1.) y=3
2.) y=13
2y + y = 3y , 22+17= 39
3y = 39 , divide 3 on each side (which cancels out the 3 with the y which leaves you with y)
3.) y=10
3y - y = 2y , 35-15= 20
2y=20 , do the same as # 2.
4.) y=4
9y - 5y = 4y , 48-32= 16
4y=16, do the same as #2 & #3
5.) (4,5)
x + 3y = 19
2x - 3y = -7
solve for x first ; x + 2x= 3x , 19-7 = 12; 3x = 12 ; divide 3 ; x= 4. You know have to make the x's cancel out. so I will multiply -2 on the first equation. -2(x+3y=19)
-2x - 6y = -38
2x - 3y = -7
Now solve for y ; -6y + -3y = -9y , -38 + -7 = -45; -9y=-45 ; divide by -9 (since they are both negative your answer will be positive) ; y= 5
6.) (6,8)
x + 4y = 38
-x - 3y = -30
solve for y first ; 4y - 3y = y , 38-30 = 8; y=8 (that simple!) Now you need to find a common multiple for 4 & 3 which is 12. So you will have to multiply each equation by either 4 or 3.
(x + 4y = 38)*3 = 3x + 12y = 114
(-x - 3y = -30)*4 = -4x - 12y = -120
solve for x ; 3x - 4x = -x , 114-120= -6 ; -x=-6. Since the x has a negative that means there's still a 1 there so -1x=-6 ; you will need to divide this which makes the 6 a positive; x=6
Answer: One fourth of the entire trip.
Step-by-step explanation:
The initial distance is D.
" He fell asleep halfway home."
Then he fells asleep when the distance between his actual position and his house was half of D, or:
D/2.
"He didn't wake up until he still had half as far to go as he had already
gone while asleep."
So he wakes up when his actual position is a fourth of the initial distance:
(D/2)/2 = D/4.
Then if the entire trip has a distance D, and he was sleeping between:
D/2 - D/4 = 2D/4 - D/4 = D/4.
in a trip of a distance D, he was asleep a distance of D/4.
Then, returning to the question:
How much of the entire trip home was Samuel asleep?
This is equal to the quotient between the distance that he travels asleep and the total distance:
r = (D/4)/D = 1/4.
Then he was asleep in 1/4 of the entire trip.
Answer:

Step-by-step explanation:
Given

Required
The standard form of the polynomial
The general form of a polynomial is

Where k is a constant and the terms are arranged from biggest to smallest exponents
We start by rearranging the given polynomial

Given that the highest exponent of x is 5;
Let n = 5
Then we fix in the missing terms in terms of n

Substitute 5 for n


Hence, the standard form of the given polynomial is 
His annual salary as a pharmacist is $51,200
There are a total of 52 weeks in an year.
(a) Weekly salary = annual salary/ number of weeks = 51,200/52 = $984.62 (rounded to the nearest cent)
Howard's weekly salary to the nearest cent = $984.62
(b) His salary in first three weeks = 984.62*3 = $2,953.85
Howard's earnings during the first three weeks to the nearest cent = $2,953.85
(c) He has to pay the agency 40% of his three week salary which is = 0.4*2953.85 =1,181.54
Howard must pay to the employment agency to the nearest dollar = $1,182
First to solve this problem you are going to figure out how tall the tree is. So if Sharon is 54 inches and the tree 5 times the height she is you would do 54*5= 270. Next you go to find out how tall the floor of her tree house is. It says the floor is twice the height of her so you would do 54*2=108. Then the problem asks the difference between the top of the tree and the floor of the tree house. So 270-108=162. I hope this helped. :) Brainliest answer?