What is the greatest common factor of 3x^4, 15x^3", and 21x^2??

Answer:

D. 275

Step-by-step explanation:

400/2... So just do 550/2 and you will get your answer

Answer:

-4r + 9

Step-by-step explanation:

Join the r terms, you get -4r, join the numbers, you get 9.

Hope it helps!

Answer:

change/original price X 100

22/88 X 100 = 25%

Answer:

C

Step-by-step explanation:

The x coordinate of the rest stop:

1/2 × (the sum of the x coordinates of the highschool and the stadium)

= 1/2 × (3+7)

= 1/2 × 10

= 5

The y coordinate of the rest stop:

- Same thing i did for the x coordinate, but use the y coordinates.

1/2 × (the sum of the y coordinates of the highschool and the stadium)

= 1/2 × (4 + 1)

= 1/2 × 5

=5/2

So the coordinate of the rest stop would be (5, 5/2).

Next for the distance, i used the pythagoras theory so it's like this:

a^2 + b^2 = c^2

Here you plot the highschool and the stadium on the coodinate plane, then connect the two dots to make a right triangle. The height of the triangle will be 3, and the base would be 4. So a=3, b=4 in the equation.

3^2 + 4^2 = c^2

9 + 16 + c^2

25 + c^2

c = 5

(Note that this isn't the real answer cuz at the end of the question it said that one UNIT equals 6.4 MILES.)

So the final answer is 5 × 6.4, which is 32. The answer is C.

Answer:

The number of cheery pieces in the box are [tex]18[/tex].

Step-by-step explanation:

Let the number of orange pieces in the box be [tex]x[/tex].

The box contains three times as many cherry pieces as orange pieces.

So, the number of cherry pieces in the box be [tex]3x[/tex].

It has four more grape pieces than cherry pieces.

So, the number of grape pieces in the box be [tex]3x+4[/tex].

There are [tex]46[/tex] total pieces in the box.

So, [tex]x+3x+3x+4=46[/tex]

[tex]\Rightarrow 7x+4=46[/tex]

[tex]\Rightarrow 7x=46-4[/tex]

[tex]\Rightarrow 7x=42[/tex]

[tex]\Rightarrow x=\frac{42}{7}[/tex]

[tex]\Rightarrow x=6[/tex]

So, the number of cherry pieces [tex]=3x=3\times 6=18[/tex].

Hence, the number of cheery pieces in the box are [tex]18[/tex].

Answer:

Hi! The correct answer is y = 5

Step-by-step explanation:

~Solve for the first variable in one of the equations, then substitute the result into the other equation~

The answer i got is -1.55, im not sure though

The value of the given algebric expression is x - y when x=−5 1/4 and y=−6.8 will be 2.05.

A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.

An expression is a mathematical proof of the equality of two mathematical expressions.

As per the given expression, x - y

x = - 5 1/4 = (-5 x 4 + 1)/4 = -19/4 = -4.75

y = -6.8

Substitute x and y into the above expression,

-4.75 - (-6.8) = 2.05

Hence "The value of the given algebric expression is x - y when x=−5 1/4 and y=−6.8 will be 2.05".

To learn more about expression,

https://brainly.com/question/14083225

#SPJ2

Answer:

[tex]\frac{dy}{dx}[/tex] = 8(2x + 3)³

Step-by-step explanation:

Differentiate using the chain rule

Given

y = f(g(x)) , then

[tex]\frac{dy}{dx}[/tex] = f'(g(x)) × g'(x)

Here

f(x) = [tex](2x+3)^{4}[/tex] ⇒ f'(x) = 4(2x + 3)³

g(x) = 2x + 3 ⇒ g'(x) = 2

Thus

[tex]\frac{dy}{dx}[/tex] = 4(2x + 3)³ × 2

    = 8(2x + 3)³

Answer:

40

Step-by-step explanation:

8 = x/5

x = 8*5

x = 40

Answer: a. Lin's tank hold 20 cups and Elena's tank hold 20 gallons; I know this because gallons are greater than cups.

Step-by-step explanation:

Gallons are greater than cups so the fish tank that will hold 20 gallons would have to be the bigger one which in this case is Elena's.

With cups being lesser in quantity than gallons, the fish tank that will hold 20 cups of water will definitely have to be the smaller one which in the case is Lina's.

Answer:

-7/3

General Formulas and Concepts:

Algebra I

Slope-Intercept Form: y = mx + b

Step-by-step explanation:

Step 1: Define

y = -7/3x + 5

Step 2: Break Function

Identify Parts

Slope m = -7/3

y-intercept b = 5

Answer:

thx for the free points

Step-by-step explanation:

Answer:

Ounces of green paint needed = 13.8

Step-by-step explanation:

Blue paint : green paint = 25 : 115

how many ounces of green paint should she mix with 3 ounces of blue paint?

Let

Ounces of green paint needed = x

Blue paint : green paint = 3 : x

Equate both ratios

25 : 115 = 3 : x

25/115 = 3/x

25 * x = 115 * 3

25x = 345

x = 345/25

x = 13.8 ounces

Ounces of green paint needed = 13.8

Answer:

The regular costs 11 dollars each while the deluxe cost 23 each.

