Bill is purchasing accordion lessons. There is a $20 materials fee and each lesson costs $15. Write an equation for the situation and then determine how many lessons Bill took if his total cost was $125.

Answers

Answer 1

Answer:

The equation is 20 + 15x. Bill took 7 lessons.

Step-by-step explanation:

Let x represent the number of lessons Bill take. Then,

the total cost = materials fee + (each lesson cost).x

Since the materials fee is $20 and each lesson costs $15

The total cost = 20 + 15x

Since Bill's total cost was $125:

→ 125 = 20 + 15x

→ 105 = 15x

→ x = 7


Related Questions

Simplify an Expression
Quick
Check
Simplify each expression involving signed numbers
-7-2=
12 + (-4)= |
-3(-6) = 1
18

Answers

Answer:

-10827

is the answer for your question I think

Answer:

[tex]-9[/tex]

[tex]8[/tex]

[tex]18[/tex]

Step-by-step explanation:

[tex]-7-2=-9[/tex]

[tex]12+(-4)=8[/tex]

[tex]-3(-6)=18[/tex]

The square of a number I see equal to two less than three times the number. What are two possible values of the number? A. 1,2 B. -1,2 C. 1,-2 D. -1,-2 E. 2,3

Answers

Answer:

Option A

Step-by-step explanation:

Let us take this number as x, translating this description of the equation into mathematical language;

[tex]x^2 = 3x - 2[/tex]

Now let us solve for x;

[tex]x^2 = 3x - 2,\\x^2+2=3x-2+2,\\x^2+2=3x,\\x^2+2-3x=3x-3x,\\x^2-3x+2=0,\\\\Factored = \left(x-1\right)\left(x-2\right)=0,\\Zero Factor Principle, \\x = 1, x = 2\\\\Solution - Option A[/tex]

* Note that for the the previous problem I solved, I set up a similar equation that had two values for the width, one negative and the other positive. Now the width could only be a positive number, so there was only one solution out of the two.

What are the factors of 36xyz?

A. 36,x,y
B. 36x,y,z
C. x,y,z
D. 36,x,y and z

Answers

Answer:

ç

Step-by-step explanation:

Can someone help meee!

Answers

Answer:

X intercept = 4

Y intercept = -4

Step-by-step explanation:

X-intercept is when the graph crosses the X-axis or where the y is 0 for a X value. Here the (4,0) is where Y is 0 for a given x value and you see the graph crosses it on X-axis thus X intercept is 4.

Y-intercept is when the graph crosses the Y-axis or where the x is 0 for a Y value. Here the (0,-4) is where X is 0 for a given Y value and you see the graph crosses it on Y-axis thus Y intercept is -4.

Hey everyone! Please help me figure this out...

Answers

Answer:

See below

Step-by-step explanation:

0.82=82/100=82%

22%=22/100=0.22

3/4=0.75=75/100=75%

0.8=0.80=80/100=80%

Hope this helps!

Answer:

column 2: 41/50, 0.82, 82%

column 3: 11/50, 0.22, 22%

column 4: 3/4, 0.75, 75%

column 5: 4/5, 0.80, 80%

4. The sales price of a car is $12,590, which is 20% off the original price. What is the original price?
1. $14,310.40
2. $14,990.90
3. $15,290.70
4. $15,737.50
5. $16,935.80

Answers

Answer:

12590/80*100 = $15,737.50 4. Is your Answer

Step-by-step explanation:

12590 is 80% so simply divide by 80 and multiply by 100 to get the answer.

please help with this

Answers

Answer:

37

Step-by-step explanation:

Using the Pythagorean theorem:

[tex]x=\sqrt{12^2+35^2}=\sqrt{144+1225}=\sqrt{1369}=37[/tex]

Hope this helps!

What is a rigid motion?

Answers

Answer:

Rigid motion is otherwise known as a rigid transformation and occurs when a point or object is moved, but the size and shape remain the same. This differs from non-rigid motion, like a dilation, where the size of the object can increase or decrease.

