The table below shows the number of classes offered at a fine arts school in New York.
Art: 45
Dance: 30
Music: 40
Theater: 35
What part-to-whole ratio represents the number of music classes offered at the school? ​

[tex]\sf \longmapsto \frac{5}{8} \div6[/tex]

[tex]\sf \longmapsto \frac{5}{8} \times \frac{1}{6} [/tex]

[tex]\sf \longmapsto \frac{5 \times 1}{8 \times 6} [/tex]

[tex]\sf \longmapsto \frac{5}{48} [/tex]

Answer In DECIMAL:

[tex]\sf \longmapsto0.1041[/tex]

Answer:

Step-by-step explanation: 3-4-5 triangle

If sinx = 4/5, then cosx = -3/5 and tanx = 4/-3   x is approximately 126.87°

cos2x = cos²x - sin²x = (-3/5)² - (4/5)² = 9/25 - 16/25 = - 7/25

tan2x = 2tanx / (1 - tan²x) = 2(4/-3) / (1 - (4/-3)²) = (8/-3) / (1 - 16/9) = (-8/3) / (-7/9)

tan2x =  (-8/3) • (-9/7) = 72/21 = 24/7

Answer:

It took eight hours to travel 520km

Step-by-step explanation:

Answer:

expression.

2(4x+3y)

2(4(4)+3(7))

2(16+21)

2( 37)

74

Check the picture below.

Step-by-step explanation:

earbuds

we have a 1in : 0.2in scale of drawing to reality.

0.2 = 2/10 = 1/5

so, 1in in the drawing is actually 1/5in in reality.

how long are the 4in in the drawing ?

well, 4 times the 1in thing.

4×1/5 = 4/5 = 0.8in long

again the similar triangles

similar triangles means that each pair of corresponding lines (sides, heights, ...) in the triangles follows the same scaling factor for the length.

so, what do I need to multiply the side of the large triangle with to get the corresponding side length of the small triangle ?

27 × x = 9

x = 9/27 = 1/3

and that is the scale factor.

Answer:

Step-by-step explanation:

If 2% × 410 = 8.2 => Divide 8.2 by 410And see if we get as a result: 2% Note: Multiply a number by the fraction 100/100, and its value doesn't change.

Answer:

m = 410

Step-by-step explanation:

Let the number be n.  Then:

 8.2

--------- = 0.02

    n

Cross-multiplying yields 0.02n = 8.2, from which we find n = 410

Recall that a percentage, such as 2%, is equivalent to a decimal fraction, such as

2%

-------- = 0.02

100%

Answer:

AC=14

X=10

Y=1

Hoped this helped!

Step-by-step explanation:

DE is half of BC, therefore x=10. AE and EC have to be the same length, which is 7. SO, y=1 and x is 10.

Answer:B

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

               3x = -6 --->  x = -2

Answer:

400/π

Step-by-step explanation:

Well, we know that the formula for circumference is πd. (d is the diameter) Then, we set up the equation 'πd = 400'. Now, simplifying for d, we get d = 200/π.

Answer:

400/π

Step-by-step explanation:

Answer:

4n - 3

Step-by-step explanation:

[tex]n+3(n-1)\\n+3n-3\\4n-3[/tex]

Answer:

Richard is twenty-six and Teo is ten.

Step-by-step explanation:

Let x = Richard's age and y = Teo's age

x = 2y + 6

(2y + 6) + y = 36

3y + 6 = 36

-6            -6

3y = 30

y = 10

x = 2(10) + 6

x = 20 + 6

x = 26

Richard is 26

Teo is 10

Answer:

Correct choice: B

Step-by-step explanation:

Equation Solving

The area of a trapezoid with height h and bases b1 and b2 is given by:

We must solve this formula for h.

First, multiply by 2 to eliminate denominators:

Now, divide by b1+b2:

Swapping sides:

Correct choice: B

Answer:

B. 0.36

Step-by-step explanation:

9/25 = x/100

9x100= 900

900 divided by 25 will be 36/100, so 0.36

Answer:

bt.ly/d97sjdu8 there is your answer!

Step-by-step explanation:

Answer:

x-intercept is 0

Step-by-step explanation:

(0, 24) (4,0)

(x, y)

0/4=0

Answer:

The answer is 7.48 or 7.5

Step-by-step explanation:

If the circumference is C which is equal to 47 feet, what you have to do is divide it by pi, or 3.14 for an estimate. After that, you'll get the diameter and then divide it by 2. Now you have your radius.

Answer:

The answer would be 2.9 million is the population of the city in 1990 and 0.08 million is the increase per year in the population.

Hope it help and if it its correct please give brainliest  

Stay Safe And Healthy

Thank You

Answer:

[tex]5^{\frac{5}{3} }[/tex]

Step-by-step explanation:

Using the rules of exponent

[tex]\sqrt[3]{a}[/tex] = [tex]a^{\frac{1}{3} }[/tex]

[tex]\frac{a^{m} }{a^{n} }[/tex] = [tex]a^{(m-n)}[/tex]

[tex]\frac{25}{\sqrt[3]{5} }[/tex]

= [tex]\frac{5^2}{5^{\frac{1}{3} } }[/tex]

= [tex]5^{\frac{6}{3}-\frac{1}{3} }[/tex]

= [tex]5^{\frac{5}{3} }[/tex]

9514 1404 393

Answer:

  B = 5

Step-by-step explanation:

The given equation has mismatched parentheses. We assume the intent is ...

  2(b +3.5) -b = -3(6 -2b)

Eliminating parentheses, we have ...

  2b +7 -b = -18 +6b

  25 = 5b . . . . . . . . . . . add 18-b to both sides and collect terms

  b = 5 . . . . . . . . . . . . divide both sides by 5

Answer:

Step-by-step explanation:

2(144) = 288 cm²

Answer:

fuctions and constants

Step-by-step explanation:

please mark as brainliest if it helped :D

Answer:

The quotient is 10x+16

The remainder is 28x^2+10x+22

Answer:  [tex]\boldsymbol{37.5} < \mu < \boldsymbol{44.5}[/tex]

===========================================================

Explanation:

At a 90% confidence level, the z critical value is roughly z = 1.645. Use a reference table or a calculator to determine this. Despite not knowing what sigma is, we can use a z interval here because n > 30. If the sample size n was smaller than 30, then we'd have to use a T distribution instead.

We'll plug that z value, along with the other given values, into the formula for the lower boundary L of the confidence interval.

[tex]L = \text{lower boundary}\\\\L = \overline{x} - z*\frac{s}{\sqrt{n}}\\\\L = 41 - 1.645*\frac{12}{\sqrt{31}}\\\\L = 41 - 3.545\\\\L = 37.455\\\\L = 37.5\\\\[/tex]

This value is approximate.

Do the same for the upper boundary as well

[tex]U = \text{upper boundary}\\\\U = \overline{x} + z*\frac{s}{\sqrt{n}}\\\\U = 41 + 1.645*\frac{12}{\sqrt{31}}\\\\U = 41 + 3.545\\\\U = 44.545\\\\U = 44.5\\\\[/tex]

This value is also approximate.

We have 90% confidence that the population mean [tex]\mu[/tex] (greek letter mu) is somewhere between L = 37.5 and U = 44.5

Therefore, we would write the 90% confidence interval as [tex]\boldsymbol{37.5} < \mu < \boldsymbol{44.5}[/tex]

This is the same as writing the confidence interval in the form [tex](\boldsymbol{37.5} , \boldsymbol{44.5})[/tex]. Both forms are two different ways to say the same thing. The first form being [tex]L < \mu < U[/tex] while the second form is [tex](L,U)[/tex].

Side note: The value 3.545 calculated earlier is the approximate margin of error.

Answer:

Step-by-step explanation:

1 3/10 x 18

(1 x 10 +3)/10 = 13/10

13/10 x 18 = (13 x 18) / 10 = 234/10 = (234/2) / (10/2) = 117/5 = 23 2/5 (a fraction is a division)

The answer to the expression showing the product of 1 3/10 x 18 is 23 2/5.

Given is an expression showing the product of 1 3/10 x 18, we need to solve it,

To multiply a mixed number by a whole number, you can convert the mixed number to an improper fraction and then multiply the fractions.

Here's how you can solve the problem:

Step 1: Convert the mixed number to an improper fraction:

1 3/10 = (1 × 10 + 3) / 10 = 13/10

Step 2: Multiply the fractions:

13/10 x 18/1 = (13 x 18) / (10 x 1) = 234 / 10

Step 3: Simplify the fraction, if possible:

234/10 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 2:

234/10 = (234 ÷ 2) / (10 ÷ 2) = 117/5

Therefore, 1 3/10 x 18 = 117/5.

Alternatively, you can express the answer as a mixed number by dividing the numerator by the denominator:

117 ÷ 5 = 23 with a remainder of 2

So, the final answer is 23 2/5.

Learn more about mixed numbers click;

https://brainly.com/question/24137171

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Answer:

1.32

Step-by-step explanation:

1.32

Answer:

the info they gave us is to suppose that angle 6 is = 126°

step 1:

We know that angle 8 = angle 6 = 126°

Why? — when a circle (360°) is split by 2 lines that intersect, there will be 2 equal pairs of angles formed

step 2:

angle 2 = angle 8 = 126°

Why? — they’re alternate angles

step 3:

angle 4 = angle 2

Why? — when a circle (360°) is split by 2 lines that intersect, there will be 2 equal pairs of angles formed

step 4:

angle 1 = 180-126 (angle 4) = 54°

Why? — total angles in a straight line = 180°

Key Term:

Alternate angles:

Alternate angles are angles that occur on opposite sides of the transversal line and have the same size. Alternate angles are equal: We can often spot interior alternate angles by drawing a Z shape: There are two different types of alternate angles, alternate interior angles and alternate exterior angles.

Step-by-step explanation:

(18+12+15+19)÷5

64÷5

15

Answer:

Step-by-step explanation:

2 : (-2.5) + 4.1 + 1.2 * (3+6) : (-0.1 ) =

-0.8 + 4.1 + 10.8 : (-0.1) =

-0.8 + 4.1 + (-108) =

3.3 - 108 =

-104.7