Answer: the number of small boxes shipped is 14 and the number of large boxes shipped is 12.
Step-by-step explanation:
Let x represent the number of small boxes shipped and
Let y represent the number of large boxes shipped.
A total of 26 boxes of paper were shipped. This means that
x + y = 26
The volume of each small box is 7 cubic feet and the volume of each large box is 13 cubic feet. The combined volume of small and large boxes shipped is
7x + 13y = 254 - - - - - - - - - - - - - - - -1
Substituting x = 26 - y into equation 1, it becomes
7(26 - y) + 13y = 254
182 - 7y + 13y = 254
- 7y + 13y = 254 - 182
6y = 72
y = 72/6 = 12
x = 26 - y = 26 - 12
x = 14
-3.89 and 2.9 are on opposite sides
-3.89 is a negative number, so it is to the left of 0
2.9 is a positive number, so it is to the right of 0
Hope this helps
-AaronWiseIsBae
Oh my goodness ! You were doing such an absolutely beautiful job,
as far as you went, but then you ran into some rough road and quit.
You've got the correct expressions for the ages of the three people:
-- Will . . . w
-- Ben . . . w+3
-- Jan . . . 2(w+3)
You slipped up when you expanded Jan's age: 2(w+3) = <u>2w + 6</u> ,
and it was all down hill from there.
Let's do it again, together:
-- Will . . . w
-- Ben . . . w + 3
-- Jan . . . 2w + 6
Total: (w + w + 2w) + (3 + 6) = 4w + 9
So the equation is: <em><u>4w + 9 = 41</u></em>
Now you're supposed to solve it.
Subtract 9 from each side: 4w = 32
Divide each side by 4: <u>w = 8</u>
-- Will = w . . . . . 8 y.o.
-- Ben = w+3 . . . 11 y.o.
-- Jan = 2(w+3) . . 22 y.o.
When will Jan be twice as old as Will ?
That'll happen in 'x' years.
At that time, Will will be (8+x) and Jan will be (22+x),
and her age will be double Will's age.
22 + x = 2(8 + x)
22 + x = 16 + 2x
Subtract 'x' from each side: 22 = 16 + x
Subtract 16 from each side: <em> 6 = x</em>
<u>Check:</u>
In 6 years, Jan will be (22+6) = 28,
and Will will be (8+6) = 14 .
28 = twice as old as 14. yay!
Can I make a little suggestion ?
I'm going to make it anyway:
Your problem was neatness.
You were doing great work in that big open space on the sheet, but it
started to get ragged. When you tried to look back to see if you made
a mistake, you couldn't find it in the mess.
This is not an easy problem, but you definitely know your stuff.
I think if you keep it a little neater, you're going to sparkle !
Answer:
1.994
Step-by-step explanation:
"Percent" means "per 100" or "over 100". To convert 199.4% to a decimal rewrite 199.4 percent in terms of per 100 or over 100.
199.4% = 199.4 over 100 or,
199.4%=199.4100
199.4 over 100 is the same as 199.4 divided by 100. Completing the division we get:
199.4 ÷ 100 = 1.994
Therefore, we have shown that
199.4% = 1.994
Simplified Conversion:
Remove the percent sign % and divide by 100.
199.4 ÷ 100 = 1.994
Shortcut Conversion:
Move the decimal point 2 places to the left and remove the percent sign %
199.4% becomes 1.994
Answer:
-69
Step-by-step explanation:
k(-5) = 10*-5 -19
= -50-19
=-69
