use the distributive property to write the following expressions in expanded form

Answer:

Answer:

5.46π cm³

Step-by-step explanation:

Volume of sphere= 4/3πr³

= 4/3×π×(1.6)³ cm³

=5.46π cm³

hope this helped you!

Answer:

24

Step-by-step explanation:

x * 5 - 17 = 103

x * 5 = 120

x = 24

Answer:

s=24

103+17=120

120÷5=24

making the answer 24

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Answer:

x=3

Step-by-step explanation:

y=10x

y=-3x + 39

10x = -3x + 39

+3x (to both sides)

13x = 39

Divide by 13

x=3

Answer:

21 small dogs, 42 total dogs

Step-by-step explanation:

7×3=21

7+7=14

14×3=42

Answer:

1. 5.61 lb 2. 22,000 pounds 3. they are the same

Step-by-step explanation:

16 oz in a lb. 16 x 5 is 90. extra 7 is approx 0.61 of a pound. 2000 lb in a ton. 2000 x 2 = 20000 extra 2000. 22000 is bigger. 1000 grams in a kilo. 1000 x 7 = 7000. they are the same

Answer:

D) V = 192 cm³

Step-by-step explanation:

V = [tex]\frac{lwh}{3}[/tex]

V = [tex]\frac{(8)(8)(9)}{3}[/tex] = [tex]\frac{576}{3}[/tex]

V = 192 cm³

Answer:

B

Step-by-step explanation:

Answer:

k = 3

Step-by-step explanation:

Given that b varies jointly with c and d and inversely with f then the equation relating them is

b = [tex]\frac{kcd}{f}[/tex] ← k is the constant of variation

To find k use the condition c = 4, d = 9, f = 6 , b = 18, then

18 = [tex]\frac{k(4)(9)}{6}[/tex] = [tex]\frac{36k}{6}[/tex] = 6k ( divide both sides by 6 )

3 = k

Answer:

C. 3

Step-by-step explanation:

edge 2021

Answer:

x = 0 , 2/3

Step-by-step explanation:

3x^3-x^2=x^2

3x^3-2x^2=0

x^2(3x-2)=0

Now split into two equations:

1)

x^2=0

x=0

2)

3x-2=0

3x=2

x=2/3

Answer:

(-∞,∞)

Step-by-step explanation:

The domain is all possible x values of the function

There are no constraints or holes for this and therefore the domain is all real numbers

A function is a relationship between inputs where each input is related to exactly one output.

x values can be ........-5,-4,-3,-2,-1, 0, 1, 2, 3, 4, 5, 6,.........

The reasonable domain for the function f(x) = 10x + 8 is (-∞, ∞).

A function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

f(x) = 10x + 8

We can have any real values of x.

f(-2) = -20 + 8 = -12

f(-1) = -10 + 8 = -2

f(1) = 10 + 8 = 18

f(2) = 20 + 8 = 28

f(3) = 30 + 8 = 28

.

.

.

x values can be ........-5,-4,-3,-2,-1, 0, 1, 2, 3, 4, 5, 6,.........

So,

The domain of the function f(x) = 10x + 8 is -∞ to ∞.

We can write as an interval as,

(-∞, ∞).

Thus,

The reasonable domain for the function f(x) = 10x + 8 is (-∞, ∞).

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Answer:

You did not provide an image for the graph, but the graph that would represent your function would look like this:

Answer:

it should be letter A

Step-by-step explanation:

Answer:

the awnser should have is. b

Answer:

The middle term is negative but should be positive

Step-by-step explanation:

Let's walk through doing it:

[tex]-3x^2(4x^2 - 5x + 7)\\= -12x^4 + 15x^6 - 21x^2[/tex]

Answer:

x = 3.5

Step-by-step explanation:

[tex]\frac{4}{7}[/tex] = [tex]\frac{2}{x}[/tex]

4x = 14

x = 3.5

Answer:

independent is r and dependent is y

Step-by-step explanation:

An independent variable is exactly what it sounds like. It is a variable that stands alone and isn't changed by the other variables you are trying to measure.

a tree grows a ring for each year, therefore, to determine a trees age, you need to count the rings. the rings "r" dictate the age or years "y"

Answer:

90 cm

Step-by-step explanation:

Given that :

Perimeter of a rectangle = 2(Length + Width)

Perimeter of print area = 2(100 + 140) = 480cm

Perimeter of entire poster :

Let uniform width of blank strip = x

x on each of the 4 sides side ;

2(2x + 100 + 2x + 140)

2(4x + 240)

8x + 480

Perimeter of poster = 1 2/3 perimeter of print area

8x + 480 = 5/2(480)

8x + 480 = 1200

8x = 1200 - 480

8x = 720

x =. 720 / 8

x = 90 cm

Answer:

D

Step-by-step explanation:

We can safely assume we are dealing with an arithmetic scale because the type of scale isn't mentioned anywhere. The more right a point is on the scale, the higher its value is. We are given two points of the scale: 3 and 4. Because the scale is arithmetic, we know that 3.8 must lie on 4/5s of the length between 3 and 4 to the right of 3, which is exactly where point D is.

