Apply the distributive property to factor out the greatest common factor of all three terms.
9a−18b+21c=

Answer:

The volume of the figure is: 60840[tex]\pi ^3[/tex], or approximately about 191037.6 ft^3.

Step-by-step explanation:

This 3D figure can be split into two separate figures, a half-sphere, and a cone.

Let's first try to find the volume of the half-sphere.

The formula for the volume of the half-sphere is [tex]\frac{2}{3}\pi r^3[/tex], so substituting 39 for r gives us a volume of 39546[tex]\pi \\\\[/tex]ft^3, or about 124174.44 ft^3.

Next, let's find the volume of the cone. We see that the radius of the cone is once again 39 ft, and the height of the cone i s just 81-39, or 42 ft.

The volume of a cone is [tex](\pi r^2h)/3[/tex], and substituting 39 for r and 42 for h, we obtain a result of 21294[tex]\pi^3[/tex], or about 66863.16

Thus, the final volume of the figure is: 60840[tex]\pi ^3[/tex], or approximately about 191037.6 ft^3

Answer:

x = -3

Step-by-step explanation:

4(2 - 4x) - 3x = 65

Distribute the 4.

8 - 16x - 3x = 65

Combine like terms.

8 - 19x = 65

-19x = 57

Divide by -19 to isolate x.

x = 57/-19

x = -3

Check.

4(2 - 4(-3)) - 3(-3) = 65

4(2 - (-12) + 9 = 65

4(14) + 9 = 65

56 + 9 = 65

65 = 65

The solution of the given linear equation 4(2 - 4x) - 3x = 65 is  -3.

Two algebraic expressions separated by an equal symbol in between them and with the same value of the expression are called equations.

Example = 2x +4 = 12

here, 4 and 12 are constants and x is variable.

The solution of the equation 4(2 - 4x) - 3x = 65 is calculated as:

4(2 - 4x) - 3x = 65

Multiply the expressions inside the brackets,

8 - 16x -3x = 65

8 - 19x = 65

Subtract 8 from both the sides,

-19x = 65- 8

-19x = 53

Divide both side by -19

[tex]x = \dfrac{-53}{19}[/tex]

Thus, the value of x is -3.

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Answer:

-1

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

2(3x - 1) ≥ 4x - 6

Step 2: Solve for x

Here we see that any value x greater than or equal to -2 would work as a solution.

Answer:

A. Starting at the origin, go 3.5 spaces to the right and then 4 spaces up.

Step-by-step explanation:

if you were to plot this then the point would be (3.5,4) instead of (4,3.5)

Starting at the origin, go 3.5 spaces to the right and then 4 spaces up will not get you to the point (4,3.5) but will get you (3.5, 4). The correct option is A.

Coordinates are a pair of integers (Cartesian coordinates), or occasionally a letter and a number, that identify a certain place on a grid, often referred to as a coordinate plane.

We have the point (4, 3.5).

And let the point (x, y).

By comparing,

we get,

x = 4 and y = 3.5

That means, the value in the x coordinate is 4 and y coordinate is 3.5.

As the signed distance from the origin in the direction along the x-axis, the first value x is known as the x-coordinate (or x-component). The x-coordinate indicates the distance from the y-axis to the right (if x is positive) or left (if x is negative).

Additionally, the y-coordinate indicates how many steps are needed to up either positively or negatively on the y-axis.

So, the point is 4 point right from the origin and 3.5 point up from the origin.

Therefore, starting at the origin, go 3.5 spaces to the right and then 4 spaces up will not get you to the point (4,3.5)

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Answer:

Step-by-step explanation:

1. Not

2. Yes

3. not

Answer:

x = 16hours

Step-by-step explanation:

Given

Total number of hours to watch the television a week is 2 hours, that is;

2hours =1 week

We are to find the number of hours to watch in eight weeks to meet the goal

x hours = 8 weeks

Divide both expressions;

2/x = 1/8

Cross multiply

1 * x = 2*8

x = 16

Hence he will use 16hours to watch the television in 8 weeks

Answer:

1/2 inch: 3 feet

Step-by-step explanation:

It says in the bottom right corner.

Answer:2tt

Step-by-step explanation:

huh

Answer:

-8/13

Step-by-step explanation:

The slope of (-6,5) and (7,-3) is -8/13.

Answer: pretty sure it’s -8

Step-by-step explanation:

I used the slope formula which is:

m= y2-y1/x2-x1

m= -3-5/7-6

m= -8/1

m= -8

Answer:

solving form; m< -12  

Step-by-step explanation:

On a linear graph there would be an open circle on the number -12 and the line would be pointing left

Answer:

35

Step-by-step explanation:

i pretty sure

Hey again!

The answer to your question is 122.5 feet²

We can find the dimensions of the new figure:

2 x 3.5 = 7

5 x 3.5 = 17.5

Area = length x width, so 7 x 17.5 = 122.5

Hope it helps!

