Roger started with 90 items in his MP3 collection. Each month, he buys 15 more MP3s to add to his collection. The number of MP3s in his collection, P, is given by P = 15m + 90, where m is the number of months he has added 15 MP3s to his collection. How many MP3s will be in Roger’s account in 9 months?
A. 90
B. 105
C. 225
D. 315

Answer:

Step-by-step explanation:

Suppose we had a big animal sanctuary for cats and dogs.

We had say 30 cats and 50 dogs

So by proportion we have:  

Using format type 1

cats : dogs  

→

30

:

50

→

3

:

5

as ratio (proportions)

But for  

3

:

5

we have 3 parts in combination with 5 parts giving a proportion total of  

3

+

5

=

8

Converting this to fractions and hence percentage

Cats  

=

3

3

+

5

=

3

8

→

3

8

×

100

%

=

ddd

37.5

%

of the whole

Dogs  

=

5

3

+

5

=

5

8

→

5

8

×

100

%

=

ddd

62.5

%

of the whole

−−−−−−−−−−−−−−−−−−

ddddddddddddddddd

Added up  

→

100.0

%

all of the whole

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Using format type 2 - Fraction format

cats

dogs

→

30

50

→

3

5

←

This is NOT a fraction of the whole

Again we have  

cats

cats + dogs

→

3

3

+

5

×

100

%

=

37.5

%

of the whole

dogs

cats + dogs

→

5

3

+

5

×

100

%

=

62.5

%

of the whole

−−−−−−−−−−−−−−−−−−

The total percentage of all the students who are left handed is 26%.

Percentage is defined as the parts of a number per fraction of 100. We have to divide a number with it's whole and then multiply with 100 to calculate the percentage of any number.

Ratio of boys to girls = 2 : 3

Number of boys in fractional form = 2/(2 + 3) = 2/5

Number of girls in fractional form = 3/5

Percentage of boys = 2/5 × 100 = 40%

Percentage of girls = 100% - 40% = 60%

Of these 40%, 20% are left handed.

⇒ 40% × 20% = 0.08 = 8%

So 8% of boys of the total students is left handed.

70% of the girls are right handed. Then 30% of girls are left handed.

Of 60% of total girls, 30% are left handed.

30% × 60% = 18%

So 18% of girls of the total students are left handed.

Total percentage = 18% + 8% = 26%

Hence the total percentage of left handed students is 26%.

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Answer:

You performed better relative to the class average in your economics class.

Step-by-step explanation:

There are two classes.

AP statistics class and Economic class

Using the z score formula,

z = (x-μ)/σ, where

x is the raw score

μ is the population mean

σ is the population standard deviation.

In the AP statistics class, you scored a percentage of 65%. The class average was 60%

x is the raw score = 65%

μ is the population mean = 60%

σ is the population standard deviation = 6%

z = (x-μ)/σ

z = (65 - 60)/6

z = 5/6

z = 0.8333333333

In the Economics classes, you scored a percentage of 78% with a class average of 75%

x is the raw score = 78%

μ is the population mean = 75%

σ is the population standard deviation = 2.5%

z = (x-μ)/σ

z = (78 - 75)/2.5

z = 3/2.5

z = 1.2

Comparing the z score of both exams taken from different classes,we can see that your z score was higher in the Economics class compared to the A.P statistics class.

Therefore, you performed better relative to the class average in your economics class.

Answer:

.667

Step-by-step explanation:

4/6 = 2/3 = .667

The probability that it is a 5 or an even number is 5/6 or 0.834 if

you roll a six-sided die.

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

Number of total outcomes = 6

P(5) = 1/6

P(even) = 4/6

The probability that it is a 5 or an even number:

P = 1/6 + 4/6 = 5/6

P = 0.834

Thus, the probability that it is a 5 or an even number is 5/6 or 0.834 if

you roll a six-sided die.

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Answer:

x stands for the number of cars washed with the supplies.

Step-by-step explanation:

Given;

Profit equation; y = 4x - 45

Price of supplies = $45

Amount received per car wahed = $4

From the equation given, we can notice that the higher the value of x the higher the profit generated.

Since, for washing a car brings $4, 2 car is $8 and so on... So the value of x is the number of cars washed with the supplies.

x stands for the number of cars washed with the supplies.

For example, if we wash 15 cars. x = 15

y = 4(15) - 45 = 60 - 45

y = $15

Answer:

3. 1/28

4. About 7.11%

Step-by-step explanation:

3.

Since two of the eight ads are by a local retailer, the probability of picking either one once is 2/8=1/4. However, the second time, since on of the ads has already been used and there are a total of 7 left, the new probability is 1/7. Multiplying these two together, you get 1/4*1/7=1/28.

4.

