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Vesnalui [34]
3 years ago
14

An entertainment firm offer serveral DJ choices and light shows that range in price based on the rental time period. The DJs cos

t between $219 and $369 per night and the light shows cost between $159 and $309 per night. if you are booking both a DJ and a light show write a compound inequality that represents the possible total amount you would pay x
Mathematics
1 answer:
Fantom [35]3 years ago
3 0

Answer:

378\le x\le 678.

Step-by-step explanation:

If you are booking both a DJ and a light show and the DJs cost between $219 and $369 per night and the light shows cost between $159 and $309 per night,  then the possible total amount you would pay x must be between $(219+159)=$378 (the least price) and $(369+309)=$678 (the greatest price).

A compound inequality will take look

378\le x\le 678.

You might be interested in
Luke has $21 more than rachel and $48 more than daniel. altogether they have $168. how much does luke have?
Anettt [7]

this can be solve by 3 variable equation

let x be the money of luke

y money of rachel

z money of daniel

first equation

x = y + 21

second equation

x = z + 48

third equation

x + y + z = 168

solving simultaneously

x =79

y = 58

z = 31

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7 0
3 years ago
8y-2d=0 5y+4d=26 1/4
Anit [1.1K]

Answer:

y = 1

d = 4

Step-by-step explanation:

8y - 2d = 0 ---------------(I)

5y + 4d = 26 1/4

5y + 4d =  105/4  ------------------(II)

(I)*2      16y  - 4d = 0

(II)          <u>5y + 4d = 105/4</u>      {add (I) &(II)}

             21y        = 105/4

y = \frac{105}{5*21}\\\\y=\frac{105}{105}\\\\y = 1

Substitute y =1 in equation (I)

8*1 - 2d = 0

8 - 2d = 0

   -2d = -8

      d = -8/-2

d = 4

7 0
3 years ago
Read 2 more answers
Let f(x) = 1/x . Find the number b such that the average rate of change of f on the interval [2, b] is − 1/8
vekshin1

Answer:

b=4

Step-by-step explanation:

So, we have the function f(x)=1/x. We need to find b such that the average rate of change or the slope is -1/8 between the intervel [2, b]. First, let's find f(2).

f(2) = 1/(2) = 1/2

So, we have the point (2, 1/2)

At point b, f(b) = 1/b.

Let's plug this into the slope formula:

\frac{y_2-y_1}{x_2-x_1}=\frac{.5-\frac{1}{b} }{2-b}  =-1/8

Now, we just need to solve for b. First, let's multiply both the numerator and denominator by b (to get rid of the annoying fraction in the numerator).

\frac{.5b-1}{2b-b^2} =\frac{-1}{8}

Now, cross multiply.

4b-8=b^2-2b

b^2-6b+8=0

Solve for b. Factor using the numbers -4 and -2.

=(b-4)(b-2)=0

Thus, b=4 or b=2.

However, b=2 is not a possible solution since the interval [2,2] means nothing. Thus, b=4.

4 0
3 years ago
What is the slope of the line that passes through the points (1, -2) and (3, -5)?
Ksivusya [100]

Slope of the line is -3/2

Step-by-step explanation:

  • Step 1: Given points are (1, -2) and (3, -5)
  • Step 2: Equation for slope, m = (y2 - y1)/(x2 - x1)

⇒ m = (-5 - -2)/(3 - 1) = -3/2

4 0
3 years ago
PLEASEEE HELP WILLL GIVE BRAINLEAST!!!!!!
Crank

Answer:

B. y = 1.3 + 2

Step-by-step explanation:

The slope is positive, and the y intercept is at positive 2.

3 0
3 years ago
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