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Flauer [41]
3 years ago
5

Lindsey earns $15 per hour for the first 40 hours she works in a week and 50% more for every hour over 40. How many hours did Li

ndsey work in a week when she was paid $937.50 before taxes?
A. 15 hours
B. 30 hours
C. 40 hours
D. 45 hours
E. 55 hours​
Mathematics
1 answer:
solmaris [256]3 years ago
7 0

Answer:

E. 55 hours.

Step by step:

Multiple $15x40, equals $600

Subtract $600 from $937.50, equals $337.50

50% more over 40 hours is $22.50

Divide $337.50 by $22.50, equals 15

Add 15 to 40, equals 45

So she worked 55 hours to get paid $937.50

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Evaluate the following expression: 2(1,1) -4(0,1). enter your answer as a vector.
wolverine [178]

Answer:

The answer is (2,-2)

You just distribute the 2 into (1,1) and same with the -4 into (0,1) and add them together ‍

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
A rectangular painting has an area of (2x^2 + 8x + 6) cm^2 . Its length is (2x + 2) cm. Find the width of the painting.
Gnesinka [82]

Answer:

Width = x + 3

Step-by-step explanation:

The formula for the area of a rectangle is:  A = LW, where A=area, L = length and W = width.  In order to get the expression for the value of the width, you first need to factor each equation given for both the area and the length.  Starting with the length (2x + 2), you can factor out the 2 to get: 2(x+1).  With the area: 2x² + 8x + 6, you can first factor out the 2 to get:  2(x² + 4x + 3).  Next, you can factor the polynomial: 2(x + 3)(x + 1).  Lastly, in order to find the width, you divide the area by the length:

\frac{2(x + 3)(x + 1)}{2(x+1)}

Crossing out the common terms from the numerator and denominator, '2' and '(x + 1)', we get a final answer of W = x + 3.

8 0
4 years ago
The product of 3 consecutive even integers is equal to the cube of the first plus the square of the second plus twice the square
algol [13]

Answer:

6, 8 and 10  and  -2, 0, 2

There are two roots x = -2 and 6,    

but the since I don't believe 0 is an even number the answer is 6, 8 and 10

I was incorrect according to G0ggle zero is an even number so another answer is  -2, 0, 2

Step-by-step explanation:

read the question and convert the English to mathematics

x, y and z    even consecutive number

y = x+2

z = y+2 = x+4

and

xyz = x³ + y² + 2z²                                   substitiute x terms  in for y and z

x(x+2)(x+4)  = x³ + (x+2)² + 2(x+4)²           solve for x by graphing on DEMOS

                                                                 x = -2, 6  solved algebraically below

x = -2   y=0   z=2

x = 6    y=8   z=10

Checked both answers

xyz = x³ + y² + 2z²

-2(0)2 = -8 + 0 + 8                  when x = -2

   0   =  0

and

6(8)(10)  =  6³ + 8² +2(10)²      when x = 6

   480   =  216+64+200

             =  480

x(x+2)(x+4)  = x³ + (x+2)² + 2(x+4)²                           solved algebraically

(x²+2x)(x+4)   = x³ + x² +4x +4 + 2x² + 16x + 32

x³ + 6x² + 8x = x³ + x² +4x +4 + 2x² + 16x + 32

x³ + 6x² + 8x = x³ + 3x² + 20x + 36

      3x² - 12x - 36 = 0         factor out the 3

      3[x² - 4x - 12] = 0

       3(x+2)(x-6) = 0     x = -2 and -12

6 0
3 years ago
A news report says that 9% of middle school students are on the track team.
Ratling [72]

Answer:

54 students.

Step-by-step explanation:

If you have 600 and 9% the nearest rounding point is %10. %10 of 600 is 60, and 1% of 60 is 6, so 60-6=54.

3 0
3 years ago
What is the value of n? Enter your answer in the box. n = cm Circle with two intersecting chords forming an x shape in the circl
Contact [7]
Answer: The length of the bottom left side is 14.

To find the length of this side, we need to know the relationship between the different sections when chords cross each other.

The relationship is that if you multiply the 2 parts of each chord together, it will equal the product of the two sides in the other chord.

Our equation can be written as:

7(8) = 4(x)
56 = 4x
14 = x
3 0
3 years ago
Read 2 more answers
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