50 quarts of 5% butterfat and 1% butterfat milk are to be mixed.
<u>SOLUTION:
</u>
First, I will set up my table. I will fill in the unknowns with variables x and y.
The table is attached below
From the table attached below, we can easily set up the two equations.
<em>Sum of values of two milks = Value of mixture </em>
0.05x + 0.01y = 3
For convenience, we'll multiply the entire equation by 100,
5 x + y = 300 ------> (1)
Now, Sum of amounts of each acid = Amount of mixture
x + y = 100 ---------> (2)
Subtracting equation (2) from (1),
( + ) 5 x + y = 300
( − ) x - y = 100
− − − − − − − −
( = ) 4x + 0y = 200
Thus, 4x = 200
x = 50
Substituting x = 50 in (2),
( 50 ) + y = 100
y = 100 – 50 = 50
hence, 50 quarts of 5% butterfat and 1% butterfat milk are to be mixed.
Answer:
1. 23/20 miles, 2. 7/20 miles
Step-by-step explanation:
1. Total distance = 3/4 + 2/5
= (3*5)/(4*5) + (2*4)/(5*4)
= 15/20 + 8/20
= 23/20
= 1 3/20 miles
2. Difference between walked miles and jogged miles = 3/4 - 2/5
= 15/20 - 8/20
= 7/20 miles
Vertical Asymptotes:
x=0
x=0
Horizontal Asymptotes:
y=0
y=0
No Oblique Asymptotes
Answer:
I do not agree because Mario's claim is not general.
Step-by-step explanation:
Prime numbers: These are a set of numbers that are divisible by 1 and itself only. Examples are: 2, 3, 5, 7. 11 etc.
And a denominator is the divisor in a given fraction.
Considering the following fractions whose denominators are prime numbers:
= 0.66666666...
= 0.142857142
= 0.45454545...
= 0.23076923
= 0.142857142
It could be observed that Mario's claim is not a general principle which is applicable to all fractions with a prime denominator. Thus, I do not agree with his claim.
Answer:
-10-(-6) = -10+6 = -4; A
Step-by-step explanation: