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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?

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

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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

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3 years ago

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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

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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

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Option C

Monthly loan payment is $ 93.33

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

From given question,

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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

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

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

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3 years ago

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