There are 90 hats all together. from just red the fraction is 20/90. 20 divide by 90 = .22
there is a 22% chance.
Answer:
127.5
Step-by-step explanation:
First, we need to find the value of x
since the two angles are connected to a straight line, their sum will be 180 (degrees)

add the angles together

add 2 to both sides

divide out by 8

now we must determine which angle has the greater value (not visually)









so the answer would be 127.5
Answer:
x = 5 and x = -19
Step-by-step explanation:
You're on the right track. It's the "discriminant" that tells you what you want to know here. Before starting, arrange the terms of your quadratic in descending orders of x: 5x^2 + 14x - 19 = 0 (Note that I assumed you meant 14x instead of just 14).
Then the coefficients of this quadratic are a = 5, b = 14 and c = -19.
You are referring to the "quadratic formula." It states this:
-b ± √(b²-4ac)
x = -----------------------
2a
So, we insert the a, b and c values as indicated above:
-14 ± √( 14² - 4[5][-19] ) -14 ± √(196 - 4[5][-19] ) -14 ± √576
x = ----------------------------------- = ---------------------------------- = ----------------------
2(10) 20 20
This comes out to:
x = (-14 + 24) / 2 and x = (-14 - 24) / 2
or:
x = 5 and x = -19
Answer:
500 figures.
Step-by-step explanation:
We know that 185 figures is 37% of her entire collection.
Let c represent the total amount of figures.
Since 185 is 37% or 0.37 <em>of</em> her total collection, we can write the equation:

Remember that the keyword <em>of</em> tells us it's multiplication.
Therefore, to find the number of figures in her total collection, divide both sides by 0.37:

Evaluate. Use a calculator. So:

Sofia's total collection has 500 figures.