Answer:
2) The number is 4, 3) The number is 36, 4) The number is 16, 5) The number is 32, 6) The consecutive numbers are 14 and 15, 7) The solution of this system is: [tex]x = 17[/tex], [tex]y = 13[/tex], 8) The solution of this system is: [tex]x = 58[/tex], [tex]y = 60[/tex].
Step-by-step explanation:
Now we proceed to solve arithmetically on each statement:
2) Statement is incorrect, correct form is: Find [tex]x[/tex] if the product of [tex]x[/tex] by 12 is 48.
Mathematically speaking, we have the following formula:
[tex]12\cdot x = 48[/tex]
[tex]x = 4[/tex]
The number is 4.
3) Mathematically speaking, we have the following formula:
[tex]\frac{3\cdot x}{6} = 18[/tex]
[tex]\frac{x}{2} = 18[/tex]
[tex]x = 36[/tex]
The number is 36.
4) Mathematically speaking, we have the following formula:
[tex]\frac{5\cdot x}{4} = 20[/tex]
[tex]x = 16[/tex]
The number is 16.
5) Mathematically speaking, we have the following formula:
[tex]\frac{x}{2} = 16[/tex]
[tex]x = 32[/tex]
The number is 32.
6) Let be [tex]n[/tex] and [tex]n + 1[/tex], whose sum equals 29. Mathematically speaking, we have the following formula:
[tex]n + (n +1) = 29[/tex]
[tex]2\cdot n + 1 = 29[/tex]
[tex]n = 14[/tex]
The consecutive numbers are 14 and 15.
7) Let be [tex]x[/tex] and [tex]y[/tex] the quantities of pink and yellow roses. Mathematically speaking, we have the following system of linear equations:
[tex]x - y = 4[/tex] (1)
[tex]x + y = 30[/tex] (2)
The solution of this system is: [tex]x = 17[/tex], [tex]y = 13[/tex]
8) Let be [tex]x[/tex] and [tex]y[/tex] the numbers of grade 6 and grade 3. Mathematically speaking, we have the following system of linear equations:
[tex]x-y = -2[/tex] (3)
[tex]y = 60[/tex] (4)
The solution of this system is: [tex]x = 58[/tex], [tex]y = 60[/tex]
