Answer:
Step-by-step explanation:
Let “x” be the weight of the bottle and “y” is weight of honey.
We know the total weight of bottle full of honey is 1000 g.
So Equation 1 is x + y = 1000 g
And with half of the honey, we know the total weight is 600g.
Equation 2: x + (y/2) = 600 g
y/2=600 - x
y= 2 (600 - x)
y= 1200 - 2x
We can replace “y” with 1200 - 2x in Equation 1:
x + 1200 - 2x = 1000
x = 200 g
Weight of the bottle is 200 g.
Answer:
Width = 9 km
Step-by-step explanation:
Area is length*width, so to find the width, you divide the area by the length. 63/7 is 9.
For this case we have that the variable "x" represents the number of hours that Leticia uses to take care of children on Saturday.
IF on Friday I use 4 hours ($ 8 each) and on Saturday "x" hours ($ 8 each) obtaining a profit of $ 72, we have the following equation:
We apply distributive property:
So, on Saturday she spent 5 hours.
Answer:
There's a catch here, and I don't really want to go into full detail. Because of
this catch, I think it would be unusually tough to write a simple equation for this
situation. If you wouldn't mind, let's just list it instead:
<u>After</u> . . <u>water added</u> . . <u>total in pool</u>
7 min . . . 14 gallons . . . 14 gallons
1 more . . 1 gallon . . . . . 15 gallons
7 more . . 14 gallons . . . 29 gallons
1 more . . 1 gallon . . . . . 30 gallons
5 more . . 10 gallons . . . 40 gallons, the pool is full
Add up all the minutes: <u>21 minutes</u>
Answer:
y = -1/3x - 4 (slope-intercept form)
or
x + 3y = -12 (Standard form).
Step-by-step explanation:
The slope of the line = (-3 - (-2)) / (-3 - (-6))
= -1 / 3.
Using the point-slope form of straight line:
y - y1 = m(x - x1) we have:
y - (-2) = -1/3(x - -6))
y + 2 = -1/3(x + 6
y + 2 = -1/3x - 2
y = -1/3x - 4
In standard form (multiplying thru by 3):
3y = -x - 12
x + 3y = -12.
