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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.

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By 3:00 pm, the temperature increased by another 5 degrees Fahrenheit was the temperature at 3:00pm positive or negative?
Ad libitum [116K]

Answer:

Part a) The temperature at noon was -3°F

Part b) The temperature at 3:00 pm was +2°F

Part c) The temperature at 11:00 pm was -6°F

Step-by-step explanation:

The complete question is

When Leo woke up he saw that the temperature was -8°F. By noon the temperature has increased 5°F. Part a) What was the temperature at noon?

Part b) By 3:00 pm, the temperature increased by another 5 degrees Fahrenheit was the temperature at 3:00 pm positive or negative?

Part c) By 11:00 pm, the temperature had dropped 8°F. Was the

temperature at 11:00 PM positive or negative? Explain.​

Part a) we know that

You can use a number line to adds the numbers

-8+5=-3°F

therefore

The temperature at noon was -3°F

Part b) we know that

the temperature increased by another 5 degrees

You can use a number line to adds the numbers

-3+5=+2°F

therefore

The temperature at 3:00 pm was +2°F

Part c) we know that

the temperature had dropped 8°F

You can use a number line to adds the numbers

2-8=-6°F

therefore

The temperature at 11:00 pm was -6°F

6 0
3 years ago
Which of the following rational expressions has the domain restrictions X = -6 and x = 1?
Tcecarenko [31]

The domain of the function is possible values of independant varaible such that function is defined or have real values.

So the expression

\frac{(x+2)(x-3)}{(x-1)(x+6)}

is not defined for x = -6 and for x = 1, as expression becomes undefined for this values of x (Denominator becomes 0).

So answer is,

\frac{(x+2)(x-3)}{(x-1)(x+6)}

Option B is correct.

7 0
1 year ago
Find the value of x. Write your answer as a simplified radical if necessary.
Andreas93 [3]

Answer:

x=5

Step-by-step explanation:

The right angle opposite is the hypotenuse

The 30° is the opposite

SohCahToa

Soh = Sin because you got Opposite and Hypotenuse (because you're trying to find the side, you'd do the opposite of dividing, which is times)

10×sin(30)=5

3 0
3 years ago
1. Which words represent ADDITION<br> less than<br> sum<br> more than<br> times
Vlad1618 [11]

Answer:

more than

Step-by-step explanation:

8 0
3 years ago
-5x+3y=6 in slope intercept form
Leno4ka [110]

slope intercept form is y=mx+b

To find this from standard form you need to remove x to the other side. To do this you need to add 5x to both sides. You will end up with 3y=5x+6. To yet the y by itself you need to divide everything in the equation by 3. You would end up with y=5/3x +2 which is the equation in slope intercept form

8 0
3 years ago
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