Answer:
2500
Step-by-step explanation:
Let the first square number be 
then the next square number is 
.
The difference between these two consecutive numbers is 99.
This implies that:
We expand to get:
Simplify:
Divide both sides by 2
Therefore the value of the larger perfect number is
.
" 8 more "....means add 8
" twice a number " means multiply the number by 2
ur expression is : 2n + 8
Answer:
52degrees
Step-by-step explanation:
Let the measure of the largest angle be x
middle angle be y
smallest angle be z
Since the sum of angle in a triangle is 180 degrees, hence;
x + y + z = 180 .... 1
If the measure of the largest angle is 32 less than 3 times the smallest angle, then;
x = 3z - 32
3z = x+ 32
z = x+32/3 ..... 2
If he measure of the middle angle is 8 more than half the measure of the largest angle, then;
y = x/2 + 8 .... 3
Substitute 2 and 3 into 1;
x + x/2 + 8 + (x+32)/3 = 180
multiply through by 6
6x + 3x + 48 + 2(x+32) = 1080
9x + 48 + 2x + 64 = 1080
11x + 112 = 1080
11x = 1080-112
11x = 968
x = 968/11
x = 88 degrees
Get the middle angle y;
Since y = x/2 + 8
y = 88/2 + 8
y = 44 + 8
y = 52 degrees
Hence the measure of the middle angle is 52degrees
Answer:
$1.20
Step-by-step explanation:
A dime is worth 10¢.
10¢ x 12 = 120¢
Since a dollar is 100¢, James would have a dollar and 20¢ left over. So, $1.20.
Answer:
D. $680
Step By Step Explanation:
100 pages are typed. Each page coast $5 to type.
100 x 5 = 500
40 pages are revised once. It costs $3 to revise a page once.
40 x 3 = 120
10 pages are revised twice. It costs $3 to revise a page once so it will cost $6 to revise it twice
10 x 6 = 60
To find the total cost we add all the amounts together
500 + 120 + 60 = 680
The final answer is $680