Answer:

18 albums

Step-by-step explanation:

2x+3x=45

5x=45

x=9

country=2(9) = 18 album

Answer: n= -35

Step-by-step explanation: N= 7(-5) =-35

Step-by-step explanation:

2(4y-44)°+2(3y+35)°=360°

(8y-88)°+(6y+70)°=360°

(8y+6y+70-88)°=360°

(14y-12)°=360°

14y=360°+12°

14y=372°

y=372°/14

y=27°

acute angle

(4y-44)° =4(27)°-44°

=108°-44°=64°

Answer:

no its 1749

Step-by-step explanation:

Answer: 82.25 minutes

Step-by-step explanation:

First convert the minutes she took to hours. This would be:

= 35/60

She is reading at a speed of 20 pages per 35/60 hours.

To finish 47 pages therefore, she will take:

= (47 * 35/60) / 20

= 1.37083 hours

Converted to minutes that would be:

= 1.37083 * 60 mins

= 82.25 minutes

Answer:

Your answer will be A have a good day :)

Step-by-step explanation:

A - 1 = 1 and B is 1

Answer:

7:18

Step-by-step explanation:

Chris attempted a total of 25 shots

He made 18 shots

Number of shots missed= 25-18

= 7

Therefore the ratio of shots missed and shots made can be calculated as follows

7:18

Hence the ratio is 7:18

Answer:

a 6-ounce bottle or a 10-ounce bottle. The juice in a 10-ounce bottle contains 150 calories. How many calories are in a 6-ounce bottle? Darnell can buy a particular brand of fruit juice in a 6-ounce bottle or a 10-ounce bottle. The juice in a 10-ounce bottle contains 150 calories. How many calories are in a 6-ounce bottle?

Step-by-step explanation:

Darnell can buy a particular brand of fruit juice in a 6-ounce bottle or a 10-ounce bottle. The juice in a 10-ounce bottle contains 150 calories. How many calories are in a 6-ounce bottle? Darnell can buy a particular brand of fruit juice in a 6-ounce bottle or a 10-ounce bottle. The juice in a 10-ounce bottle contains 150 calories. How many calories are in a 6-ounce bottle?

Answer:

y - 12 = 3(x - 5)

Step-by-step explanation:

Going from (-2, -9) to (5, 12), x (the run) increases by 7 and y (the rise) increases by 21.  Thus, the slope of this line is m = rise / run = 21/7 = 3.

Using the point-slope formula y - k = m(x - h), we get:

y - 12 = 3(x - 5)

Answer:

x = 68°

Step-by-step explanation:

Let us solve the question

In the given figure

∵ The ray WD bisects ∠ZWN

→ That means it divides the angle into two equal angles, ∠ZWD and ∠DWN

∴ m∠ZWD = m∠DWN

∵ m∠ZWD = 5v - 7

∵ m∠DWN = 4v + 8

→ Equate the measures of the two angles

∴ 5v - 7 = 4v + 8

→ Add 7 to both sides

∵ 5v - 7 + 7 = 4v + 8 + 7

∴ 5v = 4v + 15

→ Subtract 4v from both sides

∵ 5v - 4v = 4v - 4v + 15

∴ v = 15

∵ x = m∠ZWD

∴ x = 5v - 7

→ Substitute v by 15

∵ x = 5(15) - 7

∴ x = 75 - 7

∴ x = 68°

Answer:

A=21

Step-by-step explanation:

4 decilitres= 0.4 litres

8.4/0.4=21

Answer:

C is your correct answer i think

Step-by-step explanation:

Answer:

he's 20 now

Step-by-step explanation:

add 12 and 8

The present age of Marcus will be 8 years now.

The link between numbers, variables, and functions using mathematical signs like addition, subtraction, multiplication, and division is referred to as expression in mathematics.

Mathematical expression is defined as the relationship between numerical variables and mathematical operations such addition, subtraction, multiplication, and division.

Marcus was 12 years old eight years ago. Marcus' age as of right now will be determined as follows:

x - 8 = 12

x = 12 + 8

x = 20 years

Therefore, the present age of Marcus will be 8 years now.

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Answer:

The area of the rectangle is 420 square inches

Step-by-step explanation:

By adding the diagonals, we have a total of

18.5 * 2 = 37 inches

We can apply Pythagoras’ theorem to get the other side of the triangle

It states that the square of the hypotenuse equals the sum of the squares of the two other sides

Let the other side measure x inches

Thus;

37^2 = 12^2 + x^2

x^2 = 37^2 - 12^2

x^2 = 1225

x = √1225

x = 35 inches

So the area of the triangle would be;

35 * 12 = 420 square inches

Answer:

420

Step-by-step explanation:

Answer:

17 miles

Step-by-step explanation:

If Heidi starts out by traveling 15 miles south, then y = -15 miles

If she then turns and rides 8 miles east, then x = +8miles

The distance from her starting position to her tent is gotten using the pythagoras theorem as shown;

d = √(-15)²+8²

d = √225+64

d = √289

d = 17miles

Hence her distance from her starting position to her tent is 17 miles