Answer:
There are total 55 counters out of which 11 are green and 44 are other color.
Step-by-step explanation:
This is a ratio and proportion question. There are c amount of counters in the box .
The chosen have the same ratio as in the box
Green : total
4: 20
11: x
Using cross product rule
x * 4= 20 *11
x= 20*11/4
x= 55
So there are total 55 counters out of which 11 are green and 44 are other color.
Benedict take 20 counters out of which 4 are green.
Answer:
The expression for the total amount of Jamal earned is $ (14 y + 55)
Step-by-step explanation:
Given as :
The bonus amount earn by Jamal = $ 55
According to question
On Thursday
∵ For 1 hour of work , Jamal earn y dollars
∴ For 9 hours of work , Jamal will earn 9 × y = 9 y dollars
On Friday
∵ For 1 hour of work , Jamal earn y dollars
∴ For 5 hours of work , Jamal will earn 5 × y = 5 y dollars
So, The total earning on both days of his work = 9 y + 5 y = 14 y dollars
Since Jamal also earn bonus of $ 55
So, Total earning of Jamal including bonus = 14 y + $ 55
Hence The expression for the total amount of Jamal earned is $ (14 y + 55) Answer
Proportionality, assuming constant rate. 460 dives/12 hours = x dives/3 hours. Solve for x.
College Algebra Essentials by Julia Miller
Answer:
Step-by-step explanation:
Lets start by labeling the triangle. Lets say the height is x and the base is x-16.
Next, we know the area of the triangle is 96, so we should make an equation. The area (96) of a triangle is (b*h)/2. So lets substitute.
96=[(x-16)*x]/2
Now, we should simplify the equation. Let us start by moving the /2 to the other side and making it *2.
192=(x-16)*x
Open parenthesis and get
192=x^2-16x
simplify and get
x=24
x is the height so the base must be x-16.
base=8, height=24
