A young Witch flew her broom 48 miles form her home to a witch festival. Flying with the wind, the trip took 3 hours. Her flight home against the wind took 4 fours. find the speed of the wind and the speed of the broom in still air

Hey there!

Let's solve your equation step-by-step.

[tex]\fbox{5y−6=2y(9)−32}[/tex]

Step 1: Simplify both sides of the equation.

[tex]\fbox{5y−6=2y(9)−32}[/tex]

[tex]\fbox{5y+−6=18y+−32}[/tex]

[tex]\fbox{5y−6=18y−32}[/tex]

Step 2: Subtract 18y from both sides.

[tex]\fbox{5y−6−18y=18y−32−18y}[/tex]

[tex]\fbox{−13y−6=−32}[/tex]

Step 3: Add 6 to both sides.

[tex]\fbox{−13y−6+6=−32+6}[/tex]

[tex]\fbox{−13y=−26}[/tex]

Step 4: Divide both sides by -13.

[tex]\fbox{−13y/−13 = −26/−13}[/tex]

[tex]\fbox{y=2}[/tex]

Answer:

[tex]\fbox{y=\fbox{2}}[/tex]

An equation is formed of two equal expressions. The amount that is left with Ian to spend is 855,764 won.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The total expenses that Ian has to do are the cost of an extended travel pass, cost of plane tickets, cost of food, and cost of his hotel room. Therefore, the total cost can be written as,

Total Cost =  Cost of an extended travel pass + Cost of plane tickets + Cost of food + Cost of his hotel room

Total Cost = 85,210 won + 725,726 won + 203,396 won + 322,800 won

                  = 1,337,132 won

The budget for the entire trip of Ian is 2,192,896 won, while his total expenditure is 1,337,132 won, therefore, the amount that will be left for spending by Ian can be written as,

Amount left for Spending  = Total Budget - Total Cost

                                            = 2,192,896 won - 1,337,132 won

                                            = 855,764 won

Thus, the amount left with Ian to spend is 855,764 won.

Learn more about Equation:

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Answer:

Ian is preparing for his trip to South Korea. He has a total budget of 2,192,896 won for his entire trip. If he calculates that he will need 85,210 won for an extended travel pass, 725,726 won for his plane tickets, 203,396 won for food, and 322,800 won for his hostel room, how much does he have left for spending money and miscellaneous expenses?

a.   1,337,132 won

b.   1,026,184 won

c.   855,764 won<<<CORRECT

d.   830,456 won

Step-by-step explanation:

2022 EDGE TOPIC TEST

Answer:

100.

Step-by-step explanation:

The 2 smaller triangles are similar, so:

48 / (x - 64) = 64 / 48

64(x - 64) = 48^2

x - 64 = 48^2/64

x = 48^2/64 + 64

= 100.

Answer:

x = 17.9

Step-by-step explanation:

[tex]tan40^{0} =\frac{15}{x}[/tex]

[tex]x=\frac{15}{tan40^{0} } =17.88[/tex]

rounded: 17.9

Hope this helps

Answer:

  3x³ and 6x³, y and 7y

Step-by-step explanation:

Like terms have variables with the same exponents. This fact eliminates choices A, C, D.

The like terms are ...

  3x³ and 6x³, 7y and y . . . . . . choice B

Answer:

63 yd³

Step-by-step explanation:

1 cube = ⅓ of a yard

B = 7 cubes

H = 9 cubes

D = 3 Cubes

Volume = BHD

Volume = 3 x 9 x 7

9 x 7 = 63

63 x 3 = 189

189 x ⅓ = 63.

The expression which represents the volume of the prism, in cubic units, is one-half x³+ x².

Volume of prism is the amount of quantity, which is obtained in it in the 3 dimensional space. The volume of a prism is the product of the area of its base and height.

[tex]V=A_b\times h[/tex]

Here, ([tex]A_b[/tex]) is the area of the base and (h) is the height of the prism.

The side of the base of the triangular prism is x units. Thus the area of the base is,

[tex]A_b=\dfrac{x\times x}{2}\\A_b=\dfrac{x^2}{2}[/tex]

The height of this prism is (x+2) units long. Thus, the volume of the prism is,

[tex]V=\dfrac{x^2}{2}\times (x+2)\\V=\dfrac{1}{2}x^3+x^2[/tex]

Thus, the expression which represents the volume of the prism, in cubic units, is one-half x³+ x².

Learn more about the volume of a prism here;

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Answer:

1. A- 1/2x^3

2. 168

3. 927

4A. 48

4B. 336

5. A D

6. 1 3 3

7. 12 cm

8. 8 , 4

9. B

10. A C D

Step-by-step explanation:

whole thing right on edge

This being a piecewise function, trying to solve f(2), we must find which two equations we can use.

We can use the function '3x + 1' because its domain is 'x is greater than or equal to 2

   --> f(2) = 3(2) + 1 = 7

Hope that helps!

Jessica’s adjusted balance for October with 3 purchases and 2 payments comes to be $1136.71.

In this method payment done by the borrower in between the month is adjusted in the final balance on which interest is to be levied.

Details of transactions for the month of October are given as:

Date     Transaction/amount            Details

10/1             $1,240.55                   beginning balance

10/2            $36.43                            purchase

10/10           $75.00                            payment

10/13          $131.79                             payment

10/20          $41.52                             purchase

10/22          $25.00                            purchase

Total balance at the end of October

= 1240.55+36.43-75-131.79+41.52-25

Total balance at the end of October =$1136.71

Therefore, Jessica’s adjusted balance for October is $1136.71.

To get more about the adjusted balance method visit:

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Answer: b.) 1,033.76

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

have a good day n ily :)

Answer:

he arrived at 11:05 am.....

Answer:

12:25pm

Step-by-step explanation:

10:30 + 40 minutes = 11:10

11:10 + 1hr and 15 mins = 12:25

Answer:

h = 0.79591836734694 m

Step-by-step explanation:

h = height

s = slant height

a = side length

P = perimeter of base

e = lateral edge length

r = a/2

V = volume

L = lateral surface area

B = base surface area

A = total surface area

Answer:

14.6

Step-by-step explanation:

Answer:

the anwer is d

I did the math

Answer:

x=-2, y=-9

Step-by-step explanation:

Given that:

[tex]\begin{bmatrix}3x+y=-15\\ 2x-3y=23\end{bmatrix}[/tex]

Solution:

[tex]\mathrm{Isolate\;x\;for\;3x+y=-15:x=\frac{-15-y}{3}}[/tex]

[tex]\mathrm{Substitute\:}x=\frac{-15-y}{3}[/tex]

[tex]\begin{bmatrix}2\cdot \frac{-15-y}{3}-3y=23\end{bmatrix}[/tex]

Simplify to:

[tex]\begin{bmatrix}\frac{-30-11y}{3}=23\end{bmatrix}[/tex]

[tex]\mathrm{Isolate\;y\;for\;\frac{-30-11y}{3}=23:y=-9}[/tex]

[tex]\mathrm{For\:}x=\frac{-15-y}{3}[/tex]

[tex]\mathrm{Substitute\:}y=-9[/tex]

[tex]x=\frac{-15-\left(-9\right)}{3}[/tex]

Solve:

[tex]x=-2[/tex]

Hence the answer is:

[tex]x=-2,\:y=-9[/tex]

~lenvy~

Answer:

C

Step-by-step explanation:

this was quite the toungue twister

Answer:

1.[tex]8m-2n[/tex]
2.[tex]-2b+5[/tex]
3.[tex]-8c+46[/tex]

Step-by-step explanation:

Given the following questions:

[tex]3m-2n+5m[/tex]
[tex]-b-b+5[/tex]
[tex]50-9-8c+5[/tex]

To simplify the following we are going to have to regroup and combine like terms which means we are going to use inverse of operations on terms with similar variables.

Question one:
[tex]3m-2n+5m[/tex]
[tex]3m-2n+5m=3m+5m-2n[/tex]
[tex]3m+5m-2n[/tex]
[tex]3m+5m=8m[/tex]
[tex]=8m-2n[/tex]

Question two:
[tex]-b-b+5[/tex]
[tex]-b-b=-b+-b=-2b[/tex]
[tex]=-2b+5[/tex]

Question three:
[tex]50-9-8c+5[/tex]
[tex]50-9-8c+5=-8c+50-9+5[/tex]
[tex]-8c+50-9+5[/tex]
[tex]50-9=41[/tex]
[tex]-8c+41+5[/tex]
[tex]41+5=46[/tex]
[tex]=-8c+46[/tex]

Which means your answers are "8m - 2n, -2b + 5, and -8c + 46."

