Answer:
They have 83 dogs and 50 birds.
There are 133 animals in total in the shelter.
Step-by-step explanation:
So let's call the dogs D and the birds B.
D = 25% + B
What ever the amount of animals, the total for D must always be 25% more than B.
To get 100% of the animals, B must equal 37.5% and D must equal 62.5%.
The way I worked this out was:
100% - 25%= 75%
75% divided by 2= 37.5%
37.5% + 25%= 62.5%
And just to check
37.5% + 62.5% = 100%
So to work out 100%:
37.5% = 50
divide both by 37.5 to get 1%
1% = 1.333333
time both by 62.5 to get 62.5%
62.5% = 83.333313
We'll round that answer because I'm pretty sure they don't have a .333313th of a dog.
So D = 62.5% = 83
They have 83 dogs and 50 birds.
Phew! That was the hard part. Now onto something wayyy easier.
To get the total number of animals in the shelter we just do 83 + 50, which is 133.
There are 133 animals in total in the shelter.
Hope this helps you :)
Answer:
Since 6 lemons are used to make 4 cups of lemonade, then are used 
of lemon per cup of lemonade, or are make 
cups of lemonade per lemon.
Given:
In a set of 3 numbers the first is a positive integer, the second is 3 more than the first and the 3rd is a square of the second.
To find:
The equation for the given situation if the sum of the numbers is 77.
Solution:
a. Let the first number in the set is x.
The second is 3 more than the first. So, the second number is 
.
The 3rd number is a square of the second. So, the third number is 
.
Therefore, the first, second and third numbers are 
respectively.
b. The sum of the numbers is 77.
First number + Second number + Third number = 77
c. So, the equation in terms of x is:
Therefore, the required equation is .
d. On simplification, we get
![[\because (a+b)^2=a^2+2ab+b^2]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%28a%2Bb%29%5E2%3Da%5E2%2B2ab%2Bb%5E2%5D)
Subtract 77 from both sides.
Therefore, the simplified form of the required equation is .
Answer:
38 5/28
Step-by-step explanation:
Well start with the whole numbers 24 and 13 This is adding so that means everything has to be added together. 13+24=37 Now, lets go the fractions.
Find the LCD (Least Common Denominator) of 3/4 and 3/7 and rewrite to solve with the equivalent fractions. (remember the Denominator is the BOTTOM PART of the Fraction. Such as the 4 in 3/4.)
LCD = 28
21/28 + 12/28 = 33/28 which can be simplified to 1 5/28. Combining the whole and fraction parts 37 + 1 + 5/28 = 38 5/28 And that will be your answer. Another way you can do this is
converting mixed numbers to fractions Meaning put them in improper form where the numerator (the top number of a fraction is bigger than the denominator such as 4/3) , our initial equation becomes, 99/4 + 94/7
Applying the fractions formula for addition,
(99×7) + (94×4) / 4×7
= 693+376 / 28 =
= 1069/ 28
Simplifying 1069/28, the answer is
= 38 5/28
And one more thing. An easier way to make a mixed number a improper fraction is the multiply the denominator by the whole number then add the numerator and whatever the denominator is it stays for example
38 5/28.
28 times 38 = 1064 then add the 5 and you get 1069! But we aren't done yet, the denominator was 28 so that means the full answer is 1069/28 and that is the Improper fraction form!
Hope this helps! (sorry I took so long)
~R.C aka dj
