Answer: 35 dogs
Step-by-step explanation:
Ratio of dogs to cats in first week of January
= 49 : 28
Ratio of dogs to cats in last week of January
= ? : 20
Let the unknown number of dogs for last week be Z
Thus, 49/28 = Z/20
To get the value of Z, cross multiply
49 x 20 = 28 x Z
980 = 28Z
Divide both sides by 28
980Z/28 = 28/28
Z = 35
Thus, there were 35 dogs in the animal shelter during the last week
Answer:
4x + 16 - simplified
Step-by-step explanation:
number - N
The sum of a number and three more than twice that number is 27.
N + (2N + 3) = 27
what is the smaller number ?
N + 2N + 3 = 27
3N = 27 - 3
3N = 24
N = 8
Check
N + (2N + 3) = 27 = 8 + (2x8 + 3) = 8 + 16 + 3 = 27
Answer: 2^2 x 3^2 x 5
You can use a star symbol * in place of the x symbols.
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Explanation:
We simply circle the primes where they have the largest exponent.
The unique primes listed here are: 2, 3, 5
- The prime 2 has the highest exponent of 2, meaning 2^2 is part of the answer.
- The prime 3 has the highest exponent of 2, meaning 3^2 is also part of the LCM
- The prime 5, without any exponent, is also part of the LCM. We can write this as 5^1 or just leave it as 5.
Given that square print has side length = 8 inches
Given that you make a frame using strip of wood 1 1/4 inch wide. Since frame is on both sides of the square print so new side length after adding the frame =
inches
Area of the square is given by formula 
where x is the side of square
Shape of the frame including print will also be square so
Area of the frame including print 
square inches
Area of the print = 
square inches
We have to find the area of frame only so we can subtract area of print from the total area
Area of frame = [Area of frame including print] - [Area of print]
Area of frame = 110.25-64 = 46.25
Hence final answer is 46.25 square inches
