Respuesta :
1. x÷4=-7
2. 7/8x=63
3. -3x+8=20
4. x÷5-11=-13
5. 2x-27=-1
6. 0.05x+9=16
7. 16-x=-3
8. 2.5x-17=48
9. 0.32x+10=26
10. (x-7)÷5=2
11.
12.-7x (squared)
2. 7/8x=63
3. -3x+8=20
4. x÷5-11=-13
5. 2x-27=-1
6. 0.05x+9=16
7. 16-x=-3
8. 2.5x-17=48
9. 0.32x+10=26
10. (x-7)÷5=2
11.
12.-7x (squared)
Answer:
To represent each statement in form of an equation, we just have to remember that "the number" refers to the variable, the unknown quantity.
1. "The quotient of a number and 4 is -7."
[tex]\frac{x}{-7}=4\\x=4(-7)=-28[/tex]
2. "Seven-eights of a number is 63."
[tex]\frac{7}{8}x=63\\ x=\frac{63(8)}{7}=72[/tex]
3. "The product of a number and -3, increased by 8, is 20."
[tex]-3x+8=20\\-3x=20-8\\x=\frac{12}{-3}=-4[/tex]
4. "Eleven subtracted from the quotient of a number and five is -13."
[tex]\frac{x}{5} -11=-13\\\frac{x}{5}=-13+11\\x=5(-2)=-10[/tex]
5. "Twenty-seven less than twice a number is -1."
[tex]2x-27=-1\\2x=-1+27\\x=\frac{26}{2}=13[/tex]
6."The sum of 5% of a number and 9 is 16."
[tex]0.05x+9=16\\0.05x=16-9\\x=\frac{7}{0.05}=140[/tex]
7. "A number subtracted from 16 is -3."
[tex]16-x=-3\\16+3=x\\x=19[/tex]
8. "The difference between five-halves of a number and 17 is 48."
[tex]\frac{5}{2}x-17=48\\ \frac{5}{2}x=48+17\\x=\frac{65(2)}{5}=26[/tex]
9. "Ten more than 32% of a number is 26."
[tex]0.32x+10=26\\0.32x=26-10\\x=\frac{16}{0.32}=50[/tex]
10. "Seven less than a number, divided by 5, is -2."
[tex]\frac{x-7}{5} =-2\\x-7=-10\\x=-10+7\\x=-3[/tex]
11. "The quotient of a number increased by 13 and -7 is -4."
[tex]\frac{x+13}{-7}=-4 \\x+13=28\\x=28-13\\x=15[/tex]
12. "The product of -7 and a number squared is -28."
[tex]-7x^{2} =-28\\x^{2}=\frac{-28}{-7}\\x^{2} =4\\x=\±2[/tex]
