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Ber [7]
2 years ago
6

You have a job earning $12.50 per hour, and you receive a raise so that you earn $13.25 per hour. What is the percent change in

your salary?
Mathematics
1 answer:
Sonja [21]2 years ago
4 0

Answer: 6 %

Step-by-step explanation: 6 % of 12.5 = 0.75. 12.5 plus 0.75 = 13.25

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Which system of equations is represented by the matrix below? 1 5 11 4 -6-3 A. y + 5x = 11 4y - 6x = -3 B. X+ 5y = 11 4x - 6y =
Vitek1552 [10]

Answer: Choice B

x+5y = 11\\4x-6y = -3

=====================================

Explanation:

The given matrix is

\left[\begin{array}{cc|c}1&5&11\\4&-6&-3\end{array}\right]

The numbers to the right of the vertical bar represent the values on the right hand side of each equation in the final answer.

The numbers to the left of the bar represent the x and y coefficients of the equations. The first number of any given row is the x coefficient. The second number is the y coefficient.

For instance, the first row has \begin{array}{cc}1&5\end{array} to indicate the x coefficient is 1, and the y coefficient is 5. We end up with 1x+5y or simply x+5y. Putting everything together, the first equation would be x+5y = 11

Through similar steps, the second equation is  4x-6y = -3

3 0
3 years ago
Which of the following shows that ABCD is a parallelogram for x=6 and y =8? (20 points)
Reika [66]

Answer:

AB = CD = 44 and BC = AD = 31 ; so ABCD is a parallelogram

Step-by-step explanation:

A parallelogram should have two pairs of parallel sides meaning the length of side AB should be the same as the length of side CD and the length of side AD should be the same as the length of side BC.

<u>First, lets see if line AB is parallel to line CD.</u>

Let's start by finding out the length of line AB.

Since we know x = 6 we will replace x with 6 in the expression:

7(6) + 2 = 42 + 2 = 44

Now that we know the length of line AB is 44, lets find the length of line CD by replacing x with its value of 6:

9(6) - 10 = 54 - 10 = 44

Now that we know the length of line CD is 44, we can see that line AB is parallel to line CD since they both have the same length of 44.

<u>Now, lets see if line BC is parallel to line AD.</u>

Let's start by finding out the length of line BC.

Since we know y = 8 we will replace y with 8 in the expression:

3(8) + 7 = 24 + 7 = 31

Now that we know the length of line BC is 31, lets find the length of line AD by replacing y with its value of 8:

5(8) - 9 = 40 - 9 = 31

Now that we know the length of line AD is 31, we can see that line BC is parallel to line AD since they both have the same length of 31.

<u>Conclusion</u>

ABCD is a parallelogram because it contains two parallel sides.

5 0
3 years ago
How to work the problem 2u²=3u+2
vlabodo [156]
U= -1/2, 2

Hope it helps
6 0
3 years ago
Read 2 more answers
In sunlight, a vertical stick has a height of 5 ft and casts a shadow 3 ft long at the same time that a nearby tree casts a shad
leva [86]
The tree is 25 feet tall. Given the height of the stick and the shadow it cast, the angle formed by the sun and the stick's height can be obtained by taking the Inverse Tangent of 3/5. This is equal to 30.93. This angle is equal to the angle formed by the sun and the tree's height. Using the tangent formula, Tan (30.93)=tree's shadow (15 ft)/ height of the tree, giving the answer 25 feet.
7 0
3 years ago
Read 2 more answers
?.?.?.?.??.?..?.?.???..?..?
Mice21 [21]

Answer:

82

Step-by-step explanation:

Sides AB and BC are equal, which means angle BAC and BCA have the same measure, as stated in the base angles theorem. Angle BAC is 49 degrees, so angle BCA must also be 49 degrees. The sum of all angles in a triangle is 180 degrees, so angles BAC, BCA, and CBA will add up to 180. Write this in an equation:

BAC+BCA+CBA=180

BAC and BCA both measure 49 degrees:

49+49+CBA=180

Solve for CBA

CBA=180-49-49

CBA=82

lmk if i made any errors, hope this helps :)

6 0
3 years ago
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