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2 years ago

In a sale, normal prices are reduced by 10%.

1 answer:

4 0

You do 54/x = 90%/100. As prices are reduced by 10%, 54 is 90% of the original number. After cross multiplying you get 5400=0.9x. Which turns into 6000. Adding the decimal point back on you get £60.00.

So the original price of the shoes is £60.00.

Checking: all you have to do is take 10% of 60, which is 6 and subtract 6 from 60 to get 54. Thus, 60 is your answer.

Hope this helps!

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Find all real numbers $s$ such that $-2(s - 7) > 4s + 8$. Give your answer in interval notation.

Stolb23 [73]

Answer:

$s\in (-\infty,1)$

Step-by-step explanation:

Solve the inequality $-2(s - 7) > 4s + 8$

Use distributive property:

$-2s+14>4s+8$

Subtract 4s:

$-2s+14-4s>4s+8-4s\\ \\-6s+14>8$

Subtract 14:

$-6s+14-14>8-14\\ \\-6s>-6$

Divide by -6 (do not forget to change sign, because division by negative number changes the sign):

$s$

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3 years ago

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Sergio039 [100]

Answer:

16 cm2

Step-by-step explanation:

By equa tion of area of triangle: S = 1/2 * height * base

Triangle B: 32 = 1/2 * 8 * x --> x = 8 (cm)

The base of triangle A is half of the base of triangle B so it is 4 cm.

The area of triangle A = 1/2 * 8 * 4 = 16 (cm2)

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2 years ago

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3 years ago

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Can someone help me understand Inverses for algerbra???

Anna007 [38]

Answer:

An inverse function is a function that undoes the action of the another function. A function g is the inverse of a function f if whenever y=f(x) then x=g(y). In other words, applying f and then g is the same thing as doing nothing. We can write this in terms of the composition of f and g as g(f(x))=x.

Step-by-step explanation:

The inverse function returns the original value for which a function gave the output. ... A function that consists of its inverse fetches the original value.

Example : f(x) = 2x + 5 = y. Then, g(y) = (y-5)/2 = x is the inverse of f(x).

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2 years ago

The probability that a civil servant own a car is 1/6,if two civil servants are selected at random.find the probability that

Elodia [21]

Answer:

The data we have is:

the probability that a civil servant own a car is 1/6

Two civil servants are selected at random.

a) The probability that each own a car.

Ok, here we have two events:

Person 1 haves a car.

Person 2 haves a car.

The probability of each of those events is the same, 1/6.

P1 = 1/6

P2 = 1/6

Now, the probability of both events happening at the same time is equal to the product of the individual probabilities.

P = P1*P2 = (1/6)*(1/6) = 1/36.

b) Only one has a car.

Suppose that Person 1 has the car and Person 2 has not a car.

The probability for person 1 is 1/6.

And for person 2, is the negation of having a car:

So if we have prob of having a car = 1/6

Then the probability of not having a car is = 1 - 1/6 = 5/6.

Then we have:

P1 = 1/6

P2 = 5/6.

The joint probability is:

P = P1*P2 = (1/6)*(5/6) = 5/36.

But we also have the case where person 1 does not have a car, and person 2 does have one, then we have a permutation, and the actual probability is two times the obtained above.

P = 2*(5/36) = 10/36

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2 years ago