Answer:

Step-by-step explanation:

The supplement to ∠1 = 180°-135° = 45° = ∠3, so m is parallel to j and l.

∠2 ≠ 45° and ∠2 ≠ 135°, so k is not parallel to j, l, or m.

Answer:

2280

Step-by-step explanation:

Answer:

[tex]h= 2x[/tex]

Step-by-step explanation:

Given

Square

[tex]Side = x[/tex]

Triangle

[tex]Base = x[/tex]

[tex]Altitude = h[/tex]

Required

Find h, if both shapes have the same area

The area of the square is:

[tex]Area = x * x[/tex]

[tex]Area = x^2[/tex]

The area of the triangle is:

[tex]Area = \frac{1}{2} * Base*Height[/tex]

[tex]Area = \frac{1}{2} * x*h[/tex]

Equate both areas

[tex]x^2 = \frac{1}{2} * x*h[/tex]

Divide both sides by x

[tex]x = \frac{1}{2} *h[/tex]

Multiply both sides by 2

[tex]2*x = \frac{1}{2} *h*2[/tex]

[tex]2x = h[/tex]

[tex]h= 2x[/tex]

Answer:

Negative number divided by a negative number equals a positive number. The rule never changes.

Have a good rest of your life

Answer:

45º

Step-by-step explanation:

diagonals bisect the corners of a square

the angle measure of the corners of a square is 90º

since the diagonal bisects the corners: 90÷2 = 45º

Answer:

Step-by-step explanation: 10/2 = 5

20^2= x^2 + 5^2

400=x^2+25

x^2=375

x= 19.4

Answer:

h = 19.36 cm

Step-by-step explanation:

using Pythagorean theorem

20^2-5^2 = h^2

h^2 = 375

h = 19.36 cm

Answer:

The solution of the given equations

x = 3 and y =-2.5

Step-by-step explanation:

Step(i):-

  x - 2y = 8 ..(i)

3x = 19 +4y ..(ii)

By using substitution method

substituting  x = 2y +8 in equation (ii)

 ⇒  3( 2y +8) = 19 +4y

⇒   6y +24 = 19 +4y

⇒  6 y - 4y = 19 - 24

⇒   2 y = -5

   [tex]y = \frac{-5}{2} = -2.5[/tex]

Step(ii):-

Substitute 'y' = -2.5 in equation (i) , we get

         x - 2y = 8

   ⇒  x - 2( [tex]\frac{-5}{2}[/tex]) =8

  ⇒  x = 8 -5

      x = 3        

Final answer:-

The solution of the given equations

x = 3 and y =-2.5

Answer:

8 1/2 cup servings

Step-by-step explanation:

Hello!

Well to solve this we have to take the total amount of cups of ice cream and divide it amongst the servings.

So :

Total = 4 cups

Serving = 1/2 cup

What we can do since its such a lower number is count it out by increments of 1/2.

Like so :

So, in total, there would be 8 servings of half a cup of ice cream in 4 cups.

I hope this helps!

If you have any questions or concerns feel free to message me or comment! :)

The number of 1/2 ­cup servings are in 4 cups of ice cream are 8.

A division is a process of splitting a specific amount into equal parts.

We need to find the number of 1/2 ­cup servings are in 4 cups of ice cream

A half cup serving is equal to 4 fluid ounces.

Therefore, 4 cups of ice cream is equal to 8 half-cup servings,

since 4 cups is equal to 32 fluid ounces and 32 divided by 4 equals 8.

4/(1/2)

4×2

8 cups

Hence, the number of 1/2 ­cup servings are in 4 cups of ice cream are 8.

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Step-by-step explanation:

a) x=0, y=6

x=1, y=4

x=2 , y=2

x=3, y=0

x=4, y= -2

y= 6-2x

b) look at the attachment.

c)

6-2x=3

-2x=-3

x=3/2