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Lostsunrise [7]
3 years ago
13

Olivia is hosting a dinner party in her garden. She has hired caterers to serve dinner. The caterers charge a fee to set-up the

dinner and $3 per person attending. The cost for 10 dinner guests is $70. Write an equation showing the cost of the dinner party as a function of the number of guests

Mathematics
1 answer:
natka813 [3]3 years ago
5 0

Answer:

Olivia is hosting a dinner party in her garden. She has hired caterers to serve dinner. The caterers charge a fee to set-up the dinner and $3 per person attending. The cost for 10 dinner guests is $70. Write an equation showing the cost of the dinner party as a function of the number of guests

Step-by-step explanation:

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Algebraic fractions<br> x² + 5x+4 /<br> x²+ 4x + 3
Tresset [83]

Answer:

\frac{x+4}{x+3}

Step-by-step explanation:

Given

\frac{x^2+5x + 4}{x^2+4x+3} ← factor numerator and denominator

= \frac{(x+1)(x+4)}{(x+1)(x+3)} ← cancel common factor (x + 1) on numerator/ denominator

= \frac{x+4}{x+3}

8 0
3 years ago
Physics students were modeling the height of a ball once it was dropped from the top of a 10 foot ladder. The
julsineya [31]

Answer:

<em>Interval notation: [0, 2.236]</em>

<em>Set Builder notation: </em>\{t\ |\ 0\le t\le 2.236\}

Step-by-step explanation:

Given that:

Equation of height of the ball dropped from a height of 10 foot, as:

h(t) = 10 - 2t^2

Where t is the time since the ball was dropped.

To find:

The domain of the function in Interval and set builder notation.

Solution:

<em>Domain of a function </em>is defined as the set of valid input values that can be given to the function for which the function is defined.

Here, input is time.

We can not have negative values for time.

Therefore, starting value for time will be <em>0 seconds</em>.

And the value of height can not be lesser than that of 0 ft.

0= 10 - 2t^2\\\Rightarrow 2t^2=10\\\Rightarrow t^2=5\\\Rightarrow t =2.236\ seconds

Maximum value for time can be 2.236 seconds.

Therefore the domain is:

<em>Interval notation: [0, 2.236]</em>

<em>Set Builder notation: </em>\{t\ |\ 0\le t\le 2.236\}

4 0
3 years ago
Aleta went to dinner. the bill was 36. she gave the waiter a 15% tip. what was the total ammount Aleta spend on the food and the
marshall27 [118]
She spent 5.4 on tip so her overall total is $41.40
4 0
3 years ago
Inequalities!
kari74 [83]
Is there a picture!
8 0
2 years ago
Read 2 more answers
Lita,Kala, and Rose entered a typing competition. Lita typed 2 times as fast as Kala. The ratio of the number of words Kala type
Jobisdone [24]
If the ratio from Kala to Rose is 4:1, then for the 48 words Rose typed Kala typed 192 words. 48*4=192
Then Lita types twice as fast so 192*2=384.
It should be 384 words.
6 0
3 years ago
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