Hey there,
Solution:
Fabric needed = 1 3 / 4
Fabric she has = 4 5 / 8
1 3 / 4 - make the denominator into 8
1 3 / 4 = 1 6 / 8
Fabric left = 4 5 / 8 - 1 6 / 8
= 37 / 8 - 14 / 8
= 23 / 8
= 2 7 / 8
Hope this helps :))
<em>~Top♥</em>
Note that x is the hypotenuse of a right triangle. Applying the Pyth. Thm.,
x^2 = 2^2 + 6^2, or x^2 = 4 + 36 = 40.
Thus, the hypotenuse is +sqrt(40), or 2sqrt(10).
Answer:
<em>p</em> = 2
Step-by-step explanation:
Happy to help.
When we have numbers in parenthesis, we generally want to deal with those first. However, we can hit a rough patch when a variable is in there. Consider this:
2(3 + 4) = 2(7), or 14.
But, the two can also be distributed into both numbers in the parenthesis, like this:
2(3 + 4) = 2*3 + 2*4
That leaves us with the same answer—14! We can apply this to a variable, and that will help us figure out 9(<em>p</em> - 4), or the left side of your equation you presented.
9(<em>p</em> - 4) = -18
9*<em>p</em> - 9*4 = -18
9<em>p</em> - 36 = -18
Add 36 on both sides to isolate the variable (in this case, <em>p)</em>
9<em>p</em> = -18 + 36
You can also write it like this; 9<em>p</em> = 36 - 18
9<em>p</em> = 18
Divide 9 to isolate <em>p</em>
<em>p</em> = 2
So, we would get (<em>p</em> = 2). Make sure to practice a few more questions like these to really get the hang of it—you'll be using this a lot in the future!
Good luck!
Answer:
$17,321.43
Step-by-step explanation:
The amount of monthly income from commissions would have to be ...
$2100 -975 = $1125
This is 7% of sales over $1250, so the sales (s) would need to be ...
1125 = 0.07(s -1250)
1125 = .07s -87.50 . . eliminate parentheses
1212.50 = 0.07s . . . . add 87.50
17,321.43 = s . . . . . . . divide by 0.07
He would have to sell $17,321.43 in a month if he needed an income of $2100.
If an integer is chosen between 1 and 50 inclusive, you have 50 numbers total to deal with, so 50 is in the denominator of our ratio (fraction). All the numbers divisible by 3 in that interval total 16 numbers. So the ratio would be 16/50 for a percentage of 32%
