How to fill in the prime factor tree?????? Answer???

Answer:

Week 1:  15

Week 2: 21

Step-by-step explanation:

5 x 3 = 15

7 x 3= 21

Hello - let's do this step by step. Show your work.

You're asking: 9(8−x)=3x.

Now, simplify both sides of the equation.

9(8−x)=3x

(9)(8)+(9)(−x)=3x (To do that, distribute)

72+−9x=3x

−9x+72=3x

Now,  subtract 3x from both sides.

−9x+72−3x=3x−3x

Simplify,

−12x+72=0

After, subtract 72 from both sides.

−12x+72−72=0−72

−12x=−72

Last thing, divide both sides by -12.

-12x/12 = -72/-12

Divide.

Therefore, you have x = 6 as your final answer.

Hello there!

9(8-x)=3x

Use the Distributive Property to distribute 9:

72-9x=3x

Move all the variables to the left side. Be sure to use the opposite operation!

-9x-3x=-72

-12x=-72

Divide both sides by 12 in order to isolate x:

         x=6

Hope this helps you!

~Just a joyful teen

[tex]SilentNature[/tex]

Answer:

CD = 3

Step-by-step explanation:

Given 2 secants from an external point to the circle, then

CB × CA = CD × CE , that is

4 × (4 + 6.5) = CD × 14

4 × 10.5 = 14CD

42 = 14CD ( divide both sides by 14 )

CD = 3

Answer:

[tex]x=38.56[/tex]

Step-by-step explanation:

First, we'll solve for the missing angle.

The interior angles of a triangle add up to 180, so let's make an equation.

[tex]35+90+x=180 \\ \\ 125+x=180 \\ \\ x=55[/tex]

Now we can use the law of sines.

[tex]\frac{a}{sin(A)}=\frac{b}{sin(B)}[/tex]

Where the lowercases are the side lengths and the uppercases are the angle measures.

Plug in the values we know.

[tex]\frac{27}{sin(35)}=\frac{x}{sin(55)}[/tex]

Solve using a calculator.

[tex]x=38.55999618 \\ \\ x=38.56[/tex]

Answer:    6x-4

Step-by-step explanation:  The number 6 is multiplied by another variable so it would be written as 6x and then 4 is less than whatever 6x is so it would be 6x-4.

Answer:

Step-by-step explanation:

Definition of absolute value:

|a| = a if a ≥ 0

|a| = -a if a < 0

Examples:

|2| = 2

|-2| = -(-2) = 2

|0.45| = 0.45

|-0.45| = -(-0.45) = 0.45

|1000| = 1000

|-1000| = 1000

Therefore

|1.7| = 1.7

A is the most common

are they supposed to look like 1x10^-20 lb?? that would make it easier for you to determine the answer

i hope this helps

Answer:

There is 1 way to vote for 0 people. There are 8 ways to vote for 1 person. There are 8⋅7/ 2 ways to vote for 2 people. There are 8⋅7⋅6 /2⋅3 ways to vote for 3 people. There are 8⋅7⋅6⋅5/ 2⋅3⋅4 ways to vote for 4 people. This is all because you can choose people but there are ways you can order the people.  

Does this help

Answer:

24x^4- 12x^2  or 12x^2 (2x^2-1)

Step-by-step explanation:

We are given the length and width of the rectangle:

Length=l=4x^2

and

Width=w=6x^2-3

The formula for the area of rectangle is:

Area=length*width

Area=l*w

Putting the values of l and w into the formula:

area=(4x^2 )(6x^2-3)

=24x^(2+2)-12x^2

=24x^4- 12x^2

It can also be written as: taking 12x^2 as common:

=12x^2 (2x^2-1)

Answer:

49.

Step-by-step explanation:

Answer:

12:07 pm

Step-by-step explanation:

The question is on relative speed

Calculate the distance covered by truck after 3hours and 10 minutes

Given; speed of truck= 40mph

Time the truck took to travel before the car started to drive from point A= 3h 10 minutes

Change hours to minutes= (60×3) + 10 = 190 minutes

Formulae for speed, S=d/t where S is speed of truck, d is distance covered and t is time

if S=d/t then distance d=S×t

d= 40×190/60 =380/3 =126.67 miles

Finding the time the car catch up with the truck

t=d/S where d=126.67 miles and speed of car = 60mph

t= 126.67/60 = 2.11 hours

Change hours to minutes

1 hr=60minutes

2.11 hrs= 2.11×60=126.67 minutes⇒2hrs and 6.67 minutes

t⇒2 hrs 7minutes

Add to the departure  time

10.00 + 2: 07 = 12:07 pm

Meagan pay 4.60

Step-by-step explanation:

1kg------5.80

700g----X

700x5.80=4.60/1=4.60

Final answer:

To find the cost of 700 grams of grapes, divide the cost of 1 kilogram by 1000 to get the price per gram, then multiply by 700. Meagan pays $4.06 for 700 grams of grapes.

