There are 6 nickels and 14 pennies.
There are 20 total coins.
The ratio of nickels to coins is 6:20.
Both of these are divisible by 2, so we can reduce this to 3:10.
16 because 36 divided by 9 is 4 so you have to multiply the 4 x 4
Answer:
Henry is short of gravel
Step-by-step explanation:
Here, we are to identify which of the ingredients Henry is short of.
To identify this ingredient, what is needed to be done is to share the 180kg of concrete appropriately to get which of the material does not meet its ratio and thus allowing us know which is insufficient.
The total ratio is 1 + 4 + 7 = 12
For cement, we have ;
1/12 * 180 = 15 kg
For sand, we have
4/12 * 180 = 60kg
For gravel, we have
7/12 * 180 = 105 kg
From the values in the question, we can see that all the values we have are greater what is shared in the ratio except in the case of gravel. So we can confidently say he is short of gravel
If you factor the equation you can see what the solutions are. Two factor a quadratic of the form ax^2+bx+c, find two values which satisfy two conditions...
jk=ac=-15 and j+k=b=-2 so j and k must be -5 and 3 so the factors are:
(x-5)(x+3)
So the other solution is x=5