Hope this helps.

Answer:

1 5/32

Step-by-step explanation:

this is the answer

Answer:

The correct answer is 1 5/32

Step-by-step explanation:

First,convert both of the mixed numbers into improper fractions.Next,do the KCF method.Keep,change,and flip.First,like up 4 5/8 and 2 1/2 next to eachother with a multiplication sign in the middle.(Must be in this order!!)Next,turn the multiplication sign into a division sign.After this,change the second mixed number,and flip the denominator and the numerator.Then simply multiply the top numerators and the denominators.That is where you get you answer, Simplifying may be needed. :)

Answer:

I think its 3,4 maybe

Step-by-step explanation:

try it out but I'm not sure

Answer:

The states of the variables must be equal to the equations of the whole equation, There is no relative extreme in this equation, so its derivative y = 10

Step-by-step explanation:

[tex]y = 600 + 10x = f(x) = 600 + 10x[/tex]

[tex]y = 10[/tex]

Answer:

0

Step-by-step explanation:

-4, -2, 0

the 3rd number is always a 0 so if you do the sequence 78 times the 78th term will be a 0

so the equation is 1 1/3 ÷ 1 2/5

simpilify it

4/3 ÷ 7/5

since its division, you want to make it multiplication to you switch the fractions around.

you get the equation 3/2 * 5/7

which is 15/14

that converted to a improper fraction is 1 1/14

answer: 1 1/14

Answer:

[tex]2m[/tex]

Step-by-step explanation:

Alrighty let's do this.

We know that formula for the Area of a triangle is:

[tex]A = \frac{1}{2}bh[/tex]

They give us the area as [tex]6m^2[/tex], so let's include it in the equation.

[tex]6 = \frac{1}{2}bh[/tex]

Now we reach a stage where we have 2 unknown variables! That means we can't solve it in its current state. So the idea you should have in cases like these where you have 2 or more unknown variables is, "Can I represent this one variable in terms of another variable?" In this case you can do exactly that. You can represent height in terms of length of the base. We are told the height of the triangle is 4 meters less than the base. That is telling us that [tex]h = b-4[/tex]

So replace [tex]h[/tex] in the equation with [tex]b-4[/tex].

You will now get:

[tex]6 = \frac{1}{2}b(b-4)[/tex]

Now we can work towards solving. Let's get simplifying.

[tex]12 = b(b-4)\\12 = b^2 - 4b\\[/tex]

bring everything to one side so we can make a quadratic and factor:

[tex]0 = b^2 - 4b - 12\\0 = (b-6)(b+2)\\\\b = 6\\b\neq -2[/tex]

We get that [tex]b=6[/tex].

Since we need the height of the triangle we'll need to call back on what h is. We found earlier that [tex]h = b - 4[/tex], so to find h, we just sub in our b value into that.

[tex]h = (6) - 4 = 2[/tex]

We find that [tex]h=2[/tex]

Answer:

The base is equal to 30

And the Hight is equal to 15

Step-by-step explanation:

30 * 15 ÷2 = 225

Answer:

60%

Step-by-step explanation:

Formula:

Percentage decrease = (amount of decrease)/(original price)

✪ Solve ✪

3.85 - 1.54/3.85 x 100

2.31/3.85 x 100 = 60%

Hence, Percent decrease is 60%

~Lenvy

Answer:

[tex]\frac{ \sqrt{3} }{2} [/tex]

Step-by-step explanation:

[tex] \cos \bigg( \frac{11\pi}{6} \bigg) \\ \\ = \cos \bigg( 2\pi - \frac{\pi}{6} \bigg) \\ \\ = \cos \bigg(\frac{\pi}{6} \bigg) \\ \\ = \frac{ \sqrt{3} }{2} [/tex]

Answer: ≈ 4.

Step-by-step explanation: In order to solve this, you need to turn this into an addition problem.  In order to do that, we need to transform the 3 into a fraction:

3/1 + 175/349.

Solve:

3/1 + 175/349 = 3.50143266 or ≈ 4.

Have a great day! :)

Answer:

4

Step-by-step explanation:

Convert the mixed fraction into decimal form using a calculator

[tex]\rightarrow 3\dfrac{175}{349} = 3.501 \ \ \ \ \ \text{(Upto three dp)}[/tex]

Since the number in decimal form is about 0.002 more than 3.49, the number will round up to 4 (Nearest whole number).