Join the growing community of curious minds on IDNLearn.com. Ask anything and receive immediate, well-informed answers from our dedicated community of experts.
Sagot :
Claro, vamos a resolver la tabla de conversiones y las ecuaciones paso a paso.
### Tabla de Conversiones
#### Convertir las unidades de medida
1. [tex]$7.95 \, hm$[/tex] a [tex]$Mm$[/tex]:
[tex]\[ 1 \, hm = 0.1 \, Mm \][/tex]
[tex]\[ 7.95 \, hm \times 0.1 \, Mm/hm = 0.795 \, Mm \][/tex]
Entonces, [tex]\( 7.95 \, hm = 0.795 \, Mm \)[/tex].
2. [tex]$95 \, dm$[/tex] a [tex]$dam$[/tex]:
[tex]\[ 1 \, dm = 0.01 \, dam \][/tex]
[tex]\[ 95 \, dm \times 0.01 \, dam/dm = 0.95 \, dam \][/tex]
Entonces, [tex]\( 95 \, dm = 0.95 \, dam \)[/tex].
3. [tex]$0.9 \, mam$[/tex] a [tex]$mm$[/tex]:
[tex]\[ 1 \, mam = 1000 \, mm \][/tex]
[tex]\[ 0.9 \, mam \times 1000 \, mm/mam = 900 \, mm \][/tex]
Entonces, [tex]\( 0.9 \, mam = 900 \, mm \)[/tex].
4. [tex]$954 \, mm$[/tex] a [tex]$Dam$[/tex]:
[tex]\[ 1 \, mm = 0.0001 \, Dam \][/tex]
[tex]\[ 954 \, mm \times 0.0001 \, Dam/mm = 0.0954 \, Dam \][/tex]
Entonces, [tex]\( 954 \, mm = 0.0954 \, Dam \)[/tex].
5. [tex]$12 \, km$[/tex] a [tex]$dm$[/tex]:
[tex]\[ 1 \, km = 10000 \, dm \][/tex]
[tex]\[ 12 \, km \times 10000 \, dm/km = 120,000 \, dm \][/tex]
Entonces, [tex]\( 12 \, km = 120,000 \, dm \)[/tex].
6. [tex]$96 \, m$[/tex] a [tex]$dn$[/tex]:
[tex]\[ 1 \, m = 0.1 \, dn \][/tex]
[tex]\[ 96 \, m \times 0.1 \, dn/m = 9.6 \, dn \][/tex]
Entonces, [tex]\( 96 \, m = 9.6 \, dn \)[/tex].
7. [tex]$9.45 \, ham$[/tex] a [tex]$Mm$[/tex]:
[tex]\[ 1 \, ham = 0.01 \, Mm \][/tex]
[tex]\[ 9.45 \, ham \times 0.01 \, Mm/ham = 0.0945 \, Mm \][/tex]
Entonces, [tex]\( 9.45 \, ham = 0.0945 \, Mm \)[/tex].
8. [tex]$34 \, cm$[/tex] a [tex]$m$[/tex]:
[tex]\[ 1 \, cm = 0.01 \, m \][/tex]
[tex]\[ 34 \, cm \times 0.01 \, m/cm = 0.34 \, m \][/tex]
Entonces, [tex]\( 34 \, cm = 0.34 \, m \)[/tex].