Step-by-step explanation:

The point (2,9) lies on a circle and the center of the circle is at the point (2,1). What is the equation of this circle? A. (x - 2)2 - (y - 1)2 = 64 B. (x - 2)2 + (y - 1)2 = 64 C. (x + 2)2 + (y + 1)2 = 64 D. (x - 1)2 - (y - 2)2 = 8

Answers

Answer:

B:(x-2)^2+(y-1)^2=64

Step-by-step explanation:

center is (2,1), point is (2,9)

so the radius=9-1=8

(x-2)^2+(y-1)^2=64

Kaleb looks at a tennis court and uses a geometric term to describe two lines that cross at a right angle. What term could use Kaleb use? A. Acute angle B. Parallel lines C. Perpendicular lines D. Straight angle

Answers

C. perpendicular line

This is because a perpendicular line is when two line bisect at a 90 degree angle

Hope this helps! :)

are the ratios 1:3 and 4:12 equivalent

Answers

Answer:

Yes.

Step-by-step explanation:

When you simplify the ratio of 4:12, dividing it by 4, you will get 1:3.

Answer:

Yes it is equivalent

Step-by-step explanation:

Yes because 1*4= 4

And 3*4=12

That is 1/3 is equivalent to 4/12

You can say that 1:3 is in proportion with 4:12

or 1:3::4:12

A rectangular garden has dimensions of 12 feet by 20 feet. The homeowner wants to increase each dimension by 20%.

A. Find the original perimeter and area of the garden

B. Find the perimeter and area of the garden with a 20% increase in each dimension.

C. By what percent will the perimeter increase? By what percent will the area increase?

D. Explain why the area and perimeter will not increase by the same percentage.

Answers

Answer:

w=12 ft

l= 20 ft

A.

P= 2(12+20)= 64 ft

A= 12*20= 240 ft²

B.

P=2(12*1.2+20*1.2)= 76.8 ft

A= 12*1.2*20*1.2= 345.6 ft²

C.

(76.8-64)/64*100%= 20%

(345.6- 240)/240*100%= 44%

D.

perimeter increase is linear function of one dimension increase

area increase is function of 2 dimensions increase

A bottle of iron supplement has 45g of iron in 330ml of solution. How many grams of iron are in
100ml of solution?

Answers

Answer:

45 * 100 / 330 = amount in 100 ml of solution

13.6363636364  grams

Step-by-step explanation:

Solve for n.
2/3 (1 + n ) = -1/2n

Answers

Answer: -4/7

Step-by-step explanation:

2/3 (1 + n ) = -1/2n

2/3 + 2/3n = -1/2n

Multiply both sides by 6

4 + 4n = -3n

4n + 3n = -4

7n = -4

Divide both sides by 7

n = -4/7

Answer:

Answer above its explained fully

how do I solve: 8 – (m - 3) = 7 – 3m​

Answers

Answer:

m=-2

Step-by-step explanation:

8-(m-3)=7-3m

8-1(m)-1(-3)=7-3m

8-m+3=7-3m

-m+3m+8+3=7-3m+3m

2m+8+3=7

2m+11=7

2m=-4

m=-2

Hope this helps!

Step-by-step explanation:

So, this is how you do it.

A woman hikes 503 m, turns and jogs 415 m, turns again and runs 365 m returning to her starting point.

What is the area of the triangle
formed by her path?

Round to the nearest tenth. ​

Answers

Answer:

74594.2 m

Step-by-step explanation:

Heron's formula

area=sqrt(p(p-a)(p-b)(p-c)) where p=(a+b+c)/2

[tex]\sqrt{641.5(641.5 - 503)(641.5 -415)(641.5 - 365)}[/tex]The total amount of area of the triangle which she has covered is 74594.17.

What is a triangle?

A triangle is a closed, 2-dimensional shape with 3 sides, 3 angles, and 3 vertices.

In a triangle, the sum of all three angles is 180°

Triangle is a very common figure to deal with our daily life for example in our daily life to measure the height of any tower then there is a huge application of the right angle triangle.

Area of triangle = 1/2 ×base ×height.

Given that A woman hikes 503 m, turns and jogs 415 m, turns again, and runs 365 m returning to her starting point

so the triangle which is made by the woman(no matter what kind of triangle is) has a side as

A = 503m , B = 415m , C = 365m

Now S = (A + B + C)/2

S = (503 + 415 + 365)/2

S = 641.5

Now the area of a triangle is given by

Area = [tex]\sqrt{S(S - A)(S -B)(S - C)}[/tex]

Area = [tex]\sqrt{641.5 (641.5 - 503)(641.5 -415)(641.5 - 365)}[/tex]

Area = 74594.17 hence, the area of the triangle will be this.

