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3 years ago

Spotlight Dance increased the number of dancers on its competition team. Last

Mathematics

1 answer:

Nana76 [90]3 years ago

3 0

Answer:

80%

Step-by-step explanation:

To find percentage increase, we use the following formula:

Percentage Increase = $\frac{New-Old}{Old}*100$

Here

New means the latest value (which is 18 dancers)

Old means the previous value (which is 10 dancers)

The Multiplication by 100 is to convert the decimal answer to percentage.

So, we have:

New = 18

Old = 10

Now we substitute and find:

$\frac{New-Old}{Old}*100\\\frac{18-10}{10}*100\\\frac{8}{10}*100\\80$

So, there was an increase of 80%

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Diano4ka-milaya [45]

Answer:

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2 years ago

Express this to single logarithm

zzz [600]

Answer: $\log_{2}\left(\frac{q^2\sqrt{m}}{n^3}\right)$

We have something in the form log(x/y) where x = q^2*sqrt(m) and y = n^3. The log is base 2.

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

Explanation:

It seems strange how the first two logs you wrote are base 2, but the third one is not. I'll assume that you meant to say it's also base 2. Because base 2 is fundamental to computing, logs of this nature are often referred to as binary logarithms.

I'm going to use these three log rules, which apply to any base.

log(A) + log(B) = log(A*B)
log(A) - log(B) = log(A/B)
B*log(A) = log(A^B)

From there, we can then say the following:

$\frac{1}{2}\log_{2}\left(m\right)-3\log_{2}\left(n\right)+2\log_{2}\left(q\right)\\\\\log_{2}\left(m^{1/2}\right)-\log_{2}\left(n^3\right)+\log_{2}\left(q^2\right) \ \text{ .... use log rule 3}\\\\\log_{2}\left(\sqrt{m}\right)+\log_{2}\left(q^2\right)-\log_{2}\left(n^3\right)\\\\\log_{2}\left(\sqrt{m}*q^2\right)-\log_{2}\left(n^3\right) \ \text{ .... use log rule 1}\\\\\log_{2}\left(\frac{q^2\sqrt{m}}{n^3}\right) \ \text{ .... use log rule 2}$

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2 years ago

Tanvi teaches art lessons at a day camp and needs to get supplies. She purchases 40 Bright Streak paint sets from the Color a sp

natima [27]

Answer:

The paint sets cost $8 each.

Step-by-step explanation:

Tanvi pays $310 after getting a $10 discount. Before the disscount her total was $320. 320 divided by 40 sets is $8 per set.

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3 years ago

Penny is 100 centimeters tall. Jeremy is 38 inches tall. Who is taller

NNADVOKAT [17]

1 inch = 2.54 cm
100 cm * (1 inch)/(2.54 cm) = 39.37 inches
Penny is taller

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2 years ago

Read 2 more answers

Find the x and y intercepts 5y + 3x = 15

Tomtit [17]

First, find the x-intercept.

The x-intercept will be at the point (x, 0) where x is any real number. If we substitute the x-coordinate and the y-coordinate for the x and y variables in the equation, we can solve for x.

5y + 3x = 15
5(0) + 3x = 15
3x + 15
x = 5

We found the x-intercept now find the y-intercept with the same process.

The y-intercept will be at the point (0, y) where y is any real number.

5y + 3x = 15
5y + 3(0) = 15
5y = 15
y = 3

So, the x-intercept is (5, 0) and the y-intercept is (0, 3)

8 0

3 years ago