The algebraic expression is x = 2y where, "x" is the number of goals with Kumar and "y" is the number of goals with Jacob
<em><u>Solution:</u></em>
Given that Kumar has twice the number of goals as Jacob
To find: algebraic expression
An algebraic expression is a mathematical expression that consists of variables, numbers and operations
<em><u>Let us first define the variables</u></em>
Let "x" be the number of goals with Kumar
Let "y" be the number of goals with Jacob
Then from given statement,
Number of goals with kumar = twice the number of goals as Jacob
Number of goals with kumar = 2(number of goals with Jacob)
x = 2y
Thus the algebraic expression is found
Answer:
$3,144
Step-by-step explanation:
Based on your tax table, the tax on an amount x over 9000 will be ...
t(x) = 0.054(x -9000) +0.05(9000 -2000) +0.02(2000)
= 0.054x -9000(0.054 -0.05) -2000(0.05 -0.02)
= 0.054x -36 -60
= 0.054x -96
Then the tax on 60,000 will be
t(60000) = 0.054(60000) -96 = 3240 -96 = 3144
The state income tax owed on $60,000 is $3,144.
_____
<em>Additional comment</em>
The standard calculation can be simplified as shown above. The tax table can be reduced to ...
![t(x)=\begin{cases}0.02x,&x\le2000\\0.05x-60,&20009000\end{cases}](https://tex.z-dn.net/?f=t%28x%29%3D%5Cbegin%7Bcases%7D0.02x%2C%26x%5Cle2000%5C%5C0.05x-60%2C%2620009000%5Cend%7Bcases%7D)
Answer:
16
Step-by-step explanation:
If n is number of nickles and d is number of dimes:
5n + 10d = 440
n = 3.5d
Substitute:
5(3.5)d + 10d = 440
17.5d + 10d = 440
27.5d = 440
d = 16
slope-point form:
we need the slope (m) and a point.
y-y₀=m(x-x₀)
Given two point A(x₁,y₂) and B(x₂,y₂), the slope of the line is :
m=(y₂-y₁) /(x₂-x₁)
Example 3:
we can take two points:
A(12,2)
B(13,7)
m=(7-2) / (13-12)=5/1=5
therefore:
y-2=5(x-12)
y-2=5x-60
y=5x-60+2
y=5x-58
answer: y=5x-58
Example 4:
we can take two points.
A(0,0)
B(3,1)
m=(1-0)/(3-0)=1/3
Therefore:
y-0=1/3(x-0)
y=x/3
answer: y=x/3
Answer: x=3
Explanation: just did it :) plz name me brainliest :)))