The pencil costs $0.25.
One way to deduce this is to divide 1.50 by 2 (equaling 0.75) and then subtracting .5 to get 0.25 because if it's $1 more, then the ruler would cost 0.75 + 0.5 and the pencil would cost 0.75 - 0.5, making a total of $1.50.
Another way is to make it an equation. Let's say the ruler is r dollars and the pencil is p dollars.
r + p = 1.50
r = p + 1.00
If we know these two equations, then you can substitute p + 1.00 in the 1st equation (instead of r). This gets us:
p + 1.00 + p = 1.50
You can simplify this into:
2p + 1.00 = 1.50
Then you subtract 1.00 from both sides:
2p = 0.50
And you divide 2 from both sides:
p = 0.25
Getting you the answer of:
The pencil costs $0.25
Hope this helps! :)
The mean is 85*0.39 = 33.15, while the standard error is sqrt(0.39*0.61/85) = 0.0529. Using the z-score of 1.96, the confidence interval is:33.15 +/- 1.96*0.0529 = (33.05, 33.25)By dividing by 85, this corresponds to a proportion of:(0.3888, 0.3912)
Answer: -2.145
Step-by-step explanation:
(3.2+4x)+(18.25+6x)=
Simplifying
(3.2 + 4x) + (18.25 + 6x) = 0
Remove parenthesis around (3.2 + 4x)
3.2 + 4x + (18.25 + 6x) = 0
Remove parenthesis around (18.25 + 6x)
3.2 + 4x + 18.25 + 6x = 0
Reorder the terms:
3.2 + 18.25 + 4x + 6x = 0
Combine like terms: 3.2 + 18.25 = 21.45
21.45 + 4x + 6x = 0
Combine like terms: 4x + 6x = 10x
21.45 + 10x = 0
Solving
21.45 + 10x = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-21.45' to each side of the equation.
21.45 + -21.45 + 10x = 0 + -21.45
Combine like terms: 21.45 + -21.45 = 0
0 + 10x = 0 + -21.45
10x = 0 + -21.45
Combine like terms: 0 + -21.45 = -21.45
10x = -21.45
Divide each side by '10'.
x = -2.145
Simplifying
x = -2.145
Answer:
18
Step-by-step explanation:
There are 2+3 = 5 ratio units representing 45 band members, so each ratio unit represents 45/5 = 9 band members.
The 2 ratio units of sixth graders represent 2×9 = 18 sixth grade band members.
Answer:
Volume is how much you can put in something like a box. Surface area is how much wrapping paper is needed to cover the box. Words like fill often designated volume while words like cover mean surface area.
Step-by-step explanation:
Volume is how much you can put in something like a box. Surface area is how much wrapping paper is needed to cover the box. Words like fill often designated volume while words like cover mean surface area.
