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Lilit [14]
3 years ago
9

mike and mandy bought the same item mike paid 15000 mandy got a discount and paid 3000 less than mike how much of a discount did

she get (find percent)
Mathematics
2 answers:
slega [8]3 years ago
5 0
She got a 20% discount
Yanka [14]3 years ago
4 0
She got a 20% discount
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Evaluate the expression when x = 2, y = 5, and z = 4.
Stolb23 [73]

10y+x²

10(5)+(2)²

10(5)+4

50+4

54

Therefore, the expression has a value of 54.

5 0
2 years ago
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
the difference of two numbers is 9 The larger number is 6 less then twice the smaller number. gind the number
solong [7]
The numbers are 15 and 24
7 0
2 years ago
Read 2 more answers
Pls help will give 5 stars and heart
Tamiku [17]
So the circle is 39.25
And the area of triangle 30 together about 39.25
5 0
2 years ago
Please help with math​
m_a_m_a [10]

Answer:

24420.5

Step-by-step explanation:

Multiply all the numbers together to get the length of the cubiod

221*8.5*13= 24420.5

Hope this helped!

5 0
3 years ago
Read 2 more answers
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