Answer:
24
Step-by-step explanation:
60% is equal to 3/5. So, we can divide 15 by 5 to get 3 and multiply 3 by 3 to get 9. Then add 9 to the 15 to get 24, Alternatively you can multiply 15 by 1.6
The length and width of the rectangle is 11 in and 8 in respectively.
Step-by-step explanation:
Given,
The width of a rectangle is 3 in less than the length.
The area of each congruent right angle triangle = 44 in²
To find the length and width of the rectangle.
Formula
The area of a triangle with b base and h as height =
bh
Now,
Let, the width = x and the length = x+3.
Here, for the triangle, width will be its base and length will be its height.
According to the problem,
×(x+3)×x = 44
or, 
or,
or,
+(11-8)x-88 = 0
or,
+11x-8x-88 =0
or, x(x+11)-8(x+11) = 0
or, (x+11)(x-8) = 0
So, x = 8 ( x≠-11, the length or width could no be negative)
Hence,
Width = 8 in and length = 8+3 = 11 in
∆x = (4--4)=8
∆y = (7--3)= 10
Step-by-step explanation:
distance is given by;
d² = (∆y)²+ (∆x)²
d = √((∆y)²+ (∆x)²)
d = √((4+4)² + (7+3)²)
d = √((8²) + (10²))
d = √(64+100)
d = √164
<em><u>d =12.806 units</u></em>
We have that the prime factorization is 28 = 2x2x7.
Answer:
14
Step-by-step explanation:
Let the smaller and larger numbers be represented by S and L, respectively.
S/L = 2/3 . . . . the original ratio of the numbers
3S = 2L . . . . . multiply by 3L
__
(S-6)/(L+7) = 2/7 . . . . the new ratio of the numbers
7(S-6) = 2(L+7) . . . . . multiply by 7(L+7)
7S -42 = 2L +14
Using the expression for 2L from the first ratio, we can substitute to get ...
7S -42 = 3S +14 . . . . substitute 3S for 2L
4S = 56 . . . . . . . . . . .add 42-3S
S = 14 . . . . . . . . . . . . . divide by 4
The original smaller number was 14.