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4 years ago

Number 11 and 12 please help me extra credit

Mathematics

2 answers:

Norma-Jean [14]4 years ago

8 0

11. Let's assume that Ryan has x stamps, so Charlie has 5x stamps.

Set up the equation:
x + 5x = 1,608
6x = 1,608
x= 268

So Ryan has 268 stamps, and Charlie has 5*268 = 1340 stamps

12. You already calculated how many monitors he sold which is 33.

Multiply : 185 * 33 = $6105

(you might have done something wrong when multiplying :) )

crimeas [40]4 years ago

8 0

The answer is 6105 I did the math then I realized somebody else already answered but if u would like to press the thanks button U could

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Solve this equation<br><br><br> -3(6 + 6b) + 4 = -104

yulyashka [42]

Answer:

b = 5.

Step-by-step explanation:

-3(6 + 6b) + 4 = -104

-18 - 18b + 4 = -104

-18b = -104 + 18 - 4

-18b = -90

b = -90 / -18

b = 5.

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3 years ago

Let f(x)=3x + 5 and g(x) = 3x2 - x - 10. Find (f/g)(x) and state it’s domain

koban [17]

Answer:

9x²-3x-25, Domain is all real numbers

Step-by-step explanation:

f(g(x)) = 3(3x²-x-10)+5

= 9x²-3x-30+5

= 9x²-3x-25

Domain is all real numbers

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3 years ago

A drug used to relieve anxiety and nervousness has a half-life of 16 hours. if a doctor prescribes one 2.8-milligram every 24 ho

dlinn [17]

After 24 hours, 35.4% of the initial dosage remains on the body.

<h3>What percentage of the last dosage remains?</h3>

The exponential decay is written as:

$f(x) = A*e^{-k*x}$

Where A is the initial value, in this case 2.8mg.

k is the constant of decay, given by the logarithm of 2 over the half life, in this case, is:

$k = ln(2)/16h$

Replacing all that in the above formula, and evaluating in x = 24 hours we get:

$f(24h) = 2.8mg*e^{-24h*ln(2)/16h} = 0.9899 mg$

The percentage of the initial dosage that remains is:

$P = \frac{0.9899mg}{2.8mg}*100\% = 35.4\%$

If you want to learn more about exponential decays:

brainly.com/question/11464095

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2 years ago

A central angle of a circle measures 1.5 radians. If the radius of the circle is 3 cm, what is the area of the related sector?

soldi70 [24.7K]

Answer:

Option B. $6.75\ cm^{2}$

Step-by-step explanation:

we know that

The area of a circle is equal to

$A=\pi r^{2}$

we have

$r=3\ cm$

substitute

$A=\pi (3^{2})=9 \pi\ cm^{2}$

Remember that

$2\pi$ radians subtends the complete circle of area $9 \pi\ cm^{2}$

by proportion

Find the area of the related sector for a central angle of $1.5$ radians

Let

x------> the area of the related sector

$\frac{9 \pi}{2\pi}\frac{cm^{2}}{radians} =\frac{x}{1.5}\frac{cm^{2}}{radians}\\ \\x=9*1.5/2\\ \\x= 6.75\ cm^{2}$

7 0

3 years ago

A business shipped 106 packages one day. Customers are charged 4.50 for each standard delivery and 7.50 for each express deliver

zhuklara [117]

The question is incomplete:

A business shipped 106 packages one day. Customers are charged 4.50 for each standard delivery and 7.50 for each express delivery. Total shipping charges for the day were $600.00. How many of each kind of package were shipped?

Answer:

The business shipped 65 standard delivery packages and 41 express delivery packages.

Step-by-step explanation:

Since the business shipped 106 packages one day you can say that:

x+y=106, where:

x is the number of standard delivery packages

y is the number of express delivery packages

Also, you can say that the result of multiplying the price per each type of package for its amount and adding those would be equal to the total shipping charges for the day, which is:

4.50x+7.50y=600

So, you have the following equations:

x+y=106 (1)

4.50x+7.50y=600 (2)

Now, you can solve for x in (1):

x=106-y (3)

Then, you can replace (3) in (2) and solve for y:

4.50(106-y)+7.50y=600

477-4.50y+7.50y=600

3y=600-477

3y=123

y=123/3

y=41

Finally, you can replace the value of y in (3) to be able to find the value of x:

x=106-41

x=65

According to this, the answer is that the business shipped 65 standard delivery packages and 41 express delivery packages.

3 0

3 years ago