Wacky Wizards offers beginner Advanced magic classes. the beginner costs 6 more than half the cost of the advanced class. Last week they taught 7 beginner classes and 11 advanced classes and earned $390. Write a system that represents the cost of the beginner class, b and the cost od advanced class, a

Answers

Answer 1

Answer:

if you’re looking for a equation it could be “ 24c + 15 = 687 “Step-by-step explanation:

Answer 2

Beginner courses cost $18 while advanced courses cost $24.

Let b represent the cost of the beginner classes and a represent the cost of advanced classes.

The beginner costs 6 more than half the cost of the advanced class. Hence:

b = a/2 + 6  

2b = a + 12

2b - a = 12    (1)

Last week they taught 7 beginner classes and 11 advanced classes and earned $390, Hence:

7b + 11a = 390   (2)

Solving equations 1 and 2 simultaneously gives: b =  18, a = 24

Beginner courses cost $18 while advanced courses cost $24.

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Related Questions


Write the equation of the line that passes through the points (-2,0) and (1,2).

Answers

Answer:

y = 2/3x + 1 1/3

Step-by-step explanation:

Find the slope using rise over run, (y2 - y1) / (x2 - x1)

Plug in the points:

(y2 - y1) / (x2 - x1)

(2 - 0) / (1 + 2)

2 / 3

= 2/3

Then, plug in the slope and a point into y = mx + b to solve for b:

y = mx + b

2 = 2/3(1) + b

2 = 2/3 + b

1 1/3 = b

Plug in the slope and y intercept into y = mx + b

y = 2/3x + 1 1/3 is the equation of the line

can someone help me out? i’m not sure what the answers would be for these 5, thanks.

Answers

Answer:

<6 and 4 are supplementary angles. Supplementary angles add up to 180. therefore <6 and <4=180--->m<6=65---->180-65=115--->   m<4-115

2. 115°

By using vertical angles theorem we see that angles opposite to each other like 5 and 8 are congruent.

Therefore m<8 = m<5

3. 122

<3 and <6 are congruent by the alternate interior angles theorem which states that interior angles that are opposite one another such as 6 and 3 are congruent.

4. 73°

<4 and <7 are supplementary since the <4 is equal to the <8 and the <8 is supplementary to 7.

180-107=73

5. 73°

Step-by-step explanation:

help this is for my friend

Answers

Answer: stop climbing the volcano im jk any way .7-10sec

A coordinate map of the local grocery store is shown below. Ice cream is located at the point (-8,0)(−8,0)left parenthesis, minus, 8, comma, 0, right parenthesis. Sprinkles are located at the point (-8,6)(−8,6)left parenthesis, minus, 8, comma, 6, right parenthesis. PLEASE HELP ME!!

Answers

Answer:

Step-by-step explanation:

If on the coordinate map, ice cream is located at the point (-8,0) and sprinkles are located at the point (-8,6), we can find the distance between the coordinate points using the formula;

D = √(x2-x1)²+(y2-y1)²

Given

x1 = -8, y1 = 0, x2 = -8 and y2 = 6

Substitute

D = √(x2-x1)²+(y2-y1)²

D = √(-8-(-8))²+(6-0)²

D = √0²+6²

D = √36

D = 6units

Hence the distance between the coordinate points is 6units

Translate each verbal phrase into an algebraic expression or equation.

1. Seven less than a number
2. The total of 5 and c
3. 7 less than m
4. The sum of a number and 16
5. the score increased by 8 points
6. The quotient of w and 10
7. 17 more than some number
8. $12 less than the original price

Answers

1. Seven minus n
2. 5+c

Solve each Equation using SRP
Follow the examples.
Equation
Solution Set
Correct?
x² = 16
{4,-4}
x2 = 10
{V10,-10)
x² = - 10
No real solutions
x² = 2
{:}
Not yet
x² = 25
{,}
Not yet
x2 = 21
{j}
Not yet
x2 = 30
{,}
Not yet
x² = -30
Not yet

Answers

Answer:

Step-by-step explanation:

{ √2 , - √2 }

{ 5 , - 5 }

{ √21 , - √21 }

{ √10 , - √10 }

No real solutions

What is the slope of the line?
2x-5y=9

Answers

Answer:

m(slope)=2/5

Step-by-step explanation:

y2-y1/x2-x1

Work out the value of the expression 2(a +5b) when a=4 and b=3

Answers

Answer:

38

Step-by-step explanation:

2(4+5(3))

2(4+15)

2(19)

38

Answer:

38

Step-by-step explanation:

2(4+5*3)

2(4+15)

2(19)

38

Good Morning Ethansledd17!
what is 54873578x958498=?

