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vova2212 [387]
3 years ago
14

pint sized portraits has 5 different backgrounds and 3 poses in which to photograph children. how many different pictures are th

ere too choose from?
Mathematics
1 answer:
vitfil [10]3 years ago
3 0
Athere are 15. A way to look at it is that for every photo there is 3 poses. So 3+3+3+3+3. That is 15 and the correct answer.
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Cynthia Besch wants to buy a rug for a room that is 24 ft wide and 33 ft long. She
qaws [65]
<h3>Answer:   16 ft by 25 ft</h3>

=========================================================

Explanation:

Refer to the diagram below.

The outer dimensions 24 ft and 33 ft shrink down to 24-2x ft and 33-2x ft respectively. This subtraction of 2x is due to subtracting two copies of x per side.

The carpet has area of (24-2x)(33-2x)

Cynthia can afford to buy 400 sq ft of carpet

So we set 400 equal to that previous expression and solve for x

(24-2x)(33-2x) = 400

24(33-2x) - 2x(33-2x) = 400

792-48x - 66x + 4x^2 = 400

4x^2 - 114x + 792 = 400

4x^2 - 114x + 792-400 = 0

4x^2 - 114x + 392 = 0

From here, use the quadratic formula to isolate x.

Plug in a = 4, b = -114, c = 392

x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(-114)\pm\sqrt{(-114)^2-4(4)(392)}}{2(4)}\\\\x = \frac{114\pm\sqrt{6724}}{8}\\\\x = \frac{114\pm82}{8}\\\\x = \frac{114+82}{8} \ \text{ or } \ x = \frac{114-82}{8}\\\\x = \frac{196}{8} \ \text{ or } \ x = \frac{32}{8}\\\\x = 24.5 \ \text{ or } \ x = 4\\\\

The two possible solutions are x = 24.5 and x = 4

But if x = 24.5, then 24 - 2x = 24 - 2*24.5 = -25 which isn't possible. We cannot have a negative width or negative length for the carpet.

Luckily x = 4 does work since

24 - 2x = 24 - 2*4 = 16

33 - 2x = 33 - 2*4 = 25

Both results are positive.

Therefore, the carpet has dimensions of <u>16 ft by 25 ft</u>

Check: 16*25 = 400, so the answer is confirmed

5 0
1 year ago
Help me on 4. It is confusing and I can never get these type of answers right :(
chubhunter [2.5K]
I believe it's 3/10 but I'm not confident about that.
6 0
2 years ago
Ayuda :c aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
Elan Coil [88]

Answer:

1) 2x^4/343

2) 2x^6/225

3) 2x^12/25

4) 5x^20/16807

Step-by-step explanation:

Hope this helps!

3 0
2 years ago
Graph the lines by finding the points of intersection with the axes (intercepts): y=2.5x+5
Zolol [24]

The y intercept is 5, since slope is y=mx+b. The x intercept is at -2. If you have more problems like this there is an amazing calculator that graphs equations like this for you. www.symbolab.com. Hope this helps!


8 0
3 years ago
Simplify:<br>{15×115-(-3)}(4-4)÷3{5+(-3)×(-6)}​
Maurinko [17]
  • (15×115-(-3)}(4-4)÷3{5+(-3)×(-6)}
  • (1725+3)(0)÷3{5+18}
  • (1728)(0)÷3(23)
  • 0÷69
  • 0
5 0
2 years ago
Read 2 more answers
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