You use the Internet to purchase 9 tickets for a concert The tickets are $22 each you have to play a handling fee of $3 per ticket and a shipping fee of $5 for the entire order. Use a problem solving plan to find your total cost.

There are two Right angled triangles in the given figure, with two missing sides, let's name the other missing side be " y "

According to Pythagoras theorem,

[tex] \boxed{ \large \boxed{h {}^{2} = {b}^{2} + p{}^{2} }}[/tex]

note :

let's solve for " y² " first ( square of other missing side )

[tex]➢ \: \: {y}^{2} = {8}^{2} + 3 {}^{2} [/tex]

[tex]➢ \: \: {y}^{2} = 64 + 9[/tex]

[tex]➢ \: \: {y}^{2} = 73[/tex]

now let's solve for " x " , by using pythagorous theorem

[tex]➢ \: \: {x}^{2} = {y}^{2} + {6}^{2} [/tex]

[tex]➢ \: \: {x}^{2} = 73 + 36[/tex]

[tex]➢ \: \:x {}^{2} = 109[/tex]

[tex]➢ \: \: x = \sqrt{109} [/tex]

Approximate :

[tex]➢ \: \: 10.44 \: \: units[/tex]

[tex] \mathrm{✌TeeNForeveR✌}[/tex]

Answer:

49

Step-by-step explanation:

The average is calculated as

average = [tex]\frac{sum}{count}[/tex] Given the average of 7 numbers is 45 , then

[tex]\frac{sum}{7}[/tex] = 45 ( multiply both sides by 7 )

sum of 7 numbers = 315

Subtract 27, 43 from the sum to obtain the sum of first 5 numbers

315 - (27 + 43) = 315 - 70 = 245 , then

average of first 5 numbers = [tex]\frac{245}{5}[/tex] = 49

Answer:

x=20, g=100, f=80

Step-by-step explanation:

when ever somthing is suplementary it means the the answer will euqal to 180 degrees. That means your equation is going to be

3x+40+5x-20=180

8x+20=180

8x=160

x=20

Finding g

3(20)+40

60+40

g=100

FInding f

5(20)-20

100-20

f=80

Answer:

the answer is the intersection is a line

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf {C. \:20.25}}}}}}[/tex]

[tex]0.25, 0.75, 2.25, 6.75,20.25,..[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex]0.25, 0.75, 2.25, 6.75,20.25 \\ \\ ➺ \: 0.25 \times 3 = 0.75 \\ \\ ➺ \: 0.75 \times 3 = 2.25 \\ \\ ➺ \: 2.25 \times 3 = 6.75 \\ \\ ➺ \: 6.75 \times 3 = 20.25[/tex]

[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35♛}}}}}[/tex]

Answer: 2 to the 8th power

Step-by-step explanation:

Answer:

4 1/2 : 2 1/4

Divide both sides by 2 1/4

2 : 1

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

3 months : 1 year

1 year = 12 months

3 : 12

Divide both sides by 3

1 : 4

4÷1×2 it the answer and questions

Answer:

x= 20

y = 10

Step-by-step explanation:

Angles 3x° and 60° are Corrosponding angles so they are equal:

[tex]3x = 60 \\ \frac{3x}{3} = \frac{60}{3} \\ x = 20[/tex]

Angles (5y-5)° and 135° are Cointerior so add to give 180°:

[tex]5y - 5 + 135 = 180 \\ 5y + 130 = 180 \\ 5y = 180 - 130 \\ \frac{5y}{5} = \frac{50}{5} \\ y = 10[/tex]

Substitute y and x into the respective formula's to get your angles.

Answer:

[tex]5[/tex]

Step-by-step explanation:

Segments are named by their endpoints. Therefore, segment PQ will have endpoints P and Q. The length of the segment is equal to the distance between these points.

To find the distance between P and Q given their coordinates, use the distance formula:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Let:

[tex]P(-2, 7)\implies (x_1, y_1),\\Q(1, 3)\implies (x_2, y_2)[/tex]

The distance between these points is equal to:

[tex]d=\sqrt{(1-(-2))^2+(3-7)^2},\\d=\sqrt{3^2+(-4)^2},\\d=\sqrt{9+16},\\d=\sqrt{25},\\d=\boxed{5}[/tex]

Answer:

[tex]5[/tex]

Step-by-step explanation:

This problem gives one the following points on a line: ([tex]P(-2,7)[/tex]), and ([tex]Q(1,3)[/tex]). The problem asks one to find the distance between the two points. The formula to find the distance between two points on a coordinate point is the following,

[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Substitute the given values in and solve for the distance;

[tex]D=\sqrt{(-2)-(1))^2+((7)-(3))^2}[/tex]

Simplify,

[tex]D=\sqrt{(-2)-(1))^2+((7)-(3))^2}\\\\D=\sqrt{(-3)^2+(4)^2}\\\\D=\sqrt{9+16}\\\\D=\sqrt{25}\\\\D = 5[/tex]

Answer:

[tex]\displaystyle d = 13[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Algebra II

Step-by-step explanation:

Step 1: Define

Identify

Point (-6, -8)

Point (6, -3)

Step 2: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d

Answer:

V= 936m³

Step-by-step explanation:

Formula:

Volume = L * W * H

Volume1= L * W * H

= 16 * 9 * 6

= 864m³

Volume2= L * W * H

= 6 * 2 * 6

= 72m³

Add both volumes to get total volume.

