Answer:
200 questions on the final exam.
Step-by-step explanation:
38% = 76 questions, 100% = 2.63157894737 x 76 = 200
(100/38=2.63157894737 hence this is the answer)
Answer:
20/3 pounds of coffee that costs $12 per pound and 40/3 pounds of coffee that costs $9 per pound are required
Step-by-step explanation:
Let x be the amount of coffee that costs $12 per pound
Cost of x amount of this type coffee = 12x
We are supposed to find How much of each should be used to produce 20 pounds of the new blend that costs $10 per pound
So, Amount of coffee required that costs $9 per pound = 20-x
Cost of (20-x) amount of this type of coffee = 9(20-x)
So, 
Amount of coffee that costs $12 per pound required is
Amount of coffee that costs $9 per pound required = 20-x=
Hence 20/3 pounds of coffee that costs $12 per pound and 40/3 pounds of coffee that costs $9 per pound are required
To prove that <span>ΔABC ≅ ΔMQR using SAS, we show that two sides with the intersection angle are congruent.
From the diagram, it is shown that CA is congruent to RM.
From the first option, given that </span>m∠A = 64° and AB = MQ = 31 cm, then we have CA = RM, AB = MQ, and CAB = RMQ (i.e. m∠A = <span>m∠M = 64°). </span>
This shows that the first option is correct.
From the second option, given that CB = MQ = 29 cm, then we have CA = RM, <span>CB = MQ, but ACB is not congruent to RMQ.
Thus the second option in not correct.
From the third option, </span>m∠Q = 56° and CB ≅ RQ, then we have CA = RM, CB = RQ, ACB = 60<span>°, but we do not know the value of MRQ.
Thus the third option is not correct.
From the fourth option, </span>m∠R = 60° and AB ≅ MQ, then we have <span>CA = RM, AB = MQ, RMQ = </span>64<span>°, but we do not know the value of CAB.
Thus the fourth option is not correct.
From the fifth option</span>, <span>AB = QR = 31 cm, then we have </span><span>CA = RM, </span><span>AB = QR, but we do not know the value of CAB or MRQ.
Thus, the fifth option is not correct.
Therefore, the additional information that </span><span>could be used to prove ΔABC ≅ ΔMQR using SAS is </span><span>m∠A = 64° and AB = MQ = 31 cm</span>
Answer:
1/2 of 4/5 = 1/2 of four fifths = two fifths
Step-by-step explanation:
1/2 x 4/5 = 4/10
4/10 simplified is 2/5
4 divided by 2 = 2
---- ----
10 divided by 2= 5
This is a arithmetic sequence, so all we need to do is subtract the numbers and find the common difference.
40 - 24 = 16
56 - 40 = 16
72 - 56 = 16
Therefore, the common difference is 16.
Best of Luck!