Answers

Answer: 5.259621477e13

Step-by-step explanation: Hoped this helped!!!

Answer:

5.2596215e+13

Step-by-step explanation:

hope it helps!

What is the equation of the line that is parallel to the line y = -1/3x + 4 and passes through the point (6, 5)?

y = -1/3x + 3
y = -1/3x + 7
y = 3x – 13
y = 3x + 5

Answers

The answer is the last one (D.)

what is the answer to -2x+10=40

Answers

Answer:

-15

Step-by-step explanation:

Answer:

x=-15

Step-by-step explanation:

Move all terms that don't contain x to the right side and solve

A 13-foot ladder is placed against a vertical wall of a building, with the bottom of the ladder standing on level ground 5 feet from the base of the building. How high up the wall does the ladder reach?
The ladder reaches ___ feet up the wall (round to the nearest humdredth)

Answers

Answer:

13^2-5^2=144 then u square root ur answer to get 12 ft up the wall

Step-by-step explanation:

Help
Describe a pattern in each sequence. Then find the next two terms of the difference.

1, 5, 25, 125, …

Answers

What happened in the 1920s that greatly lowered the price of cars (automobiles) and other consumer products?

1, 5, 25,  125

This is a geometric sequence since there is a common ratio between each term. In this case, multiplying the previous term in the sequence by

5 gives the next term. In other words,  an=a1⋅rn−1. Geometric Sequence: r=5

This is the form of a geometric sequence.an=a1rn−1 Substitute in the values of a1=1 and r=5.an=(1)⋅(5)n−1 Multiply (5)n−1 by 1. an=5n−1

Devin is buying 2 concert tickets. The concert tickets have a regular price of $40 each. Devin has a coupon that gives a 5% discount off of the regular price of the tickets. He will then pay a 10% purchasing fee on the discounted price of the tickets. What is Devin's total cost of the two tickets after the discount and the fee?

Answers

Given :

Devin is buying 2 concert tickets. The concert tickets have a regular price of $40 each.

Devin has a coupon that gives a 5% discount off of the regular price of the tickets. He will then pay a 10% purchasing fee on the discounted price of the tickets.

To Find :

Devin's total cost of the two tickets after the discount and the fee.

Solution :

Discount on price, D = 40×0.05 = $2 .

Price of product after discount, P = $( 40 - 2 ) = $38 .

Now, total price after adding purchasing fee is :

T = P + (P×0.10)

T = 38 + (38×0.10)

T = 38 + 3.8

T = $41.8

Therefore, Devin's total cost of the two tickets after the discount and the fee is $41.8 .

Hence, this is the required solution.

Find the slope of the line without graphing using the 2 points below.



(3 , 6) & (11, 6)



m = _______

Answers

Answer:

m = 0

Step-by-step explanation:

1. use the slope formula --> (y2-y1)/(x2-x1)

2. (6 - 6)/(11 - 3)

3. 0/8

4. m = 0

please help me i do not want to fail my class

Answers

Answer:

sdsdsdsdsdsd

Step-sdsdsdsdsd-step explanation:

Answer:

I think its 11

Step-by-step explanation:

10,24,26 determine whether the triangle is obtuse, right, acute, or not a triangle

Answers

Answer:

right triangle

Step-by-step explanation:

10 + 24 = 34

34 > 26

Therefore, there is a triangle.

Now we use the Pythagorean theorem.

10^2 + 24^2 = 100 + 576 = 676

26^2 = 676

Since 10^2 + 24^2 = 26^2, the triangle is a right triangle.

