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Aloiza [94]
3 years ago
7

The owner of a garden center pays $12 for each birdbath. She sells them for 55% more than she paid. Decide whether each expressi

on represents the selling price for b birdbaths.
Mathematics
1 answer:
IRISSAK [1]3 years ago
3 0

For this case, the first thing we should do is define a variable.

We have then:

  • <em>b: number of birdbaths </em>

The cost of b birdbaths is given by:

12b

She sells them for 55% more than she paid. Therefore, the sale price is given by:

12b + 0.55 (12b)

Rewriting we have:

1.55 (12b)

Answer:

the selling price for b birdbaths is:

1.55 (12b)

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I got disconnected from my tutor, can't reconnect. need an explanation ​
kherson [118]

The absolute value function |<em>x</em>| always returns a non-negative number. It takes any number <em>x</em> and returns <em>x</em> if it's already non-negative, or -<em>x</em> if it is negative in order to make it positive.

|x|=\begin{cases}x&\text{for }x\ge0\\-x&\text{for }x

For the equation

-3 + 4 |2<em>x</em> - 5| = 14

rearrange terms to get

|2<em>x</em> - 5| = 17/4

Now,

• if 2<em>x</em> - 5 ≥ 0, then |2<em>x</em> - 5| = 2<em>x</em> - 5. Then

2<em>x</em> - 5 = 17/4

• and if instead 2<em>x</em> - 5 < 0, then |2<em>x</em> - 5| = -(2<em>x</em> - 5), so that

-(2<em>x</em> - 5) = 17/4, or

2<em>x</em> - 5 = -17/4

In the first case,

2<em>x</em> - 5 = 17/4

2<em>x</em> = 17/4 + 5 = 37/4

<em>x</em> = 37/8

In the second case,

2<em>x</em> - 5 = -17/4

2<em>x</em> = -17/4 + 5 = 3/4

<em>x</em> = 3/8

5 0
3 years ago
-24-(-6)+(-31)<br> step by step<br> be sure to simplify first
trasher [3.6K]

Answer:

-49

Step-by-step explanation:

rule of thumb: whenever you have two negatives, they equal a positive! when you have one negative and one positive, it is a negative!

  1. let's start by going from left to right :))
  2. -24 -(-6) + (-31)
  3. -(-6) is actually + 6!
  4. -24 + 6 + (-31)
  5. +(-31) would be -31 because one - and one + is a -
  6. -24 + 6 - 31
  7. -18 - 31
  8. -49

comment or message me if you are still confused or have a question!

8 0
3 years ago
Someone please help me with this math problem! :(
Assoli18 [71]
Area of a parallelogram=base x heigth
Data:
base=(2x+3)
heigth=(ax+5)
area of this parallelogram=8x²+bx+15

Therefore:
8x²+bx+15=(2x+3)(ax+5)
8x²+bx+15=2ax²+10x+3ax+15
8x²+bx+15=2ax²+(10+3a)x+15

Then:
8x²=2ax²
a=(8x²)/(2x²)=4

bx=(10+3(4))x
bx=(10+12)x
b=22x/x=22

Answer: a=4 and b=22.
5 0
3 years ago
Read 2 more answers
Choose the expression that is equivalent to 12p2-2/5(5p2-10)+3p
Margarita [4]

Answer:

10p^2+3p+4

Step-by-step explanation:

12p^2-\frac{2}{5} (5p^2-10)+3p\\12p^2-0.4 (5p^2-10)+3p\\12p^2-2p^2+4+3p\\10p^2+3p+44

8 0
3 years ago
25 Points!! What is the volume of the prism 1 1/2ft 3 1/2ft 2 1/2 ft? Please answer when you have the time to.
Vladimir79 [104]

Answer:

The first one: 13.125 ft³

The second one: 67.5 ft³

Step-by-step explanation:

For the first one:

The volume of a prism is length x width x height.

So, in this shape, the length is 3 1/2, the width is 2 1/2, and the height is 1 1/2.

However, you can conver 1/2 to .5, to make it easier to multiply.

So, 3.5 x 2.5 x 1.5 = 13.125

Make sure to add ft³, the ft is the unit, feet, and the ³ is used to denote volume, because volume is 3  dimensional.

For the second one, same formula:

Length = 6, width = 2 1/2, and height = 4 1/2

6 x 2.5 x 4.5 = 67.5

Again, make sure to add ft³, the ft is the unit, feet, and the ³ is used to denote volume, because volume is 3 dimensional.

6 0
3 years ago
Read 2 more answers
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