So,
We have three placeholders.
x, y, and z will represent the number of cookie boxes they sold for the first, second, and third weeks, respectively.
"The girls sold 5 more boxes the second week than they did the first."
x + 5 = y
"They doubled the sales of the second week for the third week."
z = 2y
"To sell a total of 431 boxes of cookies"
x + y + z = 431
Now we have our three equations.
x + 5 = y
z = 2y
x + y + z = 431
Obviously, we can substitute y and z in the last equation, because the other two open sentences tell us what they are.
x + (x + 5) + 2(x + 5) = 431
x + x + 5 + 2(x + 5) = 431
Collect Like Terms.
2x + 5 + 2(x + 5) = 431
Distribute.
2x + 5 + 2x + 10 = 431
Collect Like Terms.
4x + 15 = 431
Subtract 15 from both sides.
4x = 416
Divide both sides by 4.
x = 104
Now we can use the other two original sentences to figure out what y and z are.
x + 5 = y
104 + 5 = y
109 = y
z = 2y
z = 2(109)
z = 218
Now, to check, add x, y, and z.
x + y + z = 431
104 + 109 + 218 = 431
213 + 218 = 431
431 = 431 This checks.
The Girl Scouts sold 104 cookie boxes on the first week, 109 boxes on the second week, and 218 boxes on the third week.
<u>To consider whether this statement is true or not</u>
⇒ must determine the <u>number of milliliters in a liter</u>
⇒ <u>1 Liter = 1000 milliliter</u>
<u />
<u>To compare both containers, lets set both containers in terms of milliliters</u>
- Container 1 --> 2 Liter Capacity --> 2000 milliliter
- Container 2 --> 3000 milliliter
<u>By looking at the data</u>
⇒ the 3000-milliliter container holds more than the2-liter container
<u>Thus, the statement</u>: A 2-liter container holds more than a 3,000-milliliter container
⇒ <u>False</u>
<u></u>
<u>Answer: False</u>
<u></u>
Hope that helps!
<u />
Answer:
- recursive: a[1] = 7440; a[n+1] = a[n] -120
- explicit: a[n] = 7440 -120(n -1)
Step-by-step explanation:
The sequence of amounts in Jackson's account will be ...
7440, 7320, 7200, ...
with a first value (a1) of 7440 and a common difference (d) of -120.
The recursive formula for an arithmetic sequence is ...
a[1] = a1
a[n+1] = a[n] +d
For our sequence, the recursive formula is ...
a[1] = 7440
a[n+1] = a[n] -120
__
The explicit formula for an arithmetic sequence is ...
an = a1 +d(n -1)
For our sequence, the explicit formula is ...
a[n] = 7440 -120(n -1)
Answer: 2 3/4
Step-by-step explanation: 1/4 + 3/4 is 1 whole plus 1/4+1/4 would equal the 1/2 you need.
So we are up to 3/4 already. 1 3/4 + 3/4 = 2 1/2
We need to add 2 more to get to 4 1/2
So the answer would be 2 3/4
2 3/4 + 1 3/4 = 4 1/2
Answer:
98.875
Step-by-step explanation:
Just add all the hours worked.
Hope this helps! :)
