Answer:
5 1/3 hours.
Step-by-step explanation:
Ashley prepares 1 bag in 2/3 minutes.
One friend takes 2/3 + 3/4 * 2/3 = 7/6 minutes to make 1 bag.
4 of her friends can make 1 bag in 7/6 * 1/4 = 7/24 minutes.
If it takes x minutes for Ashley and 4 friends to make one bag then we have:
1 / 2/3 + 1 / 7/24 = 1 / x
3/2 + 24/7 = 1/x
Multiply through by 14x:
21x + 48x = 14
x = 14/69 minutes.
So the time to make 1575 bags = 1575 * 14/69
= 320 minutes.
When multiplying variables with exponents, all you have to do is to add the exponents and that’s the ‘product.’
So;
(3y^10)(2y^2) is equal to (3)(2)(y^10+2).
6y^12/8y^5
When dividing exponents, you do the opposite and subtract the exponents. And you divide the whole number by half.
6y^12/8y^5 = 3y^7/4
Answer: Yes, I agree. $10 will be withdrawn every Friday, resulting in the $100 she deposited being completely gone after 10 withdrawals.
Step-by-step explanation: You will want to find the amount of money being taken from the $100 withdrawal first. Turn the percent into a decimal, which should result to 0.10. Take this decimal and multiply it with 100 to get the amount of money being taken out of the account each week, which should be $10. I would go about answering this by multiplying the $10 by the amount of 10 withdrawals. This would result in 100. This answers the question because we are trying to see if 10 withdrawals will completely deplete the $100 in the account.
Answer:
Step-by-step explanation:
f(x,y)=10-x^2-y^2
To find derivative of z w.r.t. x is treat any other variable as a constant.
dz/dx=0-2x-0
dz/dx=-2x
Evaluating this at (7,-3) gives us dz/dx=-2(7)=-14.
Since this result is negative, it mrans as x increases z decreases.
f(x,y)=10-x^2-y^2
To find derivative of z w.r.t. y is treat any other variable as a constant.
dz/dx=0-0-2y
dz/dx=-2y
Evaluating this at (7,-3) gives us dz/dy=-2(-3)=6.
Since this result is positive it mrans as y increases z decreases.
DH B forms a triangle.
H = 180 - 33-46 = 101
X = 180 -101 = 79 degrees.
