A piano teacher has 4 1/2 hours available to teach in a night. Each lesson will last 1 1/2 hours. How many lessons can the teacher schedule in a night?

Answer:

72%

Step-by-step explanation:

you have to multiply 6% by the amount of months there are in a year (12)

6×12=72.

Answer:

The ordered pair that makes an equation true is called a solution

a)solution

b) not a solution

c) solution

d) solution

e)not a solution

f) not a solution

g) solution

h) not a solution

Step-by-step explanation:

The first number in an ordered pair is x, the second one is y

Plug in the numbers to x and y respectively

I'll give two examples so you know how to solve it

a) y=3x+1

-5=3(-2)+1

make sure you use pemdas (multiply first)

-5=-6+1

add

-5=-5

this is true (meaning it is a solution)

b) 6=3(-3) +1

6=-9+1

6 = -8

this is NOT true (not a solution)

If you have any questions feel free to ask

The length of the zip wire is approximately 25.42 meters.

To calculate the length of the zip wire, we can use trigonometry and the given information about the angle and the distance between the two posts.

Given:

Distance between the two posts: 25m

Angle of the zip wire to the horizontal: 10°

We can use the trigonometric function cosine (cos) to find the length of the zip wire. Cosine relates the adjacent side to the hypotenuse of a right triangle.

In this case, the adjacent side is the distance between the two posts (25m) and the hypotenuse is the length of the zip wire that we want to calculate.

Using the cosine function:

cos(angle) = adjacent/hypotenuse

cos(10°) = 25m/hypotenuse

To find the hypotenuse (length of the zip wire), we can rearrange the equation:

hypotenuse = 25m / cos(10°)

Using a calculator or trigonometric tables, we can find the value of cos(10°) to be approximately 0.9848.

Therefore, the length of the zip wire is:

hypotenuse = 25m / 0.9848 ≈ 25.42m

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Answer:

It makes the whole process easier you just have to subtract then your done.

Step-by-step explanation:

The solution that is the closest estimate of the amount of glass Maria will need to construct her pyramid would be =5289.25 cm squared. That is option C.

To calculate the area of a square based pyramid, the formula that should be used would be given below as follows:

\(area = {a}^{2} + 2a \sqrt{ \frac{a2}{4} } + {h}^{2} \)

Where:

a= 44cm

height= 44²-22²= 38.1cm

Area= 44²+ 2(44) × √44²/4 + 38.1²

= 1936+88 × √ 484+1452

= 2024× √1936

= 5807.61 cm².

Therefore the closest estimate to the final answer would be 5289.25 cm squared

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Two triangles are congruent if they meet one of the following criteria. : All three pairs of corresponding sides are equal. : Two pairs of corresponding sides and the corresponding angles between them are equal. : Two pairs of corresponding angles and the corresponding sides between them are equal.

Answer:

a

  \(P(E \ n\  Z) =  0.0196\)

b

\(P(E \ n\  Z \ n \ Y) =  0.0027\)

Step-by-step explanation:

From the question we are told that

The probability of that a person is being called for jury duty in any given year is \(P(J) = 0.14\)

Let P(E) be the probability a person being selected in the first year, Let P(Z) be the probability a person being selected in the second year

and Let P(Y) be the probability a person being selected in the third year

Generally the probability that a particular eligible person in this city is selected in both of the next 2 years is mathematically represented as

\(P(E \ n\ Z) = P(E) * P(Z) = P(J)^2\)

=>      \(P(E \ n\  Z) =  0.14^2\)

=>      \(P(E \ n\  Z) =  0.0196\)

Generally the  probability that a particular eligible person in this city is selected in both of the next 3 years is mathematically represented as

     \(P(E \ n\  Z \ n \ Y) =  P(E) * P(Z)  * P(Y) =  P(J)^3\)

=> \(P(E \ n\  Z \ n \ Y) =  0.14^3\)

=>  \(P(E \ n\  Z \ n \ Y) =  0.0027\)