Step-by-step explanation:

You need to setup two equations.I used two variable for the prices of the types of pizzas because they are unknown.I used x for the cost of regular and y for the cost of deluxe.The equation I did are 10x+y=133 and 7x+9y=284.You need to solve one equation only.I solved the first one.

Answer:

n can be a number less than 3

Step-by-step explanation:

Hope this helps!

Answer:

N<3

Step-by-step explanation:

Answer:

When f(n) = 12, what is the value of n? Answer: n=5

Step-by-step explanation:

Given:

The two endpoints are (4,5) and (4,-3).

To find:

The line segment between the given endpoints and the length of the line segment.

Solution:

Plot the given point and connect them by and straight line segment as shown in the below graph.

The distance between (4,5) and (4,-3) is

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

[tex]d=\sqrt{(4-4)^2+(-3-5)^2}[/tex]

[tex]d=\sqrt{(0)^2+(-8)^2}[/tex]

[tex]d=\sqrt{0+64}[/tex]

[tex]d=\sqrt{64}[/tex]

[tex]d=8[/tex]

Therefore, the length of the line segment is 8 units.

Answer:

B

Step-by-step explanation:

i did the same test

Answer:

The length of the shorter part of the wire is 24 centimeters.

Step-by-step explanation:

Let [tex]L[/tex] the total length of the piece of wire, where [tex]L-x[/tex] and [tex]x[/tex] are the perimeters of the greater and lesser squares. All lengths are measured in centimeters. Since squares have four sides of equal length, the side lengths for the greater and lesser squares are [tex]\frac{L-x}{4}[/tex] and [tex]\frac{x}{4}[/tex]. From statement we find that the sum of the areas of the two squares ([tex]A[/tex]), measured in square centimeters, is represented by the following expression:

[tex]A = \left(\frac{L-x}{4} \right)^{2}+\left(\frac{x}{4} \right)^{2}[/tex] (1)

And we expand this polynomial below:

[tex]A = \frac{L^{2}-2\cdot L\cdot x +x^{2}}{16} + \frac{x^{2}}{16}[/tex]

[tex]A = \frac{L^{2}-2\cdot L\cdot x +2\cdot x^{2}}{16}[/tex]

[tex]2\cdot x^{2}-2\cdot L\cdot x +L^{2}-16\cdot A = 0[/tex] (2)

If we know that [tex]L = 76\,cm[/tex] and [tex]A = 205\,cm^{2 }[/tex], then the length of the shorter part of the wire is:

[tex]2\cdot x^{2}-152\cdot x +2496 = 0[/tex]

By the Quadratic Formula, we determine the roots associated with the polynomial:

[tex]x_{1} = 52\,cm[/tex], [tex]x_{2} = 24\,cm[/tex]

The length of the shorter part of the wire corresponds to the second root. Hence, the length of the shorter part of the wire is 24 centimeters.

Answer:

50,373 feet

Step-by-step explanation:

tan 15° = 13500 / x

.268 = 13500 / x

x = 50,373

Answer:

...

Step-by-step explanation:

Answer:

125 is 1 1/4

so it would b before 1 1/2

and is im right it would b

1.26

125%

1 1/2

Step-by-step explanation:

Answer: x=9 1/3

Step-by-step explanation:

-5=-3x-33

-5+33=-3x

28=-3x

3x=-28

x=28/3

x=9 1/3

Answer: X=-28/3

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

−5=−3(x+11)

−5=(−3)(x)+(−3)(11)(Distribute)

−5=−3x+−33

−5=−3x−33

Step 2: Flip the equation.

−3x−33=−5

Step 3: Add 33 to both sides.

−3x−33+33=−5+33

−3x=28

Step 4: Divide both sides by -3.

-3x/-3= 28/-3

X=-28/3

have a nice day :)

Answer:

There are 72 crayons in the box

Step-by-step explanation:

Fractions

To solve this problem we'll manage numbers as fractions to keep the precision up to the end of it.

Lynn has a box of crayons. It's given 4/9 of the crayons are blue. The remaining crayons are:

[tex]1-\frac{4}{9}=\frac{5}{9}[/tex]

From that portion, 65% are red, or equivalently, 35% are yellow.

We write 35% as a fraction:

[tex]\displaystyle 35\%=\frac{35}{100}=\frac{7}{20}[/tex]

Thus, the portion of yellow crayons is:

[tex]\displaystyle \frac{7}{20}\cdot \frac{5}{9}=\frac{7}{36}[/tex]

This fraction of x crayons is equal to 14, thus:

[tex]\displaystyle x=\frac{14}{\frac{7}{36}}=14\cdot\frac{36}{7}[/tex]

x = 72

There are 72 crayons in the box

Answer:

Its XYW is half of LXYZ

Step-by-step explanation:

.

Answer:

this is the required solution

Answer:

The answer is B

Step-by-step explanation:

All other fractions when simplified are equal to 2/5