### Tabla Completa
[tex]\[ \begin{array}{|l|l|} \hline 7.95 \, hm & 0.795 \, Mm \\ \hline 95 \, dm & 0.95 \, dam \\ \hline 0.9 \, mam & 900 \, mm \\ \hline 954 \, mm & 0.0954 \, Dam \\ \hline 12 \, km & 120,000 \, dm \\ \hline 96 \, m & 9.6 \, dn \\ \hline 9.45 \, ham & 0.0945 \, Mm \\ \hline 34 \, cm & 0.34 \, m \\ \hline \end{array} \][/tex]
### Resolución de Ecuaciones
1. Ecuación A:
[tex]\[ x - (2x + 1) = 8 - (3x + 3) \][/tex]
Simplificando:
[tex]\[ x - 2x - 1 = 8 - 3x - 3 \][/tex]
[tex]\[ -x - 1 = 5 - 3x \][/tex]
[tex]\[ -x + 3x = 5 + 1 \][/tex]
[tex]\[ 2x = 6 \][/tex]
[tex]\[ x = 3 \][/tex]
2. Ecuación B:
[tex]\[ 15x - 10 = 6x - (x + 2) + (-x + 3) \][/tex]
Simplificando:
[tex]\[ 15x - 10 = 6x - x - 2 - x + 3 \][/tex]
[tex]\[ 15x - 10 = 4x + 1 \][/tex]
[tex]\[ 15x - 4x = 11 \][/tex]
[tex]\[ 11x = 11 \][/tex]
[tex]\[ x = 1 \][/tex]
3. Ecuación C:
[tex]\[ (5 - 3x) - (-4x + 6) = (8x + 11) - (3x - 6) \][/tex]
Simplificando:
[tex]\[ 5 - 3x + 4x - 6 = 8x + 11 - 3x + 6 \][/tex]
[tex]\[ 5 - 6 + x = 8x + 11 - 3x + 6 \][/tex]
[tex]\[ x - 1 = 5x + 17 \][/tex]
[tex]\[ x - 5x = 17 + 1 \][/tex]
[tex]\[ -4x = 18 \][/tex]
[tex]\[ x = -\frac{18}{4} \][/tex]
[tex]\[ x = -4.5 \][/tex]
4. Ecuación D:
[tex]\[ 3x + [-5x - (x + 3)] = 8x + (-5x - 9) \][/tex]
Simplificando:
[tex]\[ 3x + [-5x - x - 3] = 8x - 5x - 9 \][/tex]
[tex]\[ 3x - 6x - 3 = 3x - 9 \][/tex]
[tex]\[ -3x - 3 = 3x - 9 \][/tex]
[tex]\[ -3x - 3x = -9 + 3 \][/tex]
[tex]\[ -6x = -6 \][/tex]
[tex]\[ x = 1 \][/tex]
5. Ecuación E:
[tex]\[ 5x = 8x - 15 \][/tex]
Simplificando:
[tex]\[ 5x - 8x = -15 \][/tex]
[tex]\[ -3x = -15 \][/tex]
[tex]\[ x = 5 \][/tex]
Entonces, las soluciones son las siguientes:
- A) [tex]\( x = 3 \)[/tex]
- B) [tex]\( x = 1 \)[/tex]
- C) [tex]\( x = -4.5 \)[/tex]
- D) [tex]\( x = 1 \)[/tex]
- E) [tex]\( x = 5 \)[/tex]
### Tabla de Conversiones
#### Convertir las unidades de medida
1. [tex]$7.95 \, hm$[/tex] a [tex]$Mm$[/tex]:
[tex]\[ 1 \, hm = 0.1 \, Mm \][/tex]
[tex]\[ 7.95 \, hm \times 0.1 \, Mm/hm = 0.795 \, Mm \][/tex]
Entonces, [tex]\( 7.95 \, hm = 0.795 \, Mm \)[/tex].
2. [tex]$95 \, dm$[/tex] a [tex]$dam$[/tex]:
[tex]\[ 1 \, dm = 0.01 \, dam \][/tex]
[tex]\[ 95 \, dm \times 0.01 \, dam/dm = 0.95 \, dam \][/tex]
Entonces, [tex]\( 95 \, dm = 0.95 \, dam \)[/tex].
3. [tex]$0.9 \, mam$[/tex] a [tex]$mm$[/tex]:
[tex]\[ 1 \, mam = 1000 \, mm \][/tex]
[tex]\[ 0.9 \, mam \times 1000 \, mm/mam = 900 \, mm \][/tex]
Entonces, [tex]\( 0.9 \, mam = 900 \, mm \)[/tex].
4. [tex]$954 \, mm$[/tex] a [tex]$Dam$[/tex]:
[tex]\[ 1 \, mm = 0.0001 \, Dam \][/tex]
[tex]\[ 954 \, mm \times 0.0001 \, Dam/mm = 0.0954 \, Dam \][/tex]
Entonces, [tex]\( 954 \, mm = 0.0954 \, Dam \)[/tex].
5. [tex]$12 \, km$[/tex] a [tex]$dm$[/tex]:
[tex]\[ 1 \, km = 10000 \, dm \][/tex]
[tex]\[ 12 \, km \times 10000 \, dm/km = 120,000 \, dm \][/tex]
Entonces, [tex]\( 12 \, km = 120,000 \, dm \)[/tex].
6. [tex]$96 \, m$[/tex] a [tex]$dn$[/tex]:
[tex]\[ 1 \, m = 0.1 \, dn \][/tex]
[tex]\[ 96 \, m \times 0.1 \, dn/m = 9.6 \, dn \][/tex]
Entonces, [tex]\( 96 \, m = 9.6 \, dn \)[/tex].
