Given :
The Learning Center charges a one-time fee of $26 plus $10 per piano lesson.
Guitar lessons have a one-time fee of $36 plus $8 for each lesson.
To Find :
After how many lessons will the cost of learning to play piano be the same or more than learning to play guitar.
Solution :
Mathematical expression of piano lesson :
[tex]P_1=26+10x[/tex]
Mathematical expression of guitar lesson :
[tex]P_2=36+8y[/tex]
( Here, x and y are number of lessons )
Let, after t hours cost of learning to play piano be the same or more than learning to play guitar.
Now, given constraint :
[tex]P_1 \geq P_2\\\\26+10t \geq 36+8t\\\\2t \geq 10\\\\t\geq 5[/tex]
Hence, this is the required solution.
máximo comun divisor de 20 12 36
Answer:
El procedimiento para hallar el MCD de 12, 20, 36:Descomponer los números en su factores primos
12 2 6 2 3 3 1
20 2 10 2 5 5 1
36 2 18 2 9 3 3 31
Factores primos de 12 = 22 . 3
Factores primos de 20 = 22 . 5
Factores primos de 36 = 22.32
MCD = 21 = 2
Step-by-step explanation:
Find the reciprocal of the following rational number
Answer:
where are the numbers
Step-by-step explanation:
What is 24.9% to a fraction in simplest form?
Answer:
The answer is 249/1000
Step-by-step explanation:
Can someone pleasee help I’ll mark brainlist!!!
Answer:4/C
Step-by-step explanation:
Answer:
2.4
It is the 1st one
Step-by-step explanation:
There are 60 min in 1 hour so divide 60/20min = 3
Then multiply 4/5*3 = 2.4
HOpe this helps
Written as a simplified polynomial in standard form, what is the result when
(3x – 2)2 is subtracted from 4x?
Answer:
Yes, will be
[tex](3x - 2)2 = 6x - 2 = 4x[/tex]
Because the 4x it doesn't t affect the 6x and the 6x is
[tex]6 \times x[/tex]
So the result will be 4x
Answer:
-9x^2 + 16x - 4
Step-by-step explanation:
Need help pls I dot understand
What is the value of -2/5 divided by 6/8 PLEASE HELPPP
Answer:
The steps to do :
[tex] - \frac{2}{5} \div \frac{6}{8} [/tex]
[tex] = - \frac{2}{5} \times \frac{8}{6} [/tex]
[tex] = - \frac{1}{5} \times \frac{8}{3} [/tex]
[tex] = - \frac{1 \times 8}{5 \times 3} [/tex]
[tex] = - \frac{8}{15} [/tex]
Need help ASAP, Tysm to anyone who responds!
Answer:
320
Step-by-step explanation:
2(-7)²-8(-7)(4)-√4=
98-(-224)-2=
98+224-2=
322-2=
320
if the area of the rectangle is given by the polynomial 2x-7-15 what is the dimension of the rectangle in terms of x
Answer:
2-7x
Step-by-step explanation:
hope i helped gl <360 people attend a game night. Everyone chooses to play chess, a two-player game, or cribbage, a four-player game. All 60 people are playing either chess or cribbage.
There are 3 more games of cribbage being played than games of chess being played. How many of each game are being played
Answer: 8 chess matches and 11 cribbage matches.
Step-by-step explanation:
60 people, 4 people play a match of cribbage, so if theres 3 more matched than chess we can subtract that from the total 60 to get the answer. 3x4=12 60-12=48, 2 people per chess game and 4 people per cribbage game add them 6, 48 divided by 6 since its an even amount now, 48/6=8 add 8 matched to the remaining 3 for the cribbage.
8 chess games are being played while 11 cribbage games are being played.
Let x represent the number of chess games and y represent the number of cribbage games.
Since there are 60 people, chess is a two-player game and cribbage is a four-player game, hence:
2x + 4y = 60 (1)
There are 3 more games of cribbage than games of chess, hence:
y = x + 3
-x + y = 3 (2)
Solving equations 1 and 2 simultaneously gives:
x = 8, y = 11
Therefore 8 chess games are being played while 11 cribbage games are being played.
Find out more at: https://brainly.com/question/21105092
Choose the correct equation to solve the problem: Five friends equally split a restaurant bill that comes to $32.50. How much does each person pay?
x/5 = 32.50
5x = 32.50
x + 5 = 32.50
x - 5 = 32.50
if you ride your bike around the block, returning to the exact point where you started, your displacement is _____m?
help please <3
Answer:
tbh idek
Step-by-step explanation:
sorryyyyyyyyyy
1
What is the measure of angle x?
64°
X
45
109
64
180
71
Answer:
A
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
x is an exterior angle of the triangle, thus
x = 64° + 45° = 109° → A
Answer:
A
Step-by-step explanation:
64+45=109
180-109=71
180-71=109 *
*This step is only if you want to check your work!
Karen cut away 49 centimeters of rope. Before that, she had 807.49 centimeters of rope. How much rope does Karen have left?
Answer:
758.49 cm
Step-by-step explanation:
1. Subtract
8 0 7 . 4 9
4 9 . 0 0
7 5 8 . 4 9
Triangle FGH is graphed on the coordinate plane below.
On a coordinate plane, triangle F G H has points (negative 6, negative 8), (negative 2, negative 3), (negative 4, negative 2).
The figure is rotated 180° using the origin as the center of rotation. How do the coordinates of the vertices of the preimage compare to the coordinates of the vertices of the image?
(x, y) right-arrow (y, x)
(x, y) right-arrow (negative y, negative x)
(x, y) right-arrow (negative x, negative y)
(x, y) right-arrow (x, negative y)
Answer:
(x, y) right-arrow (negative x, negative y) ⇒ (x, y) → (-x, -y)
Step-by-step explanation:
Let us revise the rotation about the origin
If point (x, y) rotated about the origin by angle 90° counterclockwise (or 270° clockwise), then its image is (-y, x) . The rule is (x, y) → (-y, x)If point (x, y) rotated about the origin by angle 180° counterclockwise ( or 180° clockwise), then its image is (-x, -y) . The rule is (x, y) → (-x, -y)If point (x, y) rotated about the origin by angle 270° counterclockwise (90° clockwise), then its image is (y, -x) . The rule is (x, y) → (y, -x)Let us solve the question
∵ The vertices of triangle FGH are (-6, -8), (-2, -3), (-4, -2)
∵ The figure is rotated 180° using the origin as the center of rotation
→ By using the 2nd rule above
∴ The vertices of its image are (6, 8), (2, 3), (4, 2)
∴ The rule is (x, y) → (-x, -y)
The coordinates of the vertices of the preimage compare to the coordinates of the vertices of the image do (x, y) right-arrow (negative x, negative y) ⇒ (x, y) → (-x, -y)
Answer:
B. they over explaining
Step-by-step explanation:
Is Mabel correct?
A. Mabel is correct.
B. No, she made a mistake in step 2
C. No, she made a mistake in step 3
D. No, she made a mistake in step 4
Answer:
D. No, she made a mistake in step 4
Step-by-step explanation:
Rearrange w = 3(2a + b) – 4 to make a the subject.
The water level dropped three feet every week for five weeks. By how much did the water level change? PLEASE HELP
Answer:
It changed by -15 FT
Explanation:
3 x 5 + 15
Jake is 4 years older than Mike.If Mike is m years older write an expression for jakes age
In the given figure, If the angles a and b are in the ratio 2:3, then angle cis:
Answer:
figure is missing mate
Express the fraction 11/30 in decmail form
Answer:
.36666667
Step-by-step explanation:
What is the measure of C?
Answer:C
Step-by-step explanation:
The angles must equal 180 degrees.
Answer:
I think the answer is b it looks like a equilateral triangle which means all sides are equal.
HELP IMMEDIATELY PLEASE, WILL GIVE BRAINLIEST!!!
Answer:
The slope is -1/3 I think.
Answer:
slope = 1/3
Step-by-step explanation:
We can look at the points where the graph exactly intersects a point. Those points are: (10, 50), (40, 60), and (70, 70). The slope is the difference of y divided by the difference of x. You can subtract any two points. Your final answer would be (70-60)/(70-40) = 10/30 = 1/3
Sonya works on a cruise ship and sleeps in a cabin that is 6 feet below sea level. The main deck is 35 feet above Sonya's cabin. How far above sea level is the main deck? add unit of measure!*
Answer: 29 ft above sea level
Step-by-step explanation:
if she is 6 feet under that could be considered -6, the main deck is above sea level so +35, so it would be 35-6=29 ft
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ﾟ Red was not An Impostor. 。 .
' 1 Impostor remains 。
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can red have brainliest?
Are tools ‘required’ to make accurate and precise measurements?
{(2,-1),(-2,4),(2,5),(3,6)}
What’s the domain and range?
Answer:
Domain(x): -2,2,3
Range(y): -1,4,5,6
(I put them in order numerically)
Step-by-step explanation:
The Domain is all the x values of the points given. It's always the first number of a point.
The range is the y values, it's always the second number given in a ordered pair!
Hope this helps! :)
solve for x. 3x+2=38
The value of x by solving for x from 3x +2 = 38 is; 12.
According to the question;
We are required to solve for x from 3x+2=383x+2 = 383x = 38 - 23x = 36x = 12The value of x from the equation is; x = 12
Read . more;
https://brainly.com/question/1640242
what is the awnser i need to know and brainleist
Answer:
The answer would be D
Step-by-step explanation:
2.10 would be a little after 2.
Hoped this helped :)
Answer:
the answer is
Step-by-step explanation:
D
6(p+6)- (p-6) I need help anyone pls
Answer:
5p + 42
Step-by-step explanation:
Step 1: Write expression
6(p + 6) - (p - 6)
Step 2: Distribute
6p + 36 - p + 6
Step 3: Combine like terms
5p + 42