Part A
Answers:
x+y = 125
x = y+45
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Explanation:
The first equation represents Angela playing both sports a combined 125 minutes. We simply add the variables x and y to represent adding the times for soccer (x) and golf (y).
Because she plays soccer 45 minutes more compared to golf, we also have the equation x = y+45.
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Part B
Answer: 40 minutes
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Explanation:
The second equation from part A says x = y+45
Because of this, we'll replace the 'x' in the first equation with y+45 and solve for y. I'm using the substitution rule.
So,
x+y = 125
y+45+y = 125 .... replace x with y+45
2y+45 = 125
2y = 125-45
2y = 80
y = 80/2
y = 40 minutes is the amount of time playing golf per day.
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Part C
Answer: No it's not possible.
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Explanation:
We found that y = 40 earlier. Let's used this to find x
x = y+45
x = 40+45
x = 85
Therefore, Angela spends 85 minutes playing soccer everyday. It's close to 80 minutes, but not quite there. So it's not possible that she spent 80 minutes playing soccer everyday.
Another way to show this is to say x+y = 80+40 = 120 which is five minutes short of the 125 minute goal.
Answer:
0.821, 84%, 7/8
Step-by-step explanation:
So, first, you have to convert them all to the same form. We'll be using decimals.
7/8= 0.875
84%= 0.84
0.821
Now, just put them in order and use the original form in your final answer.
0.821, 0.84, 0.875
<span>The common factors of 36 and 48 are 1, 2, 3, 4, 6, and 12
36-</span><span>1,2,3,4,6,9,12,18,36
48-</span><span>1, 2, 3, 4, 6, 8, 12, 16, 24, 48</span>
Answer:
The equation of the axis of symmetry is equal to
Step-by-step explanation:
we have
This is the equation of a vertical parabola written in vertex form open upward (because the leading coefficient is positive)
The vertex represent a minimum
The axis of symmetry is equal to the x-coordinate of the vertex
we have that
The vertex is the point (10,-6)
The x-coordinate of the vertex is 10
therefore
The equation of the axis of symmetry is equal to
Let x be the first number:
1st number: = x
2nd consecutive multiple of 6 = x+6
3rd consecutive multiple of 6 = x+12
4rth consecutive multiple of 6 = x+18
Their sum = 156 → x+(x+6)+(x+12)+(x+18) = 156
4x +30 = 156
4x = 120 and x = 30
The numbers are: 30,36,42,48
