Answer:
There are 80 marks in total.
Step-by-step explanation:
Let the number of total marks be
.
The percentage score of the student can be written as the ratio
.
However,
.
Equating the two:
.
Cross-multiply (that is: multiple both sides by
, the product of the two denominators) to get
.
.
In other words, there are 80 marks in total.
Slope formula m = (y2-y1) / (x2 - x1)
m = (1 - 6) / 7 - 1)
m = -5 / 6
Slope or parallel lines are the same
Slope = -5/6
Answer:
56 gallons
Step-by-step explanation:
When her gas tank is full, she has x gallons in the tank.
when she went to the gas station, she had (5/8) of x gallons of gas in her tank. she added 21 gallons into her tank, then she had x gallons in her tank.
(5/8)x + 21 = x
subtract x and 21 from both sides
(5/8)x - x = -21
factor out an x from the left side
x(5/8 - 1) = -21
simplify the parenthesis
x(-3/8) = -21
multiply both sides by -8/3
x= 56 gallons
Answer:
This contradict of the chain rule.
Step-by-step explanation:
The given functions are
It is given that,
According to chin rule,
It means,
is differentiable if f(g(c)) and g(c) is differentiable at x=c.
Here g(x) is not differentiable at x=0 but both compositions are differentiable, which is a contradiction of the chain rule
Answer:
4
km
Step-by-step explanation:
To find how much farther Hallie biked after lunch compared to the amount she biked before lunch, we can subtract the amounts:
6 
However, we can only subtract fractions that have the same denominator, so we need to convert
to a fraction with a denominator of 8:

Now, we can't subtract 2 from 8, so we need to 'borrow' from the 6 to make the fraction larger:

Now subtract: 