Answer:
3/4 of a 6-ounce glass will be drunk by her in one hour.
Step-by-step explanation:
Given time = 2/3 of hour
= 2/3 (60) As hour = 60 mins
= 120/3
= 40 mins
Given quantity of water = 1/2 of 6-ounce
= 3 ounce
So,
In 40 mins, water intake is 3 ounce
In 1 min, water intake is 3/40
In 60 mins, water in take is (3/40)*60 = 4.5 ounce
Quantity of water intake in 60 mins:
4.5 ounce or 3/4 of 6-ounce glass
I hope it will help you.
Answer:
$468.09
Step-by-step explanation:
first we must calculate the expected future value of the engine overhaul:
($390 x 10%) + ($570 x 30%) + ($750 x 50%) + ($790 x 10%) = $39 + $171 + $375 + $79 = $664
now we must determine the present value of $664 using a 6% interest rate:
PV = FV / (1 + r)⁶ = $664 / 1.06⁶ = $468.09
A system of equations with infinitely many solutions is a system where the two equations are identical. The lines coincide. Anything that is equal to
will work. You could try multiply the entire equation by some number, or moving terms around, or adding terms to both sides, or any combination of operations that you apply to the entire equation.
You could multiply the whole thing by 4.5 to get
. If you want, you could mix things up and write it in slope-intercept form:
. The point is, anything that is equivalent to the original equation will give infinitely many solutions x and y. You can test this by plugging in values x and y and seeing the answers!
The attached graph shows that four different equations are really the same.
Answer: 10.2956
Step-by-step explanation:
Input Data :
Point 1 (
x
A
,
y
A
) = (7, -1)
Point 2 (
x
B
,
y
B
) = (-2, 4)
Objective :
Find the distance between two given points on a line?
Formula :
Distance between two points = √
(
x
B
−
x
A
)2
+
(
y
B
−
y
A
)
2
Solution :
Distance between two points = √
(
−
2
−
7
)
2
+
(
4
− −
1
)
2
= √
(
−
9
)
2
+
5
2
= √
81
+
25
= √
106 = 10.2956
Distance between points (7, -1) and (-2, 4) is 10.2956
4.6y-y+4=y-1.2
We simplify the equation to the form, which is simple to understand
4.6y-y+4=y-1.2
We move all terms containing y to the left and all other terms to the right.
+4.6y-1y-1y=-1.2-4
We simplify left and right side of the equation.
+2.6y=-5.2
We divide both sides of the equation by 2.6 to get y.
y=-2