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Margarita [4]
3 years ago
5

Las edades de Luisa y Maria suman 20 años. Dentro de 15 años, la edad de Maria será dos tercios de la de Luisa. ¿Cuales son sus

edades?
Mathematics
1 answer:
Setler79 [48]3 years ago
6 0

Answer:

La edad de Luisa es 15  años

La edad de María es 5 años

Step-by-step explanation:

que la edad de María sea x

ii) deja que la edad de Luisa sea

iii) Se da que x + y = 20.

iv) después de 15 años, la edad de María será 2/3 de la de Luisa.

Por lo tanto, podemos decir que x + 15 = 2/3 (y + 15)

Por lo tanto, 3x + 45 = 2y + 30

Por lo tanto 2y - 3x = 15

v) Si multiplicamos la ecuación en iii) por 3 obtenemos 3x + 3y = 60

vi) si sumamos la ecuación en v) a la ecuación en iv) obtenemos 5y = 75.

vii) Por lo tanto, la edad de Luisa = 15  años

viii) sustituyendo la edad de Luisa en la ecuación de iii) obtenemos x = 20 - 15 = 5.

ix) Por lo tanto, la edad de María es 5 años

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sergeinik [125]

Answer:

The minimum score required for an A grade is 83.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 72.3 and a standard deviation of 8.

This means that \mu = 72.3, \sigma = 8

Find the minimum score required for an A grade.

This is the 100 - 9 = 91th percentile, which is X when Z has a pvalue of 0.91, so X when Z = 1.34.

Z = \frac{X - \mu}{\sigma}

1.34 = \frac{X - 72.3}{8}

X - 72.3 = 1.34*8

X = 83

The minimum score required for an A grade is 83.

5 0
2 years ago
Can you help me with this​
Anit [1.1K]

Answer:

12 only.

Step-by-step explanation:

When the question is asking for f(0), it is asking for the value of <em>y </em>when x = 0.

We see that there is only 1 intersection at x = 0, and the y value would equal 12.

Therefore, our answer is 12 only.

8 0
3 years ago
Read 2 more answers
What is the measure of the secant DE?
ladessa [460]
Using the formula (AB +BC) *BC = (DE +CD) *CD

fill i n what is known:

(17 + 4) *4 = (DE +6) *6

21*4 = (DE +6)*6

84 = (DE+6)*6

84/6 = DE+6

14 = DE +6

DE = 14-6
DE = 8
4 0
3 years ago
What is the square root of 1232348 x 2453
katovenus [111]

54981.35 is the square root

7 0
2 years ago
1.
Margarita [4]

Answer:

The ball throw into the air with an initial velocity of 22 meters per second is 27.4 meters above the ground after 3 seconds.

Step-by-step explanation:

The quadratic function h(t) = -4.9t^2 + 22t + 5.5 represents the height of the ball above the ground, h(t), in meters, with respect to time, t, in seconds.

To find h(3), substitute t = 3 into the function expression:

h(3)=-4.9\cdot 3^2+22\cdot 3+5.5\\ \\=-4.9\cdot 9+66+5.5\\ \\=-44.1+71.5\\ \\=27.4

Meaning: the ball throw into the air with an initial velocity of 22 meters per second is 27.4 meters above the ground after 3 seconds.

5 0
3 years ago
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