= 864m³ + 72m³ = 936m³

Hope this helps!

Have a nice dayy! :)

Answer:

Step-by-step explanation:

▶️ Penyelesaian:

100

20 +

120 ✅

Answer:

what?

Step-by-step explanation:

Answer:

√10 = 3.16

Step-by-step explanation:

using calculator

√10 = 3.162277660168379

Hundredths is the second decimal place.

Since the next decimal place is less than 5

there is no need to round up

√10 = 3.16

Step-by-step explanation:

add all the freqency up which is 100

you have to use a customize spinner and put in all the colors that are all on the side...

Spin 150 times ( 250-100= 150) and put tally marks on the sheet of tallys.

Then count all you red and see.

Hope all that makes sense..

Step-by-step explanation:

Given

Inequalities are [tex]y\leq -\dfrac{1}{3}x+2[/tex] and [tex]y>2x-3[/tex]

Take the inequality as two equations to get the intersection point

[tex]y=-\dfrac{1}{3}x+2\ and\ y=2x-3[/tex]

Equate the value of y

[tex]\Rightarrow -\dfrac{1}{3}x+2=2x-3\\\Rightarrow 5=\dfrac{7x}{3}\\\\\Rightarrow x=\dfrac{15}{7}[/tex]

[tex]\therefore y=1.286[/tex]

The common region gives the required regions for inequalities.

Answer:

Step-by-step explanation:

x^2 －6x-8=0

Answer:

A. You may set the variables in either order. But for argument sake, let's set as follows:

x = Amount of bookshelves

y = Amount of tables

B. Because of the amount of things you need to make, the following is an inequality using those variables.

x + y > 25

Plus you can determine a second inequality based on the amount of money that you have to spend.

20x + 45y < 675

Finally you may also add in that each value must be greater than or equal to zero, since they cannot have negative tables.

C. By solving the system and looking at basic constraints when graphed, you can see the feasible region has 4 vertices.

(0,0)

(18, 7)

(0, 15)

(33.75, 0) or (33, 0) if you insist on rounding.

Step-by-step explanation: Good luck and hope this helps :)

Answer:

two

Step-by-step explanation:

The number of solutions is the number of times the graphs intersect.

The line and the parabola intersect two times, so there are two solutions

Answer:

The average rate of change of h(x) in the given interval is 7.

Step-by-step explanation:

When we want to find the average rate of change of a function f(x), in an interval a < x < b, we just need to calculate:

[tex]r = \frac{f(b) - f(a)}{b - a}[/tex]

Here we have:

h(x) = 2*x^2 - 7*x

And we want to find the average rate of change between x = 2 and x = 5

This will be:

[tex]r = \frac{h(5) - h(2)}{5 - 2} = \frac{(2*5^2 - 7*5) - ( 2*2^2 - 7*2)}{3} = \frac{15 - (-6)}{3} = \frac{21}{3} = 7[/tex]

The average rate of change of h(x) in the given interval is 7.

Answer:

- 5, 3, 11, 19, 27, 35

Step-by-step explanation:

Using the recursive rule and a₁ = - 5

a₂ = a₁ + 8 = - 5 + 8 = 3

a₃ = a₂ + 8 = 3 + 8 = 11

a₄ = a₃ + 8 = 11 + 8 = 19

a₅ = a₄ + 8 = 19 + 8 = 27

a₆ = a₅ + 8 = 27 + 8 = 35

The first six terms are - 5, 3, 11, 19, 27, 35

Answer:

1 : 2

Step-by-step explanation:

the ratio is 1 : 2

_____

Answer:C

Step-by-step explanation:because

Answer:

nah its a.

Step-by-step explanation:

bakit?(#boyinthebrainly)

Answer:

22h−9.25

Step-by-step explanation:

Answer:

[tex]y = \sqrt{900 - x^2[/tex]

Step-by-step explanation:

Given

From the complete question, we have:

[tex]r=30[/tex] --- radius

Required

Expression for the height of the roller coaster

We have:

[tex]x^2 + y^2 = r^2[/tex] --- equation of circle

Substitute 30 for r

[tex]x^2 + y^2 = 30^2[/tex]

[tex]x^2 + y^2 = 900[/tex]

Since the roller coaster is half of the circle, the height is defined by y.

So: make y the subject

[tex]y^2 = 900 - x^2[/tex]

Take square roots

[tex]y = \sqrt{900 - x^2[/tex]

Hence, the height is:

[tex]\sqrt{900 - x^2[/tex]

Answer: 0b1110

Step-by-step explanation: