What is 75% of 30 menutes

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.

Answer:

Every time you top off your vehicle at the pump, you're paying federal and state gas taxes that are included in the price of every gallon of gasoline. The federal tax, at 18.4 cents per gallon, is meant to help the federal government pay to build and fix things like highways and bridges.

Step-by-step explanation:

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Answer: These taxes are meant to do two things — raise money to pay for infrastructure and reflect some of the environmental costs of driving. Unlike most taxes, gas taxes are charged as a flat charge per liter, rather than as a percentage of the pump price.

Given:

The railing will begin at a height of 36 inches.

Height decreases 9 inches for every 12 horizontal inches.

To find:

The function for this situation.

Solution:

Let y be the height of the railing in inches according to the horizontal distance in inches, x, from the top of the stairs.

Initial height = 36

So, y-intercept is 36.

Height decreases 9 inches for every 12 horizontal inches.  So,

[tex]\text{Slope}=\dfrac{\text{Vertical change}}{\text{Horizontal change}}[/tex]

[tex]m=\dfrac{-9}{12}[/tex]

[tex]m=-\dfrac{3}{4}[/tex]

Slope intercept form of a line is

[tex]y=mx+b[/tex]

Substitute [tex]m=-\dfrac{3}{4}[/tex] and b=36.

[tex]y=-\dfrac{3}{4}x+36[/tex]

The required function is [tex]y=-\dfrac{3}{4}x+36[/tex].

Therefore, the correct option is A.

Answer:

A

Step-by-step explanation:

Caitlin is designing a railing for a set of stairs. The railing will begin at a height of 36 inches and follow the slant of the stairs, which decreases 9 inches for every 12 horizontal inches.

A drawing of the side view of a set of 4 stairs. There are lines drawn to show a railing that is at the highest point of the stairs and labeled 36 inches.

Which function can represent the height, y, of the railing in inches according to the horizontal distance in inches, x, from the top of the stairs?

y = –StartFraction 3 Over 4 EndFractionx + 36

y = –3x + 36

y = StartFraction 3 Over 4 EndFractionx + 36

y = 3x + 36

Answer:

5/6

Step-by-step explanation:

7/9 and 5/6 can have the same denominator of 54. Now, you can look only at the numerators, 42 and 45. 45 is greater, so 5/6 is greater than 7/9

5/6 is greater than 7/9

A common fraction is a numeral which represents a rational number. For example 2/3

Given here, 7/9 and  5/6 now 7/9 = 0.777 and 5/6= 0.833

Thus clearly 5/6 >7/9

Hence, 5/6 is greater than 7/9

Learn more about fractions here:

https://brainly.com/question/29264210

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Answer:

Step-by-step explanation:

Given:

∠1 and ∠2 are supplementary.

To prove:

l║m

Proof:

∠2 is a supplement of a. ∠1 (Given)

∠3 is a supplement of b. ∠1 [Linear pair of angles are supplementary]

Since supplements of the same angle are congruent,

c. ∠1 ≅ d. ∠2

Since ∠2 and ∠3 are also corresponding angles, l║m by the converse of same side interior angles postulate.

Answer:

it is helpful to constuct d because it makes the graph easier to understand

Step-by-step explanation:

Answer:

Positive: As you move from left to right the line was increasing    /

- Negative: As you move from left to right the line was decreasing    \

- Undefined: A Vertical line    |

- Zero: A Horizontal line    -

Step-by-step explanation:

:)

Answer:

:)

Step-by-step explanation:

Answer:

nobody uses twitter anymore

Step-by-step explanation:

Answer:

-96

Step-by-step explanation:

-384 divided by 4 = -96

hope this helped!!

Answer:

-96

Step-by-step explanation:

If we use the "classic math" and do this like -394/4

we would get -96.

Or we can use a calculator and type -384 / 4 and get the same answer -96 (or unless you did your math incorrect)

High Hopes^^

Barry-

Answer:

2800, 320

350, 40

2800+320+350+40=3510

Step-by-step explanation:

(40*70)+(40*8)+(5*70)+(5*8)

Answer:

19

Step-by-step explanation:

Answer:19

Step-by-step explanation:

Answer:

The answer is 8.