For more information about triangle

https://brainly.com/question/2773823

#SPJ6

Please help! Correct answer only!

There are 10 cards in a hat, numbered 1 to 10. The game is to draw one card out of the hat. If the number you draw is even, you win $30. If the number you draw is odd, you win nothing. If you play the game, what is the expected payoff?

$___

Answers

Answer:

$15

Step-by-step explanation:

Since there are 10 cards and a total possible prize of 30 dollars, the probability for each one is 30/10=3 dollars. And since 5 out of the 10 are even, you can multiply the individual amount by 5 to get a total estimated payout of $15. Hope this helps!

Can someone help me with math please?

Answers

Answer:

Multiply 60 by 2.5 centimetres

60×2.5=150

Topic: Probability


Only complete question 9.

Answers

Answer:

see below

Step-by-step explanation:

a. H 1, H2 ,H3  T1 ,T2, H3

b  6 possible outcomes

c 2 outcomes for the coin ( h,T) 3 outcomes for the spinner

2*3 = 6

Find the area and perimeter of a square that has a side length of 4. Remember area is a length times width and perimeter is when you add all the sides together.

Answers

Answer:

Area= 16

Perimeter= 16

Answer:

A = l*w

P = 2l + 2w

A = 4*4 = 16

A = area

l = length

l = 4

w = width

w = 4

The area is equal to 16.

P = 2*4 + 2*4 = 16

P = perimeter

2l = 2*length

2l = 2*4

2w = 2*width

2w = 2*4

The perimeter is equal to 16.

It can be concluded both are equal to each other.

Hope this helps

PLEASE HELP ME SHOW ME HOW U GOT YOUR ANSWER PLZ AND THANK U

Answers

Answer:

2/3

Step-by-step explanation:

There are 6 marbles in the jar

4 are not purple

P(not purple) = marbles that are not purple/ total marbles

                      = 4/6 = 2/3

Answer:

2/3

Step-by-step explanation:

since there are 6 total marbles and 4 of them are colors other than purple, there is a 4/6 chance of drawing a marble that is not purple which can be simplified to 2/3.

the two-way table below shows the intended careers among the incoming class of first-year college students, divided by gender. If a student is chosen and random, what is the probability of the student is female who intends to be a research scientist?​

Answers

Answer:

c. 2.2%

Step-by-step explanation:

The total number of all students in all fields, male and female is 4663.

There are 103 female research scientists.

p(female scientist) = 103/4663 = 0.022 = 2.2%

There is a bag filled with 3 blue and 5 red marbles.
A marble is taken at random from the bag, the colour is noted and then it is not replaced.
Another marble is taken at random.
What is the probability of getting exactly 1 red?

Answers

Answer:

4/6 chance

One is taken at random, we do not know the colour so we just take away 1 from both colours, this leaves us with 4/6 chance.

Pls solve for x. (Pls show step by step explanation)
3(x-2)+7x=1/2(6x-2)

Answers

Answer:

x=5/7

Step-by-step explanation:

Distribute

3x-6+7x=3x-1

Combine Like Terms

10x-6=3x-1

7x-6=-1

7x=5

x=5/7

Answer:

[tex]x=5/7[/tex]

Step-by-step explanation:

[tex]3(x-2)+7x=1/2(6x-2)[/tex]

Use algebraic distribution.

[tex]3x-6+7x=3x-1[/tex]

Add like terms.

[tex]10x-6=3x-1[/tex]

Add [tex]-3x[/tex] and [tex]+6[/tex] on both sides of the equation.

[tex]10x-3x=-1+6[/tex]

Add and subtract.

[tex]7x=5[/tex]

Divide [tex]7[/tex] on both sides of the equation.

[tex]x=5/7[/tex]

What is the diameter of the smallest circle that would enclose 2,000 pennies?

Answers

Answer:

Almost about 4500 mm

Step-by-step explanation:

Measure the pennies width and estimate. Multilpy by 2000 and there you go!

