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3 years ago

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Un alumno multiplica un número por 32 en lugar de multiplicarlo por 23, obteniendo un producto mayor en 54 al producto original.

Halla la suma de cifras del producto original

1 answer:

romanna [79]3 years ago

5 0

Answer:

La suma de cifras del producto original es igual a 12.

Step-by-step explanation:

De acuerdo a la información proporcionada, si multiplicas un número "x" por 32 su resultado sería igual al producto original "y" más 54 dado que dice que se obtiene un producto mayor en 54 al producto original, lo que se puede expresar de la siguiente forma:

32x=y+54

Además, se puede inferir a partir del enunciado que si el número x se hubiera multiplicado por 23 el resultado habría sido el producto original que lo denominamos como "y", por lo que puedes decir que:

y=23x

Ahora puedes reemplazar y=23x en 32x=y+54 y despejar x:

32x=23x+54

32x-23x=54

9x=54

x=54/9

x=6

Finalmente, puedes reemplazar el valor de x en y=23x:

y=23x

y=23*6

y=138

Suma de cifras: 1+3+8 = 12

De acuerdo a esto, la respuesta es que la suma de cifras es igual a 12.

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The Lakewood Wildcats won 5 out of their first seven games in this year. There are 28 games in the season. About how many games

allochka39001 [22]

Answer:

The total number of matches expected to be won by Lakewood Wildcats in this season is 20.

Step-by-step explanation:

The number of games played by Lakewood Wildcats = 7

Number of matches won by Lakewood = 5

or, the ratio of Won : Played = 5: 7

Total numbers of games in the season = 28

Let the Lakewood Wildcats win m number of games.

Here, ratio of Won Matches : Played Matches = m : 28

Now, by RATIO OF PROPORTIONALITY:

$\frac{5}{7} = \frac{m}{28}$

⇒ $m = \frac{28 \times 5}{7} = 20$

or, m = 20

Hence, the total number of matches expected to be won by Lakewood Wildcats out of total 28 matches is 20.

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3 years ago

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Phoenix [80]

Answer:

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Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Use substitution to solve the following system of linear equations and fill in the following blanks:

marissa [1.9K]

Answer:

$x=-4$

$y=3$

$z=-5$

Step-by-step explanation:

<u>Given:</u>

$x+y+z=-6$

$x-6y-7z=-29$

$-7y-5z=4$

<u>Solve for </u> $x$ <u> in the 1st equation:</u>

$x+y+z=-6$

$x+y=-z-6$

$x=-y-z-6$

<u>Substitute the value of </u> $x$ <u> into the 2nd equation and solve for </u> $z$ <u>:</u>

$x-6y-7z=-29$

$(-y-z-6)-6y-7=-29$

$-7y-z-13=-29$

$-7y-z=-16$

$-z=-16+7y$

$z=16-7y$

<u>Substitute the value of </u> $z$ <u> into the 3rd equation and solve for </u> $y$ <u>:</u>

$-7y-5z=4$

$-7y-5(16-7y)=4$

$-7y-80+35y=4$

$28y-80=4$

$28y=84$

$y=3$

<u>Plug </u> $y=3$ <u> into the solved expression for </u> $z$ <u> and evaluate to solve for </u> $z$ <u>:</u>

$z=16-7(3)$

$z=16-21$

$z=-5$

<u>Plug </u> $z=-5$ <u> into the solved expression for </u> $x$ <u> and evaluate to solve for </u> $x$ <u>:</u>

$x=-(3)-(-5)-6$

$x=-3+5-6$

$x=2-6$

$x=-4$

Therefore:

$x=-4$

$y=3$

$z=-5$

6 0

3 years ago

The figure shown has a parallelogram on top and a rectangle below it:

Verdich [7]

Area of a parallelogram = b×h
= 13.4×48.2
= 645.88 inches square
Area of rectangle = l×b
=7.3×48.2
= 351.86
Area of the figure = (b×h) + (l×b)
=645.88+351.86
= 997.74 inches square
Therefore, the answer is option C

5 0

3 years ago

Please help please help please help please help please help please help please help please help

german

Answer:

11x + y = 25

Step-by-step explanation:

Start with y = mx + b

Slope is -11, so m = -11

Point is (2, 3), so we plug that back in to get the intercept.

3 = -11 * 2 + b

3 = -22 + b

b = 25

y = -11x + 25

11x + y = 25 in standard form.

3 0

3 years ago