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.
Step-by-step explanation:
Question4 is -5
Question5 is Point E
Question6 is True
I assume you want to solve it so start off with the distributive property.
<span> -5 (3w-3)+(6w+1)=0
-15w+15+6w+1=0 *negatives times positives are negative and negatives times negatives are positive*
Combine like terms
-9w+16=0 *Move constants and variables to opposite sides*
-16 -16
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-9w=-16
----- -----
-9 -9
w=16/9
</span>
Answer:
Would it be 37?
Step-by-step explanation:
BODMAS shows that multiplication should be done first before addition so 21+16 equals 37. I’m not sure but this is my best guess
Answer:
Null hypothesis: u = 8.8 liters
Alternative hypothesis: u < 8.8 liters
Step-by-step explanation:
The null hypothesis is always opposite to Tue alternative hypothesis and is the default hypothesis.
In this case study, the null hypothesis is that the average American consumes 8.8 liters of alcohol per year: u = 8.8
The alternative hypothesis is that does the average American consumes less than 8.8 liters of alcohol per year: u < 8.8 liters