Which expression can be used to check the answer to 56 divided by (negative 14) =-4?

Answers

Answer:

-14x(-4)

Step-by-step explanation:

inverse operation i think its called

what's the answer to this question= 4(3x + 2) + 2(x + 3)
A. 12x + 16
B. 24x + 48
C. 10x + 2
D. 14x2 + 48
E. 14x + 14
F. 9x2 + 5

Answers

Answer:

[tex] \huge{ \boxed{ \bold{ \tt{14x + 14}}}}[/tex]

Option E is the best choice.

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Question : Simplify

4 ( 3x + 2 ) + 2 ( x + 3 )

Available options :

☐ 12x + 16

24x + 48

10x + 2

☐ 14x + 48

☑ 14x + 14

☐ 9x + 5

Step - by - step explanation :

[tex] \sf{4(3x + 2) + 2(x + 3)}[/tex]

Distribute 4 through the parentheses

[tex] \dashrightarrow{ \sf{12x + 8 + 2(x + 3)}}[/tex]

Distribute 2 through the parentheses

[tex] \dashrightarrow{ \sf{12x + 8 + 2x + 6}}[/tex]

Combine like terms. Only coefficients of like terms can be added or subtracted

[tex] \dashrightarrow{ \sf{12x + 2x + 8 + 6}}[/tex]

[tex] \dashrightarrow{ \sf{14x + 8 + 6}}[/tex]

Add the numbers : 8 and 6

[tex] \dashrightarrow{ \boxed{ \sf{14x + 14}}}[/tex]

Hope I helped!

Have a wonderful time ツ

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If a reflection over the line y=x occurs, then the rule for this reflection is

Answers

If you reflect over the line y = -x, the x-coordinate and y-coordinate change places and are negated (the signs are changed).

(For 5th graders)

150 divided by 10

Answers

Answer:

150 divided by 10 is 15

Hope This Helps!

What is the point slope form of a line with the slope -5 and point (2,-8)?

Answers

Answer:

-5x-y=27

Step-by-step explanation:

Plz give brainliest I am trying to rank up.

The triangles in the picture are congruent by which method

Answers

Answer:

ASA

Step-by-step explanation:

The triangles in the picture are congruent by ASA method

The third answer is correct

Manuel y Carlos encuentran un libro de matemática usado y en una de las hojas se observa la figura de un poliedro demasiado borrosa, pero se ven algunos datos sobre él que dicen: El poliedro tiene 12 aristas y la suma de su número de caras con su número de vértices es 14. Manuel afirma que se trata de un dodecaedro y Carlos dice que es un cubo. ¿Quién de ellos tiene la razón?

Answers

Answer:

Carlos tiene razón. El poliedro es un cubo.

Step-by-step explanation:

Comencemos analizando el número de caras del dodecaedro y del cubo.

El dodecaedro está conformado por 12 caras.

El cubo en cambio, está conformado por 6 caras.

En cuanto a aristas el dodecaedro tiene 30 aristas y en cambio el cubo tiene 12. Por ende, descartamos la idea de que el poliedro sea un dodecaedro.

Finalmente en cuanto a vértices, el dodecaedro tiene 20 vértices y el cubo tiene 8 vértices.

Si sumamos el número de caras y el número de vértices en el cubo obtenemos :

6 + 8 = 14

Con esto, verificamos que la figura borrosa es de un cubo y que Carlos tiene razón.

Solve for y
-20 = 5v
V=

Answers

Answer:

v=-4

Step-by-step explanation:

-20=5v

-20/5=5v/5

-4=very

3/4 divided by 2/3 in simplest form

Answers

9/8 because in dividing you multiply by the reciprocal so 3/4 x 3/2= 9/8

Answer:

1 1/8

Step-by-step explanation:

1. Keep, change, flip

3/4 x 3/2

2. Multiply

3/4 x 3/2= 9/8

3. Simplify

9/8= 1/18

rationalize the denominator of 1/√3​

Answers

Answer:

√3/3

Step-by-step explanation:

Multiply the numerator and denominator by the conjugate.

