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mamaluj [8]
3 years ago
15

Answer BOTH questions and show your work (either type out your steps, use the writing tool or upload a picture of your work):

Mathematics
1 answer:
Lisa [10]3 years ago
3 0

Answer:

Step-by-step explanation:

A) 32 =4(x+2)

32 =4x + 8

24 = 4x

6 = x

B)  4(x-2) < 6x -18

4x-8 < 6x -18

so the area below the 6x-18 line on a graph.  :?

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A business bought 500 lamps for $10,000. They want to mark them up 25%. What is the retail price of each lamp?
zavuch27 [327]

Answer:

$25 a lamp

Step-by-step explanation:

First divide $10,000  by 500 lamps to find how much one of them cost

That is $20 a lamp so then multiply .25 *20 or 1/4 *20

you get 5 than add 20 +5=25

8 0
3 years ago
Does the point (4, 0) satisfy the equation y = –5x + 4?
Arlecino [84]

Answer:

no

Step-by-step explanation:

y = –5x + 4

Substitute the point into the equation

0 = -5(4) +4

0 = -20+4

0 = -16

This is not true so it is not a solution to the equation

4 0
3 years ago
Read 2 more answers
A company is creating a box without a top from a piece of cardboard, but cutting out square corners with side length x.
Volgvan
Answer: Choice B) The expression (10-2x)(30-2x)x represents the volume of the box

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

The original width is 10 inches. The width reduces to 10-2x inches after we cut off the top two corners of the rectangle. We can think of it as taking 10 and subtracting off two copies of x like so: 10-x-x = 10-2x

Similarly, the length goes from 30 inches to 30-2x inches. This time we're taking off the top and bottom corners (focus on either side it doesn't matter). 

The height of the box is x inches due to this portion being folded up. 

Volume of box = (width)*(length)*(height)
Volume of box = (10-2x)(30-2x)x

Note: the units for the answer are in cubic inches which can be written as "in^3" (inches cubed). 

6 0
3 years ago
Read 2 more answers
How would I get 517527*6617 by dividing 57765566 and 62762526272​la la la la la la la
ankoles [38]

Answer:

I'm not able to answer your question

Step-by-step explanation:

due to the fact that you can't divide with multiplication I'm unsure on how to help you

4 0
3 years ago
The shorter leg of a right triangle is 5 inches shorter than the longer leg. The hypotenuse is 5 inches longer than the longer l
Licemer1 [7]

Answer:

longer leg: 20 in

shorter leg: 15 in

hypotenuse: 25 in

Formulas:

<u>Pythagorean Theorem</u>

c^2 = a^2 + b^2

c ... hypotenuse

a ... one leg

b ... another leg

Pythagorean theorem is used in right triangles (triangles in which one angle is 90°).

Step-by-step explanation:

longer leg: x

shorter leg: x - 5

hypotenuse: x + 5

To find x (longer leg), let's use Pythagorean theorem.

c^2 = a^2 + b^2\\(x+5)^2 = x^2 + (x-5)^2\\x^2 + 10x + 25= x^2 + x^2 -10x + 25\\x^2 + 10x = 2x^2 - 10x\\0 = x^2 - 20x

Now let's factorize to get solutions for x.

0 = x(x-20)

First solution:

x = 0

Second solution:

x - 20 = 0\\x = 20

Since a side of a triangle has to be a positive number, x is equal to 20.

Now let's just substitute x back to get side lengths. From the question the lengths are in inches.

longer leg: x = 20 in

shorter leg: x - 5 = 20 - 5 = 15 in

hypotenuse: x + 5 = 20 + 5 = 25 in

6 0
2 years ago
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