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Anuta_ua [19.1K]
3 years ago
11

What is -6.1 as a fraction​

Mathematics
1 answer:
yKpoI14uk [10]3 years ago
5 0

-6.1

make -6.1 into a mixed number first

-6.1= -6 1/10

1 zero because the number after the decimal point

-6 1/10

make the mixed number into an improper fraction

multiply the whole number with the denominator

-60 . Add 1 with -60

-60+-1

-60-1

=-61

Answer:

-61/10

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Lillian and Jacob work at a dry cleaners ironing shirts. Lillian can iron 25 shirts per hour, and Jacob can iron 20 shirts per h
vladimir1956 [14]

Answer:

Lillian worked 7h and Jacob worked 6h

Step-by-step explanation:

the number of hours Lillian worked are x (h)

the number of  hours Jacob worked are y (h)

                 (0 < x,y < 13)

=> Lilian ironed: 25x (shirts)

    Jacob ỉroned: 20y (shirts)

because Lillian and Jacob worked a combined 13 hours and ironed 295 shirts, we have:

\left \{ {{x+y=13} \atop {25x+20y=295}} \right. => \left \{ {{x=7} \atop {y=6}} \right.

so Lillian worked 7h and Jacob worked 6h

8 0
2 years ago
Mrs. Nestler enjoys listening to classical music. She has the following audio CDs by her favorite composers in her collection: 4
ivolga24 [154]

Answer:

10.55% probability

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

The order in which the CDs are chosen is not important. So we use the combinations formula to solve this question.

1 Bach CD, from a set of 4.

1 Beethoven CD, from a set of 6.

1 Brahms CD, from a set of 3.

1 Handel CD, from a set of 2.

So, D=144

4 CDs from a set of 4+6+3+2 = 15.

So, T= 1365

p= D/T= 144/1365 = 0.1055

10.55% probability that she will choose one by each composer

4 0
3 years ago
I have a lot of questions to ask on mathematics...<br>so pls help so fast<br>thnx a lot...​
melomori [17]

Answer:

WHAT DO YOU need help with

8 0
3 years ago
If f(x)=x^3-x+2, then (f^-1)'(2)
yawa3891 [41]

Note that f(x) as given is <em>not</em> invertible. By definition of inverse function,

f\left(f^{-1}(x)\right) = x

\implies f^{-1}(x)^3 - f^{-1}(x) + 2 = x

which is a cubic polynomial in f^{-1}(x) with three distinct roots, so we could have three possible inverses, each valid over a subset of the domain of f(x).

Choose one of these inverses by restricting the domain of f(x) accordingly. Since a polynomial is monotonic between its extrema, we can determine where f(x) has its critical/turning points, then split the real line at these points.

f'(x) = 3x² - 1 = 0   ⇒   x = ±1/√3

So, we have three subsets over which f(x) can be considered invertible.

• (-∞, -1/√3)

• (-1/√3, 1/√3)

• (1/√3, ∞)

By the inverse function theorem,

\left(f^{-1}\right)'(b) = \dfrac1{f'(a)}

where f(a) = b.

Solve f(x) = 2 for x :

x³ - x + 2 = 2

x³ - x = 0

x (x² - 1) = 0

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

x = 0   or   x = 1   or   x = -1

Then \left(f^{-1}\right)'(2) can be one of

• 1/f'(-1) = 1/2, if we restrict to (-∞, -1/√3);

• 1/f'(0) = -1, if we restrict to (-1/√3, 1/√3); or

• 1/f'(1) = 1/2, if we restrict to (1/√3, ∞)

6 0
2 years ago
If the legs of a right triangle are x, (2x - 1) and its hypotenuse is (2x + 1), what is the value of x?​
Ber [7]

Answer:

x=8

Step-by-step explanation:

(2x + 1)² = x² + (2x - 1)² = x² + (2x - 1)(2x - 1)

(2x + 1)(2x + 1) = x² + 4x²-2x-2x+1

4x²+2x+2x+1 = 5x²-4x+1

4x²+4x+1 = 5x²-4x+1

0= 5x²-4x²-4x-4x+1-1

0= x²-8x

x²-8x=0

x²=8x

x=8

3 0
3 years ago
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