Answer:
x-intercept is (40/7, 0) and y-intercept is (0, 5)
Step-by-step explanation:
x-intercept ==> y-coordinate is 0 ==> y=0
y-intercept ==> x-coordinate is 0 ==> x=0
because the function is 7x + 8y = 40
when y = 0 ==> 7x = 40 ==> x = 40/7
so the x-intercept is (40/7, 0)
when x = 0 ==> 8y = 40 ==> y = 5
so the y-intercept is (0,5)
The number of members that prefers geometry are 54members
Given the total number of people in the math club = 120 members
Let algebra + arithmetic + geometry = 100%
20 + 35 + geometry = 100
55 + geometry = 100
geometry = 100 - 55
geometry = 45%
This shows that the percentage of the member of the club that prefers geometry is 45%
Number of member that prefer geometry = 45% * 120
Number of members that prefer geometry 0.45 * 120
Number of members that prefers geometry = 54 members
Hence the number of members that prefers geometry are 54members
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The probability that it rains everyday is 0.000729
Forecast for rain = 30%
Since it's a 6 days vacation, the probability that it rains every day will be:
= 30% × 30% × 30% × 30% × 30% × 30%
= 0.3 × 0.3 × 0.3 × 0.3 × 0.3 × 0.3
= 0.000729
Therefore, the probability is 0.000729
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24 minutes. Assuming that 2 people who will repair a refrigerator equally fast will do it twice as fast when working together:
Jannete repairs 1/60 refrigerator per minute.
Lisa repairs 1/40 refrigerator per minute.
Togheter they repair 1/60+1/40= 1/60 + 1,5/60 = 2,5/60=5/120=1/24 refrigerator per minute
thus it will take them 24 minutes
