What slope would make these lines parallel
2 answers:
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ANSWER
Find out the how many 3, 4, and 5 point questions could there be.
To proof
Let us assume that the 3 points based question be = x
Let us assume that the 4 points based question be = y
Let us assume that the 5 points based question be = z
As given
An instructor wants to write a test with 25 questions
than the equation become in the form
x + y + z = 25
he quiz to be worth a total of 100 points.
than the equation is becomes
3x + 4y + 5z =100
As given
He wants the number of 3-point questions to be 4 less than the number of 4-point questions
x = y -4
Than the three equation are
x + y + z = 25 ,3x + 4y + 5z =100 and x = y -4
put x = y -4 in the x + y + z = 25 ,3x + 4y + 5z =100
than
2y + z = 29, 7y +5z= 112
multiply 2y + z = 29 by 5 and subtracted 7y +5z= 112
10 y -7y + 5y -5y = 145 -112
3y = 33
y =11
put in the x = y -4
x = 11-4
x= 7
put the value of x ,y in the x + y + z = 25
7 + 11 +z =25
18 +z = 25
z = 25 -18
z=7
therefore
numbers of the 3 point question be = 7
numbers of the 4 point question be = 11
numbers of the 5 point question be = 7
Hence proved
Answer:
Amount of input horsepower needed is 279.3 hp.
Step-by-step explanation:
if there is a loss of power of 5% the base horsepower will need to be increased by same percentage so that same amount of power can be delivered.
Now to calculate 5% of 266 hp, we can write
266 × = 13.3 hp
Now to deliver same amount of power we will have to add 5% of 266 hp to its actual power.
So real base power which is needed to deliver 266hp output even at a loss of 5% will be = (266+13.3) hp = 279.3 hp
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