Answer:
$4080 / 30days
Step-by-step explanation:
In 7 days, Kendall earns $952
In 1 day, she will earn $952 ÷ 7 = $136
Therefore, the rate (r) at which she earns is $136/day. i.e
r = $136/day ---------------(i)
To write the rate as a fraction with 30 in the denominator, we multiply both the numerator and denominator of equation (i) by 30 as follows;
r = $(136x30) / 30 day
r = $4080/30days
Answer:
x = 1
y = 0
Step-by-step explanation:
You did a great job solving one of the equations for a single variable. You solved for x. But what your paper shows is that...it jind of looks like you were going to substitute the 2y+1 into y. BUT you need to substitute it into x.
-4x + 3y = -4
x = 2y + 1
Fill in 2y + 1 into x in the first equation.
-4(2y+1) + 3y = -4
Now you have an equation in one variable. There are only y's in this equation. Next, distribute.
-8y - 4 + 3y = -4
combine like terms.
-5y - 4 = -4
add 4 to both sides.
-5y = 0
divide by -5
y = 0
It's okay that it cam out to be zero. Its fine!
y=0
Put it back in one of the original equations to find x.
x = 2y + 1
x = 2(0) + 1
x = 1
The solution is
x=1
y=0
You can write this as an ordered pair.
(1,0)
It's gonna be a long problem: Remember PEMDAS
3n-5=8(6+5n)
3n-5= 48 + 40n Distribute 8 into parenthesis
3n-3n-5=48+40n-3n Put variable on one side.
-5-48=48-48+37n Isolate the variable
-43/37=37n/37 Isolate variable more
-1.162=n Simplify
The answer is repeating; that is a shortened version.
8 and 28 is 4 i think i’m not 1000% sure i tried
Answer:
![\boxed{Hypotenuse = 50}](https://tex.z-dn.net/?f=%20%5Cboxed%7BHypotenuse%20%3D%2050%7D%20)
Step-by-step explanation:
By applying <em>Pythagoras theorem</em> we can find hypotenuse of a right angle triangle.
Side of right angle triangle (a) = 48 cm
Side of right angle triangle (b) = 14 cm
Hypotenuse² = a² × b²
![{Hypotenuse}^{2} = {48}^{2} \times {14}^{2} \\ \\ {Hypotenuse}^{2} = 2304 + 196 \\ \\ {Hypotenuse}^{2} = 2500 \\ \\ {Hypotenuse}^{ \cancel{2}} = {50}^{ \cancel{2}} \\ \\ Hypotenuse = 50](https://tex.z-dn.net/?f=%20%7BHypotenuse%7D%5E%7B2%7D%20%20%3D%20%20%7B48%7D%5E%7B2%7D%20%20%5Ctimes%20%20%7B14%7D%5E%7B2%7D%20%20%5C%5C%20%20%5C%5C%20%20%7BHypotenuse%7D%5E%7B2%7D%20%20%3D%202304%20%2B%20196%20%5C%5C%20%20%5C%5C%20%20%7BHypotenuse%7D%5E%7B2%7D%20%20%3D%202500%20%5C%5C%20%20%5C%5C%20%20%7BHypotenuse%7D%5E%7B%20%5Ccancel%7B2%7D%7D%20%20%3D%20%20%7B50%7D%5E%7B%20%5Ccancel%7B2%7D%7D%20%20%5C%5C%20%20%5C%5C%20%20%20Hypotenuse%20%3D%2050)