To find the probability, you need to find the area of the smaller triangle and the rest. The formula for the area of an equilateral triangle is [tex]\frac{\sqrt{3}}{4}a^2[/tex], meaning that the area of the big triangle is [tex]56.25\sqrt{3}[/tex] and the area of the little triangle is [tex]4\sqrt{3}[/tex]. [tex]\frac{4\sqrt{3}}{56.25\sqrt{3}}\approx 7.11\%[/tex]. Hope this helps!

Answer:

(-1,-4)

Step-by-step explanation:

that's the answer

Answer: it will take 5 hours to reach -1 °F.

Step-by-step explanation:

The temperature changes -4 degrees Fahrenheit per hour. This is a linear rate. The rate at which the temperature is decreasing is in arithmetic progression. The formula for determining the nth term of an arithmetic sequence is expressed as

Tn = a + (n - 1)d

Where

a represents the first term of the sequence(the starting point)

d represents the common difference.

n = x = the number of terms in the sequence(number of hours)

From the information given,

a = 0(at 1 pm, number of hours is 0)

d = - 4 degrees (it is decreasing)

Tn = -1 °F.

We want to determine the number of hours, x when Tn = -1 °F

Therefore,

- 1 = 0 + (x - 1)- 4

- 1 = - x + 4

x = 4 + 1

x = 5 hours

Answer:

Step-by-step explanation:

prime factors of 20 = 2 * 2 * 5

[tex]\frac{7}{20}=\frac{7}{2*2*5}[/tex]

Answer and Step-by-step explanation:

The length is 10 and the width is 8

Answer:

cosx= 35. Use Trignometrical identity cosx = √1−sin2x . cos x = √1−1625 = √925 = 35 to be the ...

Missing: =0.82 ‎| Must include: =0.82

Step-by-step explanation:

Answer:

[tex] x = 3y [/tex]

[tex]7x+4y= 12 + 4x+7y[/tex]

Step-by-step explanation:

Para resolver la pregunta, basta con definir variables adecuadas y traducir cada relación. Sea x el costo de una caja grande e y el costo de una caja pequeña. Tenemos que el costo de una caja grande es igual a 3 cajas pequeñas. Es decir, x = 3y. Luego, tenemos que

[tex]7x+4y= 12 + 4x+7y[/tex]

pues al sumarle 12 al costo de 4grande y 7 pequeñas obtenemos el costo de 7 grande y cuatro pequeñas. De aquí, el sistema de ecuaciones que modela el sistema es

[tex] x = 3y [/tex]

[tex]7x+4y= 12 + 4x+7y[/tex]

Answer:

1%

Step-by-step explanation:

Answer:

The answer is D

I hope this is right

Answer:

The answer is 9.72 .

Step-by-step explanation:

You can do it by elaborating :

2.43×4 = (2.00×4) + (0.4×4) + (0.03×4)

= 8.00 + 1.6 + 0.12

= 9.72

Answer: 784π mm²

Step-by-step explanation: To find the area of a circle, start with the formula for the area of a circle which is shown below.

Area = πr²

Notice that here, we're given the diameter instead of the radius.

Remember that the radius is equal to half of the diameter. So the radius of this circle will be equal to half 56 millimeters or 28 millimeters.

So plugging into the formula, we have (π)(28 mm)².

A common mistake is to plug 56 millimeters into the formula but remember that we must plug in the radius and not the diameter.

Multiplying, (28 mm)² is equal to (28 mm)(28 mm) or 784 mm².

So we have 784π mm².

So the area of the circle is 784π mm².

Answer:

Lesson Summary

A milliliter is a metric unit used to measure capacity that's equal to one-thousandth of a liter. Capacity is the amount of liquid a container can hold. One liter contains 1,000 milliliters, so to convert liters to milliliters you multiply the number of liters times 1,000.

Look at the equivalent metric units of capacity. When converting from a larger unit to a smaller unit, multiply by 1,000. When converting from a smaller unit to a larger unit, divide by 1,000. Liters are larger than milliliters, so multiply by 1,000.

Step-by-step explanation:

Answer:

just google it dude

Step-by-step explanation:

google :)

Answer:

Jamie would need 140 tiles.

Answer:

C

Step-by-step explanation:

f(5) means we must plug in 5 wherever we see an x in the function.

[tex]f(x) = \frac{1}{9} 3^{x}[/tex]

[tex]f(5) = \frac{1}{9} 3^{5}[/tex]

[tex]f(5) = \frac{1}{9} * 243[/tex]

[tex]f(5) = \frac{243}{9} = 27[/tex]

So f(5) = 27! The answer is C.

Answer:

x=3

Step-by-step explanation:

4x = 2x + 6

-2x  -2x + 6

2x = 6

x = 3

Answer: 56° and 34°

Step-by-step explanation: Well we know this is a complementary angle and if two angles are complementary, then the sum of their measures is 90 degrees.

