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elena55 [62]
3 years ago
8

At the neighborhood Fourth of July party, Mrs. O’Conner plans to serve banana pudding. She plans to make two batches for every 9

people attending. If 72 people will attend the Fourth of July party, how many batches does Mrs. O’Conner need to make ?
Mathematics
1 answer:
Oduvanchick [21]3 years ago
4 0

Answer:

16 batches are to be made for the party.

Explanation:

Given:

Number of batches  for every 9 people= 2

Total number of people attending the party=72

To Find:

The Number of  batches required=?

Solution:

Let the number of batches for 72 people be n  

So, by cross multiplication method,  

2 x 72 = n x 9  

9n = 72 x 2  

n = 8 x 2  

n = 16  

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Answer: (3, -1)

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|x| ==> |x-3|         Translate the graph 3 units to the right

Vertex: (0+3, 0) ==> (3, 0)

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Vertex: (3, -1)

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How many times larger is 8 x 10^4 than 2 x 10^2
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400 times Greater

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Read 2 more answers
I need help asap pls and thank you ;)
olga55 [171]

Answer:

\text{Length of AB is }\frac{ah}{a+h}

Step-by-step explanation:

Given △KMN, ABCD is a square where KN=a, MP⊥KN, MP=h.

we have to find the length of AB.

Let the side of square i.e AB is x units.

As ADCB is a square ⇒ ∠CDN=90°⇒∠CDP=90°

⇒ CP||MP||AB

In ΔMNP and ΔCND

∠NCD=∠NMP     (∵ corresponding angles)

∠NDC=∠NPM     (∵ corresponding angles)

By AA similarity rule,  ΔMNP~ΔCND

Also, ΔKAP~ΔKPM by similarity rule as above.

Hence, corresponding sides are in proportion

\frac{ND}{NP}=\frac{CD}{MP} \thinspace\thinspace and\thinspace\thinspace \frac{KA}{KP}=\frac{AB}{PM} \\\\\frac{ND}{NP}=\frac{x}{h} \thinspace\thinspace and\thinspace\thinspace \frac{KA}{KP}=\frac{x}{h}\\\\\frac{NP}{ND}=\frac{h}{x} \thinspace\thinspace and\thinspace\thinspace \frac{KP}{KA}=\frac{h}{x}\\\\\frac{PD}{ND}=\frac{h}{x}-1 \thinspace\thinspace and\thinspace\thinspace \frac{AP}{KA}=\frac{h}{x}-1\\

KA(\frac{h}{x}-1)=AP

ND(\frac{h}{x}-1)=PD

Adding above two, we get

(KA+ND)(\frac{h}{x}-1)=(AP+PD)

⇒ (KN-AD)=\frac{x}{(\frac{h}{x}-1)}

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⇒ a-x=\frac{x^2}{h-x}

⇒ x^2=ah-ax-xh+x^2

⇒ x(h+a)=ah

⇒ x=\frac{ah}{a+h}

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Sadly there is no way to graph properly on this website.
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