Which set of numbers contains only rational numbers?

Answer: 4 (153 - 98)

formula is a^2-b^2=(a+b)(a-b)

factor out the GCF:

4(153−98)

both terms are not perfect squares so

you cant factor it further.

Answer:

C

Step-by-step explanation:

17/10 is correct

Answer:

you save labor : 3562.50

Step-by-step explanation:

You want to calculate for labor.

labor = 3/5 (parts)

labor + parts = $9500 (total costs)

3/5 parts + parts =9500

3/5 parts + 5/5 parts = 9500

8/5 parts=9500

5/8(8/5 parts) = 5/8 (9500)

‘parts = 5937.50

labor=3562.50 (3/5 x 5937.50)

total = 9500

Here is the complete question.

Members of the Alachua district choir were asked when given the choice between romanticism gothic style singing, which style they preferred to sing for state competition. The data was broken down by gender:

48 males preferred Romanticism

63 males preferred Gothic

59 females preferred Romanticism

62 females preferred Gothic

Part A: Fill in and complete the following contingency table. Circle the largest joint frequency and put a box around the smallest marginal frequency.

Romanticism Gothic Total

Males

Females

Total

Part B: Which style was preferred as the state competition piece and by what percentage?

Part C: Which subject was preferred the most by Males?

Part D: What frequency does 125/232 represent?

Answer:

The answer is below

Step-by-step explanation:

Part A:

Romanticism, Gothic, Total

Males 48, 63, 111

Females 59, 62, 121

Total 107, 125, 232

Part B: The preferred style is Gothic by a percentage of

P = 125 ÷ 232

Hence, we have P = 54%

Part C: Based on the table provided, the subject aspired the most by males was Gothic since 63 males chose it over 48 chose Romanticism.

Part D: The frequency 125/232 depicts the total of people that preferred Gothic over the total of people in both categories.

Answer: 21052

Step-by-step explanation:

Answer:

21052

Step-by-step explanation:

Answer:

4484 - 6448

Step-by-step explanation:

Given: 1 second = 1121 - 1612.

To find: How high the arrow will be after 4 seconds.

Solution:

If 1 second = 1121 - 1612, then 4 seconds = 4 × 1

4 × 1121 - 1612 = 4484 - 6448

Therefore, the arrow will be as high as 4484 - 6448 in 4 seconds.

Answer:

Each triangle weighs 3 grams.

Step-by-step explanation:

On the left side, there are 6 squares (12 grams) 3 circles (9 more grams), and 2 triangles (2x grams).

On the right side, there are 3 squares (6 grams) 2 circles (6 grams), and 5 triangles (5x grams).

This makes the equation 21 + 2x = 12 + 5x.

Let's find x.

21 + 2x = 12 + 5x

Subtract 5x from both sides.

21 - 3x = 12

subtract 21 from both sides.

-3x = -9

Divide by -3.

x = 3.

Each triangle weighs 3 grams. Let's prove this.

21 + 2x = 12 + 5x

21 + 2(3) = 12 + 5(3)

21 + 6 = 12 + 15

27 = 27

Answer:

y= -4x+4

Step-by-step explanation:

y=mx+b

where x=-1, y=8, and m=-4

8=(-4)(-1)+b

8=4+b

4=b

Thus, y= -4x+4

Answer:

hundredths

Step-by-step explanation:

the 4 is in the tenth place therfore the 6 is in the hundredth place because it is 46/100

Answer:

y=2/3

Step-by-step explanation:

Find two points on the line and find the slope.

1,-3 -1,1

y1-y2/x1-x2

-3-1/1--1

-3/2

Then find the reciprocal of this slope by flipping the numerator and the denominator, changing the sign from positive to negative and visa versa.