7. [tex]$9.45 \, ham$[/tex] a [tex]$Mm$[/tex]:
[tex]\[ 1 \, ham = 0.01 \, Mm \][/tex]
[tex]\[ 9.45 \, ham \times 0.01 \, Mm/ham = 0.0945 \, Mm \][/tex]
Entonces, [tex]\( 9.45 \, ham = 0.0945 \, Mm \)[/tex].
8. [tex]$34 \, cm$[/tex] a [tex]$m$[/tex]:
[tex]\[ 1 \, cm = 0.01 \, m \][/tex]
[tex]\[ 34 \, cm \times 0.01 \, m/cm = 0.34 \, m \][/tex]
Entonces, [tex]\( 34 \, cm = 0.34 \, m \)[/tex].
### Tabla Completa
[tex]\[ \begin{array}{|l|l|} \hline 7.95 \, hm & 0.795 \, Mm \\ \hline 95 \, dm & 0.95 \, dam \\ \hline 0.9 \, mam & 900 \, mm \\ \hline 954 \, mm & 0.0954 \, Dam \\ \hline 12 \, km & 120,000 \, dm \\ \hline 96 \, m & 9.6 \, dn \\ \hline 9.45 \, ham & 0.0945 \, Mm \\ \hline 34 \, cm & 0.34 \, m \\ \hline \end{array} \][/tex]
### Resolución de Ecuaciones
1. Ecuación A:
[tex]\[ x - (2x + 1) = 8 - (3x + 3) \][/tex]
Simplificando:
[tex]\[ x - 2x - 1 = 8 - 3x - 3 \][/tex]
[tex]\[ -x - 1 = 5 - 3x \][/tex]
[tex]\[ -x + 3x = 5 + 1 \][/tex]
[tex]\[ 2x = 6 \][/tex]
[tex]\[ x = 3 \][/tex]
2. Ecuación B:
[tex]\[ 15x - 10 = 6x - (x + 2) + (-x + 3) \][/tex]
Simplificando:
[tex]\[ 15x - 10 = 6x - x - 2 - x + 3 \][/tex]
[tex]\[ 15x - 10 = 4x + 1 \][/tex]
[tex]\[ 15x - 4x = 11 \][/tex]
[tex]\[ 11x = 11 \][/tex]
[tex]\[ x = 1 \][/tex]
3. Ecuación C:
[tex]\[ (5 - 3x) - (-4x + 6) = (8x + 11) - (3x - 6) \][/tex]
Simplificando:
[tex]\[ 5 - 3x + 4x - 6 = 8x + 11 - 3x + 6 \][/tex]
[tex]\[ 5 - 6 + x = 8x + 11 - 3x + 6 \][/tex]
[tex]\[ x - 1 = 5x + 17 \][/tex]
[tex]\[ x - 5x = 17 + 1 \][/tex]
[tex]\[ -4x = 18 \][/tex]
[tex]\[ x = -\frac{18}{4} \][/tex]
[tex]\[ x = -4.5 \][/tex]
4. Ecuación D:
[tex]\[ 3x + [-5x - (x + 3)] = 8x + (-5x - 9) \][/tex]
Simplificando:
[tex]\[ 3x + [-5x - x - 3] = 8x - 5x - 9 \][/tex]
[tex]\[ 3x - 6x - 3 = 3x - 9 \][/tex]
[tex]\[ -3x - 3 = 3x - 9 \][/tex]
[tex]\[ -3x - 3x = -9 + 3 \][/tex]
[tex]\[ -6x = -6 \][/tex]
[tex]\[ x = 1 \][/tex]
5. Ecuación E:
[tex]\[ 5x = 8x - 15 \][/tex]
Simplificando:
[tex]\[ 5x - 8x = -15 \][/tex]
[tex]\[ -3x = -15 \][/tex]
[tex]\[ x = 5 \][/tex]
Entonces, las soluciones son las siguientes:
- A) [tex]\( x = 3 \)[/tex]
- B) [tex]\( x = 1 \)[/tex]
- C) [tex]\( x = -4.5 \)[/tex]
- D) [tex]\( x = 1 \)[/tex]
- E) [tex]\( x = 5 \)[/tex]
We appreciate your participation in this forum. Keep exploring, asking questions, and sharing your insights with the community. Together, we can find the best solutions. Trust IDNLearn.com for all your queries. We appreciate your visit and hope to assist you again soon.
