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Andrei [34K]
3 years ago
5

Put in simplest form 8/15 × 5/6

Mathematics
1 answer:
algol133 years ago
6 0
8/15 x 5/6
•multiply across the numerator and denominator.

= 40/90
• then find a common factor that will go into both the numerator and denominator equally.

Common factor: 5

= 8/18
•there is another common factor, which is 2

Simplified:

=4/9
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A detective has interviewed four witnesses to a crime. From the stories of the witnesses the detective has concluded
SVETLANKA909090 [29]

Answer:

Step-by-step explanation:

Step 1:we should turn the “facts” into logical expressions.

Step 2:Assign variables

Our variables are: b (for butler), c (for cook), g (for gardener), h (for handyman)

Step 3 . Let the value of true indicate that the person is telling the truth. For example, b = T means the butler is telling the truth. Then we can translate the statements as follows:

Check attachment

Step 4

We know all of these must hold. So we really want to know when (b→c)∧¬(c∧g)∧¬(¬g∧¬h)∧(h → ¬c) is true.

Step 5

Behold, another truth table task! If you work out the truth table, you see that this statement is only true when:

Check attachment

Step 6

Therefore we can say the butler and cook are definitely lying, but we can not determine if the gardener or handyman are lying. However, there are four variables in this problem. Instead, we can do this with some straight reasoning. Notice that:

If the butler is telling the truth, then by (a) the cook is telling the truth.

If the cook is telling the truth, then by (b) the gardener is lying.

If the gardener is lying, then by (c) the handyman is telling the truth.

If the handyman is telling the truth, they by (d) the cook is lying.

This leads to a contradiction (the cook can not be both telling the truth and lying)! Therefore the butler and cook must be lying. What about the gardener and the handyman? We don’t have enough information to figure out if they are lying. Since the cook is lying, we can’t use (b) to come to any conclusions about the gardener. Even if we are able to conclude that the gardener is telling the truth, we can’t use (c) to come to any conclusions about the handyman.

4 0
3 years ago
What multiplies to -48 and adds to 13
Morgarella [4.7K]

Answer:

The formula to solve this would be:

X x Y = 13

There are at least two combinations of two numbers that you can multiply together to get 13.

Step-by-step explanation:

4 0
2 years ago
A manufacturer of pickup trucks is required to recall all the trucks manufactured in a given year for the repair of possible def
Crank

Answer: 2%

Step-by-step explanation:

Let A be the event of having defective steering and B be the vent of having defective brake linings.

Given: P(A)  = 0.03  P(B) = 0.05

P(neither A nor B ) = 0.94

Using formula: P(either A nor B) = 1- P(neither A nor B )

= 1-0.94

i.e.  P(either A nor B) =0.06

Using formula:P(A and B) = P(A)+P(B)-P(either A or B)

P(A and B) =0.03+0.05-0.06

= 0.02

Hence, the percentage of the trucks have both defects = 2%

8 0
3 years ago
Given A(-9,-12), B(-2,2), C(x,6) D, "-5,-2)," find the value of x so that AB is parallel to CD
Dima020 [189]

Answer:

hi thanks

Step-by-step explanation:

4 0
3 years ago
Two shops, Tisco and Azda, sell the same brand of baked beans with the following deals.
andreev551 [17]

Answer:

Azda's price is better

Step-by-step explanation:

Tisco

3 for £1.29

12 for £1.29*4= £5.16

Azda

4 for £1.68

12 for £1.68*3= £5.04

Azda offers better price for 12 items

3 0
3 years ago
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