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Norma-Jean [14]
2 years ago
12

For which value or values are the expressions 15 k+9 and 3(2k+3)+9k

Mathematics
1 answer:
wolverine [178]2 years ago
5 0

Answer:

3(5k+3), 6k+9+27k

Step-by-step explanation:

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a fox a coyote and a wolf weigh a total of 120 pounds the ratio of the weight of fox to the weight of coyote is 3:8 the weight o
ira [324]
There is not enough information to calculate this. 

<span>Knowing the weight ratio of the fox to coyote as 3:8 in no way allows you to know the respective ratio of the wolf. To know the weight of the wolf would require knowing its ratio value, then the weights of all 3 is an easy calculation. </span>
<span>Example - 3:8:15 (f:c:w) is a plausible ratio based upon real-world weight averages for certain species/subspecies of the three. </span>
<span>- knowing the values of the 3 terms as 3:8:15 gives a total of 3+8+15 = 26 ratio values </span>
<span>- you then simply divide the total weight by this ratio value total; 120/26 = 4.62 </span>
<span>- so each ratio value is 4.62 units of weight*** </span>
<span>- now, simply calculate the weight of each canid by multiplying its ratio value by the unit of weight... </span>
<span>fox; 3 x 4.62 = 13.86 </span>
<span>coyote; 8 x 4.62 = 36.96 </span>
<span>wolf; 15 x 4.62 = 69.3 </span>
<span>Validate the ratios by adding the weights together (we should get 120) 13.86 + 36.96 + 69.3 = 120.12 </span>
<span>The total is slightly out because that 4.62 figure was a rounding up. </span>

<span>Now, the thing is, there is nothing given that allows us to know exactly what ratio value the wolf should be, I chose 15 myself because that is a real-world plausible value when compared to 3:8 for the other 2. Changing it to 16, say, means that there are now 27 ratio values total giving a ratio value of 120/27 = 4.44 obviously changing the weights of all 3.</span>
5 0
3 years ago
Write the sum and the expression in standard form. <br><br><br><br> − − 11 and the opposite of −11
Kobotan [32]

Answer:

Step-by-step explanation:

There are no categorical antonyms for eleven. The numeral eleven is defined as: The cardinal number occurring after ten and before twelve.

7 0
2 years ago
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
2 years ago
On a Saturday, a library checked out 52 books. If 24 of the books were fiction , what is the ratio if non-fiction books to ficti
vekshin1
I would guess 28 to 24
4 0
2 years ago
Read 2 more answers
A) Dati cinci exemple de numere intregi mai mici ca zero.​
12345 [234]

Answer:

Numerele întregi pozitive sunt toate numerele întregi mai mari decât zero: 1, 2, 3, 4, 5, .... Numere întregi negative sunt toate opusele acestor numere întregi: -1, -2, -3, -4, -5, .... Nu considerăm că zero este un număr pozitiv sau negativ. Pentru fiecare număr întreg pozitiv, există un număr întreg negativ, iar acești numere întregi se numesc opuse. De exemplu, -3 este opusul lui 3, -21 este opusul lui 21 și 8 este opusul lui -8. Dacă un număr întreg este mai mare decât zero, spunem că semnul său este pozitiv. Dacă un număr întreg este mai mic decât zero, spunem că semnul său este negativ.

Step-by-step explanation:

4 0
2 years ago
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