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alexira [117]
3 years ago
5

If the drama club collected 25,915 points and gave away 71 shirts, how many shirts would be given away when 33,580 points are co

llected?
Mathematics
1 answer:
natta225 [31]3 years ago
6 0
<span>25915 (points)/71 (shirts)= 365 (cost per shirt)
</span><span>33580(points)/365(cost per shirt)= 92 shirts total</span>
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Simplify by expressing fractional exponents instead of radicals
igomit [66]

Answer:

a^{\frac{1}{2}}b^{\frac{1}{2}}

Step-by-step explanation:

Given:

The expression in radical form is given as:

\sqrt{ab}

We need to express this in fractional exponent form.

We know that,

\sqrt a=a^{\frac{1}{2}}

Also, \sqrt{ab}=\sqrt a\times \sqrt b

Now, clubbing both the properties of square root function, we can rewrite the given expression as:

\sqrt{ab}=\sqrt a \times \sqrt b\\\\\sqrt{ab}=a^{\frac{1}{2}}\times b^{\frac{1}{2}}\\\\\therefore \sqrt{ab}=a^{\frac{1}{2}}b^{\frac{1}{2}}

So, the given expression in fractional exponents form is a^{\frac{1}{2}}b^{\frac{1}{2}}.

3 0
3 years ago
22= 18x + 4 please help!!
vredina [299]

Answer:

x=1

Step-by-step explanation:

22-18=4  18-18=/

18x1=18

22=18(1)+4

22-18(1)=4

7 0
3 years ago
Read 2 more answers
If f(x) = 2x² - 6x + 8, find f(a - 2).
yan [13]

Answer: f(a-2) = 2a² - 14a + 28

Step-by-step explanation:

f(x) = 2x² - 6x + 8

you can take a-2 and substitute it for each x, which would look like this:

f(a-2) = 2(a-2)² - 6(a-2) + 8

then distribute those in ( )

f(a-2) = 2a² - 8a + 8 - 6a + 12 + 8

combine like terms

f(a-2) = 2a² - 14a + 28

7 0
2 years ago
Rick is buying a small sailboat for $3,000 with a down payment of $1,000. The bank approved a simple interest flat rate loan for
Anni [7]

Option C

Monthly loan payment is $ 93.33

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

From given question,

Cost of sailboat = $ 3000

Down payment = $ 1000

<em><u>Hence net principal is given as:</u></em>

net principal = p = $ 3000 - $ 1000 = $ 2000

p = $ 2000

The bank approved a simple interest flat rate loan for 2 years at 6% APR

Hence number of years = 2 years

Rate of interest = 6 %

<em><u>Let us first calculate the simple interest</u></em>

The formula for simple interest is given as:

\text{ simple interest } = \frac{ p \times n \times r}{100}

Substituting the given values,

\text{ simple interest } = \frac{ 2000 \times 2 \times 6}{100}\\\\\text{ simple interest } = 20 \times 2 \times 6 = 240

Thus simple interest = $ 240

Total amount payable = principal + simple interest

Total amount payable = $ 2000 + $ 240

Total amount payable = $ 2240

<em><u>How much are the monthly loan payments?</u></em>

Here number of years = 2 years

To calculate the monthly payment divide the total amount payable by 24 (since 2 year = 24 months )

\text{ Monthly loan payment } = \text{ Total amount payable } \div 24

\text{ Monthly loan payment } = \frac{2240}{24} = 93.33

Thus monthly loan payment is $ 93.33 Option C is correct

4 0
3 years ago
Solve the proportion.<br> u/2 = 4/1 <br><br> U=
Lelechka [254]

\dfrac{u}{2}  =  \dfrac{4}{1}

\implies \: u \:  =  \frac{4}{1}  \times 2

\implies \: u = 8

3 0
3 years ago
Read 2 more answers
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