If these two angles have to add together to be 90 degrees, we can use that fact to set up our equation. We can say that 4x + (2x + 6) = 90.

Simplifying from here, we have 6x + 6 = 90.

Subtracting 6 from both sides, we have 6x = 84.

Dividing both sides by 6, we find that x = 14.

Now, remember that these should add up to 90 degrees.

We can check by substituting the value that we just found back in for x to check our angles. If they add to 90 degrees, we did it correctly.

So for the first one we have 4(14) which is 56 and for the next one we have 2(14) + 6 or 28 + 6 which simplifies to 34.

Now adding, 56 + 34 gives us 90.

So, we know that these are the correct measures.

Answer:

Surface Area  = 4928 ft^2

Step-by-step explanation:

Easy way -

First find the area of each face i.e.

56 * 20 =  1120

65 * 20 = 1300

33 * 20 = 660

2 * (1/2 * 56 * 33) = 1848

Total = 4928 ft^2

Answer:

x = 2

y = -1

Step-by-step explanation:

x² + y = 3      --------------------(i)

x² = 3 - y

x² - y = 5 ---------------------(ii)

substitute x² = 3 - y in equation (ii)

x² - y = 5

3 - y -y = 5        {Add like terms}

3 - 2y = 5              {Subtract 3 from both sides}

3 - 2y -3 = 5 - 3

-2y = 2             {divide both sides by -2}

-2y/-2 = 2/-2

y = -1

Substitute the value of y in equation (i)

x² + y = 3

x² - 1= 3         {Add  1 to both sides}

x² - 1 + 1 = 3+ 1

x² = 4

x = √4

x = 2

Answer:

$0.50

Step-by-step explanation:

2.50 x .80 = 2

2.50 - 2 = 0.50

really need brainliest!!

Answer:

$4.50

Step-by-step explanation:

You move the decimal two places to the left for 80% and get .8

Then, do .8 x 2.50 = 2

2, is the 80% so since it is marked up, you add 2.50 + 2

This equals $4.50.

Answer:

In Euclidean geometry, a quadrilateral is a four-sided 2D figure whose sum of internal angles is 360°. The word quadrilateral is derived from two Latin words ‘quadri’ and ‘latus’ meaning four and side respectively. Therefore, identifying the properties of quadrilaterals is important when trying to distinguish them from other polygons. So, what are the properties of quadrilaterals? There are two properties of quadrilaterals:

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Since the figures are similar then the ratios of corresponding sides are equal, that is

[tex]\frac{AD}{WZ}[/tex] = [tex]\frac{CD}{YZ}[/tex] , substitute values

[tex]\frac{10}{46}[/tex] = [tex]\frac{5}{YZ}[/tex] ( cross- multiply )

10YZ = 230 ( divide both sides by 10 )

YZ = 23 → c

Answer:

Probability of choosing a Diamond= 9/26

Choosing a card that is not a club is=19/26

Step-by-step explanation:

These are the answers because...

Answer:

<2.1130913087, 4.53153893518>;  <−3.03108891325, −1.75>; <−0.91799760455, 2.78153893518>

Step-by-step explanation:

Bruce's vector is <5cos(90-25), 5sin(90-25)> = <5cos(65), 5sin(65)> ≈ <2.1130913087, 4.53153893518>

The wind's vector is <3.5cos(270-60), 3.5sin(270-60)> = <3.5cos(210), 3.5sin(210)>  ≈ <−3.03108891325, −1.75>

You add them together to find his actual motion:

<−0.91799760455, 2.78153893518>

The vector representing Bruce's actual motion is [tex]<-0.91799760455, 2.78153893518>[/tex] and this can be determined by using the given data.

Given :

The following steps can be used in order to identify Bruce's vector, the current's vector, and the vector representing Bruce's actual motion:

Step 1 - According to the given data, Bruce's speed when swimming in still water is 5 m/s and in a direction 25° east of north.

Step 2 - So, Bruce's vector is given below:

[tex]\rm = <5 cos(90-25),5sin(90-25)>[/tex]

[tex]\rm = <5 cos(65),5sin(65)>[/tex]

[tex]\rm = <2.1130913087, 4.53153893518>[/tex]

Step 3 - Also it is given that the current is moving 3.5 m/s at an angle of 60° west of south. So, wind's vector can be calculated as:

[tex]\rm = <3.5 cos(270-60),3.5sin(270-60)>[/tex]

[tex]\rm = <3.5 cos(210),3.5sin(210)>[/tex]

[tex]\rm = <-3.03108891325, -1.75>[/tex]

Step 4 - So, the actual motion is given by:

[tex]= <-0.91799760455, 2.78153893518>[/tex]

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