Answer:
Step-by-step explanation:
4(a)
2,1 2,2 2,3 2,4 2,5 2,6
on the first role u have 16.6667%
second would be 33.3333%
Step-by-step explanation:
first a little help, how they got the equations :
in total they need 15 liters.
so, whatever x and y are, but together they must be 15 L.
x + y = 15
then, we are mixing x liters of 20% alcohol with y liters of 100% alcohol, that have to result in a 40% solution of (x+y) liters :
0.2x + y = 0.4(x+y)
we know from the first equation that x+y = 15, so the second equation is actually
0.2x + y = 0.4 × 15 = 6
so, we have
x + y = 15
0.2x + y = 6
do you notice something ? there is a "+ y" in both equations.
so we can actually subtract the second equation from the first, eliminate y and solve for the remaining x. and then use one of the original equating to get also y :
x + y = 15
- 0.2x + y = 6
---------------------
0.8x 0 = 9
0.8x = 9
x = 9/0.8 = 11.25 liters
x + y = 15
11.25 + y = 15
y = 15 - 11.25 = 3.75 liters
Answer:
Ratio as a fraction in simplest form is, 
Step-by-step explanation:
Ratio defined as the relationship between the quantities of something i.e,
a: b = 
Given: 51 correct : 9 incorrect
By definition of ratio:
51 correct : 9 incorrect = 
Divide both numerator and denominator by 3 we get;
then
The ratio as a fraction in simplest form is, 17 correct : 3 incorrect or
Answer:
$24750
Step-by-step explanation:
Given data
Principal= $45000
Time=5 years
Rate= 11%
Let us apply the simple interest expression
SI= PRT/100
substitute
SI= 45000*11*5/100
SI= 2475000/100
SI= $24750
Hence, Craig would have paid $24750
Answer:c
Step-by-step explanation:
