Answer:
y = 60
Step-by-step explanation:
From the information we get:
x quantity of 4 dollars coffee used in the mix
y quantity of 7 dollars coffee used in the mix
For the quantity of coffee to be sold a 7 $/pound ( 90 pounds)
Then 6*90 = 540 $
Therefore
x + y = 90 and
4*x + 7*y = 540
A two equations system we solve for x and y
y = 90 - x
4*x + 7* ( 90 - x ) = 540
4*x + 630 - 7*x = 540
- 3*x = - 90
x = 30 pounds and
y = 90 - 30
y = 60
We should use 60 pounds of the seven $ coffee
Answer:
Simple random sampling
Step-by-step explanation:
In this example, the teacher takes a random 40-student sample from the whole population of students. The fact that the students are alphabetically order does not interfere in the sampling process since students are picked at random. Therefore, the teacher applied the simple random sampling method.
This method provides an unbiased representation of the population.
John's father is 5 times older than John
F = 5J
John is twice as old as his sister Alice.
J = 2A or A = .5J
In two years time, the sum of their ages will be
58.F+2 + J+2 + A+2 = 58F + J + A + 6 = 58
F + J + A = 58 - 6
F + J + A = 52:
How old is John now?:Substitute for F & A
5J + J + .5J = 52
6.5J = 52
J = 52/6.5
<span>J = 8 yrs
John is 8 years old</span>
Answer:
Relatively prime numbers have a GCF of 1. The numbers 38 and 40 have a GCF of 2, so they are not relatively prime.
Step-by-step explanation:
When you say that two numbers are relatively prime, it means that both numbers do not have a common factor except 1. Stephen is incorrect because 38 and 40 are both multiples of 2.