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aniked [119]
2 years ago
13

Joseph, después de hacer compras, piensa de la siguiente forma: "Gasté los 3/5 de lo que no gasté y aún me quedan S/. 60 más de

lo que gasté". ¿Cuántos soles tenía Joseph?
Mathematics
1 answer:
earnstyle [38]2 years ago
7 0

Answer:

Joseph tenía 240 soles

Step-by-step explanation:

Tenemos lo siguiente

Cantidad total = Cantidad gastada + Cantidad restante.

Sabemos que Cantidad gastada = 3/5 Cantidad restante y que Cantidad restante = Cantidad gastada + 60.

Sea x la cantidad gastada e y la cantidad restante. Tenemos las ecuaciones

x = \frac{3}{5}y, y = x+60

Reemplazando la segunda en la primera, tenemos que

x = \frac{3}{5}(x+60)= \frac{3}{5}x + 36 (aquí simplemente distribuímos la multiplicación.

Restando 3/5 x a ambos lados, tenemos que

x-\frac{3}{5}x = \frac{2}{5}x = 36

Multiplicando por 5 y dividiendo por dos ambos lados, tenemos que

x=\frac{5\cdot 36}{2} = 90

Es decir, Joseph gastó 90 soles. Entonces y = 90+60 = 150 soles.

Es decir, en total, Joseph tenía 150+90= 240 soles.

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juin [17]

Answer:

1 ) ∠1 = 105    ∠2 = 75

2) ∠1 = 50     ∠2 = 50

Step-by-step explanation:

4 0
3 years ago
According to a study done by a university​ student, the probability a randomly selected individual will not cover his or her mou
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Complete Question

According to a study done by a university student, the probability a randomly selected individual will not cover his or her mouth when sneezing is 0.267 Suppose you sit on a bench in a mall and observe people's habits as they sneeze

(a) What is the probability that among 18 randomly observed individuals exactly 6 do not cover their mouth when sneezing?

Answer:

P(X=6)=(0.162)

Step-by-step explanation:

From the question we are told that:

Sample size n=18

Probability P=0.267

No. that do not cover their mouth when sneezing x=6

Generally the equation for The Binomial distribution is mathematically given by

Parameters

B(18,0.267)

Therefore

P(X=x)=(18..x)(0.267)^x(1-0.267)^{18-x}

Where

x=6

Therefore

P(X=6)=(18..6)(0.267)^6(1-0.267)^{18-6}

P(X=6)=(0.162)

5 0
2 years ago
Simone invests $2,000 in an account that compounds interest quarterly and earns 9%. How many years will it take for his money to
Anuta_ua [19.1K]

no te puedo contestarte yo no hablo inglés

8 0
2 years ago
If X is an integer and 7< square root of X <8, what is one of the possible values of X?
garri49 [273]
D: x ≥ 0

7 < √x < 8 ⇒ 7² < x < 8² ⇒ 49 < x < 64

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4 0
3 years ago
Which equation has a constant of proportionality equal to 9 y=81/3x y=9x y=3x y==1/9x
aev [14]

Answer:

B)  y = 9 x has Proportionality Constant = 9

Step-by-step explanation:

Two quantities P and Q are said to be PROPORTIONAL if and only if:

P ∝ Q ⇔  P  = k Q    ⇔ k = \frac{P}{Q}

Here, k = PROPORTIONALITY CONSTANT

Given : k = 9

Now, let us consider the given expressions in which  x ∝y

y  = 81/3 x

Here, \frac{y}{x} = \frac{81}{3}  = 27 \ne 9

So, here Proportionality Constant ≠ 9

y = 9 x

Here, \frac{y}{x} =  9

So, here Proportionality Constant = 9

y = 3 x

Here, \frac{y}{x} =  3 \ne 9

So, here Proportionality Constant ≠ 9

y  = 1/9 x

Here, \frac{y}{x} =  \frac{1}{9}  \ne 9

So, here Proportionality Constant ≠ 9

Hence, only y = 9 x has Proportionality Constant = 9

8 0
3 years ago
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