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juin [17]
3 years ago
11

Ten percent of the reds are added to twenty percent of the blues, and the total is 24. Yet the product of the number of reds and

3 exceeds the number of Blues by 20. How many are red and how many are blue?
Mathematics
1 answer:
salantis [7]3 years ago
5 0
0.10r + 0.20b = 24
3r = b + 20....b = 3r - 20

0.10r + 0.20(3r - 20) = 24
0.10r + 0.60r - 4 = 24
0.70r = 24 + 4
0.70r = 28
r = 28/0.70
r = 40 <=== there are 40 reds

0.10r + 0.20b = 24
0.10(40) + 0.20b = 24
4 + 0.20b = 24
0.20b = 24 - 4
0.20b = 20
b = 20/0.20
b = 100 <=== there are 100 blues

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Theresa’s computer at home has 1 terabyte of storage. How many more bits of storage does her computer have than the combined bit
posledela

Answer:

Not enough information provided

Step-by-step explanation:

To find the difference between one terabyte and the storage available to the other mediums, we would need to know the storage available to those mediums.  They can all have potentially different amounts of storage space, so we have no way to answer that part of the question.

We can however find out how many bits her computer has.  There are two lines of thought  to follow though.  kilo, mega, giga etc each generally note a multiple of 1000 in common terms.  In computer tech though, the number 1024, or 2¹⁰, is often used instead.

Starting with the layman's powers of 10, a terabyte is a thousand gigabytes, which in turn is a thousand megabytes, which is a thousand kilobytes, which is a thousand bytes.

That means that a terabyte stores 1 × 10¹² bytes.  A byte however is eight bits, giving us 8 × 10¹² bits.

Using the nerdier powers of 2 then, a byte is eight bits, so we'll call that 2³.  We then go up by multiples of 2¹⁰.  With the same logic above, a terabyte is 2¹⁰ gigabytes, which is 2¹⁰ megabytes, which is 2¹⁰ kilobytes, which is 2¹⁰ bytes.  Adding the exponents up, then a terabyte would be 2⁴³ bits

So depending on whether you use the powers of ten or powers of 2 conventions, then a terabyte is either 8 × 10¹² bits, or 2⁴³ bits.

If you want to express the latter as a power of ten for proper scientific notation, then it would be 8.796093022208 × 10¹² - a rather useless way of expressing it, but just to cover all bases.

3 0
3 years ago
22. The area of a triangle can be represented by the expression 14x^5 + 63x^2. If the base is 7x^2, write
kkurt [141]

Answer:

h = 4x ^ 3 + 18

Step-by-step explanation:

The first thing you should know for this case is that the area of a triangle is given by:

A = (1/2) * (b) * (h)

Where,

b: base.

h: height.

Clearing the height we have:

h = ((2) * (A)) / (b)

Substituting the values

h = ((2) * (14x ^ 5 + 63x ^ 2)) / (7x ^ 2)

Simplifying the expression:

h = ((2) * (2x ^ 3 + 9))

h = 4x ^ 3 + 18

answer

an expression to represent its height is

h = 4x ^ 3 + 18

4 0
3 years ago
The graph shows the prices of different numbers of bushels of corn at a store in the current year. The table shows the prices of
Sauron [17]

Given: in the previous year, the table shows the prices of various amount of maize bushels in the same store.

A diagram displays the number of x-axis bussels and the price of maize in y axis dollars for 2012.

Search: The rate of change in this year's maize bushel, Part B: How many dollars is the present year's price of a maize bushel higher than in the previous year's maize bushel

Finding:

Earlier Year Panel

Bushel Number Corn prices

Shift rate of the previous year's maize bushel = (20-10)/(4 – 2) = = 10/2 = 5 Graph 2, 14, 4, 28, 6, 42 and 8, 56 and 10, 70, and 12, 84 Current year This year's rate of adjustment of the maize bushel, = (28 - 14)/(4 -2) = 14/2 = 7 7 - 5= 2 USD is more than the price of the maize bushel in the current year than the pre-year price of the maize bushel.

3 0
3 years ago
Read 2 more answers
If tan ⁡x=12/5, and 0°
Charra [1.4K]

The value of sin(2x) is \frac{120}{169}

Explanation:

Given that tan x =\frac{12}{5}

The formula for sin(2x) is \sin (2 x)=2 \sin x \cos x

Since, \tan x=\frac{o p p}{a d j}

Also, it is given that tan x =\frac{12}{5}

Thus, opp=12 and adj=5

To find the hypotenuse, let us use the pythagoras theorem,

\begin{aligned}h y p &=\sqrt{12^{2}+5^{2}} \\&=\sqrt{144+25} \\&=\sqrt{169} \\&=13\end{aligned}

Now, we can find the value of sin x and cos x.

\sin x=\frac{\text { opp }}{h y p}=\frac{12}{13}

\cos x=\frac{a d j}{h y p}=\frac{5}{13}

Now, substituting these values in the formula for sin 2x, we get,

\begin{aligned}\sin (2 x) &=2 \sin x \cos x \\&=2\left(\frac{12}{13}\right)\left(\frac{5}{13}\right) \\&=\frac{120}{169}\end{aligned}

Thus, the value of sin(2x) is \frac{120}{169}

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3 years ago
Where is the point (3,0) located on the coordinate plane?
tia_tia [17]

Answer:

D. on the x axis is the best answer

7 0
3 years ago
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