To do this, you'll have to get loris and doris to the same amount of time, we can already tell loris makes 40 bracelets in 100 minutes but we are still missing 20 minutes, so we got to do some math(Ofc we do its mathematics) if you divide 50 by 20 you'll get 2.5 which is how many minutes it takes to make a bracelet. So now we can go back to that missing 20 minutes, if you divide 20 by 2.5, you'll get 8. So in 2 hours loris makes 48 bracelets(20 + 20(50 hours each)=40 + 8(the missing 20 minutes) = 48) But here is the tricky part it says per an hour, so we need to reduce both by half, so loris makes 24 bracelets an hour and doris makes 22 bracelets an hour so loris makes 2 more bracelets and hour than doris... hope i've helped!
Answer:
Step-by-step explanation:
I'll be solving this system of equations using the elimination method since the x and y values are neatly lined up.
I want to get a pair of x's or y's that cancel out, and it looks like the easiest way to start would be by multiplying the first equation by -2 (the y's will cancel).
I chose to multiply the first equation by -2 instead of multiplying the second equation by 5 because -2 is a smaller number and easier to multiply by.
Distribute -2 inside the parentheses. Now you've got:
Add up the equations from top to bottom.
-10x plus x is -9x, the -4y and 4y cancel out, and 16 plus 2 is 18. Make this one single equation.
Divide both sides by -9.
Substitute this value of x into the second equation (less to do with the x since it has no coefficient which means no multiplying).
Add 2 to both sides.
Divide both sides by 4.
The final answer is .
Answer:
Step-by-step explanation:
Given
--- Population
--- those that liked sugar cereals
Required
Probability that three selected like sugar cereals
The probability that the first adult selected likes sugar cereals is:
The probability that the second adult selected likes sugar cereals is:
We subtracted 1 because it is a probability without replacement
Similarly:
The required probability is calculated as follows:
Terms: 3n, 5p, 3, n
Coefficients: 3, 4, 1
Constants: 3
Simplified: 4n+5p+n
Answer:
2root3
Step-by-step explanation:
root27= root 3 x root9
= root3 x 3 -root3
= 3root3-1root3
= 2root3