How can I find the prime factorization of a number with an easy explanation?

Answer:

C) 10 inches

Step-by-step explanation:

I think the simplest way to do this is as follows:

divide 75 by 15 to get how many times you need to multiply 2in by

75/15=5

since 15(5)=75 or the actual size of the airplane,

2(5)=10 which is the size of the model airplane

Answer:

z equals 13 yeeeeeeeeetttttttttttttt I hopppppeeeee thhhhhaaaaatttttt heeeeelllllllpppppppsssssss

Answer:

Expression 2b+b and 3b have same values for all values of b.

Step-by-step explanation:

Given the two expression 2b+b2b+b and 3b3b and values of b as 1, 2 and 3.

Consider first expression that is, 2b+b2b+b .

Substituting the value of b=1b=1 ,

2\left(1\right)+\left(1\right)=2+1=32(1)+(1)=2+1=3 ....1

Substituting the value of b=2b=2 ,

2\left(2\right)+\left(2\right)=4+2=62(2)+(2)=4+2=6 ....2

Substituting the value of b=3b=3 ,

2\left(3\right)+\left(3\right)=6+3=92(3)+(3)=6+3=9 ....3

Consider second expression that is, 3b3b .

Substituting the value of b=1b=1 ,

3\left(1\right)=33(1)=3 ....4

Substituting the value of b=2b=2 ,

3\left(2\right)=63(2)=6 ....5

Substituting the value of b=3b=3 ,

3\left(3\right)=93(3)=9 ....6

For value of b=1, equation 1 and equation 4 are same, for value of b=2, equation 2 and equation 5 are same and for value of b=3 equation 3 and equation 6 are same.

Therefore both expression are same for all values of b.

Step-by-step explanation:

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Answer:

[tex]\boxed {\boxed {\sf 22a-14b}}[/tex]

Step-by-step explanation:

We are given this expression:

[tex]17a-10b+5a-4b[/tex]

We are asked to simplify. For this expression, we will need to combine like terms. Like terms are terms with the same variable. In this expression, there are 2 variables: a and b. Use the commutative property of addition to move the like terms together.

[tex](17a+5a)+(-10b+ -4b)[/tex]

Add inside the parentheses.

[tex]22a+ (-10b+-4b)[/tex]

A positive next to a negative, like +- becomes a negative.

[tex]22a+ (-10b-4b)[/tex]

[tex]22a+ -14b \\22a-14b[/tex]

The expression 17a-10b+5a-4b is equal to 22a-14b.

Hope This Helps You!!!

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Answer:

Step-by-step explanation:

Distance from starting point = 8 + 12 = 20km

ok screw it i need to sneep i can't even do simple addition its too late

sorry

-cheesetoasty

Answer:

34

Step-by-step explanation:

just because its 34  add my

[tex]{ \large{ \sf{ \implies{(8 {}^{ \frac{2}{3} }) {}^{4} }}}}[/tex]

[tex]{ \large{ \sf{ \implies( \sqrt[3]{8} {}^{2} ) {}^{4} }}}[/tex]

[tex]{ \large{ \sf{ \implies{{(2 {}^{2} ) {}^{4} }}}}}[/tex]

[tex]{ \large{ \implies{ \sf{4 {}^{4} }}}}[/tex]

[tex]{ \large{ \therefore{ \sf{256} \: \: ans.}}}[/tex]

Answer:

1/9

Step-by-step explanation:

slope = rise/run

slope = (-3--4)/(7--2)=1/9

Answer:

I think D

Step-by-step explanation:

I am not sure sorry

Answer:

its C  (Species diversity)

Step-by-step explanation:

Answer:8

Step-by-step explanation:

There are 12 of the next 12 trains would expect to be full.

A mathematical assessment of two numbers is called a proportion. If two sets of provided numbers rise or fall in the same relation, then the ratios are said to be directly proportional to each other.

Based on the information provided, it seems that 12 out of the last 18 trains to pull into Castroville Station were full, which is a proportion of 12/18 or 2/3.

Therefore, if the same proportion of full trains holds in the future, one would expect 2/3 or 8 of the next 12 trains to be full.

This prediction is based on the assumption that the proportion of full trains remains constant.

Thus, there are 12 of the next 12 trains would expect to be full.

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Answer:497.76

Step-by-step explanation:

Answer:

b. x=3

Step-by-step explanation:

i hope this helps :)

Answer:

4x+20=6x+14

Step-by-step explanation:

20=2x+14

6=2x

3=x

Answer:

132 units squared

Step-by-step explanation:

To start we can find the area of the rectangle, to do that we need to do

12*6=72

then we can find the area of the triangle, the formula to find a triangle's area of (b*h)/2, so we can do that

(10*12)/2=60

then we can add them together

72+60=132

Answer: 90

Step-by-step explanation:

Triangle=60

square=36

Now add them!