Answer:$18

Step-by-step explanation:4 * 4 = $16. One pair of pants = $13. 16 + 13 = $29. 47 - 29 = $18

Answer:

502.4 cubic unit

Step-by-step explanation:

Given data

The parameter for the cylinder is as follows

Height h= 10units

Radius r= 4 units

We know that the expression for the volume of a cylinder is

V= πr^2h

substitute

V= 3.14*4^2*10

V= 3.14*16*10

V= 502.4 cubic unit

Hence the volume is  502.4 cubic unit

Answer:

121

Step-by-step explanation:

If GH=11, then you multiply 11 times 11 to get 121. YUR WELCOME

Answer:

A=13*6 -5*3

A=78-15

A= 63

Step-by-step explanation:

Step 1- 4×3=12

Step 2- 4×3=12

Step 3- 13×3=39

Step 4- 12+12+39=63

Answer-63cm^2

Answer:C.  x < -16

Step-by-step explanation:

Answer:

Step-by-step explanation:

Function given:

Evaluate the function for an input value of 3

Input value is x = 3, output value is:

f(3)

Answer:

explain abit about it

please l don't understand

Answer:

3 Gallons

Step-by-step explanation:

Answer:

3 gallons

Step-by-step explanation:

Given: 1/3 gallon needed for 1/9 of the whole trip

To find: How many gallons of gasoline Josh needs for the entire trip

Solve: Firstly, we need to find out the entire trip as a fraction

1/1

If 1/9 = 1/3, then 1/1 = 1/9 ÷ 1/3 = 0.33

No, multiply that by 1/1

1/1 × 0.33 =  0.33

Then, convert 0.33 to a whole number

Hence, Josh needs 3 gallons for the entire trip

Tan(angle) = Opposite / adjacent

Tan(27) = x/15

x = 15 * tan(27)

x = 7.6

Answer:

I'll say that it is a scalene triangle because all of the sides of the triangle have different lengths.

Angle CAB is congruent to angle ACD because they are alternate interior angles (note the parallel lines AB and DE). So this makes angle CAB to be 50 degrees.

For similar reasoning, angle BCE = angle ABC = 80 degrees.

Focus on the angles that are centered at point C. Those three angles form a straight line so they add to 180 degrees.

(angle ACD) + (angle ACB) + (angle BCE) = 180

(50) + (angle ACB) + (80) = 180

(angle ACB) + 130 = 180

angle ACB = 180-130

angle ACB = 50 degrees

Ultimately, this leads to triangle ABC having the interior angles of A = 50, B = 80 and C = 50.

Because we have exactly two interior angles that are the same measure, this must mean triangle ABC is isosceles. The congruent angles are opposite the congruent sides, meaning that AB = BC.

Answer:

yes that is

Step-by-step explanation:

Answer:

9/10

Step-by-step explanation:

Answer:

3 glasses of milk will give you 9/10 of the recommended amount of calcium per day!

Step-by-step explanation:

Firstly, Let's identify the amount per day as show by the problem that is 3/10.

In simple terms, the question requires us to find the amount of calcium 3 glasses would provide.

Well, if one glass provides 3/10.

To find the value of three glasses, we need to multiply!

[tex]\frac{3}{10}*3\\\frac{3}{10}*\frac{3}{1}[/tex]

The amount of calcium three days would provide is [tex]9/10[/tex].

Hope it helps! :)

Answer:

Step-by-step explanation:

hello :

the first graph : 1  and -1 at second ; 2

Answer:

Step-by-step explanation:

From the given question,

a). m∠WAX = 60°

   If m(arc WX) = 100°

   Then by theorem,

   Angle formed between the chords in a circle, measures the half of the sum of intercepted arcs.

   m(∠WAX) = [tex]\frac{1}{2}(\text{arc WX + arcYZ})[/tex]

   60° = [tex]\frac{1}{2}(100+\text{arcYZ})[/tex]

   120 = 100 + arc YZ

   120 - 100 = arc YZ

   m(arc YZ) = 20°

b). m(arc WX + arc YZ) = 2(60°)

    m(arc WX + arc YZ) = 120°  

Answer:

this is easy. all you have to do is multiply the denominator (3) by the outside number (12) to get 36. this leaves the equation being x^2 = 36. now you just find the square route of 36 (which is 6).

Step-by-step explanation:

x^2/3 = 12

12 x 3 = 36

x^2 = 36

/36 = 6

x = 6

Step-by-step explanation:

explanation is on the picture

Answer:

Step-by-step explanation:

To find the answer, multiply the radius by 2. Then, multiply that product by 3.14 to get the answer. You can do it! Have a great day!

Answer:

( -4 , 16 )

Step-by-step explanation:

1/2x + 18 =  5/2x + 26

-8 = 4/2x

-4 = x

so the lines cross at -4 x  so, then plug that number into either equation to see what y is

y = 1/2(-4) + 18

y = 16