Which is an equation?
A) 6 - x
B) 3/4 x + 2
C) 12(7 - 3)
D) 6x - 6y - 6z

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:

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Answer:

1) greater than

2) less than

3) greater than

4)less than

5) greater than

6) greater than

Step-by-step explanation:

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:

It is 50 mph

Step-by-step explanation:

Answer:

The answer is D: y - 3 = -1/7 (x+3)

Step-by-step explanation:

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:

-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:

First, we are given that line segments AB and ED are congruent and that AE and BD bisect each other. This means that AC and CE are congruent, and they are also congruent to BC and CD. Next, angle ACB and angle DCE are congruent because of the vertical angles theorem. This means that triangle ABC and triangle EDC are congruent by the Side-Angle-Side congruency theorem, and also the Side-Side-Side theorem.

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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:

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

Work Shown:

(x-10)-(x-20)

x-10-x+20

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

0x+10

0+10

10

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: 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!

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:

A 33 degree change

Step-by-step explanation:

67-34=33

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:

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. 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

Given:

The total admission price for a group of 4 adults and 10 children is $57.

The total admission price for a group of 3 adults and 7 children is $41.

To find:

The admission prices for an adult and for a children.

Solution:

Let the price of an adult be x and price of children be y.

According to the question,

[tex]4x+10y=57[/tex]         ...(i)

[tex]3x+7y=41[/tex]      ...(ii)

Multiply equation (i) by 3.

[tex]12x+30y=171[/tex]         ...(iii)

Multiply equation (i) by 4.

[tex]12x+28y=164[/tex]      ...(iv)

Subtract (iv) from (iii).

[tex]12x+30y-12x-28y=171-164[/tex]

[tex]2y=7[/tex]

Divide both sides by 2.

[tex]y=3.5[/tex]

Put y=3.5 in (i).

[tex]4x+10(3.5)=57[/tex]

[tex]4x+35=57[/tex]

[tex]4x=57-35[/tex]

[tex]4x=22[/tex]

Divide both sides by 4.

[tex]x=5.5[/tex]

Therefore, the price for an adult is $5.5 and price for a child is $3.5.

Answer:

4.5 hours

Step-by-step explanation:

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

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:

5 hours

Step-by-step explanation:

35x+25 = 40x

25=5x

x= hours

Answer:

25%

Step-by-step explanation:

Answer:

15

Explanation

1/5x75=75/5 =15

15 seventh graders play in the jazz band as per the given ratio.

One quantity can be expressed as a fraction of other quantities using a ratio, which is a number. Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two objects.

Given At Charles School, 1/5 of the 75 students in seventh-grade play in the jazz band.

In the form of a ratio

1/5 the students out of 75 play in the jazz band

Total students play in the jazz band = 75* 1/5

Total students play in the jazz band = 15

Therefore, The jazz band has 15 seventh graders playing according to the ratio.

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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!!

Answer:

40%

Step-by-step explanation:

because im just built different

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