Step-by-step explanation:

Answer:

y = − 6 x + 7

Step-by-step explanation:

Find the slope of the original line and use the point-slope formula

Answer:

idk

Step-by-step explanation:

Answer:

x=5

Step-by-step explanation:

a and c are the same angles so 73+73=146

then you subtract 180-146=34 and 5 times 6 is 30 then plus 4 and get 34

therefore x=34 degrese

Answer:

I'm not quite sure if this is correct, but If the given values are our X's or the inputs, then yes it would be a function as they're all different numbers.

Answer:

170 Tickets were sold and 490$ was made

Step-by-step explanation:

to find how many tickets were sold add 120 + 50 to get 170

For how much they made Multiply 120 X 2 to get 240

Then, Multiply 5 x 50 to get 250

Add 240 + 250 and your answer will be 490$

Answer:

18/sqrt(2)

Step-by-step explanation:

Divide the square into two congruent right triangles:

a and b are the sides of the triangle

since we know that a=b

then the right triangle is isosceles

meaning that the theorem of the 45-45-90 triangle is applicable

so then we can say that 18/sqrt(2) = a = b

Answer:

a=-1.5 (lmk if im incorrect)

Step-by-step explanation:

-16 - 7(2a + 3) = 23 - 2a

-16-(14a+21)=23-2a

5-14a=23-2a

5=23+12a

-18=12a

-18/12 is -1.5

a=-1.5

Answer:

9

Step-by-step explanation:

-3*-2 is 6+3 is 9

2 negatives equal a positive when multiplying or dividing

The answer fam is.....9

Answer:

1/3

Step-by-step explanation:

Hope This Helps!

Answer:

[tex]\angle A=17\textdegree[/tex]

Step-by-step explanation:

We know that A and B are complementary angles. So, they must add up to 90°. As an equation:

[tex]\angle A+\angle B=90[/tex]

Since we know their equations, substitute:

[tex](x+8)+(8x+1)=90[/tex]

Solve for x. Combine like terms on the left:

[tex]9x+9=90[/tex]

Subtract 9 from both sides:

[tex]9x=81[/tex]

Divide both sides by 9:

[tex]x=9[/tex]

So, the value of x is 9.

We want to find A. So, let's use the equation for A:

[tex]\angle A=x+8[/tex]

Substitute 9 for x:

[tex]\angle A=9+8[/tex]

Add:

[tex]\angle A=17\textdegree[/tex]

So, the measure of A is 17°.

Answer:

B. [tex]\frac{-3}{4}[/tex]±[tex]\frac{\sqrt{41} }{4}[/tex]

Step-by-step explanation:

First, substitute the equation into the quadratic formula.

[tex]x=\frac{b+-\sqrt{(b^{2} )-4(a)(c)} }{2a}[/tex]

x=[tex]\frac{-3+-\sqrt{(3)^2-4(-2)(4)} }{4}[/tex]

Solve for x.

x= [tex]\frac{-3+-\sqrt{9+32} }{4}[/tex]

x=[tex]\frac{-3+-\sqrt{41} }{4}[/tex]

The answer is x= [tex]-\frac{3}{4}[/tex]±[tex]\frac{\sqrt{41} }{4}[/tex]

Answer:

1/4 = 1/2² = 2^-2

Step-by-step explanation:

1/4 can be expressed as a negative exponent is 4⁻¹

A negative exponent helps to show that a base is on the denominator side of the fraction line. In other words, the negative exponent rule tells us that a number with a negative exponent should be put to the denominator, and vice versa. For example, when you see x⁻³, it actually stands for 1/x³

Given here, 1/4 thus it can be expressed as 4⁻¹

Hence, 1/4 can be expressed as a negative exponent is 4⁻¹

Learn more about exponents here:

https://brainly.com/question/5497425

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-0.5

Step-by-step explanation:

Negative , has low correlation

Answer:

11/12

Step-by-step explanation:

Answer:

x = -4 / 3

Step-by-step explanation:

step 1. simplify 4x2 to 8

8+6x=0

step 2. subtract 8 from both sides.

6x = -8

step 3. divide in both sides by 6.

x = - 8 / 6

step 4. simplify 8/6 to 4/3.

x = -4 / 3

Answer:

D. Square root of 18

Step-by-step explanation:

The square root of 10 is 3.16.

The square root of 12 is 3.46.

The square root of 24 is 4.90.

The square root of 18 is 4.24.

The red dot is on 4.25 so your answer is the square root of 18.

Will you please mark me brainliest?

Answer:

-69

Step-by-step explanation:

16-(5)(16)-(5)

16x5=80

16-80-5

16-80=-64

-64-5=-69