Why are inverse operations and
properties of equality important when solving
equations? Explain.

Answer:

   Adult tickets sold:   156

Step-by-step explanation:

   Adult ticket:   x

Student ticket:  y

x + y = 260                  ===>   -6(x + y = 260)     ===>  -6x -6y = -1560

6x + 4.5y = 1404         ===>                                           6x + 4.5y = 1404

                                                                                  ________________

add the two equations to eliminate a variable:                  -1.5y = -156

divide by -1.5:                                                                              y = 104

substitution to find x:

      x + y = 260

  x + 104 = 260

            x = 156

Answer:

E, the heart

Step-by-step explanation:

Answer:

The heart

Step-by-step explanation:

It is able to flip and still look the same

Answer: 37/3

Step-by-step explanation:

12 1/3 = 12*3+1/3 = 37/3

Answer:

[tex]\frac{37}{3}[/tex]

Step-by-step explanation:

[tex]12\frac{1}{3}[/tex]

When converting mixed numbers (such as the one above), to improper fractions, we must first multiply the whole number by the denominator:

[tex]12*3=36[/tex]

Then, add the numerator the the product:

[tex]36+1=37[/tex]

Now, put the sum over the denominator to get your solution:

[tex]\frac{37}{3}[/tex]

-

To check your work, you can convert the improper fraction to a mixed number to make sure you will end up with [tex]12\frac{1}{3}[/tex].

Divide [tex]37[/tex] into [tex]3[/tex]:

[tex]12[/tex] with a remainder of [tex]1[/tex]

Put the remainder over the denominator:

[tex]12\frac{1}{3}[/tex]

Therefore, our solution is correct!

Answer:

B

Step-by-step explanation:

to find the percentage, put 200 (electricity and cable) over 2500 (monthly budget) and multiply it by 100. So 200/2500 * 100/1. Hope that helps

Answer:

It is 50 mph

Step-by-step explanation:

Answer:

I believe the answer is 12

Answer:

the correct answer would be 12

Step-by-step explanation:

10 1/3 + 1 2/3

31/3 + 1 2/3

31/3 + 5/3

=12

Hope this helps, happy holidays!!

Area of triangle:

A= 1/2*b*h

=  1/2 *(29)* (19)

= 1/2 *(551)

= 275.5 in^2

Area of rectangle:

A= l * w

= (29) * (10)

= 290 in^2

Total Area:

275.5 + 290 = 565.5 in^2

Hope this helps! Have a great day :)

Answer:

565.5 in

Step-by-step explanation:

The area for a rectangle is A = lw

So A = (29)(10)

A = 290

The area for a triangle is A = 1/2bh

So A = 1/2(29)(19)

A = 1/2(551)

A = 275.5

You combine the two numbers to get a total area of 565.5 in

Answer:

radius r = 9.8 m

base circumference C = 61.575216 m

volume V = 1971.22792 m3

curved surface area A = 603.437117 m2

base surface area B = 301.718558 m2

total surface area K = 905.155675 m2

Answer:

Part A - The answer is C

Part B - a.true, b.true, c.false, d.true.

Step-by-step explanation:

Part A

The slope shown on the table is -60 because the table shows that after each hour, the Gallons of Water decrease by 60.

Part B

a. The slope is -60 not -600, this was established on Part A.

b. We start off with 600 gallons of water. The equation is y = 600 - 60x. If we input 7 as x, we get 600 - 420 which is 180.

c. The initial value was 600, -60 is the slope.

d. As mentioned in b. of part B.

A linear function changes by a constant rate.

Two points on the table are given as:

[tex](x,y) = (0,600)\ (1,540)[/tex]

The slope (m) of the points is calculated as:

[tex]m = \frac{y_2 - y_1}{x_2 -x_1}[/tex]

So, we have:

[tex]m = \frac{540 - 600}{1-0}[/tex]

[tex]m = \frac{- 60}{1}[/tex]

[tex]m = - 60[/tex]

So, the slope is -60, and it represents the rate at which the amount of water changes hourly.

The function of the table is represented as:

[tex]y = -60x + 600[/tex]

So:

(a) is false, because the slope is -60

(b) is true, because y = 180 when x = 7

(c) is false, because the initial value is 600

(d) is true

Read more about linear functions at:

https://brainly.com/question/15602982

9514 1404 393

Answer:

  D

Step-by-step explanation:

The coefficient of 5/4 in the given equation tells you that you are looking for a table or graph that has a y-increase of 5 for each x-increase of 4.

Graph D is the one.

__

Let's look at the choices:

  A: y increases for an x-increase of 4

  B. y increases 16 (from -7 to 9) for an x-increase of 4 (from -2 to 2)

  C. y increases -5 (from -9 to -14) for an x-increase of 4 (from 4 to 8)

  D. y increases 5 (from -2 to 3) for an x-increase of 4 (from -4 to 0)

Answer:

I believe its the last one

Answer:

the last one.

Step-by-step explanation:

Answer:

4.5 hours

Step-by-step explanation:

Answer:

1) greater than

2) less than

3) greater than

4)less than

5) greater than

6) greater than

Step-by-step explanation:

Answer:

-400i

General Formulas and Concepts:

Algebra II

Step-by-step explanation:

Step 1: Define

z = -400i - 44.5

Step 2: Identify

Treat imaginary i as a variable. The imaginary part of z would be the entire term of i. Therefore, our answer is -400i

Answer:

40%

Step-by-step explanation:

because im just built different

Answer:

x = 1, y = 0

Step-by-step explanation:

Given the 2 equations

y = - 2x + 2 → (1)

y = x - 1 → (2)

Substitute y = x - 1 into (1)

x - 1 = - 2x + 2 ( add 2x to both sides )

3x - 1 = 2 ( add 1 to both sides )

3x = 3 ( divide both sides by 3 )

x = 1

Substitute x = 1 into either of the 2 equations for corresponding value of y

Substituting into (2)

y = 1 - 1 = 0

Solution is (1, 0 )

Answer:

the answer is 43

Step-by-step explanation:

Answer:

Both the domain and range are the set of all real numbers. For the absolute value function f(x)=|x| f ( x ) = | x | , there is no restriction on x . ... For the cubic function f(x)=x3 f ( x ) = x 3 , the domain is all real numbers because the horizontal extent of the graph is the whole real number line. this is the best i can do if its not helpful i guess u can ask ur teacher.

Answer:

a. The approximate surface area of the Earth based on the diameter of the Earth measured from the poles is approximately 1.961 × 10⁸ mi²

The approximate surface area of the Earth based on the diameter of the Earth measured from the equator is approximately 1.974 × 10⁸ mi²

b. The surface area of the water on Earth using the diameter of the Earth measured from opposite points of the equator is approximately 1.480 × 10⁸ mi²

Step-by-step explanation:

The given parameters are;

The diameter of the Earth measured from the North to the South pole, [tex]D_p[/tex] = 7899.83 miles

The diameter of the Earth measured from (across) opposite points of the equator, [tex]D_e[/tex] = 7926.41 miles

a. The surface area, [tex]A_E[/tex], of the Earth, taking the Earth as a perfect sphere, is given as follows;

A = 4 × π × r²

Where;

r = The radius of the sphere = 1/2 × the diameter of the sphere

For the diameter measured from poles, [tex]r_p[/tex] = [tex]D_p[/tex]/2 = (7899.83 miles)/2 = 3949.915 miles

The approximate surface area of the Earth based on the diameter of the Earth measured from the poles, [tex]A_{Ep}[/tex] = 4 × π × (3949.915 miles)² = 196058359.283 mi² ≈ 1.961 × 10⁸ mi²

For the diameter measured from equator, [tex]r_e[/tex] = [tex]D_e[/tex]/2 = (7926.41 miles)/2 = 3963.205 miles

The approximate surface area of the Earth based on the diameter of the Earth measured from the equator, [tex]A_{Ee}[/tex] = 4 × π × (3963.205 miles)² = 197379906.233 mi² ≈ 1.974 × 10⁸ mi²

b. The percentage of the surface area of the Earth covered by water ≈ 75%

The surface area of water on Earth using the diameter of the Earth = 7926.41 miles (the diameter measured from the equator), we have;

The area of the Earth with a diameter of 7926.41 miles was given as  [tex]A_{Ee}[/tex] = 4 × π × ((7926.41 miles)/2)² = 197379906.233 mi²

The surface area of the water on Earth = 75% × The area of the Earth = 75/100 × 197379906.233 = 148034929.675 mi² ≈ 1.480 × 10⁸ mi²

Step-by-step explanation:

1st digit : 1 / 2 / 4 / 5

4th digit : 0 / 2 / 4 / 6 / 8

Total number of sets = 4 * 10 * 10 * 5 = 2000.

Answer:

296 cm

Step-by-step explanation:

Joanna is 152cm tall

Kristal is 152 - 8 =  144 cm

The sum of the heights is

152 + 144 =296 cm

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

Work Shown:

(x-10)-(x-20)

x-10-x+20

(x-x)+(-10+20)

0x+10

0+10

10

Answer:

x = infinite amount of solutions

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define Equation

2x + 3 + 4x = 6x + 3

Step 2: Solve for x

Here we see that x does indeed equal to x.

∴ x = infinite amount of solutions.

2x + 3 + 4x = 6x + 3

Combine the like terms on the left side

2x + 4x = 6x

6x + 3= 6x + 3

Subtract 3 from each side

6x = 6x

Divide each side by 6

x = x

No matter what x is, they are the same. It has infinite solutions.

Answer:

A 33 degree change

Step-by-step explanation:

67-34=33

Answer:

15/100

Step-by-step explanation:

15% is out of 100% so when writing it into a fraction it is 15 over 100, because 15% is out of 100%

Hint:If you want to put it into a decimal it will be 0.15 so when turning it into a fraction, the 1 is in the tenths place and the 5 is in the hundredths place.

Answer:

Ameliorate retort, pertaining to reinstating interrogate is B., -12.

Step-by-step explanation:

Availing albeit maneuvering the Order of Operations (OO), the contiguous albeit proximate expression may evaluate as the preeminent imminent:

- Thus, the ameliorate retort, reinstating interrogate is the aggregate, -12.

*Hope this helps.

Answer:

5 hours

Step-by-step explanation:

35x+25 = 40x

25=5x

x= hours