Answer:
10
Step-by-step explanation:
We will use a system of equations to solve this. We do not know how much of the 25% bleach solution is used; we will use x to represent this. We know that 5 cups of the 10% solution was used. We do not know how much of the resulting solution we have; we will use y to represent this. This gives us the equation
x+5 = y
Using the decimal forms of the percentages for each solution, we have 0.25x (25% solution for x cups), 0.1(5) (10% solution for 5 cups) and 0.2y (20% solution for y cups); this gives us the equation
0.25x+0.1(5) = 0.2y
This gives us the system
To use elimination, we will make the coefficients of x the same by multiplying the top equation by 0.25:
We will now subtract the second equation from the first:
Divide both sides by 0.05:
0.75/0.05 = 0.05y/0.05
15 = y
There were 15 cups of the resulting 20% solution. Substituting this into the first equation, we have
x+5=15
Subtract 5 from each side:
x+5-5=15-5
x = 10
From what I can pick up from your problem statement, you want to know "<span>a similar charm has a diameter of 4 cm what is the circumference." Please, would you use proper punctuation in your writing, for greater clarity:
"A</span><span> similar charm has a diameter of 4 cm. What is the circumference?"
The formula for the circumference of a circle, when the diameter is known, is
C=</span>
d or C=pi*d
In this case, with diamter 4 cm, the circumference, C, is 4pi cm.
Angle 1 = 8x + 45
Angle 2 = x
x + 8x + 45 = 180
combine like terms
9x + 45 = 180
subtract 45 from both sides
9x = 135
divide both sides by 9 to isolate x
x = 15
Angle 1 = 8(15) + 45 = 165 degrees
Angle 2 = 15 degrees
Answer:
free points??????????? thank h so much
Saturday night after the marshmallows ran out, the counselor
threw 30 cold stones on the campfire, and sent the campers
to bed in their tents.
But several campers noticed that there were still live coals in
the fire. This was a tent situation, and they knew that they
should not leave until it's completely out. So they each
picked up 10 cold stones and they all threw those on the fire
too. Then the fire was really out, so they all went to their tents.
In the morning the same campers who threw 10 stones apiece
onto the fire all got together and went to look at it. It was definitely
stone cold, so they spread it out and counted all the stones in it.
They found that there were exactly 100 stones. How many
campers threw stones on the fire after the counselor left ?
