Answer:
The line slopes upwards from left to right wit a positive gradient and cuts the y-axis at y=2 and the x-axis at x=-3/2
Step-by-step explanation:
We first rearrange the equation to the order y=mx+c where m is the gradient and c the y intercept.
3y=4x+6
y=(4/3)x+2
The gradient is therefore 4/3 and the y intercept is 2.
At the c intercept, y=0
0=(4/3)x +2
(4/3)x=-2
x=-2×3/4
=3/2
The line slopes upwards from left to right with a positive gradient and cuts the y-axis at y=2 and the x-axis at x=-3/2
Answer:
<em>When 60 beats are heard, Tom hits 15 snare drums, Sam hits 6 kettle drums, and Matt hits 5 bass drums.</em>
Step-by-step explanation:
The Least Common Multiple ( LCM )
The LCM of two integers a,b is the smallest positive integer that is evenly divisible by both a and b.
For example:
LCM(20,8)=40
LCM(35,18)=630
Since Tom, Sam, and Matt are counting drum beats at their own frequency, we must find the least common multiple of all their beats frequency.
Find the LCM of 4,10,12. Follow this procedure:
List prime factorization of all the numbers:
4 = 2*2
10 = 2*5
12 = 2*2*3
Multiply all the factors the greatest times they occur:
LCM=2*2*3*5=60
Thus, when 60 beats are heard, Tom hits 15 snare drums, Sam hits 6 kettle drums, and Matt hits 5 bass drums.
Answer:
I get 20
Step-by-step explanation:
While there probably is some logical way to go about this I just did it in excel
screenshot below
Answer:
4/10 or simplified to 2/5
Step-by-step explanation:
when dividing fractions by a whole number, you want to imagine the whole number as a fraction. which would be 2/1. So you want to use the reciprocal of 2/1 which is 1/2. Then you multiple 4/5 by 1/2 which is 4/10 or simplified to 2/5 hope this helps :)
Answer:
$5.60
Step-by-step explanation:
interest = 3.5% = 3.5 ÷ 100 = 0.035
So 3.5% of $400 = 0.035 x 400 = $14
If Jonah spend 3/5 of the interest, then he gives his brother 2/5 of the interest each year.
2/5 of $14 = 2/5 x 14 = $5.60