Explanation:

To calculate how much Meagan pays for 700 grams of grapes when 1 kilogram (1000 grams) of grapes costs $5.80, we first find out the cost per gram. Then we multiply the cost per gram by the amount of grams Meagan is buying.

The cost per gram is: $5.80 / 1000 grams = $0.0058 per gram.

So for 700 grams, Meagan pays: $0.0058 per gram × 700 grams = $4.06.

Therefore, the cost of 700 grams of grapes is $4.06.

Answer:

Step-by-step explanation:

Lateral Area:

We have four congruent triangles with base b = 16cm and height h = 12cm.

The formula of an area of a traingle:

[tex]A_\triangle=\dfrac{bh}{2}[/tex]

Substitute:

[tex]A_\triangle=\dfrac{(16)(12)}{2}=(8)(12)=96\ cm^2[/tex]

[tex]L.A.=4A_\triangle=4(96)=384\ cm^2[/tex]

Surface Area:

[tex]S.A.=B+L.A.[/tex]

In the base we have the square with side s = 16cm. The formula of an area of a square:

[tex]A_\square=s^2[/tex]

Substitute:

[tex]B=16^2=256\ cm^2[/tex]

[tex]S.A.=256\ cm^2+384\ cm^2=640\ cm^2[/tex]

[tex]\bf \begin{array}{ccll} donuts&minutes\\ \cline{1-2} 30&60\\ 90&x \end{array}\implies \cfrac{30}{90}=\cfrac{60}{x}\implies \cfrac{1}{3}=\cfrac{60}{x}\implies x=180[/tex]

Answer: 180 minutes

Step-by-step explanation:

Cross multiply

90*60 = 5400

5400/30 = 180

Answer: 14/4

Step-by-step explanation:

since 4/4 is one three would be 12/4. Adding 2/4 to 12/4 is 14/4. So the answer is 14/4

3 2/4 as a mixed number is 14/4

3 multiplied by 4 is 12 and you just add 2 to that and it'll be 14/4

z=4. If z varies inversely as w, and z=5 when w=8, then when w=10 the value of z is 4.

This exercise is an example of  reverse proportionality, Two magnitudes a and b are inversely proportional when there is a constant k such that

a⋅b=k, where constant k is called the proportionality constant.

Then if z varies inversely as w, and z=5 when w=8

z.w=k -------> 5.8=k -------> k=40

So, let's find z when w = 10. With k = 40

z.w=K, clear z from the equation

z=k/w -------> z=40/10 -----> z=4

Final answer:

To find z when w = 10 in an inverse variation equation, we can use the equation z = k/w. By substituting the given values and solving for the constant of variation, we find that when w = 10, z = 4.

Explanation:

To find the value of z when w is 10, we need to use the inverse variation equation. Inverse variation is represented by the equation z = k/w, where k is the constant of variation.

Given that z = 5 when w = 8, we can substitute these values into the equation to find k. 5 = k/8. Solving for k, we get k = 40.

Now, we can substitute the value of k and w = 10 into the equation z = k/w. z = 40/10 = 4. Therefore, when w = 10, z = 4.

Answer:

-2x^2 + 21x + 41  with a remainder of 108  (Answer A)

Step-by-step explanation:

Let's perform the indicated synthetic division:

3  )   -2   15   -22   -15

                6    63   123

   -----------------------------

        -2    21    41     108

We take the first three coefficients of these results and use them to write a polynomial which represents the quotient:

-2x^2 + 21x + 41  with a remainder of 108  (Answer A)

ANSWER

D. [tex]q(x) = - 2 {x}^{2} + 9x +5[/tex]

EXPLANATION

We perform the synthetic division to get:

-2 15 -22 -15

3| -6 27 15

-2 9 5 0

From the synthetic division problem;

The coefficient of the quotient are the first three numbers.

-2, 9, 5

The last number 0 is the remainder

Since the coefficient of the quotient are three, it means the polynomial having 2 as the highest degree.

Therefore the quotient is:

[tex]q(x) = - 2 {x}^{2} + 9x +5[/tex]

Answer:

A = 15π in²

Step-by-step explanation:

If two of the central angles are 80° and 130°, totalling 210°, then the third central angle must be (360° - 210°), or 150°.

Let's calculate the area of the entire pizza, whose diameter is 12 in and whose radius is therefore 6 in:

A = πr²  →  A = π(6 in)²  =  36π in².

The area of the largest slice, the one with central angle 150°, is

(150/360) times the total area of the pizza:

A = (150/360)(36π) in², or 15π in²

Answer: I believe the correct answer is A. Because 2/3 is negative so it belongs on the negative side of the number line. And 5/3 is positive so it belongs on the positive of the number line.

