Answer:
45
Step-by-step explanation:
Answer:
length = 4 feet
width = 9 feet
Step-by-step explanation:
Perimeter of a rectangle = 2W + 2L, where W is the width and L is the length
If the perimeter is 26 feet, then: 26 = 2W + 2L
If the width is 5 feet more than the length, then: W = L + 5
Substitute W = L + 5 into 26 = 2W + 2L and solve for L:
26 = 2(L + 5) + 2L
26 = 2L + 10 + 2L
26 = 4L + 10
16 = 4L
L = 4
Now substitute L = 4 into W = L + 5 to find W:
W = 4 + 5 = 9
Therefore, length = 4 feet and width = 9 feet
Answer:
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The factors of 30 are 1, 2, 3, 5, 6, 10, 15, and 30. The factors of 40 are 1, 2, 4, 5, 8, 10, 20, and 40. The common factors of 30 and 40 are 1, 2, 5, and 10, and the GCF is 10.
422₅ - 143₅ = 224₅
We convert each number to base 10.
So 422₅ = 4 × 5² + 2 × 5¹ + 2 × 5⁰
= 4 × 25 + 2 × 5 + 2 × 1
= 100 + 10 + 2
= 112₁₀
143₅ = 1 × 5² + 4 × 5¹ + 3 × 5⁰
= 1 × 25 + 4 × 5 + 3 × 1
= 25 + 20 + 3
= 48₁₀
So 422₅ - 143₅ = 112₁₀ - 48₁₀ = 64₁₀
We now convert 64₁₀ to base 5
64 ÷ 5 = 12 r 4,
12 ÷ 5 = 2 r 2
2 ÷ 5 = 0 r 2
Counting upwards,
So, 65₁₀ = 224₅
So, 422₅ - 143₅ = 224₅
Learn more about number bases here:
brainly.com/question/18653770