} \times 2 + \sqrt{5} \times \sqrt{7} }[/tex]

Calculate the product

⇒[tex] \sf{2 \sqrt{5} + \sqrt{5 \times 7} }[/tex]

⇒[tex] \sf{2 \sqrt{5} + \sqrt{35} }[/tex]

Hope I helped!

Best regards!

Answer:

(C)The finish line

Answer:

Hey there!

The perimeter of the triangle is the distance around it.

We can find the distance of two points using the distance formula, and add up all the distances to find the total distance.

-4, -6 to 3, 3 is 2

3, 3 to 7, 2 is 5

7, 2 to -4, -6 is about 5.4

2+5+5.39=12.4, which is closest to 12.36.

Let me know if this helps :)

Answer:

[tex]\huge \boxed{b=2}[/tex]

Step-by-step explanation:

[tex]5(2- b) = 0[/tex]

[tex]\sf Divide \ both \ sides \ by \ 5.[/tex]

[tex]2-b=0[/tex]

[tex]\sf Subtract \ 2 \ from \ both \ sides.[/tex]

[tex]-b=-2[/tex]

[tex]\sf Cancel \ negative \ signs.[/tex]

[tex]b=2[/tex]

Answer:

b = 2

Step-by-step explanation:

5(2-b) = 0

=> 5 x 2 - 5 x b = 0

=> 10 - 5b = 0

=> -5b = -10

=> -b = -10/5

=> -b = -2

=> b = 2

Let's check whether our answer is correct:

=> 5(2-2) = 0

=> 5 (0) = 0

=> 0 = 0

Answer:

269points

Step-by-step explanation:

112/5=22.4

22.4x12=268.8

268.8≈269

Step-by-step explanation:

(i) Let x = 0 and x-2y=4

Put x = 0 in x-2y=4

0-2y=4

-2y=4

y=-2

If x = 0, the value of y is -2.

(ii) Let y=0 and x-2y=4

Put y = 0 in x-2y=4

x-2(0)=4

x=4

If y = 0, the value of x is 4.

Answer:

You can't graph inverse function on graphing calculator

Step-by-step explanation:

step 1 rewrite function f(x) --> y

step 2 change x and y's position

step 3 solve for y

step 4 replace Y with f-1(up to f) and (x)

Answer:

B

Step-by-step explanation:

Since he needs to make 2 appetizers per person, the variable "p" needs to go with the "2".

Also, since he is making 20 ( 4 trays, 5 apps each) extra  appetizers for the beginning, we will need to add 20 to that number.

Answer:

1-1/4 = 3/4.

3/4-1/4 = 2/4 = 1/2.

1/2-1/9 = 9/18-2/18 = 7/18.

7x/18 = 8400

X = $21,600 = Net Jan. salary.

Hope it helped u if yes mark me BRAINLIEST!

Tysm!

Answer:

= 59​

Step-by-step explanation:

5 - 2 * 3 + 6 (3² + 1)

= 5 - 2 * 3 + 6 * 10

= 5 - 6 + 6 * 10

= 5 - 6 + 60

= 59​

Answer:

Step-by-step explanation:

[tex]5-2\times \:3+6\left(3^2+1\right)\\\\\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}\\\\\mathrm{Calculate\:within\:parentheses}\:\left(3^2+1\right)\::\quad 10\\\\=5-2\times \:3+6\times \:10\\\\\mathrm{Multiply\:and\:divide\:\left(left\:to\:right\right)}\:2\times \:3\::\quad 6\\=5-6+6\times \:10\\\\\mathrm{Multiply\:and\:divide\:\left(left\:to\:right\right)}\:6\times \:10\::\quad 60\\\\=5-6+60\\\\\mathrm{Add\:and\:subtract\:\left(left\:to\:right\right)}\:5-6+60\:\\\\:\quad 59[/tex]

[tex] &#128075 [/tex] Hello ! ☺️

Step-by-step explanation:

∫sec(x)dx =

∫ [tex]\frac{sec(x).(secx + tanx)}{secx + tanx}dx[/tex]

∫ [tex] \frac{sec {}^{2} (x) + secxtanx}{secx + tanx}dx [/tex]

u = secx + tanx

[tex] du = secx tanx + sec {}^{2}x \: dx[/tex]

[tex] ∫\frac{1}{u}du [/tex]

∫sec(x)dx= ln |u|

[tex]\boxed{\color{gold}{∫sec(x)dx= ln |secx +tanx| + C}} [/tex]

[tex]<marquee direction="left" scrollamount="2" height="100" width="150">&#x1F498;Mynea04</marquee>[/tex]

Answer:

[tex] = \ln( | \sec(x) + \tan(x) | ) + C[/tex]

Step-by-step explanation:

[tex] \int \sec(x) dx[/tex]

multiply and divide by sec x + tan x

[tex] = \int \frac{ \sec(x) ( \sec(x) + \tan(x) ) }{ \sec(x) + \tan(x) } dx[/tex]

let u = sec x + tan x

du = (sec x)(sec x + tan x) dx

[tex] = \int \frac{1}{u} du[/tex]

[tex] = \ln( |u| ) + C[/tex]

[tex] = \boxed{\color{green}{ \ln( | \sec(x) + \tan(x) | ) + C}}[/tex]

Answer:

930 dollars

Step-by-step explanation:

Let software programs = S

Video game = V

Given that a company makes a profit of $7 per software program that is, 7S and $8 per video game that is, 8V. The company can produce at most 90 software programs and at most 80 video games per week. Since the Total production cannot exceed 120 items per week.

How many items of each kind should be produced per week in order to maximize the profit?

The to get profit P

P = 7S + 8V

Since the profit on video game is higher, we will give maximum production to video game. Therefore,

P = (30 × 7) + ( 8 × 90)

P = 210 + 720

P = 930 dollars

1. Solve for y (complex solution)

y=−iln(x2−1​+x)+2πn1​, n1​∈Z

y=−iln(−x2−1+x)+2πn2​, n2​∈Z

2. Solve for y (Easier)

y=−arccos(x)+2πn1​, n1​∈Z

y=arccos(x)+2πn2​, n2​∈Z, ∣x∣≤1

Answer: Commutative property of addition

This is the idea that x+y is the same as y+x

We can add any two numbers in any order we want.

Other examples:

2+3 = 5 and 3+2 = 5

7+2 = 9 and 2+7 = 9