* Hopefully this helps:) Mark me the brainliest:)

∞ 234483279c20∞

Answer:

(-4, -12) (1, -2) (2, -18)

Step-by-step explanation:

We have a grade 3 polymial function.

We know that the function has a minimum at the point

(-3, -18).

If this is the minimum of the function then this means that when  [tex]x <-3[/tex]  the function is decreasing and when  [tex]x> -3[/tex]  the function is growing.

Look in the table for ordered pairs with values of x less than -3.

The only point is (-4, -12).

Then the function has a maximum in  ([tex]\frac{1}{3}[/tex], [tex]\frac{14}{27}[/tex])

This means that when  [tex]x> \frac{1}{3}[/tex]  the function is decreasing and when  [tex]x< \frac{1}{3}[/tex]  the function is growing.

Search the table for ordered pairs with values of x greater than [tex]\frac{1}{3}[/tex]

We have

(1, -2) (2, -18)

Finally the ordered pairs in which the function decreases are:

(-4, -12) (1, -2) (2, -18)

Observe the attached image.

It is:

Any number that is less than 3.5 is a solution

There are infinite number of solutions.

The  graph with a white colored dot

I hope I get brainly on both questions :)

Answer:

c.

Step-by-step explanation:

The answer to your question is C

Answer:

see explanation

Step-by-step explanation:

The perimeter of a rectangle = 2l + 2w ( l is length and w is width )

given w = 63, then

2l + (2 × 63) = 324

2l + 126 = 324 ( subtract 126 from both sides )

2l = 198 ( divide both sides by 2 )

l = 99 m ← length of garden

-----------------------------------------------------------------

The area of a rectangle = lw ( l is length and w is width )

given l = 94, then

94w = 5828 ( divide both sides by 94 )

w = 62 cm ← width of window

Answer:

A) C = 29*d + 0.15*m

B) C = $88.75

Step-by-step explanation:

Givens

Let the cost of the rental = C

Let the most of the daily rental = d

Let the cost of the mileage driven = m

Equation

Cost = 29*d + 0.15*m

C = 29*d + 0.15m

Part B

d = 2

m = 205

C = ?

C = 29*2 + 205*0.15

C = 58 + 30.75

C = $88.75

The answer would be 186.2.

Answer:

The correct answer is  133% of 140  = 186.2

Step-by-step explanation:

Points to remember

X % of Y is given by

(X/100)*Y

To find 133 % of 140

We have to find 133 % of 140,

According to the formula we can write,

133% of 140 = (133/100) * 140

 = 1.33 * 140

 = 186.2

133% of 140 = 186.2

Therefore the correct answer is  133% of 140  = 186.2

Answer:

5

Step-by-step explanation:

Put the numbers in order then find the middle number. 334677

Here there are two middle numbers, 4, and 6. Add 4 and 6 together, 10 then divide by 2, 5. So the median is 5! Hope this was helpful have a Great day!!!

[tex]\(i^{223}\)[/tex] is equal to -i.

To find the value of [tex]\(i^{223}\)[/tex], we can use the cycle of powers of i:

[tex]\(i^1 = i\), \(i^2 = -1\), \(i^3 = -i\)[/tex], and [tex]\(i^4 = 1\)[/tex]

The powers of i repeat every four steps.

Therefore, we can express [tex]\(i^{223}\)[/tex] in terms of [tex]\(i^4\)[/tex]:

[tex]\[i^{223} = (i^4)^{55} \cdot i^3\][/tex]

Since [tex]\(i^4 = 1\)[/tex] and [tex]\(i^3 = -i\)[/tex], we have:

[tex]\[i^{223} = 1^{55} \cdot (-i) = -i\][/tex]

Step-by-step explanation:

[tex]\dfrac{6}{8}=\dfrac{6:2}{8:2}=\dfrac{3}{4}\\\\\dfrac{6}{8}=\dfrac{6\cdot2}{8\cdot2}=\dfrac{12}{16}\\\\\dfrac{6}{8}=\dfrac{6\cdot3}{8\cdot3}=\dfrac{18}{24}\\\\\dfrac{6}{8}=\dfrac{6\cdot4}{8\cdot4}=\dfrac{24}{32}\\\\\dfrac{6}{8}=\dfrac{6\cdot5}{8\cdot5}=\dfrac{30}{40}\\\vdots[/tex]

Answer:

B. 25

Step-by-step explanation:

10+6=16

if it is proportional, then it would be 25 to get 15.

Answer:

25

Step-by-step explanation:

y = kx

10 = 6k

5

3

= k

y =

5

3

(15)

y = 25

Simply divide 1.75 by 5 to find that 0.35 mL of water will be in each beaker.