This multiplication of each probabilities is valid because each probability is independent of one another

Answer:

The answer is 160

Step-by-step explanation:

If it takes 2 hours to bake 20 cupcakes, then the rate is:

20 cupcakes in 120 minutes

Which is equal to 1 cupcake in 6 minutes

Therefore, in 16 hours, or in 16*60=960 minutes, the number of cupcakes that could be made can be found using proportion:

Let's denote the number of cupcakes that could be made in 960 minutes as 'x'

Then:

1 cupcake - 6 minutes

x cupcakes - 960 minutes

Find x: x=(960 * 1)/6=160 cupcakes

Thus, the answer is 160

Answer:

a = 48

b = 28

Step-by-step explanation:

b = 0.5 × 56

b = 28

52 = 0.5 × (56 + a)

104 = 56 + a

a = 48

Answer:

Step-by-step explanation:

10x - 15 + 4x + 4

14x - 11

Answer:
\(3x-2+\frac{5}{x}\)

Step-by-step explanation:

To divide the polynomial (9x^3 - 6x^2 + 15x) by the monomial 3x^2, we can write it as:

(9x^3 - 6x^2 + 15x) ÷ (3x^2)

To simplify the division, we divide each term of the polynomial by 3x^2:

(9x^3 ÷ 3x^2) - (6x^2 ÷ 3x^2) + (15x ÷ 3x^2)

To divide monomials with the same base, we subtract the exponents. So:

9x^3 ÷ 3x^2 = 9/3 * (x^3/x^2) = 3x^(3-2) = 3x

(-6x^2) ÷ (3x^2) = -6/3 * (x^2/x^2) = -2

15x ÷ 3x^2 = 15/3 * (x/x^2) = 5/x

Putting it all together, we have:

(9x^3 - 6x^2 + 15x) ÷ (3x^2) = 3x - 2 + 5/x

Therefore, the division of (9x^3 - 6x^2 + 15x) by 3x^2 is 3x - 2 + 5/x.

Answer:

Area of annulus is 40.85cm² to 2d.p

Step-by-step explanation:

Area of shaded part=Area of bigger circle -Area of smaler circle

Area of annulus= πR²- πr²= π(R²-r²)

A=3.142(7²-6²)

A=3.142(49-36)

A=3.142×13

A=40.846cm²

A=40.85cm² to 2d.p

Answer:

(-2,-1), (2,1), (4,2)

Step-by-step explanation:

This is how I did it: (took me like a minute)

Draw a graph or get graph paper. You could also probably find a graph online that you can write on.  (remember to label)

Now mark two points of the line. So for this question you could use (0,0) and (2,1).

Now draw a line connecting both points.

Finally you can check whether the points are on the line or are not.

Hope this helps!

Answer:

40 students in each bus.

Step-by-step explanation:

Subtract the 8 extra students from the total to get the total number of students who rode in buses. Then divide that total by 6.

248-8=240

240/6=40

40 students in each bus.

The possible price for the items if the store sells $600 is (c) $40

From the question, we have the following parameters that can be used in our computation:

The supply-demand graph

If the store sells $600, then there is a supply worth of $600

The equation of the supply line is calculated as

y = mx + c

Where

c = y = 0

i.e. c = 100

So, we have

y = mx + 100

Using another point on the graph, we have

30m + 10 = 400

So, we have

m = 13

This means that

y = 13x + 100

For a supply of 600, we have

13x + 100 = 600

So, we have

13x = 500

Divide by 13

x = 38.4

Approximate

x = 40

Hence, the possible price for the items is (c) $40

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Answer:

the answer would be 16 to 3 which can also be shown as 16:3

Step-by-step explanation:

this is because it is asking for candles first so you put 16 next they ask for books so that is why you put 3 next

Answer:

1 hour

Step-by-step explanation:

From Distance = speed × time

time = Distance/ speed

=66/66 = 1 hour

For the fractions, the calculation of 3/5 of 2/3 of 3/4 of 560 is equal to 168.

