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Shtirlitz [24]
2 years ago
12

A mattress store is having a sale all mattresses are 30% of. Nate wants to know the sale price of a mattress that is regularly $

1,000
Mathematics
1 answer:
koban [17]2 years ago
5 0

Answer: $700

Step-by-step explanation:

The store is selling at 30% off.

If a mattress is $1,000, first find out what 30% of $1,000 is:

= 1,000 * 30%

= $300

The store is selling 30% off, this means that they are reducing the price by 30%:

= 1,000 - 300

= $700

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Jenny and her children went to the SeaWorld.She purchased adult ticket for herself and children tickets for her 2 boys. Tickets
dangina [55]

Given:

She purchased adult ticket for herself and children tickets for her 2 boys.

Cost of one adult ticket = $39.99

Cost of one child ticket = $19.99

To find:

The expression to represent the total cost of the tickets Jenny purchased.

Solution:

Let x represent the number of adult ticket purchase

and y represent the number of child tickets purchase.

Cost of one adult ticket = $39.99

Cost of one child ticket = $19.99

Total cost = 39.99x + 19.99y

Therefore, the expression for total cost is 39.99x + 19.99y.

She purchased one adult ticket and 2 child tickets.

Substitute x=1 and y=2 in the above expression.

Total cost = 39.99(1) + 19.99(2)

               = 39.99 + 39.98

               = 79.97

Therefore, the required expression to represent the total cost of the tickets Jenny purchased is 39.99(1) + 19.99(2) and total cost is $79.97.

3 0
3 years ago
Combine the radicals -2 Square root 13 + 19 Square root 13
Alina [70]
The answer is 6.8383838
3 0
3 years ago
Standard form of 40+5+6+.03
Sever21 [200]
40
+5
+6
.03
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= 51.03
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6 0
3 years ago
Read 2 more answers
Find the characteristic polynomial of A. Use x for the variable in your polynomial.You do not need to factor your polynomial. A
Vesna [10]

Answer:  The required characteristic polynomial of the given matrix A is x^3+6x+11x+6=0.

Step-by-step explanation:  We are given to find the characteristic polynomial  of the following 3 × 3 matrix A  with unknown variable x :

A=\left[\begin{array}{ccc}0&0&1\\4&-3&4\\-2&0&-3\end{array}\right].

We know that

for any square matrix M, the characteristic polynomial is given by

|M-xI|=0, where I is an identity matrix of same order as M.

Therefore, the characteristic polynomial of matrix A is

|A-xI|=0\\\\\\\Rightarrow \left|\left[\begin{array}{ccc}0&0&1\\4&-3&4\\-2&0&-3\end{array}\right]-x\left[\begin{array}{ccc}1&0&0\\0&1&0\\0&0&1\end{array}\right]\right|=0\\\\\\\Rightarrow \left|\left[\begin{array}{ccc}-x&0&1\\4&-3-x&4\\-2&0&-3-x\end{array}\right] \right|=0\\\\\\\Rightarrow -x(3+x)^2+1(0-6-2x)=0\\\\\Rightarrow  (x+3)(-3x-x^2-2)=0\\\\\Rightarrow (x+3)(x^2+3x+2)=0\\\\\Rightarrow x^3+6x+11x+6=0.

Thus, the required characteristic polynomial of the given matrix A is x^3+6x+11x+6=0.

6 0
3 years ago
I need help here’s a picture can somone explain what I need to do??
galina1969 [7]

Answer:

176 square feet

Step-by-step explanation:

add the areas of the rectangle and triangle

rectangle area is

16 times 8 which is

128

rectangle area is

1/2 times 12 times 8 which is

48

then add them

128 plus 48 is

176 square feet

5 0
2 years ago
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