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marusya05 [52]
3 years ago
9

Your sister is getting married this summer and she asked you to help her select a D.J. for the big event. You called around and

found that Dave the D.J. charges a $150.00 set-up fee, plus $10.50 per hour. You discover Marvin’s Mobile Music Machine has a $135.00 set-up fee, plus $15.00 per hour.
Which D.J. will you recommend to your sister? Be sure to clearly support your recommendation mathematically.
Mathematics
1 answer:
Gekata [30.6K]3 years ago
3 0
It depends on how long the wedding is. Marvin has a $15 lower flat fee but a $4.50 more expensive hourly fee. Therefore, if the wedding is longer than 15/4.50=3.33 hours, it would make more sense to go with Dave. If the wedding is shorter than 3.33 hours, it makes more sense to go with Marvin.
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The area of a rectangle is 14 yd2 , and the length of the rectangle is 3 yd less than twice the width. find the dimensions of th
ExtremeBDS [4]
Let x be the width 
2x-3= length 

(2x-3)(x)=14
2x^2-3x=14 
2x^2-3x-14=0 
(2x- 7)(x+2)=0 
x=7/2 or x=-2

Since we know that negative values cannot exist in distance, we have to take 7/2 to as the correct answer. 

The width would be 3.5 yards 
Length= 2(3.5)-3 
=4 yards 

3.5 x 4 yards is the dimension of the rectangle 

Hope I helped :) 

8 0
3 years ago
Write the expression for when you translate the graph of y = | 1/2 x−2 |+3 a) one unit up, b) one unit down, c) one unit to the
alukav5142 [94]

Answer:

  a) y = |x/2 -2| +4

  b) y = |x/2 -2| +2

  c) y = |(x+1)/2 -2| +3

  d) y = |(x-1)/2 -2| +3

Step-by-step explanation:

To translate the function f(x) by (h, k) in the (right, up) direction, you transform it to ...

  g(x) = f(x -h) +k

<u>a) one unit up</u>

Add 1 to the function value.

  y=\left|\dfrac{x}{2}-2\right|+3+1\\\\\boxed{y=\left|\dfrac{x}{2}-2\right|+4}

<u>b) one unit down</u>

Subtract 1 from the function value.

  y=\left|\dfrac{x}{2}-2\right|+3-1\\\\\boxed{y=\left|\dfrac{x}{2}-2\right|+2}

<u>c) one unit left</u>

Replace x with x-(-1).

  y=\left|\dfrac{x-(-1)}{2}-2\right|+3\\\\\boxed{y=\left|\dfrac{x+1}{2}-2\right|+3}

<u>d) one unit right</u>

Replace x with x-1.

  \boxed{y=\left|\dfrac{x-1}{2}-2\right|+3}

7 0
3 years ago
What is X in the equation -15x+15(-4)=-30
love history [14]

<em><u>Answer: x=-2 *The answer should be the negative sign.*</u></em>

Step-by-step explanation:

distributive property: a(b+c)=ab+ac

remove parenthesis

-15x-15*4=-30

15*4=60

-15x-60=-30

add 60 both sides of an equation.

-15x-60+60=-30+60

simplify.

-15x=30

divide by -15 both sides of an equation.

-15x/-15=30/-15

simplify.

30/15=2

x=-2

Hope this helps!

Thanks!

Have a great day!

7 0
3 years ago
PLEASE HELP ME AND PLEASE BE RIGHT I ALREADY HAVE AN 80 :(
ELEN [110]

Answer:

D

Step-by-step explanation:

When calculating the area of a parallelogram, use the formula A = l*h where length is the longest length and h is the perpendicular height of the shape. For this parallelogram, substitute l = 14 and h = 8.

A = l*w = 14*8 = 112

6 0
3 years ago
18+(-4)-2/5j-4/5j+5? what is the answer
Serga [27]

Answer:

19 6j/5

Step-by-step explanation:

3 0
3 years ago
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