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rusak2 [61]
3 years ago
14

Lve.1. Jeremy spent $33 on 3 CDs. At this rate, how much would 5 CDs cost?​

Mathematics
2 answers:
IrinaVladis [17]3 years ago
6 0
It will coast $55 for 5 CDs
sattari [20]3 years ago
3 0

Answer:

$55

Step-by-step explanation:

If 3 cds are $33, divide that by 3 cds so you get the cost of one which is $11. Multiply that by 5 and you get $55

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What is 2/3 divided by 9?
Dima020 [189]
2/3 is about .66 so do .66 divided by 9 and you get .073
8 0
3 years ago
If logb2=x and logb3=y, evaluate the following in terms of x and y:
Alja [10]

log_b{162} = x + 4y\\\\log_b324 = 2x+4y\\\\log_b\frac{8}{9} = 3x-2y\\\\\frac{log_b27}{log_b16} = 3y-4x

<em><u>Solution:</u></em>

Given that,

log_b2 = x\\\\log_b3 = y --------(i)

<em><u>Use the following log rules</u></em>

Rule 1: log_b(ac) = log_ba + log_bc

Rule 2: log_b\frac{a}{c} = log_ba - log_bc

Rule 3: log_ba^c = clog_ba

a) log_b{162}

Break 162 down to primes:

162 = 2^1 \times 3^4

log_b{162} =log_b 2^1. 3^4\\\\By\ rule\ 1\\\\ log_b{162} = log_b 2^1 +log_b 3^4\\\\By\ rule\ 3\\\\1log_b2 + 4log_b3\\\\1x+4y\\\\x+4y

Thus we get,

log_b162 = x + 4y

Next

b) log_b 324

Break 324 down to primes:

324 = 2^2 \times 3^4

log_b324 = log_b 2^2.3^4\\\\By\ rule\ 1\\\\log_b324 = log_b2^2 + log_b3^4\\\\By\ rule\ 3\\\\log_b324 = 2log_b2 + 4log_b3\\\\From\ (i)\\\\log_b324 = 2x + 4y

Next

c) log_b\frac{8}{9}

By rule 2

log_b\frac{8}{9} = log_b8 - log_b9\\\\log_b\frac{8}{9} = log_b 2^3 - log_b3^2\\\\By\ rule\ 3\\\\log_b\frac{8}{9} =  3 log_b2 - 2log_b3\\\\From\ (i)\\\\log_b\frac{8}{9} =  3x - 2y

Next

d) \frac{log_b27}{log_b16}

By rule 2

\frac{log_b27}{log_b16} = log_b27 - log_b16\\\\ \frac{log_b27}{log_b16} = log_b3^3 - log_b2^4\\\\By\ rule\ 2\\\\ \frac{log_b27}{log_b16} = 3log_b3 - 4log_b2 \\\\From\ (i)\\\\\frac{log_b27}{log_b16} =  3y - 4x

Thus the given are evaluated in terms of x and y

3 0
2 years ago
What are the ordered pairs of thesolutions for this system of equations? f(x) = x^2 – 2x + 3; f(x) = -6x
babunello [35]

First you subtract the two equations

x^2-2x+3-6x

You simplify that and get

x^2+4x+3 = 0

Now we solve using the quadratic formula.

We get x = -1 and x = -3.

Now we find the y values by plugging the x values into the equation.

f(x) is the same as y.

y = (-1)^2 - 2(-1) + 3

y = 1+2+3

y = 6

Now for the other x value.

y = (-3)^2 - 2(-3) + 3

y = 9+9

y = 18

So the two ordered pairs are (-1,6) and (-3,18)

8 0
2 years ago
6114 chocolate bars are to shared equally between 24 large cake mixes how many bars does each cake mix get
Basile [38]

Answer:

146,736

Step-by-step explanation:

6114 divided by 24 is 146,736

8 0
3 years ago
Read 2 more answers
The key on a stem-and-leaf plot shows that 1|9 represents 19. How would the number 402 be represented?
Andrew [12]
Hi again,

We need to find the key on a stem-and-leaf of the number 402 being represented.

<span>40|2 is your best answer

</span>Remember the last digit is the leaf and the rest of the numbers is the stem.

Hope this helped! :)
5 0
3 years ago
Read 2 more answers
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