Classify the pair of angles, then find the value of x.
(PLEASE HELP ME OUT!!)

We're given:

Let a represent the number of children who swam.

Let b represent the number of adults who swam.

Because we've set two variables, we need two equations to be able to find the answers.

One of the equations will regard price while the other will regard the number of people, as those are the two things given in the question.

Number of people:

[tex]a+b=478[/tex]

Price:

[tex]1.75a+2.25b=975[/tex]

We can solve this question using substitution, where we plug one equation into the other.

Isolate a in the first equation:

[tex]a+b=478\\a=478-b[/tex]

Plug the first equation into the second equation by replacing a:

[tex]1.75a+2.25b=975\\1.75(478-b)+2.25b=975[/tex]

Solve for b:

[tex]1.75(478-b)+2.25b=975[/tex]

⇒ Open up the parentheses:

[tex]836.5-1.75b+2.25b=975\\836.5-0.5b=975[/tex]

⇒ Subtract 836.5 from both sides to isolate b:

[tex]-0.5b=138.5[/tex]

⇒ Divide both sides by -0.5:

[tex]b=277[/tex]

Solve for a:

[tex]a+b=478[/tex]

⇒ Replace b with 277:

[tex]a+277=478\\a=201[/tex]

There were 201 children and 277 children at the pool that day.

Answer:

Given that Elena is currently e years  old and Katie is k years old. Now, nine years ago, Katie was twice as old as Elena was.

So, k - 9 = 2(e - 9)

⇒ k - 2e + 9 = 0 .............. (1)

And, in four years, Elena will be as old as Katie is now.

So, k = e + 4

⇒ k - e - 4 = 0 ............... (2)

Therefore, the equations (1) and (2) matches the conditions. (Answer)

Answer:

x = 45°

Step-by-step explanation:

We can tell that "x + 115" and 160° are vertically opposite angles, which means that they are equal. (Refer to image)

⇒ x + 115 = 160

⇒ x = 160 - 115

⇒ x = 45°

Learn more about vertically opposite angles: https://brainly.com/question/68367

Answer:

pentagon, octagon and heptagon.

Step-by-step explanation:

pentagon - five sides

hexagon - six sides

heptagon - seven sides

octagon - eight sides

quadrilateral - four sides

nonagon - nine sides

In this question, we have three polygons: pentagon, octagon and heptagon. (in order from left to right)

Hope this helps!

Answer:

The answer is 60

Step-by-step explanation:

If you take a calculator all you have to do is divide 240 by 4 and the and the answer will be 60 please mark me at halve star thank you!

Answer:

all students in the club

Step-by-step explanation:

Answer:

C. All students in each grade

Step-by-step explanation:

Answer choices A and B are the worst choices to represent all students in the school. D can also be crossed off because students in the social studies club would most likely have a biased answer. Surveying all students in each grade produces the most random, unbiased results, so C would be the best answer.

Hope this helps!

Answer:

C

Step-by-step explanation:

Hope this helps :D

Answer:

1. b

2.a

3.c

4.d

5.e

Step-by-step explanation:

because

Answer:

72

Step-by-step explanation:

that is a right triangle

90-18=72

supplementary angles are when two angles sum up to 180 degrees.

∠x and ∠y are supplementary angles

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

Answer:

64°

Step-by-step explanation:

Supplementary angles are two angles that add up to 180°.

∠x + ∠y = 180° <== substitute 116° for ∠y

∠x + 116° = 180° <== subtract 116 from both sides

     - 116    - 116

∠x = 64° <== measure of ∠x

Therefore, the measure of ∠x is 64°

Hope this helps!

The answer is 18

A = bh

A = 6(3)

A = 18

Answer:

18

Step-by-step explanation:

Parallelogram area= base*height

3*6=18

Answer:

D) 8.6%

Step-by-step explanation:

Answer:

[D] 8.6%

Step-by-step explanation:

Formula = Value 2 - Value 1 ÷ Original Value × 100

Given;

Bill was $24.74

Monthly bill is now $26.86

Answer choices:

[A] 7.3%

[B] 7.7%

[C] 8.2%

[D] 8.6%

Solve;

26.86-24.74 ÷ 26.86 × 100

2.12 ÷ 24.74× 100  = 8.56911883589

Round = 8.6%

 Hence, Answer = [D] 8.6%

~Learn with Lenvy~

Answer:

Explanation:

11x5=55

11x13=143

5x13/2=32.5

55+32.5+143=230.5

230x185 5/8 m²=42 693.75 m2

230x219 3/8 m²=50 456.25 m2

230x247 1/2 m²=56 925 m2

230x292 1/2 m²=67 275 m2

I DO NOT 100% KNOW IF THESE ARE CORRECT

Answer:

247 1/2 m 2

Step-by-step explanation:

have  a good day

Answer:

Step-by-step explanation:

1. A ticket at the NBA championship game costs $200 each. You will be given a discount of 8% if you buy early.

Your parents gave your $570

a) How much will you pay if you buy early.

$200 * 0.08 = $16 (how much you get off)

$200 - $16 = $184

This means that you will pay $184 for each ticket if you buy early.

b) Opps the tax is 4.5%.

4.5/100 = 0.045

$184 * 0.045 = $8.28 (how much you will be paying for tax)

c) How much will you pay including tax?

$184 + $8.28 = $192.28

d) How much will you pay for your two brothers?

You + your two brothers = 3 people

$192.28 * 2 = $384.56

Total for all 3 people: $192.28 + $384.56 = $576.84

e) Do you still have money for popcorn if your parents will give you $570.00?

The total cost of the tickets for you and your brothers is $576.84.

$576.84 is greater than $570.

So, no. You won't have money for popcorn.

Hope this helps!

Answer: 2/3 of an hour.

Step-by-step explanation: The constant rate of the lifeguard filling the pool is 1/3 of the pool every 1/2 hour.  If she fills it for an hour, she'll get 2/3 of the pool filled.  Therefore, it'll take the lifeguard 1 hour to fill the pool 2/3 of the way.

Hope this helps! :)

Answer:

2/3 of an hour

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

add all of the totals including the missing pair

we now have 24

7+1 is 8

24 minus 8 is 16

24 can be split into 2 groups of 8

and we have 2/3 left. which makes our solution 1/3

Answer:

hee-hee

Step-by-step explanation:

We first have to find out how many possible outcomes are in total.

There are 2 outcomes for the coin, either that the coin reads heads or tails.

There are 6 outcomes for the die, from 1 to 6.

2 x 6 = 12

There are 12 possible outcomes.

Now let's move on to the favorable outcomes.

We want to get the coin to flip on either heads or tails, and that the die has a number greater than or equal to 6.

The coin can only flip heads or tails.

The die's sides only goes up to 6.

The probability that the coin reads head and tails and that the dices  number is less than or equal to 6 is 12/12 or 1. It is certain.

hope this helps and hope this correct :)

the correct answer is 1 also do you do school on graduation alliance because i was looking for the same answers and the picture looks like the same as the quiz im doing lol

Answer:

2143.57cm^3

Step-by-step explanation:

here we know the volume of sphere is 4/3πr^3 and the total volume of the sphere is the required capacity of the sphere to hold the water

Answer:

[tex]4^{2}[/tex]

Step-by-step explanation:

so when you multiply two numbers with the same constant, and different exponents, just add the exponents!

so it is 5 - 3 = 2

so its [tex]4^{2}[/tex]

Answer:

A) 4²

Step-by-step explanation:

[tex](4^5)(4^{-3})\\\\4(^{5-3})\\\\4^2\\\\16[/tex]

Hope this helps!

Answer:

Step-by-step explanation:

The radius of cone = 9 cm

Step-by-step explanation:

Formula : Volume of a cone =  , where r= radius , h= height of the cone.

Given: Volume = 1,017.36 cubic centimeters

h = 12 centimeters

Substitute these values in formula , we get

Hence, the radius of cone = 9 cm

Answer:

1. A  8x-12

2. L  -10x+5

3. A  8x+12

4. W  18x-24

5. N  -6x+8

6. M  -16x-12

7. O  -5x+15

8. O  -6x+12

9. O  4x-10

10. O  -20x+8

11. W  -2x-6

12. E  -6x+3

13. R  -6x-12

Step-by-step explanation

You just multiply the number out of the parentheses by each number inside.  If it has a variable, in this case "x" then you just put "x" right after the number.

Example: 2(3x)= 6x

If there is just a negative out of the parentheses then you just change the sign.

Example: -(5x-3)= -5x+3

The mass of Saturn is 2000 more than the mass of Mercury.

Answer:

The mass of Saturn is 2000 more than the mass of Mercury

Step-by-step explanation:

Answer:

D. 3.14

Step-by-step explanation:

A = πr^2

2/2=1

r=1

1 squared is 1

so, 1 X Pie = 3.14

Answer:

CORRECT OPTION IS 150 CENTIMETERS OR YOU CAN SAY 1.5M :)

Step-by-step explanation:

GIVEN:

Walt grew 10 cm in one year

He is now 1.6m

SOLUTION:

We know that 1 m = 100cm

So 1.6 m = 160cm

So one year ago he was:

160 - 10 = 150cm

So he was 150 cm or 1.5 m one year ago.

Answer:

1.) 3

2.) 2

3.) 4

Answer:

x.x.x.x.x.x=4

Step-by-step explanation:

the x means how many times to multiply 4 in this case your multiplying 4, 6 times to get 24

Answer:

advantages—abundant natural resources, a stable government with relatively lax regulations, and a large workforce—made it the dominant industrial power by the 20th century.

Step-by-step explanation:

The benefits of division of labor include a wealth of natural resources, a stable government with few restrictions, and a sizable workforce that helped it become the world's leading industrial power by the 20th century.

Division of labor is indeed the division of a work flow into several tasks, each of which is carried out by a different person or group of people. It is one of the fundamental organizational concepts of the production line and is most frequently used in mass production systems.

In any economic organization, the division of work refers to the separation of duties to allow members to specialize. Division of Labor refers to the division of the primary manufacturing process into a number of straightforward sections, each of which is produced by a distinct worker who specializes in producing that particular element.

Thus, the benefits of division of labor include a wealth of natural resources, a stable government with few restrictions, and a sizable workforce that helped it become the world's leading industrial power by the 20th century.

Learn more about Division of Labor, here:

https://brainly.com/question/24691008

#SPJ2

Answer:

2.5 cm

Step-by-step explanation:

5 Cm is the diameter and the radius is half the diameter so 5/2=2.5 or 1/2

Answer:

radius = 2.5cm

Step-by-step explanation:

diameter = 5cm

radius = diameter / 2

= 5 / 2

= 2.5cm