The translation of the given sentence into an equation is: 7(b + 3) = 1.
<h3>How to Translate a Sentence into an Equation?</h3>
Variables can be used to represent an unknown quantity when translating statements into equation. The word "times" is represented as or means "×" (multiplication). "Sum" means addition as well.
Thus, the sentence given can be translated as shown below:
The unknown number is represented as variable b.
"The sum of a number (b) and 3" would be translated as: b + 3.
"Seven (7) times the sum of a number and 3 (b + 3)" would therefore be: 7(b + 3).
Therefore, translating the whole sentence into an equation, we would have:
7(b + 3) = 1.
Thus, the translation of the given sentence into an equation is: 7(b + 3) = 1.
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Answer:
Step-by-step explanation:
Number of adults = a
Number of children = c
Total people = 430
a + c = 430 --------------(I)
Total amount =$890
3a + c =890 -----------(II)
Multiply equation (I) by (-1)
(I)*(-1) -a - c = -430
(II) <u>3a + c = 890</u> {Now add and thus c will be eliminated}
2a = 460
a = 460/2
a= 230
Plug in the value of a in equation (I)
230 + c = 430
c = 430 - 230
c = 200
Number of adults = 230
Number of children = 200
5x=15
X=3
2(3)+y=5
Y= -1
(3,-1)
For this case we must solve the following quadratic equation:
If we divide both sides of the equation by 3 we have:
The solutions will come from:
Where:
Substituting:
The roots are:
ANswer:
