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Lapatulllka [165]
3 years ago
9

Mira and Gus go to a concert. Mira buys a t-shirt for $30 plus 9% tax. Gus buys a poster for $25 plus 9% tax. Write the differen

ce in the amount that Mira and Gus paid, including tax. Round your answer to the nearest cent.
Mathematics
1 answer:
Kaylis [27]3 years ago
5 0
9% of $30 is $2.70. 9% of $25 is $2.25. Therefore, Mira pays $32.70 and Gus pays $27.25. 32.70-27.25=5.45. The difference in the amount of that Mira and Gus paid is $5.45.
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Let A = −2 2 1 −3 1 1 2 0 −1 and B = 2 −1 0 1 2 1 −1 −2 4 . Use the matrix-column representation of the product to write each co
BigorU [14]

Answer:

AB = \left[\begin{array}{ccc}-3&4&6\\-6&3&5\\5&0&-4\end{array}\right]

Each column of AB is written as a linear combination of columns of Matrix A in the explanation below.

Step-by-step explanation:

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

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

We need to write each column of AB as a linear combination of the columns of A so we will multiply each column of A with each column element of B to get the column of AB. So,

AB Column 1 = 2 * \left[\begin{array}{ccc}-2\\-3\\2\end{array}\right]  + 1 \left[\begin{array}{ccc}2\\1\\0\end{array}\right] + (-1) \left[\begin{array}{ccc}1\\1\\-1\end{array}\right] = \left[\begin{array}{ccc}-3\\-6\\5\end{array}\right]

AB Column 2 = (-1)\left[\begin{array}{ccc}-2\\-3\\2\end{array}\right] + 2\left[\begin{array}{ccc}2\\1\\0\end{array}\right] + (-2)\left[\begin{array}{ccc}1\\1\\-1\end{array}\right] = \left[\begin{array}{ccc}4\\3\\0\end{array}\right]

AB Column 3 = (0)\left[\begin{array}{ccc}-2\\-3\\2\end{array}\right] + (1)\left[\begin{array}{ccc}2\\1\\0\end{array}\right] + 4\left[\begin{array}{ccc}1\\1\\-1\end{array}\right] = \left[\begin{array}{ccc}6\\5\\-4\end{array}\right]

Finally, we can combine all three columns of AB to form the 3x3 matrix AB.

AB = \left[\begin{array}{ccc}-3&4&6\\-6&3&5\\5&0&-4\end{array}\right]

4 0
3 years ago
Order the fractions from least to greatest.
pantera1 [17]

Answer:

that would be c

Step-by-step explanation:

is because it is least to greatest I hope this helps you

6 0
2 years ago
Evaluate the expression when x = 9.<br>x + 5(x + 2)​
jasenka [17]

Answer:

64

Step-by-step explanation:

x + 5(x + 2)​

Distribute

x + 5x+10

Combine like terms

6x+10

Let x = 9

6(9) +10

54+10

64

8 0
3 years ago
Read 2 more answers
1. What does it mean for a number to have a variable at the end of it? (i.e 1.6x)
miskamm [114]

Answer:

1. 1.6x has a variable which means an unknown number

2. 5 more than 0.10 times a number

Step-by-step explanation:

A variable is an unknown number represented by a letter. It provides a way to write a relationship in the real world without knowing all the values involved, 1.6x means 1.6 times an unknown number mathematically. A real world example would be a percent growth of 60% on an unknown price - 1.6x.

5 + 0.10x means 5 more than 0.10 times an unknown number. A real world example here would be "10% off a sale plus $5 coupon". We don't know the price of the item but we do know it is 10% off and we get $5 off. Once we know the price we input it int for x and find the total discount.

8 0
3 years ago
Someone please helppp.....
Alecsey [184]

I believe that the answer would be B) y = x + 19

3 0
3 years ago
Read 2 more answers
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