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sesenic [268]
3 years ago
10

Two equations are given below:

Mathematics
1 answer:
lidiya [134]3 years ago
4 0

Answer:

(-11,-9)

Step-by-step explanation:

b-2-3b=16

-2b-2=16

-2b=18

b= -9

a= -9-2

a=-11

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A bookstore manager marks down the price of older hardcover books, which originally sell for b dollars, by 52%.
mafiozo [28]

Complete question :

A bookstore manager marks down the price of older hardcover books, which originally sell for b dollars, by 52%.

a. Write the markdown as a decimal. b. Write an expression for the sale price of the hardcover book.

Answer:

0.52 ; 0.52b

Step-by-step explanation:

The markdown percentage = 52%

Expresaing markdown as a decimal :

52% = 52 / 100 = 0.52

Expression for the sale price of hardcover book:

Original price = b

Price was marked down by 0.52

Hence, sales price becomes ;

Original price * markdown

b * 0.52

0.52b

3 0
2 years ago
a box contains 16 cherry fruit chews, 15 peach fruit chews, and 12 plum fruit chews. Which two flavors are in the ratio 5 to 4
DerKrebs [107]
Peaches to plums. 15 divided by 3 is 5, 12 divided by 3 is 4.
8 0
2 years ago
Read 2 more answers
If <img src="https://tex.z-dn.net/?f=%5Crm%20%5C%3A%20x%20%3D%20log_%7Ba%7D%28bc%29" id="TexFormula1" title="\rm \: x = log_{a}(
timama [110]

Use the change-of-basis identity,

\log_x(y) = \dfrac{\ln(y)}{\ln(x)}

to write

xyz = \log_a(bc) \log_b(ac) \log_c(ab) = \dfrac{\ln(bc) \ln(ac) \ln(ab)}{\ln(a) \ln(b) \ln(c)}

Use the product-to-sum identity,

\log_x(yz) = \log_x(y) + \log_x(z)

to write

xyz = \dfrac{(\ln(b) + \ln(c)) (\ln(a) + \ln(c)) (\ln(a) + \ln(b))}{\ln(a) \ln(b) \ln(c)}

Redistribute the factors on the left side as

xyz = \dfrac{\ln(b) + \ln(c)}{\ln(b)} \times \dfrac{\ln(a) + \ln(c)}{\ln(c)} \times \dfrac{\ln(a) + \ln(b)}{\ln(a)}

and simplify to

xyz = \left(1 + \dfrac{\ln(c)}{\ln(b)}\right) \left(1 + \dfrac{\ln(a)}{\ln(c)}\right) \left(1 + \dfrac{\ln(b)}{\ln(a)}\right)

Now expand the right side:

xyz = 1 + \dfrac{\ln(c)}{\ln(b)} + \dfrac{\ln(a)}{\ln(c)} + \dfrac{\ln(b)}{\ln(a)} \\\\ ~~~~~~~~~~~~+ \dfrac{\ln(c)\ln(a)}{\ln(b)\ln(c)} + \dfrac{\ln(c)\ln(b)}{\ln(b)\ln(a)} + \dfrac{\ln(a)\ln(b)}{\ln(c)\ln(a)} \\\\ ~~~~~~~~~~~~ + \dfrac{\ln(c)\ln(a)\ln(b)}{\ln(b)\ln(c)\ln(a)}

Simplify and rewrite using the logarithm properties mentioned earlier.

xyz = 1 + \dfrac{\ln(c)}{\ln(b)} + \dfrac{\ln(a)}{\ln(c)} + \dfrac{\ln(b)}{\ln(a)} + \dfrac{\ln(a)}{\ln(b)} + \dfrac{\ln(c)}{\ln(a)} + \dfrac{\ln(b)}{\ln(c)} + 1

xyz = 2 + \dfrac{\ln(c)+\ln(a)}{\ln(b)} + \dfrac{\ln(a)+\ln(b)}{\ln(c)} + \dfrac{\ln(b)+\ln(c)}{\ln(a)}

xyz = 2 + \dfrac{\ln(ac)}{\ln(b)} + \dfrac{\ln(ab)}{\ln(c)} + \dfrac{\ln(bc)}{\ln(a)}

xyz = 2 + \log_b(ac) + \log_c(ab) + \log_a(bc)

\implies \boxed{xyz = x + y + z + 2}

(C)

6 0
2 years ago
What is 32.5 billion in scientific notation
Nana76 [90]
It would be 3.25 x 10¹⁰
4 0
2 years ago
The price of an item has risen to $217 today. Yesterday it was $140. Find the percentage increase.
tiny-mole [99]

Answer: $77

Step-by-step explanation: 77 is the correct answer because the price increased by 77 because 77 is the difference between the two, and how i got 77 was to subtract 140 ( the earlier price) from 217 ( the price that it changed to), i hope you found this helpful...

5 0
2 years ago
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