A piano teacher has 4 1/2 hours available to teach each night. One lesson will last 3/4 of an hour. How many lessons can the teacher schedule each night?

Answers

Answer 1

Step-by-step explanation:

4 1/2 = 9/2

so, the calculation is simply how often 3/4 fits into 9/2.

and that is done by division :

9/2 / 3/4

and as we know, to divide by a fraction is the same as to multiply with the upside-down fraction.

so,

9/2 / 3/4 = 9/2 × 4/3 = (9×4)/(2×3) = 3×2/1 = 6

so, without any breaks the teacher can schedule 6 lessons each night.


Related Questions

A bag of grass seed weighs 5.8 pounds. How many pounds would 2.5 bags weigh

Answers

Answer:

Answer: 14.5 pounds

Step-by-step explanation:

Step-by-step explanation: Do 5.8 times 2.5

Answer:

14.5 lb

Step-by-step explanation:

1 bag weighs 5.8 lb.

2.5 bags weight 2.5 × 5.8 lb

2.5 × 5.8 lb = 14.5 lb

Johnny ate seven apples, his bus comes around 3 in the morning, the neighbors dog took a dump on the ground weighing 2.67 kilograms. Whats the mass of the sun??​

Answers

Answer:

mass if the sun is 123

Step-by-step explanation:

I saw the dog take a dump

What is a simple way to find 12 mod 7 + 12 mod 7 + 12 mod 7 + 12 mod 7?

Answers

12 ≡ 7 + 5 ≡ 5 (mod 7)

so

12 + 12 + 12 + 12 ≡ 4•12 ≡ 4•5 ≡ 20 ≡ 14 + 6 ≡ 6 (mod 7)

HELP PLEASE 100 POINTS

Answers

Answer:

118 is the answer.

Step-by-step explanation:

All pentagons angles = 540

540 - 107 - 100 - 96 - 119 = 118

118 is the answer.

Hope it helped!

Kavitha

Answer:

The answer above is in fact correct

Step-by-step explanation:

107+100+96+119+118=540

How do i find the measure of <2 in this equation?

Answers

Answer:

142

Step-by-step explanation:

It is equal to the one above it.

I hope this helps!!

After solving a series of mathematical problems using a complicated formula, Mark uses the same formula to solve another problem he could have solved using a much simpler formula. Mark's continued reliance on the complicated formula BEST illustrates:

Answers

Answer:

C. mental set

Step-by-step explanation:

A mental set generally refers to the brain's tendency to stick with the most familiar solution to a problem and stubbornly ignore alternatives. This tendency is likely driven by previous knowledge (the long-term mental set) or is a temporary by-product of procedural learning (the short-term mental set).

Richard sold cupcakes and cookies yesterday. Each cupcake sold for $1.75 and each cookie sold for $0.75. At the end of the day, Richard had sold $49.25 worth of cookies and cupcakes. If he sold 35 cupcakes and cookies combined, how many cupcakes were sold and how many cookies were sold?

Answers

Answer:

20 cupcakes

15 cookies

Step-by-step explanation:

20*$1.75=$35

15*$0.75=$14.25

$35+$14.25=$49.25

Answer:

23 cupcakes and 12 cookies

Step-by-step explanation:

(23+7)×4
=
+7×4
=
×4
=

Answers

Answer:

Step-by-step explanation:

i showspeed

PEMDAS
Do the parentheses first (23+7) is 30
after that do 30 x 4 which gives you 120

Hal has just graduated from four years of college. For the last two years, he took out a Stafford loan to pay for his tuition. Each loan had a duration of ten years and interest compounded monthly, and Hal will pay each of them back by making monthly payments, starting as he graduates. Hal’s loans are detailed in the table below. Year Loan Amount ($) Interest Rate (%) Subsidized? Junior 4,048 5. 9 N Senior 5,295 7. 6 Y Once all of his loans are paid off, what will Hal’s total lifetime cost be? Round all dollar values to the nearest cent. A. $9,023. 28 b. $8,467. 20 c. $11,498. 40 d. $13,615. 20 Please select the best answer from the choices provided A B C D.

Answers

Answer:

d

Step-by-step explanation: i chose d

Tim's phone service charges $24.25 plus an additional $0.18 for each text message sent per month. If Tim's phone bill was $28.75, which equation could be used to find how many text messages, x, Tim sent last month?

Answers

24.25+ .18 = 28.78
hope this helps

How do i find the value of x in this equation?

Answers

Answer:

5x-10=60

5x=70

x=14

Hope This Helps!!!

Answer: 14

Step-by-step explanation:

Thr two angles are equal, so we can write:

5x-10 = 60

5x = 70

x = 14

I need help asap please!

