9514 1404 393
Answer:
9 ft, 22 ft, 23 ft
Step-by-step explanation:
Let s represent the length of the shortest side. Then the middle length side is (2s+4) and the longest side is (3s-4). The perimeter is the sum of the side lengths:
54 = s +(2s +4) +(3s -4)
54 = 6s . . . . . . . . . . . . . . collect terms
9 = s . . . . . . . . . . divide by 6
2s+4 = 2·9 +4 = 22
3s -4 = 3·9 -4 = 23
The lengths of the three sides are 9 feet, 22 feet, and 23 feet.
Answer:
Step-by-step explanation:
Assuming Roberto wants to completely fill each page that he puts cards in, this function describes the number of 2-card pages, a, and 3-card pages, b.
2a + 3b =18
Ricardo can fill up 9 2-card pages, and 6 3-card pages.
a=9, b=0
We must add 2 3-card pages at a time,so that we have an even number for the 2-card pages:
a=6, b=2
Add 2 to b once more:
a=3, b=4
One more time:
a=0, b=6:
Thus, Ricardo can display his figures in the following page combinations:
a=9, b=0
a=6, b=2
a=3, b=4
a=0, b=6
Remember that a= number of 2-card pages and b=number of 3-card pages
There are 4 different ways that Ricardo can arrange his figures in terms of what kind of pages he uses.
Answer:
72
Step-by-step explanation:
9/11 = ?/88
<em>multiply each side by 8 (because 88 divided by 11 is 8)</em>
72/88 = ?/88
<em>multiply each side by 88</em>
72 = ?
V = (4cm)(5cm)(3cm) = 60 cm³
M = 120g
<u><em>Density = M/V = (120g)/(60cm³) = 2 g/cm³</em></u>
The final price is the cost plus the tax.
Since we know the tax and a percent, we can write this as
T = C(1+r)
T = what Graham paid = $87.45
C = cost before tax
r = tax rate expressed as a decimal = .40
Plugging in what we know
87.45 = C (1+.4)
87.45 = C(1.4)
Divide both sides by 1.4
C = $62.46
