Let the width of the yard be w.
Since the length is 18feet longer, l = w + 18
Perimeter for rectangle = 2(l + w)
2(l + w) = 72
2(w+18 + w) = 72 Divide 2 on both sides
(w + 18 + w) = 36
2w + 18 = 36
2w = 36 - 18
2w = 18 Divide 2 on both sides
w = 18/2
w = 9
Recall, length l = w + 18, l = 9 + 18 = 27
Hence width, w = 9, length,l = 27
Area of rectangle = l × w = 27 × 9 = 243
Area of rectangular yard = 243 square feet.
Answer:
A: 6x⁸y⁵
B: 4x⁵z⁸
C: 48a¹²b⁵
D: 6s⁹t³
Step-by-step explanation:
When you multiply 2 exponents together, you add them. When you power an exponent, you multiply the 2 exponents together,
3x²2y⁴(2x⁶y)
6x⁸y⁵
xz³(4x⁴z⁵)
4x⁵z⁸
(4a³)²(3a⁶b⁵)
16a⁶(3a⁶b⁵)
48a¹²b⁵
6s⁵t(s⁴t²)
6s⁹t³
<span>Let L be the number of yards on a roll of lace ribbon.
Let S be the number of yards on a roll of satin ribbon.
We can set up two equations.
equation 1: 3L + 2S = 120 yards
equation 2: 2L + 4S = 160 yards
We can multiply (equation 1) by 2 and subtract (equation 2).
equation 1: 6L + 4S = 240 yards
equation 2: 2L + 4S = 160 yards
4L = 80 yards
L = 20 yards
equation 1: 3L + 2S = 120 yards
3(20 yards) + 2S = 120 yards
2S = 60 yards
S = 30 yards
There are 20 yards on a roll of lace ribbon.
There are 30 yards on a roll of satin ribbon.</span>
Answer:
Longest possible length for each of the shorter lengths of ribbon is 9 cm because greatest common factor for both 36 and 45 is 9.
Step-by-step explanation:
Alannah has two ribbons one length is 36cm and other is 45cm.
It asked to find shorter length of ribbons that each cut into equal pieces with out no ribbon left over.
So, let's find greatest common factor for both 36 and 45.
Let's prime factor each number
36= 2*2*3*3
45= 3*3*5
So, GCF is product of common factors for both numbers.
GCF= 3*3 =9
So, longest possible length for each of the shorter lengths of ribbon is 9 cm.
Learn more about GCF in brainly.com/question/21612147.
545,999 rounded to the nearest hundred thousand is 546,000.