Answers

It’s asking if AED is congruent to ABC. The answer would be Yes. Triangle AED is congruent to triangle ABC.

what is the output when in the input is 7

Answers

Answer:

If the input is 7 then output is:-Tiny Small. Explaination: - 7 is smaller than 10 so output is tiny.

A line includes the points (7, –7) and (11, –3). What is its equation in slope-intercept form?

Answers

The slope intercept form is y = mx + b so the slope is m and the slope in this case is -2.5. Now we substitute that in the equation. Well use the first set of ordered pairs for x and y. So now we have: -7 = -2.5(7) + b. When you solve for this you should get: -7 = -17.5 + b. Now you solve for the last part and you get: -7 = -17.5 + 10.5. So the Answer is: y = -2.5x + 10.5

The lines represented by the equations y + 3/2x = -6 and 3y – 2x = -24 are
parallel
neither parallel nor perpendicular
perpendicular
the same line

Answers

Answer:

Neither Parallel nor Perpendicular

Step-by-step explanation:

Convert 3y - 2x = -24 to slope - intercept form

3y - 2x = -24

3y = -24 + 2x

3y = 2x - 24

y = 2/3x - 8

They are neither parallel or perpendicular

Parallel lines have the same slope, but these are different

Perpendicular lines have the opposite inverse (negative reciprocal) slope, but these are just reciprocals

-Chetan K

F = 1/5 gh^2
solve for h

Answers

Answer:

First of all, let's multiply both sides by 5, clearing the denominators:

Then, as long as g is not zero, we can divide by g, and let's read right to left:

At this point, assuming F and g are either both positive or both negative, we can take the square root of both sides:

If h represent a quantity that is positive by it's nature (ie, the length of a segment) you can consider only the positive root, ie ignoring the plus or minus sign.

The line given by y=2x+1,and the circle given by (x+1)^2+y^2=1 are graphed.

Answers

Answer:hhfff

Step-by-step explanation:

The required solutions to the line intersecting the circle at the points are x = -1, y = -1, and x = -0.2; y =0.6.

What is the equation of a circle?

The equation of a circle with center (h,k) and radius r is :

r² = (x−h)² + (y−k)²

The graph correctly defines one solution.

The straight line intersects the circle at point A in the third quadrant.

The coordinates of point A are (-1,-1).

Hence, the solution is: x = -1,and  y = -1

(x+1)² + y² = 1 and y=2x+1

Solving for 'x'

(x+1)² + (2x+1)= 1

x²+1+2x + 4x² + 1 + 4x =1

5x² + 6x + 1 = 0

(x+1/5)(x+1) = 0

(x+1/5) = 0 and (x+1) = 0

x = -1/5 and x = -1

For x = -1

y = 2(-1) +1 = -2+1 = -1

For x = -1/5

y = 2(-1/5) +1 = -2/5 + 1 = 3/5

Hence, the solution is : x = -0.2 and y =0.6

Learn more about the equation of a circle here:

brainly.com/question/1554214

#SPJ2

The question seems to be incomplete the missing part has been attached below

if (x-10) is a factor of f(x), which of the following must be true? (50 points)

A. Neither x= -10 or x=10 are roots of f(x)
B. f(-10)=0
C.f(10)=0
D. Both x=10 and x=-10 are roots of f(x)

Answers

Answer:

C, f(10)=0

Step-by-step explanation:

Just replace x-10 into f

i need answers thank you

Answers

The correct answer is A) y=-2x

If a+ b = 6 and ab = 2 find a^3 + b^3

Answers

Answer: 180

Step-by-step explanation:

This is just testing if you know the sum of cubes formula:

[tex]a^3 + b^3 = (a+b)(a^2 - ab + b^2) = (a+b)((a+b)^2 - 3ab)[/tex]

Plugging in the respective values, you get

[tex]a^3 + b^3 = (6)(6^2 - 3(2)) = \boxed{180}[/tex]

help help help help pls

Answers

Answer:

hope this helps

Step-by-step explanation:

a. 1/4 as a power of 2 = root 4 v/2

b.

Radium-226 mass decays to 1/4 of it mass every 6400 years

64gr ( 1/4) = 16gr ----→after 6400 years its mass is 16gr

now its current mass is 16gr

16gr (1/4) = 4gr -----> after another 6400 years its mass is 4gr

again, its current mass after 12800 years is 4gr

4gr (1/4) = 1gr ------> after another 6400 years its mass is 1gr

why 4600 3 times? = 4600+4600+4600 = 19200 years

the remaining mass after 19200 years is 1gr

is 6,8,9 a pythagorem theorem? pls help me due rn

Answers

Answer:

No, it isn't.

Step-by-step explanation:

Pythagorean theorem is x^2 + y^2 = z^2.

6^2 + 8^2 = 9^2

36 + 64 = 81

100 = 81

So, it isn't.

Answer:

No.

Step-by-step explanation:

36+64 does not equal 9² (81)

can someone help mee pleaseee

Answers

f(x) = x^2 - 13x + 30

Step-by-step explanation:

A quadratic equation may be expressed as a product of the two binomials. The roots of the equations are 3 and 10, so the factors are (x-3) and (x-10).

f(x) = (x-3)(x-10)  

f(x) = x^2 - 13x + 30

Examine the solution to the equation
-6(x + 5) + 3 = -2(x + 4) - 4x
-6x - 30 + 3 = -2x - 8 - 4x
-6x-27 = -6x - 8
Which statements accurately describe this equation?
Check all that apply.
This equation has one solution.
This equation has no solution.
This equation has infinitely many solutions.
Any input value for the variable will generate a true
equation
O Any input value for the variable will generate a false
equation.
-27 = -8

Answers

Answer:

option (2) and (5) is correct.

2) This equation has no solution.

5) Any input value for the variable will generate a false equation.

Step-by-step explanation:

Given a solution to the equation,

-6( x + 5) + 3 = -2( x + 4) - 4x

⇒  –6x – 30 + 3 = –2x – 8 – 4x

⇒ –6x – 27 = –6x – 8

⇒  –27 = – 8

Which is false statement as -27 is never equal to -8.

Thus, This equation has no solution.

Also, if we substitute any value of x , then also the equality never hold.

For example lets put x = 1 in  -6( x + 5) + 3 = -2( x + 4) - 4x , we get,

⇒ -6( 1 + 5) + 3 = -2( 1 + 4) - 4(1)

⇒ -6( 6) + 3 = -2(5) - 4

⇒ -36 + 3 = -10 - 4

⇒ -33 = -14

Still the value is false as -33 is never equal to -14.

Any input value for the variable will generate a false equation.

Thus, option (2) and (5) is correct.

(I’m having trouble with this question, it would be greatly appreciated if I could have some help, thank you)

What is the equation of a line that is parallel to – 2x + 3y = -6 and passes through the point (-2, 0)?

Answers

Answer:

y = 2/3x + 4/3

Step-by-step explanation:

you need to know the slope of the line -2x + 3y = -6 because parallel lines have the same slopes

let's put the equation in y=mx+b format (slope-intercept format)

-2x + 3y = -6

add 2x to each side to get:

3y = 2x - 6

divide each side by 3 to get:

y = 2/3x - 2

the equation now shows us the slope is 2/3 and the y-intercept is (0,-2)

now we use y=mx+b again and use the point (-2,0) and the m=2/3 to get the y-intercept ('b' value) of the equation that is parallel:

0 = 2/3(-2) + b

0 = -4/3 + b

b = 4/3

equation would be:

y = 2/3x + 4/3

What is the distance between (-4,-8) and (2,3)?​

Answers

Answer:

Always computable as rightmost x value minus leftmost value: 4 - (-8) = 12

(Hurry) guys pls help me, i don’t understand what my teacher taught me

Answers

Answer:

Step-by-step explanation:

me too i dont know

Answer:

8 cm≈ 117.6 cm³

Step-by-step explanation:

Total surface area:

A = 4(1/2*7*l) + 7² = 14l + 49, where l is a slant height

We are given:

A = 161 cm²

Find the value of l:

14l + 49 = 16114l = 112l = 112/14l = 8 cm

Use Pythagorean to find the height h of the pyramid:

l² = h² + (7/2)²8² = h² + 3.5²h² = 8² - 3.5²h² = 51.75h = √51.75h ≈ 7.2 cm

Find the volume:

V = 1/3BhV = 1/3*7²*7.2V = 117.6 cm³

Using the slope and the y-intercept, graph the line represented by the following equation. Then identify the figure
showing that graph.
2x-y+4=0

Answers

the answer is 2x-y=-4

(X-3)(X-12)

Expand and simplify

Answers

Answer:

x^2-15x+36

Step-by-step explanation:

x(x-12)-3(x-12)

x^2-12x-3x+36

x^2-15x+36

Answer: X^2 -15x + 36

Step-by-step explanation:

(X-3) (x-12)

Multiply each term in the first bracket by each term in the second bracket

X^2 -12x -3x + 36

Collect like terms

X^2 -15x + 36

Josh purchased a DVD for $10.80, before taxes. The price was after a 25% discount. What was the original price of the DVD?

Answers

Answer:

$

2.70

Step-by-step explanation:

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