Answer:
- drink cost: $1.75
- slice of pizza cost: $2.25
Step-by-step explanation:
Let d and p represent the costs of a drink and a pizza slice, respectively. The two orders have a value ...
d + 3p = 8.50
2d + 2p = 8.00
Subtracting the second equation from twice the first gives ...
2(d +3p) -(2d +2p) = 2(8.50) -(8.00)
4p = 9.00 . . . . . simplify
p = 2.25 . . . . . . divide by 4
Solving the first equation for d and putting in the value, we have
d = 8.50 -3p = 8.50 -3·2.25 = 8.50 -6.75
d = 1.75
The cost of a drink is $1.75; the cost of a pizza slice is $2.25.
<span>1/2(7x-8)+2x =2-(10x+4)
Distribute
(7x-8)/2 + 2x = 2 -10x -4
combine like terms
(7x - 8)/2 + 2x = -10x - 2
Multiply both sides by 2
7x - 8 + 4x = -20x -4
Combine like terms
11x - 8 = -20x - 4
add 8 to both sides
11x = -20x + 4
add 20x to both sides
11x + 20x = 4
combine like terms
31x = 4
divide both sides by 31
x = 4/31 or </span><span>0.129.
Hope this helps :)</span>
Answer: d, rotation
Step-by-step explanation:
trapezoid 1 can rotate into trapezoid 3.
Translation means to move every single point in the same direction
Reflection means to mirror every point aka flipping it over
Dilation means to stay with the same points but to change size
Answer:
An identity matrix, is a matrix that have '1' in the main diagonal. All of the other terms are '0'. When you multiply any matrix by the identity matrix, the result is the same matrix that you multiplied.
Example:
![\left[\begin{array}{ccc}1&0&0\\0&1&0\\0&0&1\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%260%260%5C%5C0%261%260%5C%5C0%260%261%5Cend%7Barray%7D%5Cright%5D)
In the set of the real number is the same that the application of identity property.
Every number multiplied by 1 es the same number.
Step-by-step explanation:
Answer:
2 ; 10
Step-by-step explanation:
a + B = 12
a - B = 8
a = 12 - B
(12 - B) - B = 8
a = 12 - B
12 - 2B = 8
B = 2
A = 10
