Answer: 30/40, 25/40, 4/40
Step-by-step explanation: Using the Least Common Denominator, I looked at each multiple of each number to determine 40 as the least common denominator, and since we did 4 x 10 to get 40 in the first one, we do 3 x 10 in the first one as well making it 30/40. The second one we did 8 x 5 to get 40, making the numerator (top number) the product of 5 x 5 which is 25 making it 25/40. For the last one, I used 10 x 4 to get 40 meaning I would have to do 1 x 4 to get the numerator (top number) making it 4/40
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Answer:
a hope help you stay happy and safe
Answer:
x =17.6
The three angles are
6x = 105.6
x-3 =14.6
3x+7 = 59.8
Step-by-step explanation:
The three angles of a triangle add to 180 degrees
6x + x-3 + 3x+7 = 180
Combine like terms
10x +4 = 180
Subtract 4 from each side
10x+4-4= 180-4
10x = 176
Divide each side by 10
10x/10 =176/10
x =17.6
The three angles are
6x = 6*17.6= 105.6
x-3 = 17.6-3 =14.6
and 3x+7 = 3(17.6)+7 =52.8+7 = 59.8
Answer:
56
Step-by-step explanation:
clearly, the sequence is built by adding 5 for every new term.
so, an = an-1 + 5
a1 = 25 (the starting value)
a2 = a1 + 5 = 25 + 5 = 30
a3 = a2 + 5 = a1 + 5 + 5 = a1 + 2×5 = 25 + 10 = 35
...
an = an-1 + 5 = a1 + (n-1)×5
now, we know, the last term is 300.
when we determine for which n we get an = 300, we know that n is the number of terms in the sequence.
so,
300 = a1 + (n-1)×5 = 25 + 5n - 5 = 20 + 5n
280 = 5n
n = 56
a56 = 300
so, we have 56 terms in this sequence
