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3 years ago

7. If the value of x varies directly with the value of y, and x = 3 when y = 21. What is the valu

2 answers:

6 0

So basically

When x = 3 , y= 21

3/21 = x/105

What number times 21 is equal to 105?
21* 5 = 105

So 3* 5 = 15

When x= 15, y= 105

Hope this helps!

konstantin123 [22]3 years ago

3 0

Answer:

Step-by-step explanation:

Because x=y÷7

i.e,105÷7=15

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Write the verbal sentence as an algebraic equation.

Dmitry_Shevchenko [17]

Step-by-step explanation:

product=× three=3 a number is unknown =x plus=+ five=5 is=equals to 20

3×x +5=20

3x+5=20

Subtract 5 from both sides

3x+5-5=20-5

3x=15

3x/3=15/3

x=5

6 0

2 years ago

Use Gauss's approach to find the following sums (do not use formulas). 1+3+5+7+...999

muminat

$S=1+3+5+\cdots+995+997+999$
$S=999+997+995+\cdots+5+3+1$
$\implies 2S=(1+999)+(3+997)+(5+995)+\cdots+(995+5)+(997+3)+(999+1)$

$2S=\underbrace{1000+1000+\cdots+1000+1000}_{500\text{ times}}$

(We are adding 500 instances of 1000 because that's how many odd numbers there are between 1 and 1000, inclusive.)

$2S=500\times1000=500000$
$\implies S=250000$

4 0

4 years ago

Justo ayer fue el cumpleaños de Mauricio. Si a la edad e Mauricio, le sumo 13, al resultado le resto 10, luego al nuevo resultad

bezimeni [28]

Answer:

Mauricio nació en el año 2000.

Step-by-step explanation:

Supóngase que el cumpleaños se celebra en el año 2020, si $x$ es la edad actual de Mauricio, entonces la expresión matemática que traduce el enunciado del problema es:

$\frac{(x+13)-10}{23} +20 = 21$

Ahora, se desarrolla y se simplifica la ecuación:

$\frac{x+3}{23}+20 = 21$

$\frac{x+3}{23} = 1$

Se despeja $x$ :

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Mauricio tiene 20 años.

Ahora, el año de nacimiento de Mauricio es la sustracción de la edad de Mauricio del año actual:

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3 0

3 years ago

Billy is playing a game using a bag with 11 marbles inside. The bag contains 3 red, 3 orange, 1 yellow, 2 purple marbles, and 2

Dmitrij [34]

Answer: 3/55

Step-by-step explanation:

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Therefore, the probability he will win a prize on both picks will be:

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4 0

3 years ago

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weqwewe [10]

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4 0

3 years ago

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