Must show your work and will make brainliest
Answers
Answer:
7/3x + 2/3 = 7/9x - 5/6
7/3x - 7/3x + 2/3 = 7/9x - 7/3x - 5/6 (7/9x-7/3x--->7/9x-21/9x---> -14/9x)
2/3= -14/9x - 5/6
2/3+5/6 = -14/9x - 5/6 + 5/6 - (2/3 + 5/6---> 4/6 + 5/6---> 9/6 ----> 3/2)
3/2 = -14/9x
3/2 / -14/9 = -14/9x / -14/9 - (3/2 / -14/9 ------> 3/2 x -9/14 ----->
- 27/28)
-27/28 = x
Step-by-step explanation:
Related Questions
Simplify using QuotientRule10^12 OVER 10^8
What is the slope of the line shown below (2 2) (4 8) a. 3 b. 1/3 c. -1/3 d. -3
Help please i dont understand
James paddles upstream in a canoe at 2mph (relative to the shore), and when he paddles down-stream, he goes 9mph. Find the speed of the current and the speed James can paddle in still water and come up with an equation.
Answers
Answer: 2X + 3Y = 24 is Y = (-2/3)X + 3.
Step-by-step explanation:
To find the equation of a line parallel to the line 2X+3Y=24 and passing through the point (3,1), we need to follow these steps:
1. First, let's rearrange the equation 2X+3Y=24 into slope-intercept form, which is Y = MX + B, where M is the slope and B is the y-intercept.
2X + 3Y = 24
3Y = -2X + 24
Y = (-2/3)X + 8
2. The given line has a slope of (-2/3). Since the line we want to find is parallel, it will have the same slope. Therefore, the equation of the line passing through (3,1) will also have a slope of (-2/3).
3. Next, we can use the point-slope form of a line to find the equation. The point-slope form is given by:
Y - Y1 = M(X - X1)
where (X1, Y1) is the given point (3,1), and M is the slope (-2/3).
4. Plugging in the values, we have:
Y - 1 = (-2/3)(X - 3)
5. Simplifying the equation further, we get:
Y - 1 = (-2/3)X + 2
6. To obtain the equation in slope-intercept form, we can isolate Y by adding 1 to both sides:
Y = (-2/3)X + 2 + 1
Y = (-2/3)X + 3
Therefore, the equation of the line that passes through the point (3,1) and is parallel to the line 2X + 3Y = 24 is Y = (-2/3)X + 3.
Answers
Gareth has $2,000 to invest. Putting the money in a savings account at his local bank will earn him 2.2% annual interest.
Interest earned in local bank = 2000 * 22.2% = 2000 * 0.022 = 44
Putting the money in an online savings account will earn him 4.85% annual interest
Interest earned in online account = 2000 * 4.85% = 2000 * 0.0485 = 97
He will be charged $3 every time he makes an ATM withdrawal.
In online account, the interest is 97 . If he withdraws 18 times then
Total ATM fee is 18 * 3= 54 . so 97 - 54 = 43
43 is lower than 44 that is interest of local account.
Therefore, 18 ATM withdrawals make local savings account to be a better deal than the online savings account every year.
Answer:
Gareth should make 18 ATM withdrawals every year for better deal.
Step-by-step explanation:
Consider the provided information.
Gareth has $2,000 to invest and local bank will earn him 2.2% annual interest.
The amount earned by local bank is:
The money in an online savings account will earn him 4.85% annual interest, but he will be charged $3 every time he makes an ATM withdrawal.
The amount earned by online account
Savings account has no ATM withdrawal charges but online savings account charge $3.00 per withdrawal.
Let x is the number of times he withdrawal money.
Hence, Gareth should make 18 ATM withdrawals every year for better deal.
Answers
the answer is 600 grams.
i hope that this helps you.
Answers
Answer:
It has a single solution x=-3 y=26
Step-by-step explanation:
The ratios of coefficients of x and y are different, so the pair of equations has one solution. It is easy to tell the first offered solution (15, 17) does not satisfy the first equation, so that choice is eliminated.
Fortunately, the second offered solution, (x, y) = (-3, 26), satisfies both equations.
The equations have a single solution: (x, y) = (-3, 26).
Answer: The equation has a single solution x = -3 , y = 26.
( -3, 26 )
Step-by-step explanation:
3x + y =17 ---------------------(1)
x + 2y = 49 -------------------(2)
Using substitution approach
From (2)
x = 49 - 2y --------------------(3)
Now put (3) in equation (1) and solve.
3(49 - 2y) + y = 17
Open the bracket and solve
3 x 48 - 3 x 2y + y = 17
147 - 6y + y = 17
Gather like terms
-5y = 17 - 147
-5y = -130
Multiple through by (-1)
5y = 130
Divide by 5
y = 130/5
y = 26.
Substitute for y now in equation (3) to get the value of x
3x + y = 17
3x + 26 = 17
3x = 17 - 26
3x = -9
Now , divide by 3
x = -3
The equation had a single solution of x = -3 , y = 26
Chech.
3 x -3 + 26
-9 + 26
= 17
Answers
Answer: S = 3.5
Step-by-step explanation:
We know that congruent means that the sides are equal. Knowing this, we can make an equation to solve for.
We can 2s+11=8s-10.
We can then subtract 2s from both sides, getting 11=6s-10.
We can then add 10 to both sides, getting 21=6s.
Dividing both sides by 6, we get 3.5=S.
Answers
I'm assuming you need to find the solution to this system of equations (where the lines intersect).
We can use the substitution method to solve this system. Take the value of from the second equation and substitute it into the first:
Add to both sides of the new equation:
Now add to both sides of the equation:
Divide both sides by :
Now let's solve for by substituting the known value of
into the first equation:
Simplify using subtraction:
This means our solution is:
Answer:
x = 3, y = 1
Step-by-step explanation:
Solve the following system:
{y = x - 2 | (equation 1)
y = 7 - 2 x | (equation 2)
Express the system in standard form:
{-x + y = -2 | (equation 1)
2 x + y = 7 | (equation 2)
Swap equation 1 with equation 2:
{2 x + y = 7 | (equation 1)
-x + y = -2 | (equation 2)
Add 1/2 × (equation 1) to equation 2:
{2 x + y = 7 | (equation 1)
0 x+(3 y)/2 = 3/2 | (equation 2)
Multiply equation 2 by 2/3:
{2 x + y = 7 | (equation 1)
0 x+y = 1 | (equation 2)
Subtract equation 2 from equation 1:
{2 x+0 y = 6 | (equation 1)
0 x+y = 1 | (equation 2)
Divide equation 1 by 2:
{x+0 y = 3 | (equation 1)
0 x+y = 1 | (equation 2)
Collect results:
Answer: {x = 3, y = 1