Hope this helps!! Please consider marking brainliest! Have a good one!!

Step 1: Multiply numerator and denominator by a radical that will get rid of the radical in the denominator.

If the radical in the denominator is a square root, then you multiply by a square root that will give you a perfect square under the radical when multiplied by the denominator.   If the radical in the denominator is a cube root, then you multiply by a cube root that will give you a perfect cube under the radical when multiplied by the denominator and so forth...

Note that the phrase "perfect square" means that you can take the square root of it.  Just as "perfect cube" means we can take the cube root of the number, and so forth.  

Keep in mind that as long as you multiply the numerator and denominator by the exact same thing, the fractions will be equivalent.

Step 2: Make sure all radicals are simplified.

Some radicals will already be in a simplified form, but make sure you simplify the ones that are not.  If you need a review on this, go to Tutorial 39: Simplifying Radical Expressions.

Step 3: Simplify the fraction if needed.

Be careful.  You cannot cancel out a factor that is on the outside of a radical with one that is on the inside of the radical.  In order to cancel out common factors, they have to be both inside the same radical or be both outside the radical.

[tex]\huge\sf\underline{\purple{❥}\pink{Q}\orange{U}\blue{E}\red{S}\green{T}\purple{I}\pink{O}\red{N}}[/tex]

rationalize the denominator of 1/√3

[tex]\huge\sf\underline{\purple{❥}\pink{A}\orange {N}\blue{S}\red{W}\green{E}\purple{R}}[/tex]

[tex] \frac{1}{ \sqrt{3} } \\ \\(to \: rationalize \: the \: denominator \\ we \: have \: multiply \: \frac{1}{ \sqrt{3} } \: to \: the \:given \: fraction \: \: \: ) \\ = \frac{1}{ \sqrt{3} } \times \frac{1}{ \sqrt{3} } \\ = ( \frac{1}{ \sqrt{3} } ) {}^{2} \\ = \frac{1}{3} [/tex]

HOPE IT HELPS YOU..

Hi. I need help with these
See image for question
Answer no 8 ,9 and 10

Answers

Answer:

8) 4 + 2q²/p² - 4r/p + r²/p²9) (3/4, -9/4)10) (3/8, 41/16)

Step-by-step explanation:

8. ============

Given

α and β are roots of px² + qx + r = 0

The sum of the roots is α + β = -q/p, the product of then roots αβ = r/p

(2 + α²)(2 + β²) =  4 + 2(α² + β²) + (αβ)² =4 + 2((α + β)² -2αβ) + (αβ)² =4 + 2((-q/p)² - 2r/p) + (r/p)² =4 + 2q²/p² - 4r/p + r²/p²

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

9. ============

Given function

y = 2x² - 3x - 1

The minimum point is reached at vertex

The vertex is:

x = -b/2ax = -(-3)/2*2 = 3/4

The corresponding y-coordinate is:

y = 2(3/4)² - 3(3/4) - 1 = 9/8 - 9/4 - 1 = 1/8(9 - 18 - 9) = - 18/8 = - 9/4

So the point is:

(3/4, -9/4)

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

10. ============

Given function

y = 2 - 3x - 4x²

The maximum is reached at vertex

The vertex is:

x = -b/2ax = -(-3)/2(-4) = -3/8

The corresponding y-coordinate is:

y = 2 - 3(-3/8) -4(-3/8)² = 2 + 9/8 - 9/16 = 1/16(32 + 18 - 9) = 41/16

So the maximum point is:

(3/8, 41/16)

please help brainliset, thanks, and five star

Answers

Answer:

15x+30y-220

Step-by-step explanation:

[tex]30(\frac{1}{2}x-2)+40(\frac{3}{4} x-4 )\\\\(15x-60)+(30x-160)\\\\15x+30y-220[/tex]

Your answe will be answer 3

I need answers to the questions I didn't do
Also are the ones that I did right?
please help me with this ASAP

Answers

Question 6: 14x+28
Question 5: 5x+20y

Yes the other ones are right
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