Answer:
5
Step-by-step explanation:
because 4/5=0.8
and 5×0.8 = 4
Answer:
ox=-7
Step-by-step explanation:
Move all terms to the left side and set equal to zero. Then set each factor equal to zero.
x
=
4
,
−
7
All the correct answers of the equations using order of operations are;
B. 8⋅7 ÷ 2 − 12 = 22 − 2⋅3
C. 48 ÷ 8 + 2³ = 5 + 3²
<h3>How to use order of operations?</h3>
The rule used for order of operations is PEMDAS and it states that the order of operation starts with the calculation enclosed in brackets or the parentheses first. Exponents (degrees or square roots) are then operated on, followed by multiplication and division operations, and then addition and subtraction.
Using the PEMDAS rule, the solutions would be as follows:
A. 9² − 7² = 20 ÷ (7 − 2)
81 - 49 = 20 ÷ 5
32 = 4
Thus, this is not true.
B. 8⋅7 ÷ 2 − 12 = 22 − 2⋅3
56 ÷ 2 − 12 = 22 - 6
28 - 12 = 16
16 = 16
Thus, this is true.
C. 48 ÷ 8 + 2³ = 5 + 3²
6 + 2³ = 5 + 9
6 + 8 = 14
14 = 14
Thus, this is true.
D. 150 ÷ 5² = 30 − 4² − 12
150 ÷ 25 = 30 − 16 − 12
6 = 30 - 28
6 = 2
Thus, this is not true.
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Complete question is;
Which equations are true equations? Select all correct answers.
A. 9² − 7² = 20 ÷ (7 − 2)
B. 8⋅7 ÷ 2 − 12 = 22 − 2⋅3
C. 48 ÷ 8 + 2³ = 5 + 3²
D. 150 ÷ 5² = 30 − 4² − 12
<h3>
Answer: Q = 8</h3>
====================================================
Explanation:
The left hand side of the first equation is x-3y
The left hand side of the second equation is 2x-6y = 2(x-3y). Note how it's simply double of the first expression x-3y
If we multiply both sides of the first equation by 2, we get
x-3y = 4
2(x-3y) = 2*4
2x-6y = 8
Meaning that 2x-6y = 8 is equivalent to x-3y = 4. Both produce the same line leading to infinitely many solutions. Each solution will lay along the line x-3y = 4.
We can say each solution is in the set {(x,y): x-3y = 4}
Which is the same as saying each solution is of the form (3y+4,y)
The factors illustrate they the sides of the rectangles are:
- (x - 1)(x - 2)
- (2x - 3)(x + 2)
<h3>How to get the factors?</h3>
The first equation given is x² - 3x + 2.
= x² - 3x + 2.
= x² - x - 2x + 2
= x(x - 1) - 2(x - 1)
= (x - 1)(x - 2)
Therefore, the side lengths are (x - 1) and (x - 2).
In the rectangular figure, the length and width should be the expressions above.
The second equation given is 2x² + x - 6.
= 2x² + x - 6.
= 2x² + 4x - 3x - 6
= 2x(x + 2) - 3(x + 2)
= (2x - 3)(x + 2)
Therefore, the side lengths are (2x - 3) and (x + 2).
In the rectangular figure, the length and width should be the expressions above.
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