Correlated means that they relate so probably this might help
D , the answer is "six less than a number b"
If you follow the steps of PEMDAS it should be Multiply by 3,subtract 2.
Answer:77
Step-by-step explanation:
Least Common Multiple of 7 and 11 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7 and 11, than apply into the LCM equation.
GCF(7,11) = 1
LCM(7,11) = ( 7 × 11) / 1
LCM(7,11) = 77 / 1
LCM(7,11) = 77
Least Common Multiple (LCM) of 7 and 11 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 7 and 11. First we will calculate the prime factors of 7 and 11.
Prime Factorization of 7
Prime factors of 7 are 7. Prime factorization of 7 in exponential form is:
7 = 71
Prime Factorization of 11
Prime factors of 11 are 11. Prime factorization of 11 in exponential form is:
11 = 111
Now multiplying the highest exponent prime factors to calculate the LCM of 7 and 11.
LCM(7,11) = 71 × 111
LCM(7,11) = 77
The grocer wants to make a 10 pound mixture
p - pounds of peanuts
c - pounds of cashews
therefore the total pounds should be equal to 10 pounds
p + c = 10 -----> 1)
the cost for ;
peanuts - 4.00 per pound * p pounds = 4p
cashews - 6.50 per pound * c pounds = 6.5c
the price of 10 pounds mixture = 4.75 per pound * 10 pounds = 47.5
4p+6.5c = 47.5 ---> 2)
to solve for p and c lets use simultaneous equations
p + c = 10 -----> 1)
4p+6.5c = 47.5 ---> 2)
multiply 1st equation by 4
4p + 4c = 40 ---> 3)
subtract 3rd equation from the 2nd
2.5c = 7.5
c = 3
substituting c= 3 in 1st equation
p+c = 10
p+3 = 10
p = 7
therefore 3 pounds of cashews and 7 pounds of peanuts are needed to make the mixture
