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Ivan
2 years ago
14

A store salesperson is paid 3% of his sales as a commission. He made sales of $2500. How much was his commission?​

Mathematics
1 answer:
PolarNik [594]2 years ago
7 0

1) Write 3% as 3/100

2) Since, finding the fraction of a number is same as multiplying the fraction with the number, we have:

\frac{3}{100} of 2500 = \frac{3}{100} × 2500

Therefore, the answer is 75

If you are using a calculator, simply enter 3÷100×2500 which will give you 75 as the answer.

Commission = $75

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Semenov [28]
You have to divide 37.70. By 26
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3 years ago
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What value of b will cause the system to have an infinite number of solutions?
irga5000 [103]

b must be equal to -6  for infinitely many solutions for system of equations y = 6x + b and -3 x+\frac{1}{2} y=-3

<u>Solution: </u>

Need to calculate value of b so that given system of equations have an infinite number of solutions

\begin{array}{l}{y=6 x+b} \\\\ {-3 x+\frac{1}{2} y=-3}\end{array}

Let us bring the equations in same form for sake of simplicity in comparison

\begin{array}{l}{y=6 x+b} \\\\ {\Rightarrow-6 x+y-b=0 \Rightarrow (1)} \\\\ {\Rightarrow-3 x+\frac{1}{2} y=-3} \\\\ {\Rightarrow -6 x+y=-6} \\\\ {\Rightarrow -6 x+y+6=0 \Rightarrow(2)}\end{array}

Now we have two equations  

\begin{array}{l}{-6 x+y-b=0\Rightarrow(1)} \\\\ {-6 x+y+6=0\Rightarrow(2)}\end{array}

Let us first see what is requirement for system of equations have an infinite number of solutions

If  a_{1} x+b_{1} y+c_{1}=0 and a_{2} x+b_{2} y+c_{2}=0 are two equation  

\Rightarrow \frac{a_{1}}{a_{2}}=\frac{b_{1}}{b_{2}}=\frac{c_{1}}{c_{2}} then the given system of equation has no infinitely many solutions.

In our case,

\begin{array}{l}{a_{1}=-6, \mathrm{b}_{1}=1 \text { and } c_{1}=-\mathrm{b}} \\\\ {a_{2}=-6, \mathrm{b}_{2}=1 \text { and } c_{2}=6} \\\\ {\frac{a_{1}}{a_{2}}=\frac{-6}{-6}=1} \\\\ {\frac{b_{1}}{b_{2}}=\frac{1}{1}=1} \\\\ {\frac{c_{1}}{c_{2}}=\frac{-b}{6}}\end{array}

 As for infinitely many solutions \frac{a_{1}}{a_{2}}=\frac{b_{1}}{b_{2}}=\frac{c_{1}}{c_{2}}

\begin{array}{l}{\Rightarrow 1=1=\frac{-b}{6}} \\\\ {\Rightarrow6=-b} \\\\ {\Rightarrow b=-6}\end{array}

Hence b must be equal to -6 for infinitely many solutions for system of equations y = 6x + b and  -3 x+\frac{1}{2} y=-3

8 0
3 years ago
Which expression is equivalent to 7/2h -3(5h-1/2) ?
docker41 [41]
Another expression that is equivalent to 7/2h-3(5h-1/2) is -23/2h+3/2
8 0
2 years ago
Which best describes the range of numbers that satisfy the inequality x&gt; 124?
nekit [7.7K]

Answer:

Answer shown below

Step-by-step explanation:

The range has a lower limit but no upper band limit

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4 0
3 years ago
6 sweets cost 42p altogether how much do 8 sweets cost
Eddi Din [679]
The best thing to do is to find the cost of one sweet, and to do this, divide 42 by 7.
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To find the cost of 8 sweets, you've got to multiply 6 by 8, and this gives you 54p.
Therefore, 8 sweets cost 54p
This is basically just finding unit rate and multiplying.
<span>Hope this helps :)</span>
8 0
2 years ago
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