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3 years ago

What's the equation for twice the difference of a number and 6 is equal to three times the sum of the number and 3

1 answer:

8 0

2(x-6)=3(x+3)

Let's solve your equation step-by-step.

2(x−6)=3(x+3)

Step 1: Simplify both sides of the equation.

2(x−6)=3(x+3)

Simplify: (Show steps)

2x−12=3x+9

Step 2: Subtract 3x from both sides.

2x−12−3x=3x+9−3x

−x−12=9

Step 3: Add 12 to both sides.

−x−12+12=9+12

−x=21

Step 4: Divide both sides by -1.

−x/−1=21/−1

x=−21

Answer:

x=−21

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Vikentia [17]

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4 0

3 years ago

What shape is this I need help

professor190 [17]

Answer:

Pyramid/Triangle Prism

Step-by-step explanation:

pyr·a·mid

/ˈpirəˌmid/

Learn to pronounce

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noun

a monumental structure with a square or triangular base and sloping sides that meet in a point at the top, especially one built of stone as a royal tomb in ancient Egypt.

an object, shape, or arrangement in the form of a pyramid.

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5 0

2 years ago

The town librarian bought a combination of new-release movies on DVD for $20 and classic movies on DVD for $8. Let x represent t

Galina-37 [17]

Answer:

x = 1, y = 60

Step-by-step explanation:

Value of new-releases (x) = $20 each

Value of classic (y) = $8 each

Total budget = $500

Equation : 20x + 8y = 500

The librarian wants to purchase maximum DVDs. She can get more DVDs of classic movies for $8 as they are less costly.

Lets assume the librarian buys at least one new-release DVD.

x=1

20x + 8y = 500

8y + 20(1) = 500

y = 60

Therefore, in a budget of $500, the librarian can purchase 60 classic movies and 1 new-release.

8 0

3 years ago

Only 18 people are allowed on a ride at the same time. There are 157 people waiting in line. How many groups of riders will ther

IrinaK [193]

Answer:

Step-by-step explanation:

Divide 157 by 8 to see how many groups there are.

157/18=8r13. So you can round up to 9 groups of riders as there is a max of 18 at a time.

7 0

3 years ago

What is the equation for the translation of x2 + y2 = 16 seven units to the right and five units up?

asambeis [7]

Answer:

(x − 7)2 + (y − 5)2 = 16

Step-by-step explanation:

The given circle has equation

$\sf \: x^2+y^2=16x$

The equation of a circle with center (h,k) and radius r units is

$\sf(x-h)^2+(y-k)^2=r^2(x−h)$

$\sf(x-7)^2+(y-5)^2=4^2(x−7)$

$\sf(x-7)^2+(y-5)^2=16(x−7)$

This is the equation that has its center at the origin with radius 4 units.

When this circle is translated seven units to the right and five units up, then the center of the circle will now be at (7,5).

6 0

2 years ago