The sum of three prime numbers is 22. What is the largest possible product of these numbers?

Answer:

D 14

Step-by-step explanation:

Let x be the number

2(x-4) = 20

Divide each side by 2

2/2(x-4) = 20/2

x-4 = 10

Add 4 to each side

x-4+4 = 10+4

x = 14

Answer:

The number is 14

Step-by-step explanation:

Let's call this unknown number of x:

2×(x – 4) = 20

2x – 8 = 20

2x = 20 + 8

2x = 28

x = 28/2

x = 14

Answer:

Step-by-step explanation:

We'll work through this by setting up a table, as follows:

               original                 new

width

length

It tells us the width of a rectangle is 4 feet more than the length. If we don't know the length, we'll call it L; that means that the width is L + 4, because the width is the length plus 4 more feet. Put that into column 1:

                  original                 new

width            L + 4

length             L

The next sentence tells us how the original rectangle is being manipulated to create a new rectangle, so that information goes into the column named "new". The original length is doubled:

                   original                new

width             L + 4

length              L                        2L

and the original width is decreased by 2:

                     original                 new

width              L + 4                   L + 4 - 2 (which simplifies to L + 2)

length                L                         2L

The perimeter of the new rectangle is 68. The formula for the perimeter is

P = 2L + 2w, so filling in our info along with the given perimeter:

68 = 2(L + 2) + 2(2L) and

68 = 2L + 4 + 4L and

68 = 6L + 4 and

64 = 6L so

L = [tex]\frac{32}{3}[/tex] and the width then is

w = [tex]\frac{32}{3}+4[/tex] so

w = [tex]\frac{44}{3}[/tex]

5 + -6m + mX,

If you like, I can explain a bit more!

Hi there!  

»»————-　★　————-««

I believe your answer is:  

[tex]\boxed{m= \frac{y-5}{x-6}}; \text{ } x\neq 6[/tex]

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Solving for 'm'...}}\\\\y-5=m(x-6)\\------------\\\rightarrow m(x-6) = y-5\\\\\rightarrow \frac{m(x-6)=y-5}{(x-6)}; x\neq 6\\\\\rightarrow \boxed{m= \frac{y-5}{x-6}}; \text{ } x\neq 6[/tex]

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

Step-by-step explanation:

Subtract 4x from both sides

4x-4x + 2y = -4x - 12

2y = - 4x - 12            

Divide by 2

2y/2 = -4x/2 - 12/2

y = -2x - 6

The y intercept happens when x = 0

y intercept is - 6

or 0,-6

Answer:

y intercept = -6

x intercept = -3

Step-by-step explanation:

Answer:The right answer is B

Step-by-step explanation:

If it's negative then it should be on the other side with one side down on the graph and one side on the left.(hope this helped you) :)

Answer:

Answer is -6t

Step-by-step explanation:

[tex]{ \tt{ = (6 \cos(20\pi t) \cos(\pi) + 6\sin(20\pi t) \sin(\pi) ) + 6 \sqrt{3} ( \cos(20\pi t) \cos( \frac{\pi}{2} ) + \sin(20\pi t) \sin( \frac{\pi}{2} )) }} \\ = { \tt{ (- 6t + 0) + (0 + 0)}} \\ = { \tt{ - 6t}}[/tex]

Note that π is 180°

Answer:

-24

Step-by-step explanation:

m(4)=2*4^2-10*4-14=-22

m(-1)=2*(-1)^2-10(-1)-14=-2

m(4)+m(-1)=-24

Answer:

$31.5

Step-by-step explanation:

Intrest = P. A. * Intrest Rate * Time

Intrest = 600 * 5.25 /100 = 31.5

Answer: 2.31

Step-by-step explanation:

Answer:

<RQS=103 degrees

<SQT=77

Step-by-step explanation:

19x + 9 = 180  subtract 9 from both sides

19x = 171           divide both sides by 19

x = 9                  replace 9 for x in your original

11 x 9 + 4 = 103

8 x 9 + 5 = 77

Answer:

RQS=103°,SQT=77°

SEE THE IMAGE FOR SOLUTION

Answer:

9

Step-by-step explanation:

Plug in 2 for x

You should get f(2)=(2+1)^2

Add 2+1 inside the parenthesis to get 3

Finally do (3)^2 to get 9

Answer:

6

Step-by-step explanation:

f(x)=2x^3-5x when x=2. So f(2)=6

Answer:

C

because if you arrange orderly ie in an ascending order or a descending order,the middle number is the median and median means average

Answer:

C

Step-by-step explanation:

The answer is C cz it contains the letter a

Explanation:

Point F is located at (2,0)

Multiply each of those coordinates by the scale factor 2.5

This means point F(2,0) moves to F ' (5,0) after applying the dilation, where the dilation is centered at the origin.

Write the area A of an equilateral triangle as a function of the length s of its sides. Draw the triangle; label each side "2s". Draw the altitute; it will bisect the base into s and s. ... Therefore, the area is equal to the measure of the bisected side times the measure of the altitude, quantity divided by 2.

HOPE SO IT HELPS YOU

Answer:

Step-by-step explanation:

Part A

Each side including     the base is s.

Part B

Use 1/2 the base to find the height. The height meets the base at 90 degrees which gives you the right to use c^2 = b^2 + a^2

The hypotenuse is s

The base is 1/2s

h^2 = s^2 - (1/2s)^2

h^2 = s^2 - 1/4 s^2

h^2 = 3s^2/4

h = sqrt(3)/2 *s

Area = 1/2 * s * sqrt(3)/2 s

Area = 1/4 * s^2 * sqrt(3)

Answer:

B) Multiply by 3/2 on both sides of the equation by the multiplication property of equality

Answer:

88 ft^3

Step-by-step explanation:

First find the volume of the rectangular prism on the left

V = l*w*h = 2*(4)*8 = 2*4*8= 64 ft^3

Then find the volume of the rectangular prism on the bottom

The base is not 5 but 5-2 since we used 2 on the left side

V = l*w*h = (5-2) *4*2 = 3*4*2 = 24 ft^3

Add them together

64+24=88

Answer:

Step-by-step explanation:

tan30°=3/x

xtan30°=3

x=3/tan30°

x= 5.2

Answer:

i think thats right

Step-by-step explanation:

Answer:

[tex](x^{-3})^2[/tex]

Step-by-step explanation:

applying the exponent rule to the inside of the bracket, x^3 x x^-6 = x^-3 since you add the exponents

Answer: ten Twenty-one

Step-by-step explanation:

10/21

Answer:

see below

Step-by-step explanation:

It is given that m<A +m<B = m<B + m<C.  We can subtract angle B from each side using the subtraction property of equality.  That leaves m<A = m<C  We can use the symmetric property so that m<C = m<A

Answer:

[tex]thank \: you[/tex]

Answer:

V = 1000 cm³

Step-by-step explanation:

The volume (V) of the triangular prism is calculated as

V = Bh ( where B is the area of the triangular end and h is the height )

B = [tex]\frac{1}{2}[/tex] bh = [tex]\frac{1}{2}[/tex] × 10 × 8 = 5 × 8 = 40 cm² , then

V = 40 × 25 = 1000 cm³

Answer:

1/2

Step-by-step explanation:

2^ -1

We know that a^-b = 1/a^b

1 / 2^1

1/2