Rewrite the expression 24x - 12 using the distributive property

Answers

Answer:

12(2x-1)

Step-by-step explanation:

24x - 12

Factor out a 12 from each term

12*2x -12*1

12(2x-1)

Answer:

[tex]12(2x - 1)[/tex]

Step-by-step explanation:

[tex]24x - 12[/tex]

Factor out a 12 from each

[tex]24x - 12 \\ 12(2x - 1)[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

(2x+3)²=125 find x
with full solution please​

Answers

Answer:

x = ± ( 5√5 - 3 ) / 2

Step-by-step explanation:

We are given the equation ( 2x + 3 )² = 125;

[tex]( 2x + 3 )^{ 2 } = 125 - Take Square Root on Either Side,\\| 2x + 3 | = \sqrt{ 125 } - Simplify Square Root of 125,\\\\| 2x + 3 | = \sqrt{ 5 * 25 } - Simplify Further,\\| 2x + 3 | = 5\sqrt{ 5 } - Take | |,\\\\2x + 3 = 5\sqrt{ 5 } , and , 2x + 5 = - 5\sqrt{ 5 } - Algebra, \\2x = 5\sqrt{ 5 } - 3 , and , 2x = - 5\sqrt{ 5 } - 3 - Divide Either Side by 2\\\\x = ( 5\sqrt{ 5 } - 3 ) / 2, and , x = ( - 5\sqrt{ 5 } - 3 ) / 2\\Conclusion ; x = ( + / - 5\sqrt{ 5 } - 3 ) / 2[/tex]

Solution ; x = ± ( 5√5 - 3 ) / 2

10+12+14+...+(2n)=90 n=?

Answers

Answer:

n=10

Step-by-step explanation:

The given equation is  

[tex]10+12+14+...+2n=90[/tex]        ...(1)

Let nth term is 2n.

We need to find the values of n.

It is clear that [tex]S_n=10+12+14+...+2n[/tex] is sum of A.P., whose first term is 10 and common difference is 2.

Sum of A.P. is  

[tex]S_n=\dfrac{n}{2}[2a+(n-1)d][/tex]

where, a is first term and d is common difference.

Substitute a=10 and d=2 in the above formula.

[tex]S_n=\dfrac{n}{2}[2(10)+(n-1)2][/tex]

[tex]10+12+14+...+2n=n[10+n-1][/tex]

[tex]10+12+14+...+2n=n[9+n][/tex]     ...(2)

From (1) and (2), we get

[tex]n(9+n)=90[/tex]

[tex]n^2+9n-90=0[/tex]

Splitting middle term, we get

[tex]n^2+15n-6n-90=0[/tex]

[tex]n(n+15)-6(n+15)=0[/tex]

[tex](n+15)(n-6)=0[/tex]

[tex]n=-15,6[/tex]

Since, n represents the number of terms so n cannot be a negative number, therefore number of term is 6.

Note: nth term and variable n both are different.

[tex]a_n=a+(n-1)d[/tex]

[tex]a_6=10+(6-1)2=10+10=20[/tex]

Sixth term is 20. So,

[tex]2n=20[/tex]

[tex]n=10[/tex]

Therefore, the value of n is 10.

Help please
What are the coordinates of the hole in the graph of the function?

f(x)=x2−3x−10/x−5
Enter your answer in the boxes.

Answers

Answer:

  (5, 7)

Step-by-step explanation:

A hole is found in the graph of a rational function where numerator and denominator factors cancel each other.

The x-coordinate of the hole is the value of x that makes the factor zero. The y-coordinate of the hole is the value of the simplified function after the cancelled factors are removed. It is the limit of the function value as x approaches the hole location.

__

  [tex]f(x)=\dfrac{x^2-3x-10}{x-5}=\dfrac{(x+2)(x-5)}{x-5}=x+2\qquad x\ne 5[/tex]

The hole is found at x = 5. The limit of the function value as x approaches 5 is 5+2 = 7. The coordinates of the hole are (5, 7).

, 8 technicians can test 560 samples in 36 hours. How long
(in days) can 15 technicians'test 525 samples?

Answers

Answer:

0.75 days (im a bit unsure but i tried my best, hope this helps :) )

Step-by-step explanation:

If it takes 8 technicians 36 hours to test 560 samples, find how many technicians can test 525 samples.

8: 560

x: 525

x= 7.5 (which is considered 7)

Then, find how long it takes to sample 525 samples, when 560 are done in 36  hours;

560: 36

525: x

x= 33.75 (which is considered 34 hours)

The last step is to check how long 15 technicians take to sample 525 samples when 8 can do the same number in 34 hours. this is inverse proportion so dont forget to flip one numerator and denominator

8; 34

15; x

it will become

15:34

8: x

x= 18 hours

Divide by 24 for days hence 0.75 days

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