Answer:
m = 
Step-by-step explanation:
Given
+
= 
Multiply through by 15 to clear the fractions
15 is the lowest common multiple of 3, 5 and 15
10 + 9m = 31 ( subtract 10 from both sides )
9m = 21 ( divide both sides by 9 )
m =
= 
Answer:
.
Step-by-step explanation:
Answer:
259/30 or 8 19/30 depending on what format your teacher wants the answer
Step-by-step explanation:
First we can turn both mixed fractions into improper fractions and to do that we multiply the whole number by the denominator and that add that to the top number. So for 3 4/5 we would multiply 3 and 5 and than add 4 getting us to 19/5 doing the same to 4 5/6 gets us to 29/6. Now in order to add fractions we need to get a common denominator. The least common multiple of 5 and 6 is 30 so we will multiply each fraction by whatever number will give us 30 in the denomiator. for 19/5 that number is 6 so our new fraction is 114/30 and for 29/6 that number is 5 so our new number is 145/30. Now we just add the numerators and simplify. 114/30+145/30=259/30
I hope this helps and please don't hesitate to ask if there is anything still unclear!
Answer:
D. The scale factor is 1:840
Step-by-step explanation:
Make 630 ft into inches, so 7560
Then make it 9/7560, which simplifies to 1/840
1 + 2^1 = 3
3 + 2^2 = 7
7 + 2^3 = 15
15 + 2^4 = 31
31 + 2^5 = 63
63 + 2^6 = 127
so the next two terms in the sequence 1, 3, 7, 15, 31, is 63 and 127.