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vitfil [10]
2 years ago
12

C) Lautaro y Facundo cuentan sus figuritas. Lautaro tiene el doble de las que tiene Facundo menos 3. Si entre los dos tienen 24

figuritas. ¿Cuántas tiene cada uno?
Mathematics
1 answer:
beks73 [17]2 years ago
7 0

Answer:

Lautaro has 15 figurines and Facundo has 9 figurines.

Step-by-step explanation:

Let's call the number of figurines of Lautaro 'X', and the number of figurines of Facundo 'Y'.

Lautaro has double the figurines of Facundo minus 3, so:

X = 2Y - 3

Together they have 24 figurines, so:

X + Y = 24

Using the value of X in the second equation, we have:

2Y - 3 + Y = 24

3Y = 27

Y = 9

Now, we can calculate X:

X = 2*9 -3 = 18 - 3 = 15

Lautaro has 15 figurines and Facundo has 9 figurines.

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The heights of fully grown sugar maple trees are normally distributed, with a mean of 87.5 feet and a standard deviation of 6.25
Julli [10]

Answer:

20.33%

Step-by-step explanation:

We have that the mean (m) is equal to 87.5, the standard deviation (sd) 6.25 and the sample size (n) = 12

They ask us for P (x <86)

For this, the first thing is to calculate z, which is given by the following equation:

z = (x - m) / (sd / (n ^ 1/2))

We have all these values, replacing we have:

z = (86 - 87.5) / (6.25 / (12 ^ 1/2))

z = -0.83

With the normal distribution table (attached), we have that at that value, the probability is:

P (z <-0.83) = 0.2033

The probability is 20.33%

6 0
2 years ago
In a circle with center C and radius 6, minor arc AB has a length of 4pi. What is the measure, in radians, of central angle ACB?
valina [46]
To solve this problem, we need to know that 
arc length = r &theta;  where &theta; is the central angle in radians.

We're given
r = 6 (units)
length of minor arc AB = 4pi
so we need to calculate the central angle, &theta;
Rearrange equation at the beginning,
&theta; = (arc length) / r = 4pi / 6 = 2pi /3

Answer: the central angle is 2pi/3 radians, or (2pi/3)*(180/pi) degrees = 120 degrees
8 0
2 years ago
Read 2 more answers
Mario, Yoshi, and Toadette play a game of "nonconformity": They each choose rock, paper, or scissors. If two of the three people
andrey2020 [161]

Step-by-step explanation: Hi!

well, the only case where someone wins is if two of them chose the same thing, and the other chose one of the two remaining possibilities.

an useful way of starting this is calculated al the possible combinations of rock, paper and scissors.

we have 3 persons and 3 options, ence the total number of permutations is 3*3*3 = 27

So, the cases where none wins are:

1) the 3 chose the same thing:  there are 3 combinations here, one for each option

2) the 3 chose a different thing: here you think, the first one has 3 possibilities, then the second one must choose a different option, so has 2, and the third one only has 1 remaining option.  so you have 6 combinations.

so there are 6 + 3 = 9 combinations where no one wins, if we want to se the probability, we compute 9/27 = 1/3 = 0.33%.

But the problem ask for it to happen 4 times in a row, so you will have 0.33*0.33*0.33*0.33 = 1/81 chances that this happens

3 0
2 years ago
450x2y5 3,000x4y3 What is the least common multiple (LCM) of these monomials?
ivolga24 [154]
The LCM would be 14.. your textbook would be really helpful
7 0
2 years ago
Lisa says that the indicated angles cannot have the same measure. Marita disagrees and says she can prove that they can have the
AlexFokin [52]
I agree with Marita, that the angles could have the same measure.  This can be proven if you set the two amounts equal and solve for x. 

9x - 25 + x = x + 50 + 2x - 12

To begin, we should combine like terms on both sides of the equation to start simplifying the equation.

10x - 25 = 3x + 38

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7x = 63

Finally, we should divide both sides by 7, to get rid of the coefficient of x.

x = 9

If you plug in 9 for x in our first equation, you get that both of the angle measurements equal 65 degrees.  This means that Marita is correct, because if x = 9, then the angles would have the same measure.


8 0
2 years ago
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