If X = {−1, 0, 2} and Y = {1, 2, 5}, find X ∪ Y.

Answer:

Step-by-step explanation:

w  = -3 and 21/25

The value of w in 7/60=5/24w+11/12 is 6/5.

Given,

7/60 = 5/24 w + 11/12

We need to solve for w.

It depends on the type of equation given.

We need to keep the variable that we are solving for in one side and simplify the other terms.

Find the value of w.

We have,

7/60 = 5/24 w + 11/12

Subtract 11/12 on both sides.

7/60 - 11/12 = 5/24 w + 11/12 - 11/12

7/6 - 11/12 = 5/24 w

Simplify the left-hand side into a fraction.

(14 - 11 ) / 12 = 5 / 24 w

3 / 12 = 5 / 24 w

Multiply 24 / 5 on both sides.

24/5 x 3/12 = 24/5 x 5/24 w

6 / 5 = w

w = 6 / 5

Thus the value of w in 7/60=5/24w+11/12  is 6/5.

Learn more about how to solve for a variable in a given equation here:

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Answer:

4th=8 dots

5th=10 dots

100th=200 dots

Step-by-step explanation:

Since you’re adding two dots each time, it will always bed double the figure number.

4th=8 dots

5th=10 dots

100th=200 dots

Answer:

The fourth figure is 8 Dots

The fifth figure is 10 Dots

The hundredth figure will be 200 Dots

Step-by-step explanation:

The figure dots increase by two so we multiply the dot number by the amount of increase

which means

The Fourth figure have 4 dots so 4 × 2=8

The Fifth figure have 5 dots so 5 × 2 =10

The hundredth figure have 100 dots so 100 × 2 =200

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Answer: 50 yards

Step-by-step explanation: area of a circle is πr² so 3.14 x 4² = 50.24

Answer:

13½ kilometers

Step-by-step explanation:

If Nina runs 4½ km in ⅓ of an hour, at this pace, the number of km she'd run in an hour can be calculated as follows.

Let x be the number of km to run in an hour.

4½km => ⅓ hr

x km => 1 hr

Cross multiply

[tex] 1*4\frac{1}{2} = \frac{1}{3}*x [/tex]

[tex] 4\frac{1}{2} = \frac{x}{3} [/tex]

Multiply both sides by 3

[tex] 4\frac{1}{2}*3 = \frac{x}{3}*3  [/tex]

[tex] \frac{9}{2}*3 = x  [/tex]

[tex] \frac{27}{2} = x [/tex]

[tex] 13\frac{1}{2} = x [/tex]

x = number of km Nina runs in 1 hour = 13½ kilometers

Answer:

  T = (-12, 19)

Step-by-step explanation:

We know that the definition of the midpoint is ...

  M = (S + T)/2

Solving for T gives ...

  T = 2M -S

  T = 2(-10, 14) -(-8, 9) = (-20+8, 28-9)

  T = (-12, 19)

Answer:

22

Step-by-step explanation:

Given that T is the midpoint of line PQ, segments PT = 5x + 2, and TQ = 7x - 6 that are formed would be equidistant or congruent. PT = TQ.

Therefore:

[tex] 5x + 2 = 7x - 6 [/tex]

Let's find the value of x

Rearrange the equation, so that the terms having x would be on your left, while those without x would be on your right.

[tex] 5x - 7x = - 2 - 6 [/tex]

[tex] -2x = -8 [/tex]

Divide both sides by -2

[tex] x = 4 [/tex]

Plug in the value of x into the expression, 5x + 2, to find PT.

PT = 5(4) + 2 = 22.

Answer:

y = 1/5x + 3

Step-by-step explanation:

parallel lines have the same slope

y = 1/5x + b

4 = 1/5(5) + b

4 = 1 + b

b = 3

y = 1/5x + 3

Answer:

8.99999999998

Step-by-step explanation:

45:115::_:23

The ratio between 45 and 115 is 2.55555555556 so 23 divied by that is 8.99999999998

Answer:

See below.

Step-by-step explanation:

4)

So we have the function:

[tex]g(y)=7-6y[/tex]

And we want to find:

[tex]g(s+1)[/tex]

So, substitute y for (s+1):

[tex]g(y)=7-6y\\g(s+1)=7-6(s+1)\\[/tex]

Distribute:

[tex]g(s+1)=7-6s-6[/tex]

Subtract:

[tex]g(s+1)=-6s+1[/tex]

5)

So we have the function:

[tex]h(t)=t^2-2t[/tex]

And we want to find:

[tex]h(x-3)[/tex]

So, substitute t for (x-3):

[tex]h(t)=t^2-2t\\h(x-3)=(x-3)^2-2(x-3)[/tex]

Square and distribute:

[tex]h(x-3)=(x^2-6x+9)+(-2x+6)[/tex]

Combine like terms:

[tex]h(x-3)=(x^2)+(-6x-2x)+(9+6)[/tex]

Add:

[tex]h(x-3)=x^2-8x+15[/tex]

And those are our answers :)

Answer:

275.63 pounds

Step-by-step explanation:

To convert it to pounds, multiply the weight in kg by 2.205

125(2.205)

= 275.63 pounds

Answer:

125 kg = 275.578 lbs

Step-by-step explanation:

1 Kilogram (kg) is equal to 2.2046226218 pounds (lbs). To convert kg to pounds, multiply the kg value by 2.2046226218. For example, to convert 4 kilograms to pounds, multiply 4 by 2.2046226218, that makes 4 kg is 8.81849049 lbs.

Hope this helps! :D

Answer:

49, 35 and 32 are composite and the rest are orime numbers

Answer:

[tex] \boxed{ \bold{ \huge{\boxed {\sf{49 \: ,  \: 35 \: ,  \: 32}}}}}[/tex]

Step-by-step explanation:

Composite numbers are whole numbers that can be divided by numbers other than itself and 1.

Among 49 , 35 , 32 , 41 and 47,

: 49 , 35 and 32 are composite numbers.

Hope I helped!

Best regards!!

Answer:

see explanation

Step-by-step explanation:

The sum of the first 9 consecutive odd numbers is

1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 = 81

Answer: 1+3+5+7+9+11+13+15+17=81  

Step-by-step explanation:

The sum of the first 9 consecutive odd numbers is

1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 = 81

Answer:

[tex] x = \frac{300}{b} [/tex]

Step-by-step explanation:

We are given that, "b" number of buildings has 300 windows.

Let b represent the number of buildings.

Let x represent the number of windows per building.

Thus, the following equation can be used to expressed the number of windows for b buildings:

Number of buildings*number of windows per building = 300 windows

[tex] x*b = 300 [/tex]

The number of windows each building has would be:

[tex] \frac{x*b}{b} = \frac{300}{b} [/tex]

[tex] x = \frac{300}{b} [/tex] windows per building

Answer:

1872.07

Step-by-step explanation:

2 rounds down so... 0.07

1872.07

hahaha yeah I know you me doing and that you have

Answer:

x = 12

y = 9

12 coins of dimes

9 coins of quartes

Step-by-step explanation:

x  ---> coins of dimes

y  ---> coins of quartes

   x +          y = 21

0.1x + 0.25y =   3.45              * 100

  x +      y =   21   L1

10x + 25y = 345  L2

x = 21 - y

Reemplace in L2

10(21 - y) + 25y = 345

210 - 10y + 25y = 345

15y = 345 - 210

15y = 135

y = 9

x = 21 - y

x = 21 - 9

x = 12

Answer:

Step-by-step explanation:

[tex]-16 + 9 - (-2) + (-5)\\\\\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}\\\\\mathrm{Add\:and\:subtract\:\left(left\:to\:right\right)}\:\:\\-16+9=-7\\\\=-7-\left(-2\right)+\left(-5\right)\\\\=-7+2+\left(-5\right)\\\\-7+2=-5\\\\=-5+\left(-5\right)\\\\=-10[/tex]

B. - 10

Hi there !

-16 + 9 - (-2) + (-5) =

- (-) = +

+ (-) = -

= - 16 + 9 + 2 - 5

= - 10

Good luck !

Answer:

6+ 5n

Step-by-step explanation:

Answer:

My answer to the question is 6>5n.

Answer: x = y/w+z

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

6/9 * 3

First you can either simplify this to make it easier or directly multiply. Simplify it by dividing 3 on the 9.

6/3=2

Or you can multiply and it would be 18/9, because 6*3=18.

18/9=2

Answer:

El contador que señala 840 registra de 3 en 3.

Step-by-step explanation:

Existe un truco para determinar si un número es múltiplo de 3, si la suma de sus dígitos es 3 o uno de sus múltiplos, entonces el número es un múltiplo de 3. En consecuencia, corresponde al contador eléctrico que registra de 3 en 3 y el otro contador eléctrico sería el que registra de 5 en 5.

Primer contador: 840

[tex]x = 8+4+0[/tex]

[tex]x = 12[/tex]

12 es un múltiplo de 3, por tanto, este contador es el que registra de 3 en 3.

Segundo contador: 560

[tex]x = 5+6+0[/tex]

[tex]x = 11[/tex]

11 no es un múltiplo de 3. Asimismo, todo número que sea múltiplo de 5 termina en 5 o 0, entonces este contador es el que registra de 5 en 5.

El contador que señala 840 registra de 3 en 3.

Answer: see below

Step-by-step explanation:

3x-12=7x+8 ⇔ given

   -12=4x+8 ⇔ addition property of equality

   -20=4x ⇔ subtraction property of equality

      x=-5 ⇔ division property of equality

-----------------------

5(x-1)=4x+13 ⇔ given

5x-5=4x+13 ⇔ distributive property

 x-5=13 ⇔ subtraction property of equality

    x=18 ⇔ addition property of equality

Answer: A

Step-by-step

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Answer:

Step-by-step explanation:

[tex]1+4\left(3x-10\right)-12x=39\\\\\mathrm{Subtract\:}1\mathrm{\:from\:both\:sides}\\1+4\left(3x-10\right)-12x-1=39-1\\\\Simplify\\4\left(3x-10\right)-12x=38\\\\\mathrm{Expand\:}4\left(3x-10\right)-12x:\quad -40\\-40 =38\\\\The \:sides\: are\: not\: equal \:so\\\mathrm{No\:Solution}[/tex]

Answer: 3/2

Step-by-step explanation:

Answer: I believe its 2

Step-by-step explanation:

Start on the top, 4 squared is 16, then divided by two is 8, plus 6 is 14, then on the bottom 4+3 equals 7 so then you get, 14/7 and that equals 2.

hope this helps

Answer:

9.(A) y + 7 < −7 OR y + 7 > 7

12.(C) 10A=44+300

Step-by-step explanation: