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Alex73 [517]
3 years ago
14

Please help, I’ve looked everywhere and haven’t found any answers!

Mathematics
1 answer:
Sergio [31]3 years ago
7 0

Answer:

m = 4 + (2n)/(3)

Step-by-step explanation:

Move all terms that contain m to the right side and solve it.

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How many positive integers $n$ from 1 to 5000 satisfy the congruence $n \equiv 5 \pmod{12}$?
irga5000 [103]
The equivalence n \equiv 5 \pmod{12}

means that n-5 is a multiple of 12.

that is

n-5=12k, for some integer k

and so

n=12k+5


for k=-1, n=-12+5=-7

for k= 0, n=0+5=5 (the first positive integer n, is for k=0)


we solve 5000=12k+5 to find the last k

12k=5000-5=4995

k=4995/12=416.25

so check k = 415, 416, 417 to be sure we have the right k:

n=12k+5=12*415+5=4985

n=12k+5=12*416+5=4997

n=12k+5=12*417+5=5009


The last k which produces n<5000 is 416


For all k∈{0, 1, 2, 3, ....416}, n is a positive integer from 1 to 5000,

thus there are 417 integers n satisfying the congruence.


Answer: 417

6 0
3 years ago
Easy question.<br><br> Solve the inequality -5x&lt;40
laiz [17]

\huge\text{Hey there!}

\mathsf{-5x < 40}

\large\text{DIVIDE -5 to BOTH SIDES}

\mathsf{\dfrac{-5x}{-5}

\rm{CANCEL\  out: \dfrac{-5}{-5} \ because\  that \ gives\  you\  1}

\rm{KEEP: \dfrac{40}{-5}\ because \ that \ gives \  you \ what \ you \ are\ comparing}\\\\\rm{to \ the \ x-value}

\mathsf{\dfrac{40}{-5}=\boxed{\bf -8}}

\mathsf{x > -8}

\boxed{\boxed{\large\textsf{Answer: \large \bf x }\bf  > \large\textsf{\bf -8}}}\huge\checkmark

\boxed{\large\textsf{IT is an O(P)(E)(N)(E)(D)   circle shaded to the right}}

\large\text{Good luck on your assignment and enjoy your day!}

~\frak{Amphitrite1040:)}

3 0
3 years ago
Una empresa fabrica dos productos, X y Y. Cada cantidad del articulo X producida requiere dos horas de trabajo en una taladrador
Zarrin [17]

Answer:

la respuesta esta abajo

Step-by-step explanation:

a) Sea x el número del artículo x mientras que y representa el número del artículo y.

Dado que cada cantidad de artículo x requiere 2 horas de trabajo de perforación, mientras que cada cantidad de artículo y requiere 5 horas de trabajo de perforación. Hay un máximo de 40 horas disponibles, por tanto el modelo se da como:

2x + 5y ≤ 40

b) La trama se trazó utilizando la herramienta gráfica en línea de geogebra.

c) Para 10 unidades de X y 5 unidades de y:

2 (10) + 5 (5) = 45> 40

Por lo tanto, esto no sería posible porque requerirá 45 horas de perforación, lo que es más que el máximo de 40 horas disponibles.

8 0
3 years ago
A house painter has an annual income of $35,000 and paid $2,500 in income tax. What percent of her income is the income tax?
almond37 [142]

Answer:

The 7.14% of her income is the income tax .

Step-by-step explanation:

Formula

Percentage = \frac{Part\ value\times 100}{Total\ value}

As given

A house painter has an annual income of $35,000 and paid $2,500 in income tax.

Here

Part value = $2500

Total value = $35000

Put in the formula

Percentage = \frac{2500\times 100}{35000}

Percentage = \frac{250000}{35000}

Percentage = 7.14\ (Approx)

Therefore the 7.14% of her income is the income tax .

3 0
3 years ago
The math department is putting together an order for new calculators. The
alexgriva [62]

Answer:

D

Step-by-step explanation:

5 0
3 years ago
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