9514 1404 393
Answer:
$7.14
Step-by-step explanation:
Let p, d, q represent the numbers of pennies, dimes, and quarters in the collection, respectively.
p + d + q = 45 . . . . . . . . there are 45 coins in the collection
2p +5 = q . . . . . . . . . . . . 5 more than twice the number of pennies
p + 4 = d . . . . . . . . . . . . . 4 more than the number of pennies
Substituting the last two equations into the first gives ...
p +(p +4) +(2p +5) = 45
4p = 36 . . . . . . . . . . . . . subtract 9
p = 9 . . . . . . . . . . . divide by 4
d = 9 +4 = 13
q = 2(9) +5 = 23
The value of the collection is ...
23(0.25) +13(0.10) +9(0.01) = 5.75 +1.30 +0.09 = 7.14
The coin collection is worth $7.14.
Hello there,
From Point A to Point B Peter traveled roughly 30 miles in 30 minutes.
From Point B to Point C Peter traveled roughly 130 miles in 2 hours and 30 minutes.
From Point C he didn't move in distance but the hours moved so c is out.
From Point C to Point D, Peter traveled roughly 180 miles in 3 hours.
Therefore D Peter had the fastest interval at D.
Answer:
minimum
Step-by-step explanation:
Given a quadratic function in vertex form
f(x) = a(x - h)² + k
• If a > 0 then f(x) is a minimum
• If a < 0 then f(x) is a maximum
f(x) = 0.25(2x - 15)² + 150 ← is in vertex form
with a = 0.25 > 0
Thus f(x) has a minimum turning point
5x-2+x=9+3x+10
therefore, x = 7
Answer:
5 pages
Step-by-step explanation:
5+2 =
7.
12- 7=
5pages.
