Answer:
16.65 feet
Step-by-step explanation:
Okay, we have three boards that are each 6.85 feet long. If we cut 3.4 feet off one board, that board has:
6.85
−
3.4
=
3.45
feet left
If we cut off 0.5 feet off another board, that board has:
6.85
−
0.5
=
6.35
feet left
So, if we take our three new boards, the total length of plywood left is:
6.85
+
3.45
+
6.35
=
16.65
feet
Hope this helps!
<h3>
Answer:</h3>
- <u>20</u> kg of 20%
- <u>80</u> kg of 60%
<h3>
Step-by-step explanation:</h3>
I like to use a little X diagram to work mixture problems like this. The constituent concentrations are on the left; the desired mix is in the middle, and the right legs of the X show the differences along the diagonal. These are the ratio numbers for the constituents. Reducing the ratio 32:8 gives 4:1, which totals 5 "ratio units". We need a total of 100 kg of alloy, so each "ratio unit" stands for 100 kg/5 = 20 kg of constituent.
That is, we need 80 kg of 60% alloy and 20 kg of 20% alloy for the product.
_____
<em>Using an equation</em>
If you want to write an equation for the amount of contributing alloy, it works best to let a variable represent the quantity of the highest-concentration contributor, the 60% alloy. Using x for the quantity of that (in kg), the amount of copper in the final alloy is ...
... 0.60x + 0.20(100 -x) = 0.52·100
... 0.40x = 32 . . . . . . . . . . .collect terms, subtract 20
... x = 32/0.40 = 80 . . . . . kg of 60% alloy
... (100 -80) = 20 . . . . . . . .kg of 20% alloy
Answer: height is 7 inches
Step-by-step explanation:
height=2 ×Area/Base
= 2 (150.5/43)
=2 (3.5)
h = 7
Answer:
50mph
Step-by-step explanation:
250divided by 5 is equal to 5
Answer:
r= 6p + 20
Step-by-step explanation:
given:
r= 3n + 20
also given that n = 2p
substituting n=2p into the above equation
r= 3n + 20
r= 3(2p) + 20
r= 6p + 20