Dividing by:
<span>2's leaving one remainder: </span>
<span>3 5 7 9 11 13 15 ... odd numbers </span>
<span>3's leaving one remainder: </span>
<span>4 7 10 13 16 19 22 25 28 ... common difference 3 </span>
<span>So far: 7 13 19 25 31 37 43 49 .... (common difference is 6) </span>
<span>4's leaving one remainder: </span>
<span>5 9 13 17 21 25 29 33 37 41 45 49 ... </span>
<span>So far: 13 25 37 49 ... common difference of 12 </span>
<span>which happens to be the LCM of 2, 3, and 4 </span>
<span>Notice we started each "so far" with the next number after the LCD at that point. </span>
<span>so.... </span>
<span>LCD of 2,3,4,5,6,7,8,9, and 10 is 2520 </span>
<span>so she had 2521 marbles in her bag. </span>
<span>check a few of them by dividing 2521 by any number from 2 to 10</span>
Answer:
32 mm²
Step-by-step explanation:
perimeter of left rectangle = 2(9 mm + 3 mm) = 24 mm
length of right rectangle = L
perimeter of right rectangle = 2(L + 4 mm) = 2L + 8
perimeter of right rectangle = 24 mm
The perimeter of the right triangle is 2L + 8 and also 24, so 2L + 8 must equal 24. We can solve for L and find the length of the right rectangle.
2L + 8 = 24
2L = 16
L = 8
area of right triangle = length × width
area = 8 mm × 4 mm
area = 32 mm²
Consecutive odd integers are 2 apart
they are
n,n+2,n+4
3(n²)=12+(n+2)(n+4)
expand
3n²=12+n²+6n+8
3n²=n²+6n+20
minus n² both sides
2n²=6n+20
divide bot sides by 2
n²=3n+10
minus 3n+10 both sides
n²-3n-10=0
factor
(n-5)(n+2)=0
n-5=0
n=5
n+2=0
n=-2
has to be odd, so no
n=5
n+2=7
n+4=9
the integers are 5,7,9
The answer would be b). -4
Reason being you have to minus four dollars to get to 14. If you chose c, then you would be adding four dollars, which isn't right. So your answer is b.
It's so easy just keep on reading it
