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umka21 [38]
3 years ago
13

The student council wants to rent a chocolate fountain for an overnight dance-a-thon. Their budget allows them to spend a maximu

m of $250 on the chocolate fountain rental. A party rental store has a fountain available for $30 an hour after a deposit of $125. If x represents the number of hours, which inequality represents the situation?
Mathematics
2 answers:
Lilit [14]3 years ago
7 0

Answer:

its 3x+125 ≤ 250

Step-by-step explanation:

i got it right

vekshin13 years ago
6 0
$125 is a "must budget" so it will be the constant in the inequality

The fountain is $30 per hour. If they spend x hours, then their budget for fountain will be
fountain = 30x

The inequality
Their budget is maximum $250, that means they are able to spend less than or equal to $250
constant + fountain ≤ 250
125 + 30x ≤ 250
<em>This is the inequality expression</em>
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Mr. Freye distributed $126 equally among his 4 children for their weekly allowance how much money did each child receive?
mote1985 [20]

Answer:

$10.50

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
2. Global Cable paid dividends of $0.28 and $0.16 per share last year. Given yesterday's closing price was $11.27, determine the
Kay [80]

Answer:

3.90%

Step-by-step explanation:

Relevant Data provided as per the question below:

Annual dividend = $0.28 and $0.16

Current per share = $11.27

According to the given situation, the calculation of the current yield of the stock is shown below:-

Current yield is

= \frac{Annual\ dividend}{Current\ share\ price} \times 100\\\\ = \frac{0.28 + 0.16}{11.27} \times 100

= \frac{0.44}{11.27} \times 100

= 3.90%

Therefore for computing the current yield of the stock we simply applied the above formula.

6 0
3 years ago
Please help it’s very cunning
gregori [183]
The answer to you question is B
7 0
2 years ago
PLEASE ANSWER ASAP!!!!!!!!!!
IgorLugansk [536]

The equation of the sin function is y = 3sin(πx/2) + 1, and the graph of the function is shown in the picture.

<h3>What is sin function?</h3>

It is defined as a function that is sinusoidal in nature, and it has a domain of all real numbers and lies between the [a, a]where is the amplitude of the function.

As we know the sin function is represented by:

y = Asin(Bx) + C

Here,

A = The amplitude  =  3

C = The vertical shift  = 1

B - The period in terms of π

B = 2π/amplitude

B = 2π/4

B = π/2

The becomes:  

\rm y = 3sin(\dfrac{\pi }{2}x)+1

Thus, the equation of the sin function is y = 3sin(πx/2) + 1, and the graph of the function is shown in the picture.

Learn more about the sin function here:

brainly.com/question/14397255

#SPJ1

3 0
1 year ago
Which of the following is equivalent to tan2θcos(2θ) for all values of θ for which tan2θcos(2θ) is defined?
Aloiza [94]

Answer:

2sin²θ - tan²θ

Step-by-step explanation:

Given

tan²θcos(2θ)

Required

Simplify

We start by simplifying cos(2θ)

cos(2θ) = cos(θ+θ)

From Cosine formula

cos(A+A) = cosAcosA - sinAsinA

cos(A+A) = cos²A - sin²A

By comparison

cos(2θ) = cos(θ+θ)

cos(2θ) = cos²θ - sin²θ ----- equation 1

Recall that cos²θ + sin²θ = 1

Make sin²θ the subject of formula

sin²θ = 1 - cos²θ

Substitute sin²θ = 1 - cos²θ in equation 1

cos(2θ) = cos²θ - (1 - cos²θ)

cos(2θ) = cos²θ - 1 +cos²θ

cos(2θ) = cos²θ + cos²θ - 1

cos(2θ) = 2cos²θ - 1

Substitute 2cos²θ - 1 for cos(2θ) in the given question

tan²θcos(2θ) becomes

tan²θ(2cos²θ - 1)

Open brackets

2cos²θtan²θ - tan²θ

------------------------

Simplify tan²θ

tan²θ = (tanθ)²

Recall that tanθ =  sinθ/cosθ

So, we have

tan²θ = (sinθ/cosθ)²

tan²θ = sin²θ/cos²θ

------------------------

Substitute sin²θ/cos²θ for tan²θ

2cos²θtan²θ - tan²θ becomes

2cos²θ(sin²θ/cos²θ) - tan²θ

Open bracket (cos²θ will cancel out cos²θ) to give

2(sin²θ) - tan²θ

2sin²θ - tan²θ

Hence, the simplification of tan²θcos(2θ) is 2sin²θ - tan²θ

Option E is correct

7 0
2 years ago
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