In a competition of 50 professional ballroom dancers, 22 competed in the fox-trot competition, 18 competed in the tango competition, and 10 competed in both the fox-trot and tango competitions. How many dancers competed in either the foxtrot or tango competitions?

Answer:

x = 54

Step-by-step explanation:

All triangle angles add up to 180 so:

x + 36 + 90 = 180

x + 126 = 180

x = 180 - 126

x = 54

Answer:

333 members

Step-by-step explanation:

10% of 370 is 37

370-37=333

Answer:

A.

B.

C.

Mean:

Median:

Mean ≠ median, not true

D.

Answer:

B

Step-by-step explanation:

Option B is correct because from the data it's visible that all the data are around 6 miles in other words clustered. In Class A half of them are on left and half are on right. Option A is wrong because there are 17 students in class A and 18 students in class B.

Option C is wrong because the mean is 8.2 and the median is 6.

To find mean add up all the miles the students chose and divide by total students (4+4+4+4+4+5+5+5+6+6+12+13+13+13+13+14+14)/17 = 8.2

To find the median line up all the numbers and find the one in middle. It's 6.

Option D is wrong because the range for class A is (14-4)=10

and class B is (9-3)=6. So the range of class A is greater than class B.

To find range maximum value-minimum value

Answer:

1) B

2) A

Hope it Helps!

:)

Answer:

Genetics and Age

Step-by-step explanation:

The disease is hereditary meaning it gets passed down from past generations.

Answer:   The correct answer is the genetics and environment

Step-by-step explanation:   According to the NHS, all of these options could contribute to Alzheimer's disease, though hereditary genetics and the environment are more significant factors. Confirmed correct.

Answer:

A - 6:24

Step-by-step explanation:

Step-by-step explanation:

1. vertical opposite angles

2. corresponding angles

3. alternate interior angles

4. alternate exterior angles

5. corresponding angles

6. vertical opposite angles

7. alternate exterior angles

8. vertical opposite angles

9. corresponding angles

10. alternate exterior angles

Answer:

∠J = 61º

Complimentary angles are angles that add up to 90º

∠J = 90º - ∠Kº

= 90º - 29º

=61º

Answer:

1/ 8 ^2

Step-by-step explanation:

When we are dividing exponents with same base all we do is subtract the denominator by the numerator (the exponent)

In this scenario we have  8^3 / 8^5

We are saying 8 * 8 * 8 / 8 * 8 * 8 * 8 * 8   When we cancel out the 8's were left with 1 / 8^2

or we could just subtract if that method is too long

Answer:

Step-by-step explanation:

Answer:

1 Week = $250

Tips= $4275*28% = $1197

Total Earnings= $250+$1197 = $1447

Answer:

She was initially at a depth of 24.7 feet before she rose

Step-by-step explanation:

Answer:

72.3%

Step-by-step explanation: multiply .723x100 to get 72.3 because your looking for the percent(multiply by 100 when your trying to find what something is as a percent)

Answer:

x=110(by vertical opposite angle)

Answer:

y=5x

Step-by-step explanation:

10=m x 2

m=5

Brainliest?

Answer: For the first one, it’s y=5x and even though you didn’t put it, for the second question, it’s 30 dollars

Step-by-step explanation:

1. 10/2=5. Y=5x

2. 5*5 = $25.00

Answer:

[tex]\frac{2*x - 2}{2*x} - \frac{3*x + 2}{4*x} = \frac{x - 6}{4*x}[/tex]

Step-by-step explanation:

We have the expression:

[tex]\frac{2*x - 2}{2*x} - \frac{3*x + 2}{4*x}[/tex]

The first thing we want to do, is to have the same denominator in both equations, then we need to multiply the first term by (2/2), so the denominator becomes 4*x

We will get:

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

Now we can directly add the terms to get:

[tex]\frac{4*x - 4}{4*x} - \frac{3*x + 2}{4*x} = \frac{4*x - 4 - 3*x - 2}{4*x} = \frac{x - 6}{4*x}[/tex]

We can't simplify this anymore

Answer:

D, A, A, 130, 10

Step-by-step explanation:

99% sure these are correct pls mark brainliest

Answer:

I think the first is B and the second would be A

Step-by-step explanation:

.......

Answer:

x = 10

Step-by-step explanation:

OA = OD ( both radii of the circle )

OD = OB + BD = x + 16

OB is at right angles to OB ( line from centre to midpoint of chord is right )

Using Pythagoras' identity in right triangle ABO

OA² = OB² + AB² , that is

(x + 16)² = x² + 24²

x² + 32x + 256 = x² + 576 ( subtract x² from both sides )

32x + 256 = 576 ( subtract 256 from both sides )

32x = 320 ( divide both sides by 32 )

x = 10

Answer:

Explanation:

15 < 16+30

16 < 15+30

30 < 16+15

Answer:

Solve the equation for  x  by finding  a ,  b , and  c  of the quadratic then applying the quadratic formula.

Exact Form:

x= -9±[tex]\sqrt{17}[/tex] / 16 (over 16)

Answer:

A [tex]\frac{1}{8}[/tex]

Step-by-step explanation:

[tex]\frac{1}{2}[/tex]÷4=[tex]\frac{1}{2}[/tex]·[tex]\frac{1}{4}[/tex]=[tex]\frac{1}{8}[/tex]

Dividing by four is also the same as multiplying by it's reciprocal which is [tex]\frac{1}{4}[/tex].

Answer:

1/8

[tex]\frac{1}{2}[/tex] ÷ 4

[tex]\frac{1}{2}[/tex]÷[tex]\frac{4}{1}[/tex]

The second fraction flips.

[tex]\frac{1}{2}[/tex]×[tex]\frac{1}{4}[/tex]

Multiply across.

[tex]\frac{1}{2}[/tex]×[tex]\frac{1}{4}[/tex] = [tex]\frac{1}{8}[/tex]

Answer:

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Step-by-step explanation:

l

Answer:

V≈57905.84

Step-by-step explanation:

Answer: I would say 68 i believe this because if i do remember correctly you have to make it equal 192 and 68 did that.

Step-by-step explanation: Sorry if im wrong.

Self-confidence is an attitude about your skills and abilities. It means you accept and trust yourself and have a sense of control in your life. You know your strengths and weakness well, and have a positive view of yourself. You set realistic expectations and goals, communicate assertive

Answer:

332

Step-by-step explanation:

To find how many seats there were, multiply the number of rows with the number of seats in each row:

15 (24) = 360

From these total seats, there are 28 empty seats, meaning:

360 - 28 = 332

There were 332 people.

Answer:

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Answer:

5

Step-by-step explanation:

Answer:

500N

Step-by-step explanation:

Given data

Mass m= 50kg

Acceleration a= 10m/s^2

We know that the expression for the force is

F=ma

Substitute

F= 50*10

F= 500N

Hence the applied force is 500N