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Lena [83]
3 years ago
8

You have a shelf that holds 25 1/2 pounds. How many 1 1/4 pound books can the shelf hold? Explain your response

Mathematics
1 answer:
-Dominant- [34]3 years ago
3 0

25.5 \div 1.25 =
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The perimeter of the patio is 64 feet. The width of the patio is (x+2) feet and the length of the patio is (x+6) feet. What are
ValentinkaMS [17]

The formula for the perimeter is P = 2<em>w</em> + 2<em>l</em>, where <em>w</em> is the width and <em>l</em> is the length. It is given that the width = (x+2) and the length = (x+6). Therefore, we can make this equation:

P = 2<em>w</em> + 2<em>l</em>

64 = 2(x+2) + 2(x+6) ⇒ Distributive property

⇒ 64 = 2x + 4 + 2x + 12 ⇒ Combine like terms

⇒ 64 = 4x + 16 ⇒ Subtract 16 from both sides

⇒ 48 = 4x ⇒ Divide both sides by 4

⇒ x = 12

Then, we use x = 12 and substitute it in to find the length and width

<em>Width</em> = (x+2) = (12+2) = 14

<em>Length</em> = (x+6) = (12+6) = 18

The dimensions of the patio is <u>14 by 18</u>

5 0
3 years ago
Lisa and Daisy work at a hair salon. The salon charges $18 for a hair styling session with Lisa and $12 for a session with Daisy
Kitty [74]
Our equation is:
18x + 12y = 216

if Daisy calls in sick that day that means that that day she attained y=0 customers. now we need to solve for x.

18x = 216
x = 12

Answer is 12.
3 0
3 years ago
Which number is the<br> same distance away from -12 as 2?
Ray Of Light [21]

Answer:

-26

Step-by-step explanation:

2 is 14 away from -12. The other number that is 14 away from -12 is -26.

-12 + x = 2

x  = 14

-12 - 14 = -26

4 0
2 years ago
The amount of caffeine consumed from a glass of Diet Pepsi is proportional to the number of ounces that was drank. The table bel
Vilka [71]

Answer:

Constant of proportionality: k=3

Equation: c=3d

Step-by-step explanation:

By definition, Direct proportion equations have the following form:

y=kx

Where "k" is the Constant of proportionality.

In this case, let be "c"  the the amount of caffeine consumed  (in mg) from a glass of Diet Pepsi and "d" the number of ounces that was drank.

So, the equation that represents this relationship will have this form:

c=kd

Then, the first step is to find the Constant of proportionality "k".

Knowing that:

c=24;d=8

We can substitute values into the equation:

24=k(8)

Now, solving for "k", we get:

\frac{24}{8}=k\\\\k=3

Therefore, we can write the following equation that represents that proportional relationship:

c=3d

6 0
3 years ago
2. f(x) = 3(x - 2)2 + 6<br>a. Standard Form:​
Alexandra [31]

Answer:

{3x}^{2}   - 4x + 10 = 0

Step-by-step explanation:

3(x - 2) {}^{2}  + 6 \\  3 \times x {}^{2}  - 4x +  {2}^{2}  + 6 \\ 3x {}^{2} - 4x + 4 + 6 \\  {3x}^{2}   - 4x + 10 = 0

6 0
3 years ago
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