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brilliants [131]
4 years ago
11

Write 4.55 as a mixed number and as a improper fraction​

Mathematics
1 answer:
boyakko [2]4 years ago
4 0

Step-by-step explanation:

4.55-4\ and\ 55\ hundredths\\\\4.55=4\dfrac{55}{100}=4\dfrac{55:5}{100:5}=4\dfrac{11}{20}=\dfrac{(4)(20)+11}{20}=\dfrac{91}{20}

4.\underbrace{55}_{2_{digits}}=4\dfrac{55}{1\underbrace{00}_{2_{zeros}}}

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A designer wants to create a whisper chamber in the shape of an ellipse. He has a warehouse space with a longest length of 40 me
luda_lava [24]

Answer: the answer is 19.4m

Step-by-step explanation:

5 0
3 years ago
Shaquil needs to borrow $400. The loan company charges him $80 in fees for the loan. Shaquil calculates that the annual percenta
lesya [120]

Answer:

(B)  

Step-by-step explanation:

PRINCIPAL AMOUNT(p) = $400

RATE (r)= 250% = 2.5

INTEREST = $80

t = time (in days) = t/365

By using the formula,

r = \frac{i}{pt}

2.5 = \frac{80*365}{400*t}

t = \frac{364*80}{400*2.5}

t = 29.2

t = 29 days (approx)

Hence option (B) is correct.


6 0
4 years ago
Read 2 more answers
Use f(x) = x^2 + 4x - 12
Mashutka [201]

Answer:

I imagine you aren't using calculus, so:

A: the leading term is 1>0, so it opens upwards.

B. First coordinate of the vertex is -\frac b{2a}=-\frac42=-2, the second coordinate we'll find by replacing the value: f(-2)=(-2)^2+4(-2)-12 = 4-8-12=-16

C. Quadratic formula or if you stare at the equation long enough you can rewrite the equation as  f(x) = (x+6)\times(x-2). At this point the x intercepts are the zeroes of the function, or -6 and 2.

D. The y-intercept is the value of the function at 0, or the constant term: -12

E. The graph has a minimum since the curve opens upwards.

8 0
2 years ago
find the length and width of a rectangle that has an area of 968 square feet and whose perimeter is a minimum
andrezito [222]
The question isn't finished...
3 0
3 years ago
Find both the number of combinations and the number of permutations for the given number of objects.
Nikitich [7]

Answer:

First, if we have a set of K elements, such that are ordered as:

{x₁, x₂, ...}

The total number of permutations for the K elements can be found in the next way.

For the first element in the set, we have K options.

For the second element in the set, we have (K - 1) options (because we already choose one)

For the third element we have (K - 2) options, and so on.

The total number of permutation is equal to the product between the numbers of options for each position's element, then the number of permutations for K elements is:

permutations = K*(K - 1)*(K - 2)*....*2*1 = K!

Now suppose that we have a set of N elements, and we want to make groups of K elements.

The total number of different combinations of K elements is given by the equation:

C(N, K) = \frac{N!}{(N - K)!*K!}

In this case we have 15 objects (then  N = 15) and we take 7 at the time (Then K = 7)

Where we need to take in account the number of combinations and also the permutations for each combination.

Then the total number of different sets is:

C(15*7)*7!

First, the total number of combinations will be:

C(15,7) = \frac{15!}{(15 - 7)!7!} = \frac{15!}{8!*7!}  = \frac{15*14*13*12*11*10*9}{7*6*5*4*3*2*1}  = 6,435

So we have 6,436 combinations, and each one of these combinations has 7! permutations.

permutations = 7! = 7*6*5*4*3*2*1 = 5,040

if we combine these we get:

Combinations*Permutations = 6,435*5,040 = 32,432,400

5 0
3 years ago
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