Answer:
Weight of the solution = 250 grams
Step-by-step explanation:
1) Consider the weight of solution as x grams.
32 % solution = 80 grams salt
32% of x = 80
(32/100)*x = 80
Solving for x:
x = (80*100) / 32
x = 250 grams
11/12 + 1 3/4=
1 3/4 = 7/4 = 21/12
11/12 + 21/12 = 32/12 = 2 8/12 = 2 2/3 oz
Reduce all of the mutiple choices
A. 4/3 . It is greater than 3/4. 4/3 as a decimal is 1.333. 3/4= 0.75
B. 12/12. 12/12=1. 1 is greater than 3/4
C. 9/16. Cannot reduce the fraction.
D. 12/16 divide by 4 for the numerator and denominator. 12/4=3 , 16/4= 4
Answer: D. 12/16
Answer:
a)148.47
b)148.34
Step-by-step explanation:
Let π(x) be the prime-counting function that gives the number of primes less than or equal to x, for any real number x. For example, π(7) = 4 because there are four prime numbers (2, 3, 5, 7) less than or equal to 7.
We can see that π(7)=π(10) because there are four prime numbers (2,3,5,7) less than or equal to 10.
A good aproximation for π(x) is x / log x, where log x is the natural logarithm of x.
a)The number of primes between 1 and 1030.
1030/log(1030)=148.47
b) The number of primes between 1 and 1029.
1029/log(1029)=148.34
Extra: π(1029)=π(1030) because 1030 is not a prime.
Answer:
Step-by-step explanation:
y*1/x
y=k/x where k is the constant of variation
when y=7, x=-4
7=k/-4
k=-28
when x=5
y=-28/5
note: * is used as symbol of variation
