The answer: " x = 68, y = 72 " .
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Explanation:
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46 + (x - 3) + (y - 3) = 180 .
46 + 1(x - 3) + 1(y-3) = 180 .
46 + 1x - 3 + 1y - 3 = 180 .
46 - 3 - 3 + 1x + 1y = 180 .
40 + x + y = 180 ;
Subtract "40" from EACH SIDE of the equation:
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40 + x + y - 40 = 180 - 40 ;
to get:
x + y = 140 ;
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Now:
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65 = (x - 3) ;
↔ x - 3 = 65 ;
Add "3" to EACH SIDE of the equation;
x - 3 + 3 = 65 + 3 ;
to get:
x = 68 .
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Now:
Since: "x + y = 140" ;
Let us plug in our known value, "68" ; for "x" ;
to solve for "y" ;
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x + y = 140 ;
68 + y = 140 ;
↔ y + 68 = 140 ;
Subtract "68" from EACH SIDE of the equation; to isolate "y" on one side of the equation; and to solve for "y" ;
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y + 68 - 68 = 140 = 68 ;
y = 72 .
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So, solve for "x" and "y".
x = 68, y = 72 .
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Answer:
1. x > 4
2. m < 2
3. x > 2
4. x < -6
Step-by-step explanation:
These 4 inequalities will be solved the same way we solve equations. We take variables to one side and numbers to another and use algebra to solve. Each of them are solved shown below:
1.
so x is greater than 4, we can write (variable first):
x > 4
2.
so m is less than 2, we can write:
m < 2
3.
so x is greater than 2, we can write:
x > 2
4.
so x is less than -6, we can write:
x < -6
Answer: He can mow 4 lawns before he needs to buy more gasoline.
Step-by-step explanation:
Hi, to answer this question we have to analyze the information given:
- <em>Gallons of gasoline available: 2/3
</em>
- <em>Gallons of gasoline used for mow a lawn: 1/6
</em>
So, to find the number of lawn that he can mow, we have to divide the gasoline available (2/3) by the amount used for mow a single lawn (1/6)
Mathematically speaking:
2/3 ÷1/6 = (2x6) / (3x1) = 12/3=4
He can mow 4 lawns before he needs to buy more gasoline.
Answer:
A. 45 and 135
Step-by-step explanation:
Recall: two angles on a straight line forms a linear pair. The pair sum up to 180°.
Thus:
✔️c° + 3c° = 180°
4c = 180
Divide both sides by 4
4c/4 = 180/4
c = 45°
✔️3c = 3(45) (substitution)
= 135°
The answer is 3 becuase you have to find the answer