60+36=96

Answer:

3

Step-by-step explanation:

A triangle has two sides of length 17 and 19. What is the smallest possible whole-number length for the third side?

To solve for the above question, a rule applies.

The rule states that:

The sum of any 2 sides must be greater than than the third side.

The possible values for the third side are

19 - 17 < x < 19 + 17( x is the third side )

2 < x < 36

Thus the smallest possible whole number is 3

Answer:x=8

Step-by-step explanation:

x²-3x=-3x+64

- Add 3x to both sides

x²-3x+3x=-3x+3x+64

= x²=64

- Square both sides

√x²=√64

x=±8

- Since the question is asking for the positive value of x, the answer is 8.

Answer:

Step-by-step explanation:

that options given seem wrong but what do i know thats just difficult dude im just in the 4th grade

Answer:

4th option

Step-by-step explanation:

let y = f(x) , then rearrange making x the subject, that is

y = 4x ( divide both sides by 4 )

[tex]\frac{1}{4}[/tex] y = x

Change y back into terms of x with x = [tex]f^{-1}[/tex] (x) , then

[tex]f^{-1}[/tex] (x) = h(x) = [tex]\frac{1}{4}[/tex] x

Arthur should leave a $28.26 tip

Answer:

100%

Step-by-step explanation:

Assuming Zoe throws a dart at a target 9 times. The relative frequency of Zoe hitting the bullseye is 100%.

Relative frequency=Number of times a dart is throwed/Number of times the bullseye is hits×100

Where:

Number of times a dart is throwed=9 times

Number of times the bullseye is hits=9 times

Let plug in the formula

Relative frequency=9/9×100

Relative frequency=100%

Inconclusion the relative frequency of Zoe hitting the bullseye is 100%.

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Answer:

So for 0

0*1/3 = 0

6*1/3= 2

12*1/3= 4

Step-by-step explanation:

An equation is formed of two equal expressions. The value of y when the value of x is 0, 6 and 12 is 0, 2, and 4, respectively.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Given the statement that "y is 1/3 times as large as x", therefore, the rule can be written as,

y=(1/3)x

Now, the value of y for different value of x can be written as,

1.) When x=0

    y = (1/3)x

    y = (1/3)(0)

    y = 0

2.) When x=6

     y = (1/3)x

     y = (1/3)(6)

     y = 2

3.) When x=12

    y = (1/3)x

    y = (1/3)(12)

    y = 4

Hence, the value of y when the value of x is 0, 6 and 12 is 0, 2, and 4, respectively.

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Answer:

B

Step-by-step explanation:

12x + 300 = 450

hope this helps

Answer:

11 and 3

Step-by-step explanation:

11x2 = 22

3x2 = 6

6+22=28

Answer: 14 red, 7 green, 44 blue

Step-by-step explanation:

First, use the letter r as a variable to represent the number of red Legos. The number of green Legos (g) is 7 less than the number of red Legos, or g = r-7. The number of blue Legos (b) is 2 more than 3 times the number of red Legos, or b = 3r+2. The total number of Legos is the number of red + green + blue Legos, which can be represented as 65 = r+g+b.

Substitute the equations for g and b in. This should give you a final equation of 65 = r+(r-7)+(3r+2). To solve for the number of red Legos, first add up all of the terms to get 65 = 5r-5. Now add 5 to each side (70 = 5r). Finally, divide each side by 5 (r = 14).

To find the number of green Legos, substitute the number of red Legos (14) into the equation for the green Legos (g = r-7). This should get you the equation g = 14-7 which simplifies to g = 7.

To find the number of blue Legos, substitute the number of red Legos (14) into the equation for the blue Legos (b = 3r+2). This gives you the equation b = (3*14)+2. First, multiply 3 and 14 to get b = 42+2. Finally, add them together to get b = 44.

Answer:

Below in bold.

Step-by-step explanation:

i, This is a rectangular hyperbola with symmetry about the line y = -x

   If it touches the graph at one point only then

y = 25/x

y = mx + b so

25/x = mx + b

mx^2 + bx + 25 = 0

Using the quadratic formula:

x = (-b + sqrt(b^2 - 25*4*m)) / 2m

Now there's only one value of x so

b^2 - 25*4*m = 0

b^2 = 100m

m = b^2/100.

m = +/-b/10.

ii  In this case b^2 > 100m

If m = |-5|

b^2 > 500

b > +/-√500

So b > √500 or b < -√500.

Answer:

25

Step-by-step explanation:

3a=30... equation 1

2a+2b=30... equation2

equation 2 => a+b=15 ... equation 3

equation 1 => a = 10 ... equation 4

equation 4 & equation 3 => b = 5

5^2 = 25

Answer:

20 cm

Step-by-step explanation:

triangle

30/3=10=a

rectangle

30-20=10/2=5=b

square

4 times 5=20

Answer:

Step-by-step explanation:

Did you try adding it all up and combine the like terms to get your answer