Answer:
22
74
Step-by-step explanation:
Answer:
x=6 y=-9
Step-by-step explanation:
- Layer the equations on each other as you would in a subtraction problem:
8x + 2y=30
7x + 2y=24
- Subtract the equation just like you would normally. This should leave 1x=6 or x=6.
- Now that you have your x value, plug it in as x for one of the equations. For the 2nd equation, this leaves:
42+2y=24 then
2y=-18 then
y=-9
- Double check your y value by plugging x=6 into the first equation. This should also leave y=-9.
8 times 3 is 21 so 3 juries
Answer: f(x) = x/2 + 4.
where f(x) is the number of stamps that Tom has, and x is the number of stamps that Myrna has.
Step-by-step explanation:
The statement is:
"Tom has four more than half the stamps that Myrna has"
For how is written, we can model the number of stamps that Tom has as a function f(x).
f(x) represents the number of stamps that Tom has, and x is the number of stamps that Myrna has.
Then:
"four more than a number" is written as:
N + 4 (where N is the number)
"Half the stamps that Myrna has" is written as:
x/2.
Then the whole statement can be modeled as:
f(x) = x/2 + 4.
notice that we have x/2, and f(x) must be a whole number, so Myrna must have an even number of stamps (in that case x/2 will be integer)
For this case we have the following equation:
S = 0.159 + 0.118logD
Substituting S = 0.2 we have:
0.2 = 0.159 + 0.118logD
From here, we clear the value of D.
We have then:
0.2 - 0.159 = 0.118logD
logD = (0.2 - 0.159) / (0.118)
logD = 0.347457627
10 ^ (logD) = 10 ^ 0.347457627
D = 10 ^ (0.347457627)
D = 2.23 mm
Answer:
The average diameter, D, of the sand particles for a beach is:
D = 2.23 mm
