Answer:
Step-by-step explanation:
Find the sum of the first 42 terms of the following series, to the nearest integer.
2,7,12
Solution
The sum is given by
SUM_n=n/2*(a_1+a_n)
a_n=a_1+(n-1)d
a_1=2, n=42, d=5
The 42nd term is therefore given by
a_42=2+(42-1)5=207
SUM_42=42/2*(2+207)=21*209=4389
The sum of the first 42 terms of the series, therefore, is 4389
Answer:
The PERIMETER P is the distance around the rectangle.
Let's call the width of the rectangle W and the length of the rectangle L.
As you go around the edge there two equal lengths and two equal widths.
The formula for the perimeter of a rectangle is P=2*L+2*W.
P=2L%2B2W
Substitute 290 for P and 62 for the width.
290=2L%2B2%2862%29
Solve for L.
290=2L%2B2%2862%29
290=2L%2B124
290-124=2L
2L=166
L=83
The equation L=83 means that the length is 83 cm.
CHECK your work.
2(62)+2(83) = 124+166 = 290cm.
The length of the rectangle is 83cm.
Answer:
2/3 of a year is 8 months.
Step-by-step explanation:
Since there is 12 months in a year, divide 12 by 3.
12÷3= 4
Now, multiply 4 by 2.
4×2= 8
This gives you the answer of 8 months.
The student who said 302 is a greater number is correct because since it has a 0 it brings the number into the hundreds while 32 is a lesser value . another example would be to make 32 you would need 3 ten blocks and 2 ones blocks and to make 302 would need 3 hundreds blocks and 2 ones blocks
if 7/2 = x/81
then you cross multiply and get
2x = 567 then divide by 2 and you get
283.5 and that's your answer
