Step-by-step explanation:
you know by using the x and y coordinates of the point in the equations and see, if both equations are still true.
if yes, it was a solution, and if just only one is false, then it was not a solution.
(3, -2) in
y + 4x = 10
5x - y = 13
so,
-2 + 4×3 = 10
-2 + 12 = 10
10 = 10 true
5×3 - (-2) = 13
15 + 2 = 13
17 = 13 false
so, it was NOT a solution.
Answer:
$40
Step-by-step explanation:
x is the original price of the gift
(10% of x) is the value of the discount
(10% of x) = 10/100 . x = 0.1 x
0.1 x is the value of the discount
x - (10% of x) is what was paid, after the discount
x - 0.1 x = 0.9 x
0.9 x is what was paid
4 children paid $9/each
4 times $9 = $36
$36 is the total amount that was paid by the children
$36 = 0.9 x
$36 / 0.9 = x
x = $36 / 0.9 = 360 / 9
x = 40
;-)
The measure of the angle ∠ABD is 64 degrees
<h3>How to determine the measure of the angle?</h3>
From the question, we have the following parameters:
Ray BA bisects ∠CBD
∠CBD = 5x + 18
∠ABC = 3x - 2
Because of the bisection, we have
∠ABC = ∠ABD
∠ABC * 2 = ∠CBD
Substitute the known values in the above equation, so, we have the following representation
(3x - 2) * 2 = 5x + 18
Open the brackets
6x - 4 = 5x + 18
Evaluate the like terms
x = 2
Recall that
∠ABC = ∠ABD
So, we have
∠ABD = 3x - 2
This gives
∠ABD = 3 x 22 - 2
Evaluate
∠ABD = 64
Hence, the angle is 64 degrees
Read more about angles at
brainly.com/question/7620723
#SPJ1
In 3 hours half of 700 would be 700/2=350
in 3 more hours, so 6 total, the half life would be 350/2 = 175
in 3 more hours, 9 total, the half life would be 175/2 = 87.5
in 3 more hours, 12 total, the live life would be 87.5 / 2 = 43.75
so it would be 12 hours to have less than 50 mg
Answer:
D
Step-by-step explanation:
If you have any questions about the way I solved it, don't hesitate to ask :)