To calculate 3/5 of 2/3 of 3/4 of 560, break it down step by step:

Step 1: Calculate 3/4 of 560:

3/4 × 560 = (3 × 560) / 4 = 1680 / 4 = 420

Step 2: Calculate 2/3 of the result from Step 1:

2/3 × 420 = (2 × 420) / 3 = 840 / 3 = 280

Step 3: Calculate 3/5 of the result from Step 2:

3/5 × 280 = (3 × 280) / 5 = 840 / 5 = 168

Therefore, 3/5 of 2/3 of 3/4 of 560 is equal to 168.

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Answer:

D

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = \(\frac{1}{2}\) x + 3 ← is in slope- intercept form

with slope m = \(\frac{1}{2}\)

• Parallel lines have equal slopes , then

y = \(\frac{1}{2}\) x + c ← is the partial equation

to find c substitute (2, - 4 ) into the partial equation

- 4 = \(\frac{1}{2}\) (2) + c = 1 + c ( subtract 1 from both sides )

- 5 = c

y = \(\frac{1}{2}\) x - 5 ← equation of parallel line

Answer:16x16

Step-by-step explanation:

Hello

The answer to question A is option B.

You will have to carefully look at the scatter plot and the given table to see the correlation as well as deduce the scale used.

For the x-axis, one box represent 1 units while for the y-axis, one box represents 5 units.

Question B

Cubic model fits the data because it behaves as a polynomial function since it has more than one turn. A linear model or simple regression line works best is the line are in a straight line and are regressing.

Answer:

there's no picture

Step-by-step explanation:

...............

Answer:

x ≤ 3

Step-by-step explanation:

Answer:

The value of x is 2.

Step-by-step explanation:

The key to this solution is to combine like terms.

2x-3 > 11-5x

There are lots of ways to combine them but the way I think would be the most simple would be to avoid negative numbers (although I personally enjoy it) but anyways,

First, you can add 5x to both sides of the inequality.

This would cancel out 5x and leave you with: 7x-3 > 11

The next terms that you can combine can be the constants. You can combine -3 and 11 and to do that, you add 3 on both sides. That would cancel 3 out and leave you with: 7x > 14

Now, the last step is to get x by itself and to do that, you divide 7 on both sides to get:

x > 2

I hope my explanation wasn't too confusing for you

Answer:

4,000

Step-by-step explanation:

Answer:

1 question : 0.89 I think.

Answer:

2. 0.51

3. 1.5

4. 0.99

5. 0.66

6. 0.79

7. 5.2

8. 4.86

9. 4.3

10. 1.5

11. 5.84

Answer:

$2,500 or 25%

Step-by-step explanation:

Let's use the same example:

Cost of Equipment = $10,000

Useful Life = 4 years

Depreciation Rate = (Annual Depreciation / Cost of Equipment) * 100

Annual Depreciation = Cost of Equipment / Useful Life

Annual Depreciation = $10,000 / 4 years

Annual Depreciation = $2,500

Depreciation Rate = ($2,500 / $10,000) * 100

Depreciation Rate = 0.25 * 100

Depreciation Rate = 25%

Answer:

13 cows

Step-by-step explanation:

There are 5 cows in the barn and 8 more cows on the field than in the barn, so we can add 5 and 8.

5 + 8 = 13 cows are on the field.

Answer:

13 is the awnser

Step-by-step explanation:

5+8=13

Answer:

The other two angles are 22° , 22°

Step-by-step explanation:

To find the other angles, we can use angle sum property of triangle.

      The given angle 136° cannot be base angles. Let the base angles be x.

x + x + 136 = 180°

   2x + 136 = 180°

Subtract 136 from both sides,

            2x = 180 - 136

            2x = 44°

Divide both sides by 2,

              x = 44 ÷ 2

                \(\sf \boxed{x = 22^\circ}\)

Answer:42

Step-by-step explanation: