Which of the following shows the union of the sets? {4, 8, 12, 16, 20, 24, 28} {2, 4, 6, 8, 10, 12} A. {4, 8, 12} B. {4, 8, 12, 16} C. {6, 8, 10, 12} D. {2, 4, 6, 8, 10, 12, 16, 20, 24, 28}

Answer:

It takes takes them 31.67 secs to meet after Person A starts walking

OR

34.67 secs after Person B starts walking

Step-by-step explanation:

First, we will find the perimeter of the rectangle

From,

Perimeter of rectangle = 2 ([tex]l[/tex] + [tex]b[/tex])

Where [tex]l[/tex] is the length

and [tex]b[/tex] is the breadth

From the question, [tex]l[/tex] = 100m

and [tex]b[/tex] = 50m

Hence,

Perimeter of the rectangle = 2 (100+50)

= 2(150) = 300m

Hence, the perimeter of the rectangle is 300m

This is the total distance that will be covered by both persons by the time they meet.

Let the distance covered by person A be [tex]S_{1}[/tex]

and the distance covered by person B be [tex]S_{2}[/tex]

We can write that

[tex]S_{1}[/tex] + [tex]S_{2}[/tex] = 300m

Velocity of person A, [tex]V_{A}[/tex] = 4 m/s

and velocity of person B, [tex]V_{B}[/tex] = 5 m/s

From the question, Person A starts walking 3 seconds after person B,

This means, if person A spends [tex]t[/tex] secs before they meet, then person B would spend (3 + [tex]t[/tex]) secs.

For Person A,

Velocity = 4 m/s

Time = [tex]t[/tex] secs

Distance = [tex]S_{1}[/tex]

From,

[tex]Velocity = \frac{Distance}{Time}[/tex]

Then,

[tex]Distance = Velocity \times time[/tex]

[tex]S_{1} = 4 \times t[/tex]

[tex]S_{1} = 4t[/tex] ...... (1)

For Person B

Velocity = 5 m/s

Time = (t + 3) secs

Distance = [tex]S_{2}[/tex]

Also, from

[tex]Distance = Velocity \times time[/tex]

[tex]S_{2} = 5 \times (3+t)[/tex]

[tex]S_{2} = 5(3+t)[/tex] ...... (2)

Recall that, [tex]S_{1}[/tex] + [tex]S_{2}[/tex] = 300m

Then, [tex]S_{2}[/tex] = 300m - [tex]S_{1}[/tex]

We can then write that,

300m - [tex]S_{1}[/tex] [tex]= 5(3+t)[/tex]

Then,

[tex]S_{1} = 300 - 5(3+t)[/tex] ..... (3)

Equating equations (1) and (3), we get

[tex]300 - 5(3+t) = 4t[/tex]

[tex]300 - 15 -5t = 4t\\9t = 285\\t = \frac{285}{9}\\[/tex]

[tex]t = 31.67 secs[/tex]

This is the time spent by Person A

Hence, it takes takes them 31.67 secs to meet after Person A starts walking OR

34.67 secs after Person B starts walking

Answer:

I mistakenly rated Abdulazeez10's answer 2 stars because I thought he mixed up his variables, but I was actually the one who mixed up my variables.

Step-by-step explanation:

Sorry, Abdulazeez10 :( I can't change my rating, but just so everyone else knows, his answer is 100% correct!

Answer:

the missing measure is 129° all around is 360° half of 360° is 180°, 180° is one line so if you subtract 51° from 180° you get 129° im not so good at explaining but i hope you understand

Answer:

Step-by-step explanation:

Answer:

X>3

Step-by-step explanation:

Inequality form:

x>3

Hope this helped there wasn't much information sorry

Answer:

∠BOC = 45

Step-by-step explanation:

∠BOC + ∠AOB = ∠AOC ----------eq.1

where:

∠AOC = 96

∠BOC = 8x - 67

∠AOB = 9x - 75

find:  ∠BOC

plugin values into the eq.1

∠BOC + ∠AOB = ∠AOC

8x - 67 + 9x - 75 = 96

8x + 9x - 67 - 75 = 96

17x = 96 + 67 + 75

17x = 238

x = 238 / 17

x = 14

plugin x into ∠BOC = 8x - 67

∠BOC = 8x - 67

∠BOC = 8(14) - 67

∠BOC = 45

Answer:

-3 -3 -1 1

Step-by-step explanation:

give me five stars and ill tell you

Answer: Answer: -3,-1, and 1.

Step-by-step explanation: You are given the relation R = {(-3, -2), (-3, 0), (-1, 2), (1, 2)} The domain of the relation are all possible inputs and the range of the relation are all possible outputs. So, the inputs are : -3,-1,1; and the outputs are : -2,0,2. As a result, the domain is : -3,-1,1; and the range is : -2,0,2.

Answer:

1:2

Step-by-step explanation:

:)

Answer:

a(-3,-2)

b(-1,2)

c(3,2)

d(5,-2)

Step-by-step explanation:

a(-3,-2)

b(-1,2)

c(3,2)

d(5,-2)

Answer:

[tex]C= 40t+100[/tex]

Step-by-step explanation:

 In this exercise, we want to model an equation to represent the cost that Gabriel will when registering with a gym.

from the given information, we can model the cost after the equation of a straight line

y= mx+c

so "C" is the cost, while $40 is a fee dependent on "t" the number of months subscribed

and $100 is the joining fee, which is a constant term

[tex]C= 40t+100[/tex]

Answer:

b. y = - 2x² – 3x + 5

Step-by-step explanation:

If you check on a graphing calculator or desmos, you will see that the parabola opens down, so there is a highest point, or a maximum. You can also know that without a calculator by looking at the sign in front of x. Since answer choice b is the only one with a negative in front (meaning that the parabola opens down giving you a maximum) then you will know that that's the correct answer.

Answer:

[tex] x > - 7.5[/tex]

Step-by-step explanation:

[tex]x - 5.3 > - 12.8 \\ x > - 12.8 +5.3 \\ x > - 7.5[/tex]

Hey there! I'm happy to help!

A variable is a letter or symbol used to represent an unknown number.

We see two letters here: m and n. Therefore, those are the variables.

Have a wonderful day! :D

Answer:

4000

Step-by-step explanation:

140$ = 3.5 , divide by 3.5 on both sides

1% = 40$

100% = 4000$

Answer:

[tex]\huge\boxed{\$4,000}[/tex]

Step-by-step explanation:

[tex]p\%=\dfrac{p}{100}\\\\3.5\%=\dfrac{3.5}{100}=0.035\\\\3.5\%\ \text{of}\ x\ \text{is}\ \$140\\\\0.035\cdot x=140\qquad\text{divide both sides by 0.035}\\\\\dfrac{0.035\cdot x}{0.035}=\dfrac{140}{0.035}\\\\x=4,000[/tex]

Answer:

-8x + 146

Step-by-step explanation:

Step 1: Write out expression

3(58 - 6) - 2(4x + 5)

Step 2: Parenthesis

3(52) - 2(4x + 5)

Step 3: Multiply

156 - 2(4x + 5)

Step 4: Distribute

156 - 8x - 10

Step 5: Combine like terms (constants)

-8x + 146

Answer:

-9 - 6n is the answer

Steps to solve:

-3(3 + 2n)

~Distribute

-9 - 6n

Best of Luck!

Answer:

80

Step-by-step explanation:

Initial ratio:

Teachers to students

1 : 15

Ratio after:

Teachers to students

3 : 40

The number of students did not change, so we can make the students of the initial ratio and the students of the ratio after the same.

1 : 15 =  8 : 120

3 : 40 = 9 : 120

120 units = 1200

1 unit = [tex]\frac{1200}{120} =10[/tex]

Initial teachers = 8 units = [tex]8*10=80[/tex]

Answer:

yes, it is a improper fraction.

Step-by-step explanation:

1.36=34/25

Answer:

F(4) = -3

Step-by-step explanation:

First, you would plug in 4 for x. PEMDAS, so you would multiply -3 and 4, giving you -12. Then add 9, which gives you -3.

Answer:

Step-by-step explanation:

f(4)= -3*4+9

f(4)=-12+9

f(4)=-3

Answer

the plane will travel 170 miles per hour because you double the amount it already went because you had to double the minutes. so the answer is 170

Step-by-step explanation:

The plane traveled 85 miles in 30 minutes.

1 hour is 60 minutes.

30 minutes x 2 = 60 minutes ( 1 hour)

85 miles x 2 = 170 miles in one hour

The speed is 170 miles per hour

Answer :

Factors of 12 are

[tex] 1 \times 12 \\ 2 \times 6 \\ 3 \times 4. [/tex]

Answer: left 9 and up 6

Step-by-step explanation:

just if it’s in the bars it’s left if + and on the outside its up if +

Answer:

38.) is x = 11/4 and the one bellow it is x=-5

Step-by-step explanation:

Answer:

Hay un máximo de tres ceros en el producto de un número distinto de cero cero menor que 10 y 500

Para poder ver esto, la forma más fácil para resolver este problema es multiplicar todos los números entre 1 y 9 por 500, es decir:

01*500 = 500

2*500 = 1.000

3*500 = 1.500

4*500 = 2.000

5*500 = 2.500

6*500 = 3.000

7*500 = 3.500

8*500 = 4.000

9*500 = 4.500

Como vemos, si multiplicamos a 500 por cualquier número par, entonces obtenemos un número con tres ceros, mientras que si este es impar solamente obtenemos dos ceros

dame coronaa

Answer:

Don't know....

follow me and mark me brainliest

Answer:

x = 12

Step-by-step explanation:

For this problem it is important to note that the sum of the two unknown angles' measurements is equivalent to the given known angle measurement as implied by the drawing.  With this in mind let's write our givens:

m<CGF = 10x - 10

m<HGC = 3x + 10

m<HGF = 156

So now let's form our equation to represent the drawing:

m<CGF + m<HGC = m<HGF

And now let's solve the equation to find the value of the x.

m<CGF + m<HGC = m<HGF

( 10x - 10 ) + ( 3x + 10 ) = 156

10x - 10 + 3x + 10 = 156

13x = 156

x = 12

Hence, our value for x is 12.

Cheers.

Answer:

Option (1)

Step-by-step explanation:

This question is incomplete; Find the complete question in the attachment.

Quadrilateral JKLM is rotated 90° clockwise to produce quadrilateral J'K'L'M'.

By this transformation complete quadrilateral JKLM rotates from quadrant 1 to quadrant 4 and both will be similar.

But there will be no change in the given angles.

Therefore, m∠M = m∠M' = 60°

Option (1) will be the correct option.

Answer: Its 58382027.038

Step-by-step explanation:

Answer:

$26.48

Step-by-step explanation:

First you find out what 6 percent OF 24.99 dollars is,

OF stands for multiplication

so multiply 6 percent of 24.99

= 0.06 x 24.99

=  $1.4994 (That's a point not a comma, so it's around 1 dollar)

Then once you have found the sales tax which we found up there, you add it to the total cost of the shirts. (If it was a discount you would subtract it because it's a discounted price which means it's less - just another tip :) )

Anyway so you add it to the price,

24.99 + 1.49

= $26.48

Hope this helps! :)

One day is 24 hours.

Since there are 60 minutes in one hour there are 1440 minutes in one day.

5 hours 20 minutes is the same as 300+20, 320 minutes.

So 5hr 20min is [tex]\frac{320}{1440}[/tex] of the day.

(we can simplify that to [tex]\frac{2}{9}[/tex])

:)